Question

A body of mass 10 kg is moving with a velocity of 100 m/s. Find the force needed to stop it in 5 seconds.


Give correct answer.​

Answer 1

Answer:

-200 N

Explanation:

As per the provided information in the given question, we have :

• Mass of the body (m) = 10 kg
• Initial velocity (u) = 100 m/s
• Time taken (t) = 5 seconds
• Final velocity (v) = 0 (As it stops)

We are asked to calculate the force need to stop it.

In order to calculate force, we need to calculate the acceleration first.As we know that,

→ a = $\sf \dfrac{v - u}{t}$

• a denotes acceleration
• v denotes final velocity
• u denotes initial velocity
• t denotes time

→ a = $\sf \dfrac{0-100 }{5}$

→ a = $\sf \dfrac{-100 }{5}$

→ a = $\sf -20 \; m/s^2$

Therefore, the acceleration is $\bf -20 \; m/s^2$.

Now, finding force applied.

★ F = ma

• F denotes force
• m denotes mass
• a denotes acceleration

→ F = 10 × (-20) N

→ F = -200 N

Therefore, force needed to stop it is -200N. Negative sign implies that it should be applied in the opposite direction.