Question

A force F is required to produce an acceleration
of 3ms-2 on a body of mass 2 kg. What will be the
force required to produce the same acceleration
on a body of mass 8kg ?​

Answer 1

Answer:

24 is your answer

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Answer 2

Answer:

• A force F is required to produce an acceleration  of 3ms-2 on a body of mass 2 kg will be $6\ N$

• The  force required to produce the same acceleration  on a body of mass 8kg will be  $0.75\ m/s^{2}$

Step-by-step explanation:

According to Newton's second law of motion,

Force applied (F) will be the product of the mass of the object and its acceleration.

It can be expressed as,

$F = ma$   ...(1)

Where m- the mass of the object and

            a - acceleration

By rearranging the above equation,

$a = \frac{F}{m}$ ...(2)

In the question, it is given that,

$m = 2\ kg$

$a = 3\ m/s^{2}$

Substitute these values into equation(1),

$F = 2\times 3 = 6 N$

If the same force acts on another body,

$m = 8\ kg$    $F = 6\ N$

Using equation (2),

$a = \frac{6}{8} = 0.75\ m/s^{2}$