I believe the answer would be protentional because they have the potential energy in them to lift the hammer.
50 points!
Light waves of frequency 6 x 10^14 Hz have a wavelength of 3.75 x 10^-7 m in water. What is their speed in water?
\(\\ \bull\sf Frequency=f=6\times 10^{14}Hz\)
\(\\ \bull\sf Wavelength=\lambda=3.75\times 10^{-7}m\)
Now
. Velocity=v\(\\ \sf\longmapsto v=f\lambda\)
\(\\ \sf\longmapsto v=6\times 10^{14}s^{-1}\times 3.75\times 10^{-7}m\)
\(\\ \sf\longmapsto v=22.5\times 10^7ms^{-1}\)
Answer:
velocity=v = 22.5 * 10⁷ m s ^ - 1
Explanation:
\(\sf\longmapsto \: Frequency = 6 * 10 ^ {14 } H z\)
\(\sf\longmapsto \: Wavelength = 3.75 \times 10 {}^{-7} m\)
Now let's solve out!!
\(\sf\longmapsto \: velocity = frequency \lambda\)
\(\sf\longmapsto \: velocity=6 \times 10 {}^{14} s {}^{ - 1} \times \ 3.75 \times 10 {}^{ - 7} m\)
\(\sf\longmapsto \: velocity= 22.5 \times 10 ^ 7 m s ^ { - 1}\)
Note:
\(\lambda\) is the Greek letter known as lambda.
A 0.5kg wooden block is placed on top of a 1.0kgwooden block. The coefficient static friction between the two blocks is 0.35. The coefficient of kinetic friction between the lower block and the level table is 0.20 wht is the maximum horizontal force that can be applied to the lower block
A block of 0.5 kg is placed on top of another wooden block which weighs 1.0 kg. The coefficient of static friction between the two blocks is 0.35, whereas the coefficient of kinetic friction between the lower block and the level table is 0.20.
To calculate the maximum horizontal force that can be applied to the lower block, we need to determine the limiting frictional force between the two blocks.
Since the upper block is not moving, the force of static friction is acting on it. We can calculate this force as follows:
`F_static = friction coefficient * normal force`
where, normal force = weight of upper block = 0.5 kg * 9.81 m/s^2 = 4.905 N
`F_static = 0.35 * 4.905 = 1.718 N`
Therefore, the static frictional force acting on the upper block is 1.718 N.
Now, we need to find the maximum force that can be applied to the lower block before it starts moving. This force is equal to the force of static friction acting on the lower block.
Since the upper block is not moving, the force of static friction acting on the lower block is equal to the force of static friction acting on the upper block.
`F_static(lower block) = F_static(upper block) = 1.718 N`
This means that the maximum horizontal force that can be applied to the lower block is 1.718 N.
However, if the applied force exceeds this value, the lower block will start moving and the force of kinetic friction will be acting on it, which is equal to:
`F_kinetic = friction coefficient * normal force`
`F_kinetic = 0.20 * 4.905 = 0.981 N`
Hence, if the applied force exceeds 1.718 N, the lower block will start moving and the force of kinetic friction will act on it, which is 0.981 N.
Therefore, the maximum horizontal force that can be applied to the lower block is 1.718 N.
Answer:
Explanation:
To determine the maximum horizontal force that can be applied to the lower block without causing the blocks to move, we need to calculate the maximum static friction force between the two blocks. This force is given by:
F_friction = coefficient of static friction * normal force
where the normal force is the force perpendicular to the surface of contact between the blocks. Since the blocks are resting on a level table, the normal force acting on the lower block is equal to the weight of both blocks, which is:
N = (m1 + m2) * g
where m1 is the mass of the lower block, m2 is the mass of the upper block, and g is the acceleration due to gravity (9.81 m/s^2).
Plugging in the given values, we have:
N = (1.0 kg + 0.5 kg) * 9.81 m/s^2 = 14.715 N
The maximum static friction force is then:
F_friction = 0.35 * 14.715 N = 5.15025 N
Therefore, the maximum horizontal force that can be applied to the lower block without causing the blocks to move is 5.15025 N. If a greater force is applied, the blocks will start to move and the kinetic friction force will take effect, which is given by:
F_kinetic = coefficient of kinetic friction * normal force
where the coefficient of kinetic friction is 0.20 in this case.
