A lift ascends from rest with uniform acceleration of 4m/s^2, then it moves with uniform velocity and finally comes to rest with uniform retardation of 4m/s^2. If the total distance covered during ascending is 28m and total time taken for ascending is 8s respectively. Find the time for which the lift moves with uniform velocity. Also find the uniform Velocity.
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BEFORE COLISION
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AFTER COLISION
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m1(kg)
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v1(m/s)
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m2(kg)
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v2(m/s)
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m1(kg)
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v1(m/s)
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m2(kg)
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v2(m/s)
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0.1
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2.0
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.1
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-2.0
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0.1
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-1.0
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0.1
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1.0
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0.1
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2.0
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0.3
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-2.0
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0.1
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-4.
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Two carts on an air track move towards each other with velocities v1i and v2i . The carts collide and their velocities v1f and v2f are recorded. The table provides data about the collisions including the initial velocities of the carts before the collisions, the final velocities after the collision, and the masses of the carts:
SHOW WORK PLEASE
1.Determine if the momentum is conserved in these collisions. Is the kinetic energy conserved?
2.Assuming that the uncertainties on the masses and velocities are M= 0.1 kg and V = 0.01 m/s, calculate the uncertainty in the momentum and kinetic energy for the second trial (bottom row).
3.Two particles are both moving to the right. Particle 1 catches up to particle 2 and collides with it. The particles stick together and continue on with a velocity vf . Which of these statements is true?
a. vf is greather than v1.
b. vf = v2
c. vf = v1
d. vf is less than v2
e. vf is greater than v2 but less than v1
f. Can't tell without knowing the masses.