A block of mass M is dropped from a height H onto a vertical spring as shown in Figure A. The spring elastic constant is k. The block sticks to the spring and the spring compresses by L before coming momentarily to rest. a) How much work is done by the force of gravity while the spring is being compressed? b) How much work is done by the spring? c) What was the speed of the block just before it hit the spring?

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A block of mass M is dropped from a height H onto a vertical spring as shown in Figure A.
The spring elastic constant is k. The block sticks to the spring and the spring compresses by L
before coming momentarily to rest.
a) How much work is done by the force of gravity while the spring is being compressed?
b) How much work is done by the spring?
c) What was the speed of the block just before it hit the spring?
Now consider Figure B where just before the block hits the spring a gun fires a bullet of mass
m=M/4 and speed vB. Once the bullet hits the block, it stays inside the block.
d) How much is the spring compressed this time if vB = 320 m/s, M = 0.020 kg, H = 20m,
k = 400N/m and g= 10m/s? ? (Final answer can be left as an equation of L)
Figure A
Figure B
M
Ive
H
Transcribed Image Text:A block of mass M is dropped from a height H onto a vertical spring as shown in Figure A. The spring elastic constant is k. The block sticks to the spring and the spring compresses by L before coming momentarily to rest. a) How much work is done by the force of gravity while the spring is being compressed? b) How much work is done by the spring? c) What was the speed of the block just before it hit the spring? Now consider Figure B where just before the block hits the spring a gun fires a bullet of mass m=M/4 and speed vB. Once the bullet hits the block, it stays inside the block. d) How much is the spring compressed this time if vB = 320 m/s, M = 0.020 kg, H = 20m, k = 400N/m and g= 10m/s? ? (Final answer can be left as an equation of L) Figure A Figure B M Ive H
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