Use Newton’s first law to explain why a book on a desk does not move
Answer:
nothing moves if anything other doesn't move it.
natural position of things is the resting
Explanation:
yeah that's it
Answer:
The book does not move because all the forces acting on the book are in equilibrium, creating a net force of zero magnitude on the book. Since the net force on the book is zero, this means that the book will remain in its present state of motion (which is that the book is motionless).
Explanation:
Newton's first law states that all body will remain in their present state of motion unless acted upon by an external force. In order word, a moving body should continue moving forever, and a body at rest should remain like that forever, unless they are acted upon by a force to either cause them to stop stop or to start moving respectively.
Explain the process of refraction of light
The process of refraction of light occurs when light rays bends when travelling between media of different densities.
What is refraction of light?
Refraction of light is the bending of light rays or the change in the direction of light rays as it travels between media of different densities.
Light waves travel faster in media of less density than media of more density.
The change in density of the media makes light waves to be bend towards or away from the normal.
For example, when light travels from less dense air to more dense water, the light rays are bent towards the normal. However, when light rays travel from water to air, the light rays are refracted away from the normal.
In conclusion, refraction of light waves occur when light crosses the boundary of media of different densities.
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what is the relationship between Force, area and mass
Answer:
F=ma
Explanation:
Force is equal to mass multiplied by area
Force= mass × area
In turn the formula can be twisted so
Force/mass= area
Force/area= mass
Answer:
It states that the rate of change of velocity of an object is directly proportional to the force applied and takes place in the direction of the force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.
The gravitational force Asteroid A experiences is the gravitational force Asteroid C experiences
Answer:
The gravitational force Asteroid A experiences is greater than the gravitational force Asteroid C experiences
Which of the following is the tendency of a system to become more
disordered?
A. Energy
B. Heat
C. Entropy
D. Efficiency
Answer:
b
Explanation:
the more heat the hotel it get which cause more heat
Answer: C. Entropy
Explanation: a pex :)
A bullet is fired at an angle of 80° with the
horizontal with an initial velocity of 420 m/s.
How high can it travel after 2 seconds? How
far horizontally did it travel after that same 2
seconds?
The bullet fired at an angle of 80° with the horizontal and an initial velocity of 420 m/s can travel up to a height of 825.4 meters and a horizontal distance of 80.1 meters after 2 seconds.
To determine the height and horizontal distance traveled by a bullet fired at an angle of 80° with the horizontal and an initial velocity of 420 m/s after 2 seconds, we can use the equations of motion.
Firstly, we can break down the initial velocity of the bullet into its horizontal and vertical components. The horizontal component remains constant throughout the motion and is given by:
Vx = Vcosθ
where V is the initial velocity and θ is the angle of projection. Substituting the given values, we get:
Vx = 420cos80° = 40.05 m/s (approx.)
The vertical component of the initial velocity can be calculated as:
Vy = Vsinθ
Substituting the given values, we get:
Vy = 420sin80° = 416.95 m/s (approx.)
Now, we can use the following equations of motion to determine the height and horizontal distance traveled by the bullet after 2 seconds:
Vertical motion:
y = yo + Voyt + (1/2)gt^2
where y is the vertical displacement, yo is the initial height (assumed to be zero), Voy is the initial vertical velocity, g is the acceleration due to gravity (9.8 m/s^2), and t is the time.
Substituting the given values, we get:
y = 0 + 416.95(2) - (1/2)(9.8)(2)^2
y = 825.4 m (approx.) Therefore, the bullet can travel up to a height of 825.4 meters after 2 seconds. Horizontal motion:
x = xo + Voxt
where x is the horizontal displacement, xo is the initial horizontal position (assumed to be zero), Vox is the initial horizontal velocity, and t is the time.
Substituting the given values, we get:
x = 0 + 40.05(2)
x = 80.1 m (approx.)
Therefore, the bullet can travel a horizontal distance of 80.1 meters after 2 seconds.
In summary, the bullet fired at an angle of 80° with the horizontal and an initial velocity of 420 m/s can travel up to a height of 825.4 meters and a horizontal distance of 80.1 meters after 2 seconds.
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A small sphere of mass 10 kg
is released from rest at a height of
15.0 m above the ground level.
