Answer:
(a) μ ≈ 0.57
(b) not enough information
Explanation:
Draw a free body diagram.
There are four forces acting on block B:
Weight force Mb g pulling downNormal force N pushing upFriction force Nμ pulling leftTension force T₁ pulling rightThere are three forces acting on the node:
Tension force T₁ pulling leftTension force T₂ pulling 35° above the horizontalWeight force Ma g pulling down(a)
Sum of forces on block B in the y direction:
∑F = ma
N − Mb g = 0
N = Mb g
Sum of forces on block B in the x direction:
∑F = ma
T₁ − Nμ = 0
T₁ = Nμ
T₁ = Mb g μ
Sum of forces on the node in the y direction:
∑F = ma
T₂ sin 35° − Ma g = 0
T₂ sin 35° = Ma g
Sum of forces on the node in the x direction:
∑F = ma
T₂ cos 35° − T₁ = 0
T₂ cos 35° = T₁
T₂ cos 35° = Mb g μ
Divide the previous equation by this equation, eliminating T₂.
tan 35° = Ma g / (Mb g μ)
μ = Ma / (Mb tan 35°)
μ = 0.4 / tan 35°
μ ≈ 0.57
(b) T₂ sin 35° = Ma g = 0.4 Mb g
Without knowing the value of Mb, we cannot find the value of the tension force T₂.
can someone answer these physical science questions please
1. The kinetic energy would be the same for the both balls.
2) As the ball gains potential energy, its speed will decrease.
What is kinetic energy?Kinetic energy is the energy possessed by an object due to its motion. The amount of kinetic energy an object has is dependent on its mass and velocity. An object with a greater mass and a higher velocity will have a higher kinetic energy than an object with a smaller mass and lower velocity.
The increase in the potential energy as the ball reaches the maximum height would imply that the ball would become stationary for some time and the speed will decrease.
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radio waves bounce off objects and can be tracked. The photo shows one way this technology is used today
Doppler radars work by using radio waves that bounce off objects and thus the object can be tracked.
Doppler radars work by emitting a beam of energy from an antenna known as radio waves. The energy they release when they collide with airborne objects scatters in all directions, with some of it returning directly to the radar.
The quantity of energy returned to the radar increases with object size. We can now perceive raindrops in the atmosphere because of this.
The amount of time it takes for the energy beam to be delivered and returned to the radar also gives us the object's distance.
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A. 101/ B. 20Hz If 25) is taken away by heat from a sys in internal energy of the system? A. SA B..SJ SJ The amount of damping force that allow shortest possible time is called
The amount of damping force that allow shortest possible time is called critical damping of the system.
What is critical damping?Critical damping is the threshold between overdamping and underdamping at which the oscillator returns to the position of equilibrium quickly as possible.
Critical damping is frequently desired because such a system returns to and maintains equilibrium quickly. Furthermore, a constant force applied to a critically damped system moves the system to a new equilibrium position as quickly as possible without overshooting or oscillating around the new position.
Critical damping thus provides the rapid approach to zero amplitude for a damped oscillator.
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The 10/90 principle can help you take control of your situation in taking responsibility of what you can change rather than in being victim of what you cannot change. Give an example of a situation that can change for you in applying this principle.
The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.
The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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The semi major axis of an orbiting body is 3.01 AU. What is the period of this object's orbit?
a 6.01 years
b 5.01 years
c 4.97 years
d 5.22 years
Answer: 4.97 years
Explanation: I got the answers right
By the use of the Kepler's laws, the period of the orbit is 5.22 years. Option D
What is the period?We know that when we are dealing with the orbits that our mind would have to be turned to the Kepler's law. In the Keplers law, we see the relationship that cold be used in the attempt to connect the period of the orbit to the radius of the semi major axis of an orbiting body.
By the application of the Keplers third law;
T^2 = r^3
The statement of the law is that the square of the period of the objects orbit is equal to the cube of the length of the semi major axis.
We then know that;
T = period
r = distance
Hence;
T = r^3/2
T = (3.01 )^3/2
T = 5.22 years
The period of the object is seen to be 5.22 years from the calculation above.
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What is ay or g for any projectile?
Answer: Negative
Explanation: The acceleration along the y-axis for any projectile motion will always be -9.8m/s^2.
