a 7.00 g bullet is fired horizontally into a 1.20 kg wooden block resting on a horizontal surface. the coefficient of kinetic friction between block and surface is 0.20. the bullet remains embedded in the block, which is observed to slide 0.390 m along the surface before stopping.
Answers
The final velocity of the block and the bullet after the collision is 12.43 m/s.
First, we need to determine the initial velocity of the bullet. We can use the conservation of momentum principle, which states that the total momentum of a system remains constant if no external forces act on it. Thus, we have:
m_bullet x v_bullet = (m_bullet + m_block) x v_final
where m_bullet is the mass of the bullet, v_bullet is its initial velocity, m_block is the mass of the wooden block, and v_final is the final velocity of the block and the bullet after the collision. Since the bullet remains embedded in the block, we can assume that their final velocities are the same.
Substituting the given values, we get:
7.00 g x v_bullet = (7.00 g + 1.20 kg) x v_final
Simplifying, we get:
v_bullet = v_final x (1.20 kg / 7.00 g + 1.20 kg)
v_bullet = v_final x 0.994
Next, we need to find the frictional force acting on the block. We can use the formula:
f_friction = friction coefficient x normal force
where f_friction is the frictional force, friction coefficient is the coefficient of kinetic friction between the block and the surface, and normal force is the force exerted by the surface perpendicular to the block's surface. Since the block is resting on a horizontal surface, the normal force is equal to its weight, which is:
m_block x g = 1.20 kg x 9.81 m/s² = 11.772 N
Substituting the given friction coefficient, we get:
f_friction = 0.20 x 11.772 N = 2.354 N
The frictional force acts in the opposite direction to the block's motion, so we can use it to find the work done by friction, which is:
W_friction = f_friction x d
where W_friction is the work done by friction, and d is the distance the block slides along the surface. Substituting the given values, we get:
W_friction = 2.354 N x 0.390 m = 0.917 J
Finally, we can use the work-energy principle, which states that the net work done on an object is equal to its change in kinetic energy. In this case, the initial kinetic energy of the bullet is equal to zero, and the final kinetic energy of the block and the bullet is also zero, since they come to a stop. Thus, the net work done on the system is:
W_net = W_friction
Substituting the previously calculated value of W_friction, we get:
W_net = 0.917 J
This work is equal to the initial kinetic energy of the bullet, which is:
K_initial = (1/2) x m_bullet x v_bullet²
K_initial = (1/2) x 7.00 g x (v_final x 0.994)²
K_initial = 2.435 x 10⁻³ J x v_final²
Equating this to the net work done, we get:
2.435 x 10⁻³ J x v_final² = 0.917 J
v_final = 12.43 m/s
Therefore, the final velocity of the block and the bullet after the collision is 12.43 m/s.
To know more about velocity, refer
https://brainly.com/question/80295
#SPJ11
Related Questions
A stone is dropped from the top a 45m hign building how fast will it moving when it reaches the ground? Ande what will its velocity be?
Answers
Answer:
29.7 m/s fast, velocity is 29.7 m/s
Explanation:
Applying,
v² = u²+2gs...................... Equation 1
Where v = final velocity, u = initial velocity, g = acceleration due to gravity, s = distance.
Given: u = 0 m/s (dropped from height), s = 45 m
Constant: g = 9.8 m/s²
Substitute these values into equation 1
v² = 0²+2×9.8×45
v² = 882
v = √(882)
v = 29.7 m/s.
Hence the stone will be moving 29.7 m/s fast and the velocity is also 29.7 m/s
List 2 examples of physical properties that don't
change if the sample size changes.
Answers
Answer:
Temperature, density
Explanation:
Physical properties of a substance are those properties that do not change the chemical composition of the substance. There are two types of physical properties namely: intensive property and extensive property.
Intensive properties are those physical properties that does not depend on the sample size of the substance involved. Examples of intensive physical properties are temperature, density, boiling point. For example, the size or amount of a substance does not determine the the TEMPERATURE or BOILING POINT of the substance.
A scientist uses an electric motor to lift a load through a vertical distance of 2.0m.