The sphere experiences a constant
resistive force (due to air
resistance) of magnitude R = 10.0
N.
a) Calculate the speed of the
sphere after it has fallen
through a distance of 5.00 m
bCalculate the speed of the ball just before a it hits the gound.
Answer:
Approximately \(9.39 \; {\rm m\cdot s^{-1}}\) after the sphere has travelled a distance of \(5\; {\rm m}\).
Approximately \(16.3\; {\rm m\cdot s^{-1}}\) right before touching the ground (a distance of \(15\; {\rm m}\).)
Assumption: \(g = 9.81\; {\rm N\cdot kg^{-1}}\).
Explanation:
Weight of the sphere: \(m\, g = 9.81\; {\rm N \cdot kg^{-1}} \times 10\; {\rm kg} = 98.1\; {\rm N}\), downwards.
Drag on the sphere: \(10.0\; {\rm N}\) upwards.
Net force on the sphere: \(98.1\; {\rm N} - 10\; {\rm N} = 88.1\; {\rm N}\) downwards.
Acceleration of the sphere: \(a = F_\text{net} / m = 88.1\; {\rm N} / (10\; {\rm kg}) = 8.81\; {\rm m\cdot s^{-2}}\).
Apply the SUVAT equation \(v^{2} - u^{2} = 2\, a\, x\), where \(v\) is the final velocity, \(u\) is the initial velocity (\(0\) in this case, as the sphere was released from rest,) and \(x\) is the distance (displacement) that the sphere has travelled so far.
Rearrange this equation to obtain an expression for \(v\):
\(\displaystyle v = \sqrt{2\, a\, x + u^{2}}\).
For example, after the ball travelled a distance of \(5.00\; {\rm m}\), \(x = 5.00 \; {\rm m}\):
\(\begin{aligned} v &= \sqrt{2\, a\, x + u^{2}} \\ &= \sqrt{2 \times 8.81\; {\rm m\cdot s^{-2}} \times 5.0\; {\rm m} + 0} \\ &\approx 9.39\; {\rm m\cdot s^{-1}}\end{aligned}\).
Similarly, \(x = 15.0\; {\rm m}\) right before landing, such that:
\(\begin{aligned} v &= \sqrt{2\, a\, x + u^{2}} \\ &= \sqrt{2 \times 8.81\; {\rm m\cdot s^{-2}} \times 15.0\; {\rm m} + 0} \\ &\approx 16.3\; {\rm m\cdot s^{-1}}\end{aligned}\).
If a person pulls on a cart to the right with a force of 10 N, and a second person pulls to the left with a force of 3 N, what is the net force on the cart? (Please show work with units and the direction the answer goes in)
The net force on the cart is 7 N to the right. The unit of force is Newtons (N).
What factors influence a cart?Unlike the frictional force , which operates in the opposite direction to the cart's velocity, gravitational force on the cart always points in the same direction, regardless of the cart's motion.
What kind of force pushes or pulls?A pull is a force that causes an object to move closer to you. On the other side, it is a push if it travels away. An object may experience a push or pull as a result of interacting with another object, which is a common definition of force. Hence, any force is essentially a push or a pull.
