200n force is applied on a body of mass 25kg . how much time will the body take to travel 64m from rest?
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11
Answer:
since the object starts from rest we take Initial Velocity to be 0 m/s. But time cannot be negative. Hence + 4 is the answer. Hence the body takes 4 seconds to cover a displacement of 64 m with mass 25 kg
Explanation:
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Answered by
10
Initial Velocity (u) = 0m/s
Distance Travelled (S) = 64 m
Time taken (t) = unknown
Force (F) = 200N
Mass (m) = 25kg
But, Force = Mass×(Acceleration)
F = m×a
200N = 25kg × a
a = 200/25
a = 8 m/s
Using the relation:
S = ut + 1/2 at^2
=> 64 = 0(t) + 1/2(8)(t^2)
=> 64 = 4t^2
=> t^2 = 16
=> t = 4sec
Hence, time taken to cover 64m by the body is:
t = 4 seconds.
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