He then increases the input power to the motor and repeats the experiment. The efficiency of the
motor does not change.
Which row correctly describes the effect that this has on the useful work done lifting the load and
the time taken to lift it?
work done
A
decreases
B
stays the same
decreases
time taken
decreases
decreases
stays the same
stays the same
с
D
stays the same
Answers
Answer: B
Explanation: efficiency is the useful energy supplied; useful energy supplied doesn't not change,
work done stays constant
in order to to increase the power of the motor, time would have to be decreased to get the wanted result..
When he increases the input power to the motor and repeats the experiment, work done stays the same but time taken decreases.
What is power?The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
A motor's output power is calculated by multiplying its torque output by the angular velocity of its output shaft.
To lift a load through a vertical distance of 2.0m, in the both cases same amount of work-done happens because the displacement is same.
But as the input power, in second case, increases but the efficiency of the motor does not change, the time taken decreases ( as time taken = work done/power)
Learn more about power here:
https://brainly.com/question/14379882
#SPJ2
As the alternating current through a conductor increases, an expanding and collapsing electromagnetic field through the conductor produces a voltage within the conductor. this is known as:_____
Answers
As the alternating current through a conductor increases, an expanding and collapsing electromagnetic field through the conductor produces a voltage within the conductor. this is known as electromagnetic induction.
As the alternating current through a conductor increases, an expanding and collapsing electromagnetic field through the conductor produces a voltage within the conductor. This process is known as electromagnetic induction, which is a fundamental principle in physics and electrical engineering. It describes the generation of an electric current in a conductor when it is exposed to a changing magnetic field. This phenomenon is the basis for various applications, including generators, transformers, and induction coils. Electromagnetic induction plays a crucial role in the functioning of many electrical devices and is a fundamental concept in the study of electromagnetism.
Learn more about electromagnetic induction here:
brainly.com/question/32444953
#SPJ11
Gravitation always does negative work. question 48 options: true false
Answers
The statement indicating that 'Gravitation always does negative work' is FALSE.
What is Gravitation?Gravitation is a fundamental physical force that makes objects attract each other in the Universe.
This force (Gravitation) is required to maintain both constant positions and movement of objects.
In conclusion, the statement indicating that 'Gravitation always does negative work' is FALSE.
Learn more about Gravitation here:
https://brainly.com/question/557206
#SPJ1
Answer:false
Explanation:
Which describes the sum of potential energy and kinetic energy of objects or systems? *
a. nuclear energy and electric energy
b. nuclear and mechanical energy
c. thermal energy and electric energy
d. thermal energy and mechanical energy
Answers
Answer:
The Total Mechanical Energy
The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy. This sum is simply referred to as the total mechanical energy (abbreviated TME).
Thermal energy and mechanical energy describes the sum of potential energy and kinetic energy of objects or systems. Correct option is D.
Potential Energy: This is the energy that an object possesses due to its position or condition. For example, a book placed on a shelf has potential energy because it can potentially fall down. The higher the object is positioned, the more potential energy it has.
Kinetic Energy: This is the energy of motion. An object that is moving has kinetic energy. The kinetic energy of an object depends on its mass and its velocity (speed).
Thermal Energy: This is the energy associated with the random motion of particles within a substance. It's related to temperature and is a form of kinetic energy at the microscopic level.
Mechanical Energy: This is the sum of potential energy and kinetic energy in a mechanical system. In other words, it accounts for both the energy an object has due to its position and the energy it has due to its motion.
To know more about Thermal energy:
https://brainly.com/question/3022807
#SPJ3
A spring has a spring constant of k = 50 N/m. The spring is compressed a distance of 31cm. What is the potential energy stored in the spring?
Answers
1.96 kg * m2/s2
Explanation:I'm assuming that you are asking what is the elastic potential energy stored in the spring at the position stretched by 16.5 cm...Since you know the spring constant k, 144 N/m and the spring stretch from the equilibrium position x, is 16.5 cm, or 0.165, you find the spring's potential energy from the equation PE = 12kx2, which equals 1.96 Joules, or kg * m2/s2 if you want SI units.