Net force = 10 N to the right - 3 N to the left
Simplifying, we get:
Net force = 10 N - 3 N
Net force = 7 N to the right
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An example of conservation of angular momentum is jumping on a Merry-Go-Round. Watch this video (it starts part way through but the only thing you miss is the people pushing the Merry-Go-Round) to see someone jumping on a Merry-Gr-Round in motion like this problem. You can model the Merry-Go-Round as a solid disk with a radius of 2.70 m and a mass of 77.0 kg. Initially the Merry-Go-Round has an angular velocity 7.40 radians / second. Then the person jumps on and change the Moment of Inertia of the system. The person lands on the outer edge of the Merry-Go-Round and has a mass of 58.0 kg. What is the final angular velocity of the system after the person jumps on
Answer:
ωf = 2.95 rad/sec
Explanation:
Assuming no external torques acting while the person jumps on, total angular momentum must be conserved.Angular momentum for a rotating rigid body can be expressed as follows:\(L = I * \omega (1)\)
where I = moment of inertia regarding the rotating axis, and ω= angular velocity.Since total angular momentum must be conserved, this means that the following equality must be satisfied:\(L_{o} = L_{f} (2)\)
The initial angular momentum, taking into account that the Merry-Go-Round can be modeled as solid disk, can be expressed as follows:\(L_{o} = I_{o} * \omega_{o} = \frac{1}{2}* M* R^{2}* \omega_{o} =\\ \frac{1}{2} * 77.0 kg* (2.70m)^{2}* 7.40 rad/sec = 2076.92 kg*m2*rad/sec (3)\)
The final angular momentum, is just the product of the new moment of inertia times the final angular velocity.The new moment of inertia, is just the sum of the original moment of inertia I₀ and the moment of inertia due to the person that jumps on.Assuming that we can treat him as a point mass, his moment of inertia is just the product of his mass times to the distance to the axis of rotation (the radius of the Merry-Go-Round) squared.So, we can write the new moment of inertia If as follows:\(I_{f} = I_{o} +( m_{p} * R^{2}) = (\frac{1}{2} * M* R^{2}) + ( m_{p} * R^{2}) =\\ (\frac{1}{2} * 77.0 kg* (2.70m)^{2}) +( 58.0 kg * (2.70m)^{2}) = \\ 280.67 kg*m2 + 422.82 kg*m2 = \\ 703.49 kg*m2 (4)\)
The final angular momentum can be written as follows:\(L_{f} = I_{f} * \omega_{f} (5)\)
Since (3) and (5) must be equal each other, replacing If by its value from (4) in (5), we can solve for ωf, as follows:\(\omega_{f} = \frac{L_{o} }{I_{f}} = \frac{2076.92kg*m2*rad/sec}{703.49kg*m2} = 2.95 rad/sec (6)\)
2. a) A disc rotates about its axis at speed 25 revolutions per minute and takes 15 s to stop. Calculate the
i) angular acceleration of the disc.
ii) number of rotation of the dise makes before it stops.
The statement shows a case of rotational motion, in which the disc decelerates at constant rate.
i) The angular acceleration of the disc (\(\alpha\)), in revolutions per square second, is found by the following kinematic formula:
\(\alpha = \frac{\omega_{f}-\omega_{o}}{t}\) (1)
Where:
\(\omega_{o}\) - Initial angular speed, in revolutions per second.\(\omega_{f}\) - Final angular speed, in revolutions per second. \(t\) - Time, in seconds.If we know that \(\omega_{o} = \frac{5}{12}\,\frac{rev}{s}\), \(\omega_{f} = 0\,\frac{rev}{s}\) y \(t = 15\,s\), then the angular acceleration of the disc is:
\(\alpha = \frac{0\,\frac{rev}{s}-\frac{5}{12}\,\frac{rev}{s}}{15\,s}\)
\(\alpha = -\frac{1}{36}\,\frac{rev}{s^{2}}\)
The angular acceleration of the disc is \(\frac{1}{36}\) radians per square second.
ii) The number of rotations that the disk makes before it stops (\(\Delta \theta\)), in revolutions, is determined by the following formula:
\(\Delta \theta = \frac{\omega_{f}^{2}-\omega_{o}^{2}}{2\cdot \alpha}\) (2)
If we know that \(\omega_{o} = \frac{5}{12}\,\frac{rev}{s}\), \(\omega_{f} = 0\,\frac{rev}{s}\) y \(\alpha = -\frac{1}{36}\,\frac{rev}{s^{2}}\), then the number of rotations done by the disc is:
\(\Delta \theta = 3.125\,rev\)
The disc makes 3.125 revolutions before it stops.
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A child weighs 326 N. What is the child's mass?
Please help!!
The mass of the child is 33.26 kg.
What is mass?Mass can be defined the quantity of matter a body contained.
The S.I unit of mass is kilogram (kg)
To calculate the mass of the child, we use the formula below.
Formula:
W = mg............. Equation 1Where:
W = Weight of the childm = mass of the childg = acceleration due to gravityMake m the subject of the equation
m = W/g.............. Equation 2From the question,
Given:
W = 326 Ng = 9.8 m/s²Substitute these values into equation 2
m = 326/9.8m = 33.26 kgHence, the mass of the child is 33.26 kg.
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Make a generalization about Earth's magnetic field and its properties. In not more than 10 sentences.
