Question

A body of mass 5kg is moving initially with a velocity of 40 m/s.It is subjected with a constant force which displaces it through 50 m and change its velocity to 60 m/s.The magnitude of constant force is-
1)210N
2)250N
3)100N
4)300N​

Answer 1

Given:-

• Mass of Body = 5kg

• Initial Velocity = 40m/s

• Displacement = 50m

• Final Velocity = 60m/s.

To Find:-

• The magnitude of Constant Force.

Formulae used:-

• v² - u² = 2as

• F = ma

Where,

v = Final Velocity

u = Initial Velocity

a = Acceleration

s = Distance

Now,

We will first find Acceleration

v² - u² = 2as

(60)² - (40)² = 2 × a × 50

3600 - 1600 = 100a

2000 = 100a

a = 2000/100

a = 20m/s²

Now,

F = ma

F = 5 × 20

F = 100N

Thus, The force acting on body is 100N.

Hence, The Option "2" is Correct.