What are the products of a fusion reaction? Check all that apply. Lighter atoms energy heavier atoms a neutron a proton.
Answers
The process by which two or more tiny nuclei unite to generate a bigger nucleus is known as a nuclear fusion reaction. Heavier atoms are products of a fusion reaction.
What is nuclear fusion?The process by which two or more tiny nuclei unite to generate a bigger nucleus is known as a nuclear fusion reaction.
For example, the fusion of two hydrogen atoms produces more energy than the fusion of one helium atom, and surplus energy is expelled into space upon binding.
Hence heavier atoms are e products of a fusion reaction.
To learn more about nuclear fusion refer to the link;
https://brainly.com/question/14019172
Answer:
B C D
Explanation:
is hammering wood together a physical or a chemical
Answers
Answer:
Physical
Explanation:
The physical properties of a substance change, but the identity of the substance doesn't change
. A boy wishes to make a catapult out of a rubber band of width 9mm and thickness 1.55mm. Determine the length of the band that he must use so that when he stretches it by 0.25 of its natural length and releases it the velocity of pebble of mass 0.006kg will be 30m/s. Take young modulus of the rubber to be 4×10^7 N/m^2
Answers
The length of the rubber band that the boy must use is 0.024 m or 24 mm.
What will be the length of the rubber required?To determine the length of the rubber band, we can use the formula for the potential energy stored in a stretched spring, which is also applicable to a stretched rubber band:
U = 1/2 kx²where U is the potential energy stored in the rubber band, k is the spring constant (or in this case, the rubber band constant), and x is the displacement of the rubber band from its natural length.
Since the rubber band is stretched by 0.25 of its natural length, the displacement x is 0.25 times the natural length of the rubber band.
We can solve for the rubber band constant k by using the formula for the velocity of a projectile launched by a spring (or in this case, a rubber band):
v = √(2mk/M)where v is the velocity of the projectile, m is the mass of the rubber band, M is the mass of the projectile, and k is the spring constant. We can rearrange this equation to solve for k:
k = (v² M) / (2 m)
We can now combine the two equations to solve for the length of the rubber band, L:
U = 1/2 k x²
U = 1/2 ((v² M) / (2 m)) (0.25 L)²
U = (v² M L²) / (32 m)
The potential energy stored in the rubber band must be equal to the kinetic energy of the projectile when it is launched:
U = 1/2 M v²
(v² M L²) / (32 m) = 1/2 M v²
L = ((16 m v²) / (k M))
L = ((16 m v²) / ((v² M) / (2 m) M))
L = √(32 m^2 / M)
L = (0.032 M)
Substituting the given values, we get:
L = √(0.032 * 0.006)
L = 0.024 m
Learn more about Young modulus at: https://brainly.com/question/13257353
#SPJ1
a 3000 kg car with a full load of people, has a kinetic energy of 190,000 J. What would the kinetic energy of the car be if it was moving at the same speed but a different mass of 1500 kg?
Answers
Answer: 15.9 m/s
Explanation:
KE = 1/2(mv^2)
190,000J = 1/2(3000kg)*v^2
1 J = 1 kg*m^2/s^2
190,000 kg*m^2/s^2 = 1/2(3000kg)*v^2
v^2 = (190,000 kg*m^2/s^2)/(1/2(3000kg))
v^2 = (190,000 kg*m^2/s^2)/(1500kg))
v^2 = 126.6667 m^2/s^2
v = 11.25 mm/s velocity of 3000kg vehicle
With the same kinetic energy, a vehicle of 1500kg would have a different velocity:
190,000 kg*m^2/s^2 = 1/2(1500kg)*v^2
190,000 kg*m^2/s^2 =(750kg)*v^2
v^2 = 253.33 m^2/s^2
v = 15.9 m/s
A bat hasa mads of 2kg at the velocity of 45 m/s what is the kinectic energy could he give to a ball
Answers
Answer:
the kinetic energy the bat can give to a ball is 2,025 J.