Answer:
Earth's magnetic field (and the surface magnetic field) is approximately a magnetic dipole, with the magnetic field S pole near the Earth's geographic north pole (see Magnetic North Pole) and the other magnetic field N pole near the Earth's geographic south pole (see Magnetic South Pole). This makes the compass usable for navigation. The cause of the field can be explained by dynamo theory. A magnetic field extends infinitely, though it weakens with distance from its source. The Earth's magnetic field, also called the geomagnetic field, which effectively extends several tens of thousands of kilometres into space, forms the Earth's magnetosphere. A paleomagnetic study of Australian red dacite and pillow basalt has estimated the magnetic field to be at least 3.5 billion years old
Describe the differences between a HALL effect sensor and a permanent magnet sensor. Which one is more accurate?
The difference is that Hall effect sensor detects the strength of a magnetic field perpendicular to it, while a permanent magnetic sensor detects the angle of a parallel magnetic field.
The permanent magnetic sensor tends to be more accurate as it has a bigger detectable area that has detects layout error.
What is a magnet?
A magnet is any material that produces a magnetic field. A magnet has north and south poles at opposite ends.
The difference between a hall effect magnet and a permanent magnet sensor is that hall effect detects magnetics fields perpendicular to it while a permanent magnet detects magnetic fields parallel to it.
In conclusion, the permanent magnet is more accurate as it has a wider detectable area.
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A tensile load of 190 kN is applied to a round metal bar with a diameter of 16mm and a gage length Of 50mm. Under this load the bar elastically deforms so that the gage length increases to 50.1349 mm and the diameter decreases to 15.99 mm. Determine the modulus of elasticity and Poisson s ratio for this metal.
The elasticity and Poisson's ratio for this metal is 0.232.
What is ratio?
The realation between two numbers which shows how much bigger one quantity is than another.
Sol-
As per the given question
P=190KN
d=16 mm
Lo=50mm
X=50.1349-50=0.1349mm
Y=15.99-16=-0.01mm
The formula-
E=ó/€
Ó=P/A
A=r/4 d^2 =π/4(16)^2=201.062 mm
ó={190(1000)}201.062=944.982 Mpa
E=944.982/0.002698=350.253 GPa
€y=-0.000625
v=0.232(answer)
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According to Steinberg, which of the following statements is true about creative people
They appreciate art and music.
They always take popular stands.
They accept ideas at fàce value.
They accept their limitations,
a ball of mass 100g moving at a velocity of 100m/s collides with another ball of mass 400g moving at 50m/s in same direction, if they stick together calculate the velocity and loss of energy
Answer:
Velocity of the two balls after collision: \(60\; \rm m \cdot s^{-1}\).
\(100\; \rm J\) of kinetic energy would be lost.
Explanation:
VelocityBecause the question asked about energy, convert all units to standard units to keep the calculation simple:
Mass of the first ball: \(100\; \rm g = 0.1\; \rm kg\).Mass of the second ball: \(400\; \rm g = 0.4 \; \rm kg\).The two balls stick to each other after the collision. In other words, this collision is a perfectly inelastic collision. Kinetic energy will not be conserved. The velocity of the two balls after the collision can only be found using the conservation of momentum.
Assume that the system of the two balls is isolated. Thus, the sum of the momentum of the two balls will stay the same before and after the collision.
The momentum of an object of mass \(m\) and velocity \(v\) is: \(p = m \cdot v\).
Momentum of the two balls before collision:
First ball: \(p = m \cdot v = 0.1\; \rm kg \times 100\; \rm m \cdot s^{-1} = 10\; \rm kg \cdot m \cdot s^{-1}\).Second ball: \(p = m \cdot v = 0.4\; \rm kg \times 50\; \rm m \cdot s^{-1} = 20\; \rm kg \cdot m \cdot s^{-1}\).Sum: \(10\; \rm kg \cdot m \cdot s^{-1} + 20 \; \rm kg \cdot m \cdot s^{-1} = 30 \; \rm kg \cdot m \cdot s^{-1}\) given that the two balls are moving in the same direction.Based on the assumptions, the sum of the momentum of the two balls after collision should also be \(30\; \rm kg \cdot m \cdot s^{-1}\). The mass of the two balls, combined, is \(0.1\; \rm kg + 0.4\; \rm kg = 0.5\; \rm kg\). Let the velocity of the two balls after the collision \(v\; \rm m \cdot s^{-1}\). (There's only one velocity because the collision had sticked the two balls to each other.)