A solenoid with ends marked a and b is suspended by a thread so that the core rotate in the horizontal plane, a current is maintained in the coil so that the electrons move clockwise when viewed from end a toward end b. how will the coil align itself in earth’s magnetic field?
The coil will align itself vertically, with one end (end b) pointing towards the Earth's surface and the other end (end a) pointing upwards, due to the interaction between the counterclockwise current flow and Earth's downward-pointing magnetic field lines in the northern hemisphere.
When a solenoid with a current-carrying coil is suspended by a thread in the horizontal plane, and the electrons move clockwise when viewed from end a toward end b, the coil will align itself in Earth's magnetic field based on the interaction between the current and the magnetic field.
Earth has a magnetic field that extends from its magnetic north pole to its magnetic south pole. The magnetic field lines form loops around the Earth. In the northern hemisphere, the magnetic field lines point downward into the Earth, while in the southern hemisphere, they point upward.
Based on the right-hand rule, which states that if you point your thumb in the direction of the current, the fingers will curl in the direction of the magnetic field, we can determine how the coil will align itself.
Given that the electrons in the coil move clockwise from end a to end b, the current flows in the opposite direction, counterclockwise, from end b to end a.
Using the right-hand rule, if we align our right hand with our thumb pointing in the counterclockwise direction (opposite to the current flow), the magnetic field lines from Earth would be represented by the direction in which our fingers curl.
Since the magnetic field lines in the northern hemisphere point downward into the Earth, the coil will align itself such that the bottom of the coil (end b) will be attracted towards the Earth's surface, while the top of the coil (end a) will point upwards.
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A boy slides a book across the floor, using a force of 5 N over a distance of 2
m. What is the kinetic energy of the book after he slides it? Assume there is
no friction.
A. 5 J
B. 10 J
C. 20 J
D. 2.5 J
SUBMIT
The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.
How to determine the kinetic energy of an object?The work-energy theorem states that "the work done on an object is the change in its kinetic energy".
Hence;
Kinetic energy = work done
Note that: work-done is expressed as:
Work done = f × d
Where f is force applied and d is distance traveled.
Given that:
Force applied f = 5 newton
Distance d = 2 meters
Work done = ?
Plug these values into the above formula and solve for the workdone.
Work done = f × d
Work done = 5N × 2m
Work done = 10Nm
Work done = 10 Joules
Therefore, the kinetic energy is 10 Joules.
Option B) 10 J is the correct answer.
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A 250 kg cart is traveling at 8 m/s when it strikes a 100 kg cart at rest. After the elastic collision, the 250 kg cart continues to travel forward but at a lower velocity of 3 m/s. Determine the velocity of the 100 kg cart after the elastic collision.
Answer: In this scenario, we have two carts colliding with each other. One cart weighs 250 kg and is moving at a speed of 8 m/s, while the other cart weighs 100 kg and is initially at rest.
After the collision, the 250 kg cart continues moving forward, but at a slower speed of 3 m/s. We want to find out the speed at which the 100 kg cart moves after the collision.
To solve this, we use the principle that the total "push" or momentum before the collision should be the same as the total momentum after the collision.
Since the 100 kg cart is initially at rest, its momentum is zero. The momentum of the 250 kg cart before the collision is 250 kg * 8 m/s = 2000 kg·m/s.
After the collision, the momentum of the 250 kg cart becomes 250 kg * 3 m/s = 750 kg·m/s.
To find the momentum of the 100 kg cart after the collision, we subtract the momentum of the 250 kg cart after the collision from the total momentum before the collision: 2000 kg·m/s - 750 kg·m/s = 1250 kg·m/s.
Now, we divide this momentum by the mass of the 100 kg cart to find its velocity: 1250 kg·m/s / 100 kg = 12.5 m/s.
Therefore, the 100 kg cart moves at a velocity of 12.5 m/s after the collision, in the opposite direction of the 250 kg cart's motion.
what is the net force in this image?
Answer:
-15 as it inverse to gravity
the direction of big force
Select ALL the
correct answers.
Which two examples describe ways that corporations can give large donations to presidential candidates?
A corporation leader makes
direct payment to the candidate.
