A constant force of magnitude 50N is applied on a body of mass 10kg moving initi initially with a speed of 10ms-1 against the direction of motion. How long will it take the body to come to rest?
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answer : 2 sec
explanation : according to Newton's 2nd law,
force is the product of mass and acceleration.
so, F = ma
here, F = 50N , m = 10kg
so, 50 = 10a => a = 5 m/s²
given, initial velocity of body, u = 10m/s
final velocity of body, v = 0 m/s [ because, finally body comes to rest ]
acceleration, a = -5 m/s² [ actually force acts against the motion so, acceleration will be negative ]
use formula, v = u + at
or, 0 = 10 - 5t
or, t = 2s
hence, body will take 2 sec to come to rest.
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