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The kinetic energy of an object of mass, m moving with a velocity of 5m//s is 25J. What will be its kinetic energy when its velocity is double? What will be its Kinetic energy when its velocity is increased three times. When its velocity is increased three times.

Answer»

Solution :K.E. of the object = 25 J
Velocity of the object = 5 m/s
K.E = `1/2 mv^(2)`
m = `2 xx (K.E) / v^(2)`
m = `2 xx (25)/(25) =` 2 KG
If the velocity is double, `v=2xx5 =` 10m/s
Therefor K.E (for v = 10 m/s) = `1/2 m^(2)`
`= 1/2 xx 2x 100 = 100 J`
If the velocity is tripled, `v = 3 xx 5` = 15 m/s
Therefor K.E ( for v = 10 m/s) = `1/2 mv^(2)`
= `1/2 xx 2x 225 = 225 J`


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