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A ball of mass of 500 gram is projected ...

A ball of mass of 500 gram is projected vertically upwards with a speed of 4m/s. What is the maximum gravitational potential energy of the ball?

A

2.5J

B

3J

C

3.5J

D

4J

Text Solution

Verified by Experts

The correct Answer is:
D
The initial K.E. of the bullet `=1/2mv^(2)=1/2 xx 50 xx 10^(-3) xx 200 xx 200`
`therefore K_(1)=1000J`
Final K.E. `(K_(f)) =(25)/(100) xx 1000=250J`
`therefore 1/2 mv_(f)^(2)=250`
`therefore 1/2 xx 50 xx 10^(-3) xx v_(f)^(2)=250`
`therefore v_(f)^(2)=(250 xx 2 xx 10^(3))/(50)=10^(4)`
Decrease in speed `=(200-100)=100m//s.`
Percentage decrease in speed `=(100)/(200) xx 100 =50%`
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