Momentum after the collision from \(p = m \cdot v\): \((0.5\, v)\; \rm kg \cdot m \cdot s^{-1\).Momentum after the collision from the conservation of momentum: \(30\; \rm kg \cdot m \cdot s^{-1}\).These two values are supposed to describe the same quantity: the sum of the momentum of the two balls after the collision. They should be equal to each other. That gives the equation about \(v\):
\(0.5\, v = 30\).
\(v = 60\).
In other words, the velocity of the two balls right after the collision should be \(60\; \rm m \cdot s^{-1}\).
Kinetic EnergyThe kinetic energy of an object of mass \(m\) and velocity \(v\) is \(\displaystyle \frac{1}{2}\, m \cdot v^{2}\).
Kinetic energy before the collision:
First ball: \(\displaystyle \frac{1}{2} \, m \cdot v^2 = \frac{1}{2}\times 0.1\; \rm kg \times \left(100\; \rm m \cdot s^{-1}\right)^{2} = 500\; \rm J\).Second ball: \(\displaystyle \frac{1}{2} \, m \cdot v^2 = \frac{1}{2}\times 0.4\; \rm kg \times \left(50\; \rm m \cdot s^{-1}\right)^{2} = 500\; \rm J\).Sum: \(500\; \rm J + 500\; \rm J = 1000\; \rm J\).The two balls stick to each other after the collision. Therefore, consider them as a single object when calculating the sum of their kinetic energies.
Mass of the two balls, combined: \(0.5\; \rm kg\).Velocity of the two balls right after the collision: \(60\; \rm m\cdot s^{-1}\).Sum of the kinetic energies of the two balls right after the collision:
\(\displaystyle \frac{1}{2} \, m \cdot v^{2} = \frac{1}{2}\times 0.5\; \rm kg \times \left(60\; \rm m \cdot s^{-1}\right)^2 = 900\; \rm J\).
Therefore, \(1000\; \rm J - 900\; \rm J = 100\; \rm J\) of kinetic energy would be lost during this collision.
Pls help!!
Which situation describes a system with increasing gravitational potential energy?
a boy jumping down from a tree limb
a girl stretching a horizontal spring
a bicyclist riding up a steep hill
a train speeding up on a flat track
C) a bicyclist riding up a steep hill
The metaphor for a system with rising gravitational potential energy is "a bicyclist riding up a steep hill." Let's get into greater detail:
A cyclist faces resistance from gravity as they ride up a steep slope. The cyclist's elevation, or height above the ground, rises as they cycle and climb uphill. Gravity is pulling the cyclist down the hill by exerting downward force. The cyclist must apply force to the pedals in order to move forward and overcome the pull of gravity. In order to do this, the bicyclist must transform chemical energy from their body into mechanical energy. The distance of the cyclist from the centre of the Earth grows as they ride up the hill. The height and mass of an object affect its gravitational potential energy. In this scenario, as the bicyclist's height rises, their gravitational potential energy also rises.
Due to the higher elevation, the energy input from the biker is stored as increased potential energy. When the bicycle descends the hill or does work, this potential energy can be transformed back into kinetic energy or other types of energy.
06.** A block takes twice as long to slide down an inclined plane that makes an angle of 35 with the horizontal as it does to fall freely through the same vertical distance h. What is the coefficient of kinetic friction? [μ = 0.16]
The coefficient of kinetic friction between the block and the incline is 0.168.
Coefficient of kinetic frictionThe coefficient of kinetic friction is determined from the principle of conservation of energy as follows;
distance traveled on the incline = L
L = h/sin35
L = 1.743 h
Since it takes twice the time travel down,
velocity to slide = 1.743 h/2t = 0.871 v
v is the velocity to drop from the vertical heightK.E of the block when it slides = ¹/₂mv₁² = ¹/₂m(0.871v)² = 0.871²(K.E to fall) = 0.758K.E to fall straight down
Energy lost to friction1 - 0.758 = 0.24
Conservation of energyμmgcos(35) = 0.24(mgsin(35)
μcos(35) = 0.24(sin(35)
μ = 0.168
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10. In a laboratory experiment, students recorded the
following length data: 12.2 cm, 12.1 cm, 12 cm,
11.9 cm, and 12.20 cm. (a) Determine the average
length and express the answer using the correct
number of significant figures. (b) Based on your
average length calculation in part (a), discuss the
importance of recording measurements to the
appropriate number of significant figures.
a) 12.1 Average.
