A) Two blocks of clay, one of mass 1.00 kg and one of mass 3.00 kg, undergo a completely inelastic collision. Before the collision one of the blocks is at rest and the other block is moving with kinetic energy 32.0 JJ. If the 3.00 kg block is initially at rest and the 1.00 kg block is moving, what is the initial speed of the 1.00 kg block? B) What is the common final speed of the two blocks? C) How much kinetic energy is lost in the collision?
A) Two blocks of clay, one of mass 1.00 kg and one of mass 3.00 kg, undergo a completely inelastic collision. Before the collision one of the blocks is at rest and the other block is moving with kinetic energy 32.0 JJ. If the 3.00 kg block is initially at rest and the 1.00 kg block is moving, what is the initial speed of the 1.00 kg block?
B) What is the common final speed of the two blocks?
C) How much kinetic energy is lost in the collision?
D) If the 1.00 kg block is initially at rest and the 3.00 kg block is moving, what is the initial speed of the 3.00 kg block?
E) What is the common final speed of the two blocks in case of the 1.00 kgkg block is initially at rest?
F) How much kinetic energy is lost in the collision in case of the 1.00 kg block is initially at rest?
G) In which case is more of the initial kinetic energy lost in a completely inelastic collision: a moving object collides (i) with a heavier object at rest or (ii) with a lighter object at rest?
H) A 0.500 kg block of cheese sliding on a frictionless tabletop collides with and sticks to a 0.180 kg apple. Before the collision the cheese was moving at 1.40 m/sm/s and the apple was at rest. The cheese and apple then slide together off the edge of the table and fall to the floor 0.600 mm below. Find the speed of the cheese and apple just after the collision.
I) In this collision, what is conserved: momentum, total mechanical energy, both, or neither?
J) What is the speed of the cheese and apple just before they hit the floor?
K) During the fall from the tabletop to the floor, what is conserved: momentum, total mechanical energy, both, or neither?
L) A 2.40 kg can of coffee moving at 1.50 m/sm/s in the +x+x-direction on a kitchen counter collides head-on with a 1.20 kg box of macaroni that is initially at rest. After the collision the can of coffee is moving at 0.825 m/sm/s in the +x+x-direction. What is the velocity (magnitude and direction) of the box of macaroni after the collision?
M) What is the kinetic energy of the can before the collision?
N) What is the kinetic energy of the can after the collision?
O) What is the kinetic energy of the box after the collision?
P) Is this collision elastic, inelastic, or completely inelastic?
Q) A block of mass mm moving due east at speed vv collides with and sticks to a block of mass 2m2m that is moving at the same speed vv but in a direction 45.0∘∘ north of east. Find the direction in which the two blocks move after the collision.
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