Question

what force would be needed to produce an acceleration of 4m/s2 on a ball of mass 6kg?

Answer 1

Hello dear !
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Here a = 4 m/ s²
        m = 6 kg 
        F = ma  = 4X 6 
           = 24 Newton
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Answer 2

The force needed to produce the given acceleration will be 24 N.

Given,

A ball of mass = 6 kg,

acceleration = 4 m/s².

To find,

Force needed to produce given acceleration.

Solution,

The acceleration of a body produced by an applied force on the body is directly proportional to the magnitude of this force, according to Newton's second law of motion, which is given as follows.

$F= ma$     ...(1)

where,

F = force applied,

m = mass of the body,

a = acceleration produced.

Here, it is given that,

m = 6 kg,

a = 4 m/s².

So, using (1), we can determine the force required, as follows.

$\implies F = ma$

$\implies F = 6 \times 4$

⇒ F = 24 N.

Therefore, the force needed to produce the given acceleration will be 24 N.

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