B) It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
What does the average?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint.The mean, median, and mode are the three primary varieties of average. Each of these methods operates slightly differently and frequently yields values typically a little off. The average that is most frequently used is the mean. You add all the values and divide this sum by the total number of values to obtain the mean value.Averages are mostly used to track changes over time within a sample group or cohort.Since averages can be used to compare different quantities of the same category, we employ them. The calculation of averages has limits since it cannot reveal how something is distributed among individuals. For instance, the distribution of income is not shown by per capita income.A) Determine the average length and express the answer using the correct number of significant figures:
12.2+12.1+12=36.3/3 = 12.1 Average.
B) Based on your average length calculation in part a, discuss the importance of recording measurements to the appropriate number of significant figures:
It is important to record measurements to the correct number of significant figures because otherwise, the integrity of the number is compromised.
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Note: Fig
The figure above shows the forces exerted on a block that is sliding on a rough horizontal surface: The weight of the block is 500 N, the normal force is 500 N, the frictional force is 100 N, and there is an unknown force F exerted to the right. The acceleration of the block is .4m/s^2. The value of F is most nearly
A) 20 N
B) 80 N
C) 110 N
D) 120 N
The force 'F' on the block is equal to 120 N. Therefore, option D is correct.
What is frictional force?The frictional force is described as the force formed by two surfaces that slide against each other. The frictional force is affected by the texture of the surface, the angle, as well as the position of the object.
Friction can be defined as the force that resists motion when one surface comes in contact with the other surface. The mechanical advantage will reduce by the force of friction therefore the ratio of output to input will be reduced because of friction.
The formula of the frictional force can be represented as:
F = μmg
Given, the weight of the block, W = 500 N
W = mg
500 = m × 9.8
m = 51 Kg
The acceleration of the block, a = 0.4 m/s²
The frictional force of the block, F = 100 N
F(net) = F (applied) - F (frictional)
ma = F - 100
51 ×0.4 = F - 100
F = 100 + 20.4
F = 120.4 N
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True or False: The motion of the plates over the surface of the Earth occurs at a noticeable and fairly rapid rate.
How does heat from the sun get to earth?
Raju completes one round of a circular track of diameter 200m in 30s. Calculate
a. The distance travelled by Raju
b. The magnitude of displacement travelled by Raju at the end of 30 s.
Explanation:
Given:
Diameter = 200 m
Radius, r = 200/2 = 100 m
Time taken, t = 30 seconds
Formula to be used:
Distance traveled, = circumference of circle = 2πr
Answer:
Putting all the values, we get
Distance traveled = 2πr
Distance traveled = 2 × 22/7 × 100 Distance traveled = 4400/7 Distance traveled = 628.57 mSo, the distance traveled by Raju is 628.57 m.
Now, magnitude of the displacement,
At the end of 30 seconds, Raju will come to starting position or initial position, so displacement is zero.
A stone of mass m is thrown upwards at an angle φ. The moment the stone leaves your hand it has an acceleration (friction is negligible) equal to
g
g sin (φ)
zero
The acceleration at the moment when the stone is left from the hand would be equal to:
a). g
As 'Acceleration' is defined as the pace by which the speed of movement of an object undergoes a change in association with time. In the given situation, the ball is thrown upwards but when the stone leaves the grip of the hand, its acceleration would be g(gravitational constant). The reason behind this is that the force exerted on it is primarily the weight of the stone(substance) itself.Thus, option a is the correct answer.
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which statement is true of all proteins
a. there main function is to cause mutations
b. their struggle is related to there function
c. they carry oxygen in human blood
d. they are created by mutations in D.N.A
None of the statements are true of all proteins. Here is a correct statement about proteins:
Proteins are large, complex molecules that perform a wide variety of functions in the body, such as catalyzing metabolic reactions, replicating DNA, responding to stimuli, and transporting molecules from one location to another. They are made up of chains of amino acids, which are linked together in a specific sequence determined by the genetic code. Protein structure and function is highly dependent on the specific sequence of amino acids in the protein, and proteins can take on a wide variety of shapes and sizes, ranging from small, globular proteins to large, fibrous proteins.