A corporation creates another company to accept candidate contributions
A corporation collects moneys from its employees to contribute to
A corporation contributes to a Super PAC that
a PAC
accepts contributions
for a candidate,
Reset
Next
Answer: Hope this helps ;) don't forget to rate this answer !
Explanation:
There are two correct answers:
A) A corporation leader makes direct payment to the candidate.
D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.
Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.
Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.
I hope this helps! Let me know if you have any other questions.
what is the portion of an electric circuit that is being powered
Answer:
Component
Explanation:
All circuits have some basic parts, called components. One component is the power source, also called a voltage source. The power source is what pushes the electricity through the circuit.
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
A. The average speed you can use to pull the safe is 1.02 m/s
B. The time needed to pull the safe up is 17.65 s
A. How do i determine the velocity?First, we shall obtain the force. This is shown below:
Mass of safe (m) = 60 KgAcceleration due to gravity (g) = 9.8 m/s² Force (F) =?F = mg
F = 60 × 9.8
F = 588 N
Finally, we shall obtain the average speed. Details below:
Power = 600 WForce = 588 NAverage speed =?Power = force × average speed
600 = 588 × average speed
Divide both sides by 588
Average speed = 600 / 588
Average speed = 1.02 m/s
B. How do i determine the time?The time needed to pull the safe up can be obtained as follow:
Average speed = 1.02 m/sTotal distance = 18 mTime = ?Time = Total distance / average speed
Time = 18 / 1.02
Time = 17.65 s
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Complete question:
You know you can provide 600 W
of power to move large objects. You need to move a 60-kg
safe up to a storage loft, 18 m
above the floor.
Part A
With what average speed can you pull the safe straight up?
Part B
What is the time needed to pull the safe up?
What is the direction of magnetic field lines inside any magnet?
A.
They travel from north to south.
B.
They travel from south to north.
C.
They travel in a loop.
D.
They travel back and forth within the magnet.
E.
They do not travel through the magnet.
Answer:
c
Explanation:
An increase in the magnitude of which others quantities causes a reduction in centripetal force?
A. Mass
B.Radius of curvature
C. Velocity
Answer:
F = M v^2 / R = M w^2 R where w represents the angular frequency
Only 1 / R causes a reduction in centripetal force when increased
(B) is the answer
Option B. The radius of curvature causes a reduction in centripetal force with an increase in the magnitude.
Centripetal force is a force that acts on the object that moves in a circular motion and is directed towards the center of the circular moving path. The mathematical representation of centripetal force is -
\(F_{c} = \frac{mv^{2} }{r}\),Where Fc = the centripetal force,
m = mass of the object,
v = velocity
and r = radius.
From the given explanation above, The centripetal force and radius of curvature are inversely proportional to each other,
that is, Fc = 1/r.
Therefore, an increase in the radius of curvature leads to a reduction in the centripetal force.
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Explain how the graphic organizer helped you formulate your decision and participate in the discussion.
Answer:
The graphic organizers help to keep track of the details. They are a visual representation of knowledge that rescue the important aspects of a concept using labels within a scheme. They also present information in a concise manner, highlighting the organization and the relationship of the concepts. Graphic organizers help students organize their thinking process and their writing.
Explanation:
Explain why you can hear from behind a wall but you cannot see around it although both light and sound have a wave nature?
The physical characteristics of sound and light waves explain why you can hear from behind a wall but not around it.
Sound and light wavesMechanical waves called sound waves move through a medium like air or solid things. Some of the energy of a sound wave that hits a wall or other obstruction is absorbed by the barrier, but some of the energy also travels through the wall as vibrations. Some sound waves may be able to pass through a thin or sparse barrier and reach your ears on the other side.
On the other hand, light waves are electromagnetic waves that may travel through any material. Some of the energy of light waves is absorbed by a barrier like a wall, but the majority of the energy is reflected back or scattered in multiple directions. The majority of the light waves will be blocked by a thick or opaque wall, preventing you from seeing through it.
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Is frictional force the only example of non-conservative force?
Answer: NO, there are many examples of non-conservative forces.
Explanation: Conservatives forces are special forces whose work is zero in a closed path.
Magnetic and Electric fields are Non- Conservative.An air-filled parallel-plate capacitor has plates of area 2.90 cm2 separated by 2.50 mm. The capacitor is connected to a(n) 18.0 V battery.
