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Question -

A constant force acting on a body of mass3.0 kg changes its speed from 2.0 m s–1 to 3.5 m s–1 in25 s. The direction of the motion of the body remains unchanged. What is themagnitude and direction of the force?



Answer -

0.18N; in the direction of motion of the body

Mass of the body, m = 3 kg

Initial speed of the body, u =2 m/s

Final speed of the body, v =3.5 m/s

Time, t = 25 s

Using the first equation of motion, theacceleration (a) produced in the body can be calculated as:

v = u + at

Asper Newton’s second law of motion, force is given as:

F = ma

=3 × 0.06 = 0.18 N

Sincethe application of force does not change the direction of the body, the netforce acting on the body is in the direction of its motion.

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