PLEASE BE FAST IM BEING TIMEDDDDD
If the current of a circuit is 2.8A. Find the number of charge in Coulomb in
3 seconds.
Answer:
I=Q/T
2.8=Q/3
8.4C=Q
Explanation:
Compare and contrast, in detail, at least two types of pluralism. Do you think the United States is becoming more pluralistic? Why or why not? How do ethnic enclaves relate to pluralism in the US?
a. There are two main types of pluralism: cultural and political
b. Yes, the United States is becoming more pluralistic
c. Ethnic enclaves can be both a positive and negative aspect of pluralism in the US.
a. Pluralism refers to the coexistence of multiple cultures, religions, and ethnicities within a society. There are two main types of pluralism: cultural and political. Cultural pluralism emphasizes the preservation of distinct cultural traditions, while political pluralism emphasizes the equal representation of different groups within the political system.
Cultural pluralism is often associated with the idea of multiculturalism, which recognizes and celebrates the diversity of different cultures. This type of pluralism acknowledges the importance of cultural differences and encourages individuals to maintain and express their cultural identities. In contrast, political pluralism emphasizes the importance of equal representation of different groups within the political system. This can take the form of proportional representation in government or equal access to political power for different groups.
b. The United States is becoming more pluralistic, as the population becomes more diverse and the importance of multiculturalism and political pluralism is increasingly recognized. The country is home to many different ethnic and cultural groups, and these groups are increasingly visible in politics and society. This is evident in the increasing number of ethnic and cultural enclaves, which are areas where different ethnic groups live in close proximity to one another.
c. Ethnic enclaves can be both a positive and negative aspect of pluralism in the US. On the one hand, they allow individuals to maintain their cultural traditions and create supportive communities. On the other hand, they can also lead to segregation and exclusion, as different groups may be reluctant to interact with one another. In order to promote a positive form of pluralism, it is important to encourage interaction and understanding between different groups, while also respecting and celebrating their distinct cultural identities.
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The position x of a particle moving along x axis varies with time t as x = Asin(wt) , where A and w are constants . The acceleration of the particle varies with its position as
\( \small \red{ \rm Nonsense = Report} \checkmark\)
Let's see
\(\\ \rm\Rrightarrow x=Asin(\omega t)\dots(1)\)
Now we know the formula of acceleration
\(\\ \rm\Rrightarrow \alpha=-A\omega^2sin(\omega t)\)
\(\\ \rm\Rrightarrow \alpha=-Asin(\omega t)\times \omega^2\)
From eq(1)\(\\ \rm\Rrightarrow \alpha=-x\omega^2\)
Or
\(\\ \rm\Rrightarrow \alpha=-\omega^2x\)
Given that the position x of a particle along X-axis varies with time t by the equation:
\({:\implies \quad \sf x=A\sin (\omega t)}\)
As it defines the position, so x is just displacement here, and we need to find the acceleration first for telling with what if varies, so by definition, the second differential coefficient of displacement is acceleration, so differentiating both sides w.r.t.x of the above equation in accordance with chain rule we have:
\({:\implies \quad \sf \dfrac{dx}{dt}=A\cos (\omega t)\cdot \omega \cdot \dfrac{dt}{dt}}\)
\({:\implies \quad \sf \dfrac{dx}{dt}=A\omega \cos (\omega t)}\)
Differentiating both sides w.r.t.x by chain rule again to get the 2nd order derivative
\({:\implies \quad \sf \dfrac{d^{2}x}{dt^{2}}=-A\omega \sin (\omega t)\cdot \omega \dfrac{dt}{dt}}\)
\({:\implies \quad \sf \dfrac{d^{2}x}{dt^{2}}=-A\omega^{2}\sin (\omega t)}\)
Re-write as :
\({:\implies \quad \sf \dfrac{d^{2}x}{dt^{2}}=-\omega^{2}\{A\sin (\omega t)\}}\)
Can be further written as
\({:\implies \quad \sf \dfrac{d^{2}x}{dt^{2}}=-x\omega^{2}}\)
This is the Required answer
If they ask you the differential equation for the acceleration of a wave (as the given equation was general equation of a wave), you can simply write:
\({:\implies \quad \sf \dfrac{d^{2}x}{dt^{2}}+x\omega^{2}=0}\)