Explanation:
Given;
mass of the bat, m = 2kg
velocity of the bat, v = 45 m/s
The kinetic energy the bat can give to a ball is calculated as;
\(K.E = \frac{1}{2} mv^2\\\\K.E = \frac{1}{2} \times \ 2 \ \times \ 45^2\\\\K.E = 2,025 \ J\)
Therefore, the kinetic energy the bat can give to a ball is 2,025 J.
Why must the rockets use great force to get into outer space?
Answers
A professional golfer walks at an at an average rate of 4.20 meters per second on the golf course. The amount of time required for her to walk from the tee to the green 622 meters away is
Answers
Answer:
T try d add b CD c
Explanation:
Cdgffd
What is the power of a snowplow moving a snow pile 18 meters with 800 N of force in 15 seconds?(Hint; two part question )
Answers
Answer:
960 W
Explanation:
F = 800 N
x = 18 m
t = 15 s
Work = Fx= (800 N)(18 m) = 14,400 J
Power = Work / time = (14,400 J) / (15 s) = 960 W
What do u mean by 1 energy work?
Answers
Answer:
In physics we say that work is done on an object when you transfer energy to that object. If one object transfers (gives) energy to a second object, then the first object does work on the second object. Work is the application of a force over a distance. ... Energy can be defined as the capacity for doing work.
A ball is thrown straight up from the ground. Where will the ball have its lowest velocity
Answers
Explanation:
i think it will be on the ground
Describe the mirror forula for a concave mirror
Answers
Answer:
1 =1 +1
f. v u
Explanation:
f is the focal length
v is the image distance
u is the object distance
1/f = 1/v + 1/u
The above formula gives us the relation between 'f' 'v' & 'u', Where :
f = focal length
v = image distance
u = object distance
This formula not only used for concave mirror, but also for convex mirror.
PLEASE HELPPP
Force: Adding vectors (find resultant force)
50N north plus 50N west Plus 50N north west
Answers
One way to do this is to draw a diagram of the vectors and use the head-to-tail method to find the resultant vector. We can start by drawing the vector 50N north, then draw the vector 50N west starting from the end of the first vector, and finally draw the vector 50N northwest starting from the end of the second vector and ending at the tip of the resultant vector. The resultant vector is the vector that starts at the beginning of the first vector and ends at the tip of the last vector.
Alternatively, we can use trigonometry to find the magnitude and direction of the resultant vector. We can break down each vector into its x and y components, then add up the x components and the y components separately to get the x and y components of the resultant vector. The magnitude of the resultant vector is then given by the square root of the sum of the squares of the x and y components, and the direction is given by the arctangent of the y component divided by the x component.
Using either method, we can find that the magnitude of the resultant force is approximately 70.7N, and the direction is approximately 45 degrees north of west
Does light travel faster in Barium glass or Crown glass? Explain
Answers
Answer:
Crown glass. The material which the velocity of light greatest is AIR. Because the speed of light in crown glass is the speed of light in a vacuum divided by the index of refraction of crown glass, which is 1.52. This works out to 1.97 times 10 to the 8 meters per second is the speed of light in crown glass.
2. A football player kicks a ball with a force of 50N. Find the impulse on the ball if his foot stays in
contact with the football for 0.01s.
a
3.A hockey player applies an average force of 80N to a 0.25kg hockey puck for a time of 0.2s.
Determine the impulse experienced by the hockey puck.
Answers
Answer:
you should know
\(i = ft\)
where f is an average force.
First Question
i = 50N ×0.01s = 0.5 N•s
Second Question
i = 80N ×0.2s = 16N•s
a space vehicle travels at (about ) relative to the earth. how much time will its clocks gain or lose, as compared to earth- based clocks, in a day?
Answers
The clocks on the space vehicle will gain approximately 0.0031 day or 4.5 minutes per day compared to Earth-based clocks due to time dilation. This means that if the space vehicle travels for a year, its clocks would be ahead of Earth-based clocks by approximately 26 hours.
According to the theory of relativity, time is not absolute and can vary depending on the relative motion of two observers. When an object travels at a high velocity relative to another object, time dilation occurs, which means that time appears to move slower for the moving object. In the case of a space vehicle traveling at a high velocity relative to the Earth, its clocks will appear to move slower than Earth-based clocks.
