A 20kg-block is released from rest at A. The block slides along the rough surface ABC to hit a 4 kg ball, which is initially at rest at C. The ball then starts sliding up along a smooth curved surface CD and eventually leaves point D in a projectile motion. The coefficient of kinetic friction between the block and the surface ABC is lk= 0.2. The coefficient of restitution between the block and the ball is e = 0.5. The distances are: LBC= 8m, LAB=25m. If the ball reaches point D with a velocity of Vp=18 m/s: State if this statement is true or false, and explain why: If the impact between the ball and the ground at E is not plastic, the horizontal x-component of the ball's velocity VE just before and after hitting the ground should stay the same. Block VD 0-60° D a=150 B-60°/ LAB Ball E В LBC y

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A 20kg-block is released from rest at A. The block slides along the rough surface ABC to hit a 4 kg
ball, which is initially at rest at C. The ball then starts sliding up along a smooth curved surface CD
and eventually leaves point D in a projectile motion. The coefficient of kinetic friction between the
block and the surface ABC is µk= 0.2. The coefficient of restitution between the block and the ball
is e = 0.5. The distances are: LBC = 8m, LAB=25m.
If the ball reaches point D with a velocity of Vp=18 m/s:
State if this statement is true or false, and explain why: If the impact between the ball and the
ground at E is not plastic, the horizontal x-component of the ball's velocity VE just before and after
hitting the ground should stay the same.
Block
0-60°
0=60°
a=150
Ball
E
B=60°/ LAB
В
y
-LBC
Transcribed Image Text:A 20kg-block is released from rest at A. The block slides along the rough surface ABC to hit a 4 kg ball, which is initially at rest at C. The ball then starts sliding up along a smooth curved surface CD and eventually leaves point D in a projectile motion. The coefficient of kinetic friction between the block and the surface ABC is µk= 0.2. The coefficient of restitution between the block and the ball is e = 0.5. The distances are: LBC = 8m, LAB=25m. If the ball reaches point D with a velocity of Vp=18 m/s: State if this statement is true or false, and explain why: If the impact between the ball and the ground at E is not plastic, the horizontal x-component of the ball's velocity VE just before and after hitting the ground should stay the same. Block 0-60° 0=60° a=150 Ball E B=60°/ LAB В y -LBC
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