A 6.0-kg object moving 2.0 m/s in the positive x direction has a one-dimensional elastic collision with a 4.0-kg object moving 3.0 m/s in the opposite direction. What is the total kinetic energy of the two-mass system after the collision?
a. 30 J
b. 62 J
c. 20 J
d. 44 J
e. 24 J
[Ques. 2] A 3.0-kg object moving 8.0 m/s in the positive x direction has a one-dimensional elastic collision with an object (mass = M) initially at rest. After the collision the object of unknown mass has a velocity of 6.0 m/s in the positive x direction. What is M?
a. 7.5 kg
b. 5.0 kg
c. 6.0 kg
d. 4.2 kg
e. 8.0 kg
[Ques. 3] A 3.0-kg object moving in the positive x direction has a one-dimensional elastic collision with a 5.0-kg object initially at rest. After the collision the 5.0-kg object has a velocity of 6.0 m/s in the positive x direction. What was the initial speed of the 3.0 kg object?
a. 6.0 m/s
b. 7.0 m/s
c. 4.5 m/s
d. 8.0 m/s
e. 5.5 m/s
[Ques. 4] A 1.0-kg ball is attached to the end of a 2.5-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point in its swing when it is moving horizontally, the ball collides elastically with a 2.0-kg block initially at rest on a horizontal frictionless surface. What is the speed of the block just after the collision?
a. 2.3 m/s
b. 4.7 m/s
c. 3.5 m/s
d. 3.0 m/s
e. 7.0 m/s
[Ques. 5] A 10-g bullet moving horizontally with a speed of 2.0 km/s strikes and passes through a 4.0-kg block moving with a speed of 4.2 m/s in the opposite direction on a horizontal frictionless surface. If the block is brought to rest by the collision, what is the kinetic energy of the bullet as it emerges from the block?
a. 0.51 kJ
b. 0.29 kJ
c. 0.80 kJ
d. 0.13 kJ
e. 20 kJ
[Ques. 6] A 3.0-kg mass sliding on a frictionless surface has a velocity of 5.0 m/s east when it undergoes a one-dimensional inelastic collision with a 2.0-kg mass that has an initial velocity of 2.0 m/s west. After the collision the 3.0-kg mass has a velocity of 1.0 m/s east. How much kinetic energy does the two-mass system lose during the collision?
a. 22 J
b. 24 J
c. 26 J
d. 20 J
e. 28 J
[Ques. 7] A 2.0-kg object moving 5.0 m/s collides with and sticks to an 8.0-kg object initially at rest. Determine the kinetic energy lost by the system as a result of this collision.
a. 20 J
b. 15 J
c. 30 J
d. 25 J
e. 5.0 J
[Ques. 8] A 6.0-kg object moving 5.0 m/s collides with and sticks to a 2.0-kg object. After the collision the composite object is moving 2.0 m/s in a direction opposite to the initial direction of motion of the 6.0-kg object. Determine the speed of the 2.0-kg object before the collision.
a. 15 m/s
b. 7.0 m/s
c. 8.0 m/s
d. 23 m/s
e. 11 m/s
[Ques. 9] A 2.0-kg object moving with a velocity of 5.0 m/s in the positive x direction strikes and sticks to a 3.0-kg object moving with a speed of 2.0 m/s in the same direction. How much kinetic energy is lost in this collision?
a. 2.4 J
b. 9.6 J
c. 5.4 J
d. 0.6 J
e. 6.0 J
[Ques. 10] A 1.6-kg ball is attached to the end of a 0.40-m string to form a pendulum. This pendulum is released from rest with the string horizontal. At the lowest point of its swing, when it is moving horizontally, the ball collides with a 0.80-kg block initially at rest on a horizontal frictionless surface. The speed of the block just after the collision is 3.0 m/s. What is the speed of the ball just after the collision?
a. 1.7 m/s
b. 1.1 m/s
c. 1.5 m/s
d. 1.3 m/s
e. 2.1 m/s
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