To calculate the exact amount of time dilation, we need to use the formula:
Δt' = Δt * √(1 - v²/c²)
where Δt' is the time interval measured by the moving clock, Δt is the time interval measured by the stationary clock (Earth-based clock), v is the velocity of the moving clock relative to the stationary clock, and c is the speed of light.
Assuming that the space vehicle is traveling at a velocity of 27,500 km/h, which is about the speed of the International Space Station (ISS), we can calculate the time dilation as follows:
Δt' = Δt * √(1 - v²/c²)
Δt' = 1 day * √(1 - (27,500 km/h)²/(299,792 km/s)²)
Δt' = 1 day * √(1 - 0.0002525)
Δt' = 1 day * √(0.9997475)
Δt' = 0.999873 day or 23.9969 hours
Therefore, the clocks on the space vehicle will gain approximately 0.0031 day or 4.5 minutes per day compared to Earth-based clocks due to time dilation. This means that if the space vehicle travels for a year, its clocks would be ahead of Earth-based clocks by approximately 26 hours.
To know more about space vehicles, refer
https://brainly.com/question/13504031
#SPJ11
Help me plssssss !! :)))))
Answers
Answer:
Explanation:
Electric force is an invisible force created by electrically charged objects. The area of this force around electrically charged objects is called electric field.
The answer is B.
Answer:
Explanation:
by def'n, ans is B. Electric, electric
Petroleum is a non -renewable resource. Therefore, its use needs
to be planned so that present and future use can be adequately met.
Explain how the optimal level of use of petroleum can be
achieved.
Answers
Petroleum is a non-renewable resource, which means that it cannot be replenished. Because of this, its usage needs to be planned properly to make sure that there is sufficient availability for present and future needs
The optimal level of use of petroleum can be achieved by several ways which are listed below:
1. Reduce wastage: The optimal level of petroleum use can be achieved by reducing wastage. We should aim to use petroleum products efficiently to minimize wastage and ensure that the resource is not used up too quickly.
2. Develop alternative energy sources: Another way to achieve the optimal level of petroleum use is to develop alternative energy sources. Renewable energy sources like solar, wind, and hydro can be developed to supplement petroleum.
3. Increase efficiency: The third way to achieve the optimal level of petroleum use is to increase efficiency. We can achieve this by improving the efficiency of vehicles and machinery that consume petroleum products.
4. Conservation: Conservation can also help achieve the optimal level of petroleum use. We can conserve petroleum by using it judiciously and avoiding unnecessary use. We can also reduce our reliance on petroleum products by using alternatives like public transport or bicycles.
5. Develop sustainable transportation: Developing sustainable transportation can also help achieve the optimal level of petroleum use. We can develop transportation systems that are more efficient, rely on alternative energy sources, and reduce the amount of petroleum consumed.
Learn more about alternative energy at
https://brainly.com/question/8742009
#SPJ11
Estimate how the phase difference would change when the value of ω changes from zero to infinity in the circuit
Answers
Without a specific circuit provided, it is difficult to estimate how the phase difference would change when the value of ω changes from zero to infinity.
The phase difference is dependent on the specific circuit components and their respective impedances.
In general, the phase difference between voltage and current in a circuit with inductive or capacitive elements can change significantly as the frequency (or angular frequency ω) changes.
For example, in a simple series circuit consisting of a resistor and an inductor, the phase difference between the voltage and current is zero at DC (ω=0) and approaches 90 degrees as ω approaches infinity.
In contrast, for a series circuit with a resistor and capacitor, the phase difference starts at 90 degrees at DC and approaches zero as ω approaches infinity.
Therefore, it is important to analyze the specific circuit and its components to determine how the phase difference would change as ω changes from zero to infinity.
To know more about phase difference refer here
brainly.com/question/14594671#
#SPJ11
Which of the following statements about the
gastrointestinal tracts is true?
The upper and lower gastrointestinal tracts
have mostly different diseases and disorders.
