Home
Class 12
PHYSICS
The KE and PE of the ball half way up, w...

The KE and PE of the ball half way up, when a ball of mass 0.1 kg is thrown vertically upwards with an initial speed of 20 m/s is

A

10 J, 20 J

B

15 J, 8J

C

8 J, 16 J

D

10 J, 10 J

Text Solution

Verified by Experts

The correct Answer is:
D
`v^2 = u^2 - 2gh`
`0 = (20)^2 - 2 xx 10 xx h rArr h = (20 xx 20)/(2 xx 10)`
` therefore h= 20cm`
height of mid-point , h = 10m
`v^2 = u^2 - 2g xx 10 `
`rArr v^2 = (20)^2 - 2 xx 10 xx 10`
` rArr v^2 = 400 - 200`
` therefore v^2 = 200`
kinetic energy `= 1/2 mv^2 = 1/2 xx 0.1 xx 200 = 10J`
Potential energy ` = mgh = 0.1 xx 10 xx 10 = 10J`
Promotional Banner

Similar Questions

Explore conceptually related problems

When a ball is thrown vertically upwards, at the maximum height

A ball is projected vertically up with speed 20 m/s. Take g=10m//s^(2)

A ball thrown vertically upwards with an initial velocity of 1.4 m//s. The total displcement of the ball is

A ball is thrown downwards with a speed of 20 ms^(–1) from top of a building 150m high and simultaneously another ball is thrown vertically upwards with a speed of 30 ms^(–1) from the foot of the building. Find the time after which both the balls will meet - (g = 10 ms^(–2))

A body of mass 2 kg is thrown vertically upwards with an initial velocity of 20 m/s. What will be its potential energy at the end of 2 s ? (Assume g = 10 m//s^(2) ).

A person standing near the edge of the top of a building throws two balls A and B. The ball A is thrown vertically upward and B is thrown vertically downward with the same speed. The ball A hits the ground with speed v_A and the ball B hits the ground wiht a speed v_B . We have

From the top of a toward of height 60 m , a ball is thrown vertically upward with speed 20 m//s . After some time, the ball strikes the ground. Sketch the v-t and s-t graph.

Two balls of different masses (one lightre an other heavier) are thrown vertically upward with same initial speed. Which one will rise to greater height ?

A ball thrown vertically upward returns to its starting point in 4 s. Find its initial speed.