A force of 10 N acts on a body of 2 kg for 3 seconds. Find the kinetic energy acquired by the body in 3 seconds.
Answers
Answered by
6
F= ma
so, a= f/m
= 10/2
= 5 m/s²
u= 0
a= (v-u)/t
⇒at = v-u
⇒at+u=v
⇒v=at+u
⇒v=5*3+0
⇒v= 15 m/s
K.E. = 1/2(mv²)
= (1/2*(2*15*15)
= 15*15
= 225 joule.
So, the energy applied in one second is 225 J
So, the total energy applied in 3 seconds = (225*3) J
= 675 J.
Answered by
13
⏩ Here, F= 10 N, m= 2 kg, t= 3s
We know that , Acceleration, a= F/m
= 10/2 = 5 m/s²
Velocity of the body after 3s,
v= u + at
= 0 + 5 × 3 = 15 m/s
Therefore,
K.E. of the body after 3:-
K.E= 1/2 mv²
= 1/2 × 2 × (15)² = 225 J. Ans.
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