Complete question:
An air-filled parallel-plate capacitor has plates of area 2.90 cm2 separated by 2.50 mm. The capacitor is connected to a(n) 18.0 V battery. Find the value of its capacitance.
Answer:
The value of its capacitance is 1.027 x 10⁻¹² F
Explanation:
Given;
area of the plate, A = 2.9 cm² = 2.9 x 10⁻⁴ m²
separation distance of the plates, d = 2.5 mm = 2.5 x 10⁻³ m
voltage of the battery, V = 18 V
The value of its capacitance is calculated as;
\(C = \frac{k\epsilon_0A}{d} \\\\C = \frac{(1)(8.85\times 10^{-12})(2.9 \times 10^{-4})}{2.5 \times 10^{-3}} \\\\C = 1.027 \times 10^{-12} \ F\)
Therefore, the value of its capacitance is 1.027 x 10⁻¹² F
If a quarterback gets hit by a defensive lineman with a mass of 100 kg and accelerating at a rate of 1m/s2 at what force is the quarterback getting hit?
The quarterback is getting hit with a force of 100 Newtons.
How to calculate the force with which the quarterback is getting hit
We can use Newton's second law of motion:
Force = Mass * Acceleration
Given that the mass of the defensive lineman is 100 kg and the acceleration is 1 m/s², we can substitute these values into the equation:
Force = 100 kg * 1 m/s²
Force = 100 N
Therefore, the quarterback is getting hit with a force of 100 Newtons.
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QUCIK!! SOMEONE PLEASE HELP! I’LL MARK BRAINLIEST!!
Answer:
A. v = √2gh
B. No! The final velocity does not depend on the mass of the car.
C. Yes! the final velocity depends on the steepness of the hill
D. 3.28 m/s
Explanation:
A. Determination of the final velocity.
½mv² = mgh
Cancel out m
½v² = gh
Cross multiply
v² = 2gh
Take the square root of both side
v = √2gh
B. Considering the formula obtained for the final velocity i.e
v = √2gh
We can see that there is no mass (m) in the formula.
Thus, the final velocity does not depend on the mass of the car.
C. Considering the formula obtained for the final velocity i.e
v = √2gh
We can see that there is height (h) in the formula.
Thus, the final velocity depends on the steepness of the hill
D. Determination of the final velocity.
Height (h) = 0.55 m
Acceleration due to gravity (g) = 9.8 m/s²
Velocity (v) =?
v = √2gh
v = √(2 × 9.8 × 0.55)
v = √10.78
v = 3.28 m/s
A string of mass 60.0 g and length 2.0 m is fixed at both ends and with 500 N in tension. a. If a wave is sent along this string, what will be the wave's speed? A second wave is sent in the string, what is the new speed of each of the two waves?
Answer:
a
The speed of wave is \(v_1 = 129.1 \ m/s\)
b
The new speed of the two waves is \(v = 129.1 \ m/s\)
Explanation:
From the question we are told that
The mass of the string is \(m = 60 \ g = 60 *10^{-3} \ kg\)
The length is \(l = 2.0 \ m\)
The tension is \(T = 500 \ N\)
Now the velocity of the first wave is mathematically represented as
\(v_1 = \sqrt{ \frac{T}{\mu} }\)
Where \(\mu\) is the linear density which is mathematically represented as
\(\mu = \frac{m}{l}\)
substituting values
\(\mu = \frac{ 60 *10^{-3}}{2.0 }\)
\(\mu = 0.03\ kg/m\)
So
\(v_1 = \sqrt{ \frac{500}{0.03} }\)
\(v_1 = 129.1 \ m/s\)
Now given that the Tension, mass and length are constant the velocity of the second wave will same as that of first wave (reference PHYS 1100 )
A dolphin swims 56 meters in 8 seconds and a walrus swims 30 meters in 6 seconds. Which is one has the faster speed, the dophin or the
walrus?
Speed distance/time
I’m taking a test someone help pls.!
Answer:
dolphin= 7 meters/1 second walrus= 5 meters/1 second
Explanation:
56 divided by 8 is 7
30 diviided by 6 is 5
21.Which of the following contain the molecules with the highest average speed?
