A stationary object is pushed with a force of 400N for 8s, resulting in its having a final velocity of 24m/s. What is its mass?

The mass of the object is 133.33 kg

Explanation:

From Newton's second law of motion

F = ma

Where F is the force

m is the mass

and a is the acceleration

From the question,

A stationary object is pushed with a force of 400N, that is F = 400N. To determine the mass of the object,

First, we will determine the acceleration.

From one of the equations of kinematics for linear motion,

v = u + at

Where v is the final velocity

u is the initial velocity

a is the acceleration

and t is time

We  can write that

v - u = at

Then, a = (v - u) / t

From the question,

t = 8s

v = 24m/s

u = 0 m/s (Since the object was stationary, that is, it was pushed from rest)

∴ a = (24m/s - 0m/s) / 8s

a = 24 / 8 = 3 m/s²

Therefore, acceleration is 3 m/s²

Now,

From F = ma

m = F / a

From the question

F = 400N

∴ m = 400N / 3m/s²

m = 133.33 kg

Hence, the mass of the object is 133.33 kg.  

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