Question

The time taken by a net force of 10 N to change the velocity by 4 m/s of a body of mass 10 kg is:

• A. 4 s
• B. 6 s
• C. 8 s
• D. 2 s

Hint:

The time taken to change the velocity can be calculated using the equation \( t = \frac{\Delta v}{a} \), where \( \Delta v \) is the change in velocity and \( a \) is the acceleration.

Answer 1

The Correct Option is A

We use Newton's second law to find the acceleration of the body: \[ F = m \cdot a \quad \Rightarrow \quad a = \frac{F}{m} = \frac{10}{10} = 1 \, \text{m/s}^2 \] Now, using the equation of motion: \[ \Delta v = a \cdot t \quad \Rightarrow \quad t = \frac{\Delta v}{a} = \frac{4}{1} = 4 \, \text{seconds} \] Therefore, the time taken is 4 seconds.