A constant force of magnitude 50 N is applied to a body of 10 kg moving initially with a speed of 10 m s–1. How long will it take the body to stop if the force acts in a direction opposite to its motion?
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Retarding force,
F = –50 N
Mass of the body,
m = 10 kg
Initial velocity of the body,
u = 10 m/s
Final velocity of the body,
v = 0
Using Newton’s second law of motion, the acceleration (a) produced in the body can be calculated as:
F = ma
=> –50 = 10 × a
=> a= -50/10 = -5 m/s^2
Using the first equation of motion, the time (t) taken by the body to come to rest can be calculated as:
v = u + at
=> t= -u/a = -10/-5= 2 sec.
I hope, this will help you
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