Question

A constant force of $100N$ acts on the body for $8s$ for changing its momentum. The change of momentum of the body is ______ newton second.

• A. 400
• B. 800
• C. 200
• D. 100

Answer 1

The correct option is B

800

Explanation

Step 1: Given data

$$\begin{gathered} Force\left(F\right)=100N \\ Changeintime(∆t)=8s \end{gathered}$$

Step 2: Finding the change of momentum of the body

1. According to Newton's second law of motion, the rate of change of momentum is directly proportional to applied force.
2. Therefore, $F=\frac{∆p}{∆t}$, where $∆p$is the change in momentum.

$∆p=F\times ∆t$

$∆p=100\times 8=800Ns$.

The change of momentum of the body is 800 Newton second.

Hence, option (B) is the correct answer.