C
L 나
G G
ico
cube
at -10°C
water
at roon
temperature
wood
at room
temperature
steam
at 110°C
A magnifying glass produces a maximum angular magnification of 5.4 when used by a young person with a near point of 20 cm. What is the maximum angular magnification obtained by an older person with a near point of 65 cm
The mass of an empty cylindrical tin is
proportional to its surface area.
Two empty cylindrical tins, G and H, are
shown below.
The mass of tin G is 72 g, and the surface
area of tin H is 792π cm².
2
a) Work out the total surface area of tin G in
terms of π.
b) Work out the mass of tin H.
Tin G
12 cm
5 cm
Tin H
Not drawn accurately
a) The total surface area of tin G in terms of π is 170π cm².
b) The mass of tin H is 336 g.
To solve the given problem, we need to determine the total surface area of tin G in terms of π and the mass of tin H. Since the mass of an empty cylindrical tin is proportional to its surface area, we can use the given information to find the solutions.
a) Total surface area of tin G in terms of π:
The surface area of a cylinder consists of two circular bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by:
Lateral surface area = 2πrh
where r is the radius of the base and h is the height of the cylinder.
In the case of tin G, the given dimensions are a radius of 5 cm and a height of 12 cm. Substituting these values into the formula, we can calculate the lateral surface area:
Lateral surface area = 2π(5 cm)(12 cm)
Lateral surface area = 120π cm²
Since the total surface area of the cylinder includes the two circular bases as well, we need to add their areas. The area of a circle is given by:
Area of a circle = πr²
The radius of the circular base of tin G is 5 cm, so the area of each circular base is:
Area of each circular base = π(5 cm)²
Area of each circular base = 25π cm²
To find the total surface area of tin G, we sum the lateral surface area and the areas of the two circular bases:
Total surface area of tin G = Lateral surface area + 2 × Area of each circular base
Total surface area of tin G = 120π cm² + 2 × 25π cm²
Total surface area of tin G = 120π cm² + 50π cm²
Total surface area of tin G = 170π cm²
Therefore, the total surface area of tin G in terms of π is 170π cm².
b) Mass of tin H:
We are given that the surface area of tin H is 792π cm². We can assume that the same proportionality factor applies as in tin G, so we can set up the following proportion:
(surface area of tin G) / (mass of tin G) = (surface area of tin H) / (mass of tin H)
Using the given values, we have:
(170π cm²) / (72 g) = (792π cm²) / (mass of tin H)
Cross-multiplying and solving for the mass of tin H, we get:
(170π cm²) × (mass of tin H) = (72 g) × (792π cm²)
mass of tin H = (72 g) × (792π cm²) / (170π cm²)
mass of tin H = 336 g
Therefore, the mass of tin H is 336 g.
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50 POINTS ANSWER THIS QUESTION USING GRASP METHOD
GRASP- Given, Required, Analysis, Solution, Paraphrase
(a) The centripetal force required to keep the car traveling on the curved road is 4914.15 N.
(b) The coefficient of friction between the car's wheels and the ground must be approximately 0.334
What is the centripetal force?The centripetal force required to keep a car traveling in a curved path is given by the formula:
Fc = (mv^2) / r
where;
Fc is the centripetal force, m is the mass of the car, v is the velocity of the car, and r is the radius of the curve.Given:
m = 1500 kg (mass of the car)v = 65 km/h = 65 * (1000/3600) = 18.1 m/s)r = 100 m (radius of the curve)Plugging these values into the formula, we get:
Fc = (1500 kg) (18.1)² / 100 m
Fc = 4914.15 N
The friction force between the car's wheels and the ground provides the centripetal force. The friction force can be calculated using the formula:
f = μN
where;
f is the friction force, μ is the coefficient of friction, and N is the normal force.Since the car is not accelerating vertically, the normal force N is equal to the weight of the car, which is given by:
N = mg
where;
g is the acceleration due to gravity, which is approximately 9.8 m/s^2.Plugging in the values for m and g, we get:
N = (1500 kg) * 9.8 m/s^2
N = 14700 N
Now we can use the value of the centripetal force calculated earlier to find the coefficient of friction:
4904.38 N = μ * 14700 N
μ = 4914.15 N / 14700 N
μ ≈ 0.334
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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)
you can help with a
The resultant of the displacement is 336.5m
What is resolution of vectors?The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.
