Question

What force will change the speed of a body of mass 1 kg from 20 m/s to 30 m/s in 2 second?​

Answer 1

Anѕwєr :

5N

Explαnαtion :

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

• Mass of the body (m) = 1 kg
• Initial velocity (u) = 20 m/s
• Final velocity (v) = 30 m/s
• Time taken (t) = 2 s

We've been asked to calculate force.

In order to calculate force, firstly we need to calculate acceleration. Acceleration is the rate of change in velocity.

$\dashrightarrow \quad \rm { Acceleration = \dfrac{Change \; in \; Velocity}{Time} }$

$\dashrightarrow \quad \rm { Acceleration = \dfrac{Final \; velocity - Initial - velocity}{Time} }$

$\dashrightarrow \quad \rm { a = \dfrac{v - u}{t} }$

Now, substitute the values.

$\dashrightarrow \quad \rm { a = \dfrac{30 - 20}{2} \; m \: s^{-2} }$

$\dashrightarrow \quad \rm { a = \cancel{\dfrac{10}{2}} \; m \: s^{-2} }$

$\dashrightarrow \quad \boxed{\rm { a = 5 \; m \: s^{-2} }}$

Now, as we know that force is defined as the product of mass and acceleration. So,

⇒ Force = Mass × Acceleration

⇒ F = 1 kg × 5 m/s²

⇒ F = 5 kg.m/s²

⇒ F = 5 N

Therefore, 5 N of force will change the speed of a body of mass 1 kg from 20 m/s to 30 m/s in 2 second.

$\rule{200}2$

Answer 2

Explanation:

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