Question

how much force is needed to produce an acceleration of 4m/s2 in a body if force of 20N produced an acceleration of 5m/s2 in the body​

Answer 1

Given:-

• Force ,F = 20 N

• Acceleration ,a = 5m/s²

To Find:-

• Force is needed to produce an acceleration of 4m/s².

Solution:-

Firstly we calculate the mass of body using given condition.

As we know that Force is the product of mass and acceleration.

• F = ma

where,

F is the Force

m is the mass

a is the acceleration

Substitute the value we get

→ 20 = m × 5

→ m = 20/5

→ m = 4 kg

Mass of body is 4 kg.

Now, calculating the Force.

• F' = ma

Substitute the value we get

→ F = 4 × 4

→ F = 16 N

Therefore, the force required to produce an acceleration of 4 m/s² is 16 Newton .

Answer 2

Answer:

$\huge \tt \: Given$

• Acceleration (A) = 4 m/s²
• Force (F) = 20 N

$\huge \tt \: To \: find$

Acceleration produced of 5m/s² in the body

$\huge \tt \: Solution$

We shall first find its mass

$\huge \bf \: F \: = ma$

$\sf \: 20\: = m \times 5$

$\sf \: 20 = 5m$

$\sf \: m \: = \dfrac{20}{5}$

$\sf \: m \: = 4$

Now,

We will find force applied

$\sf \: f \: = 4 \times 4$

$\sf \: f \: = 16 N$