For the first displacement;
The vertical component = - 150 sin45 = -106.1 m
The horizontal component = - 150 cos 45° = -106.1 m
For the second displacement;
The vertical displacement = - 85sin90 = -85
The horizontal component = 0
For the third displacement;
The vertical displacement = 550 sin55 = 450.5
The horizontal displacement = 550 cos 55 = 315.5
Sum of vertical component = 450.5-85-106.1 = 263.4
sum of horizontal component = 315.5 -106.1 = 209.4
Using Pythagorean theorem
R = √ 263.4² + 209.4²
R = √113227.92
R = 336.5m
The resultant angle = tan^-1( 263.4/209.4)
= tan^-1(1.26)
= 51.56°
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in 1977 steve weldon ate 91 m of spaghetti in 29 s. at the same speed, how long would it take Mr. weldon to eat 5 m of spaghetti?
The time that would be taken is 1.6 s.
What is the speed?We know that the speed would be the ratio of the distance to the time that have been taken and that is how we would be able to solve the problem that we have in the case that is ahead of us in this question
We have that the speed is; Distance/Time
= 91 m/29s
= 3.1 m/s
At the same speed;
Time = Distance/Speed
= 5 m / 3.1 m/s
= 1.6 s
Hence we k now that the spaghetti would be able to take a time that is about 1.6 s
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A 5.0 kg block with a speed of 3.0 m/s collides with a 10
kg block that has a speed of 2.0 m/s in the same direction.After the
collision, the 10 kg block travels in the original direction with a
speed of 2.5 m/s. (a) What is the velocity of the 5.0 kg block immediately after the collision? (b) By how much does the total kinetic
energy of the system of two blocks change because of the collision? (c) Suppose, instead, that the 10 kg block ends up with a
speed of 4.0 m/s. What then is the change in the total kinetic energy? (d) Account for the result you obtained in
(a) The first block moves at 4.0 m/s in the same direction right after colliding.
(b) the system's total kinetic energy changes by 28.75 J
(c) the system's total kinetic energy changes by -1.25 J
Given;
First block's mass, m1, is 5 kg.
u1 = 3.0 m/s is the first block's starting speed.
m2 weight of the second block is 10.0 kg.
u2 = 2.0 m/s is the second block's initial speed.
v2 = 2.5 m/s is the second block's final speed.
Immediately following the impact, the first block block's Part (A) velocity is as follows:
Apply the law of conservation of linear momentum: m1u1 + m2u2 = m1v1 + m2v2, where v1 is the speed of the first block after it collides.
(5 x 3.0) + (10 x 2.0) = 5.0v₁ + (10 x 2.5) (10 x 2.5)
35= 2.5v₁ + 25
2.5v₁ = 35-25
2.5v₁ = 10
v₁ = 10/2.5
v₁ = 4
2.5 m/s in the same direction for v1.
Change in the system's overall kinetic energy, part (B):
Final kinetic energy minus beginning kinetic energy equals the change in kinetic energy.
ΔK = (1/2m1v1^2 + 1/2m2v2^2) - (1/2m1u1^2 + 1/2m2u2^2)
ΔK is equal to (1/2 x 5 x 4^2 + 1/2 x 10 x 2.5^2) – (1/2 x 5 x 3^2 + 1/2 x 10 x 2^2).
ΔK = 71.25 J - 42.5 J
ΔK = 28.75 J
Change in part (C) of the system's total kinetic energy if the second block accelerates to 5.2 m/s
Determine the final speed of the first block using the conservation of linear momentum: m1u1 + m2u2 = m1v1 + m2v2 (5 x 3.0) + (10 x 2.0) = 5v1 + (10 x 4)
35 = 2.5v₁ + 40
2.5v₁ = -5
2.5v₁ = - 5 v₁ = - 5 / 2.5 \s v₁ = -2 m/s
Final kinetic energy minus beginning kinetic energy equals the change in kinetic energy.
K = (1/2m1v12 + 1/2m2v22) - (1/2m1u12 + 1/2m2u22)
K is equal to (1/2 x 5 x 22 + 1/2 x 10 x 2.52) - (1/2 x 5 x 3 + 1/2 x 10 x 2).
ΔK = 41.25 - 42.5 J
ΔK = -1.25 J
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