a stone is thrown vertically upwards with a velocity of 40 metre per second at what height will its kinetic & potential energy be equal (b) calculate p.e. of the body if its mass is 10kg
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Initial velocity (u) = -40 m/s
Final velocity (v) = 0 m/s
Acceleration (g) = -10 m/s2
Therefore distance travelled by it,
2as = v2-u2
2(-10)(s) = 02 – (-40)2
-20s = -1600
s = 1600/20
s= 80 m
Therefore, distance covered by the body would be = 80 m
(a) at half distance the kinetic energy and the potential energy would be the same
I.e. in 80/2 = 40 m
In 40 m kinetic and potential energy would be the same.
(b) Mass = 10 kg
Height = 80 m
Acceleration = -10 m/s2
Potential energy = mgh
= 10 . -10 . 80
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