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

$\huge {\underline{\pink{Given:-}}}$

• Force ,F = 20 N

• Acceleration ,a = 5m/s²

$\huge {\underline{\blue{To Find:-}}}$

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

$\huge {\underline{\purple{Solution:-}}}$

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:

force = 16N

Explanation:

we know that the is same for both cases

let us assume that the required force be f and the mass is constant,it implies that

F = m(4) since a= 4m/s2 -(eq1)

and in 2nd condition we have

20 = 5m since a= 5m/s

m= 4 kg

therefore F = 4×4 = 16 N

the required force F= 16N