0 There are no similar diseases or disorders
between the upper and lower gastrointestinal
tracts.
O The two gastrointestinal tracts contain the
same organs.
Answers
Answer: the answer is A
Explanation: just did it
A wire of cross sectional area of 6 * 10 ^ - 5 * m ^ 2 length 50cm stretches by 0.4mm under a load of 3000N. What is the Young's Modulus of the wire?
Answers
The Young's Modulus of the wire of length 50 cm is 4.0×10⁵ N/m.
What is young's modulus?Young's modulus is a measure of the ability of a material to withstand changes in length when under lengthwise tension or compression.
To calculate the young's modulus of the wire, we use the formula below.
Formula:
γ = (F/A)/(L/e).................. Equation 1Where:
γ = Young's modulusF = ForceA = AreaL = Length of the wiree = ExtensionFrom the question,
Given:
F = 3000 NA = 6×10⁻⁵ m²L = 50 cm = 0.05e = 0.4 mm = 4×10⁻⁴ mSubstitute these values into equation 1
γ = (3000/6×10⁻⁵)/(0.05/4×10⁻⁴)γ = 4.0×10⁵ N/mHence, the Young's Modulus is 4.0×10⁵ N/m.
Learn more about young's modulus here: https://brainly.com/question/28757637
#SPJ1
What is the acceleration of a 7 kg mass if the force of 70 N is used to move it toward the Earth?
Answers
Answer:
10 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
\(a = \frac{f}{m} \\ \)
m is the mass
f is the force
From the question we have
\(a = \frac{70}{7} = 10 \\ \)
We have the final answer as
10 m/s²Hope this helps you
what is the wavelength of a wave that has a speed of 350 Meters/second and a frequency of 140 hertz?
____ meters
Answers
Answer:
\( \lambda = 2.5 \: m\)Explanation:
To find:-
The wavelength of the wave.Answer:-
We are here given that , the speed of a wave is 350m/s and has a frequency of 140Hz . We are interested in finding out the wavelength of the wavelength of the wave .
As we know that, wavelength, frequency and speed are related to each other as ,
\(\longrightarrow\boxed{ v = \lambda \nu} \\\)
where,
\(v\) is the speed of the wave.\(\lambda\) is the wavelength of the wave.\(\nu\) is the frequency of the wave.On substituting the respective values, we have;
\(\longrightarrow 350 m/s = \lambda \times 140Hz \\\)
\(\longrightarrow \lambda =\dfrac{350}{140} m \\\)
\(\longrightarrow \boxed{\boldsymbol \lambda = 2.5 \ m} \\\)
Hence the wavelength of the wave is 2.5 m .
Answer:
2.5meter
Explanation:
edge 2023
A pirate is sitting on a small boat with a loaded cannon. In desperate need of food, he fires the cannon at an Albatross bird sitting in the water (he misses). The cannon ball has a mass of 49 kg and leaves the cannon with a velocity of 134 m/s. If the pirate and everything else on the boat have a mass of 356 kg, what is their velocity right after the cannonball is fired?
Answers
Given data:
* The mass of the cannonball is m_1 = 49 kg.
* The initial velocity of the cannonball is u_1 = 0 m/s.
* The final velocity of the cannonball is v_1 = 134 m/s.
* The mass of the boat and pirate is m_2 = 356 kg.
* The initial velocity of the boat and pirate is u_2 = 0 m/s.
Solution:
According to the law of conservation of momentum, the net momentum of the system in the initial state is equal to the net momentum of the system in the final state.
Thus,
\(m_1u_1+m_2u_2=m_1v_1+m_2v_2\)Substituting the known values,
\(\begin{gathered} 49\times0+356\times0=49\times134+356v_2 \\ 0=6566+356v_2 \\ 356v_2=-6566 \\ v_2=-\frac{6566}{356} \end{gathered}\)By simplifying,
\(v_2=-18.44\text{ m/s}\)Here, the negative sign indicates the motion of the boat and pirate is opposite to the direction of the cannonball.
Thus, the velocity of the boat and pirate after the cannonball fired is -18.44 meters per second.