Question

A force causes an acceleration of 10 m/s-2

in a body of mass 500 g. What acceleration will becaused

by the same force in a body of mass 5 kg?​

Answer 1

$\huge{\purple{\mid{\boxed{αnѕωєr}\:{\mid}}}}$

$We,\:know\:that..... \\F=ma\\F=0.5×10\\=5N\\Now,\:mass = 5kg\\F=ma\\a = \frac{f}{m}\\a = \frac{5}{5}\\a = 1m /{s}^{2}$

So, answer is $\large{\boxed{1\:m/s^2}}$.

Answer 2

Given data :-

• A force causes an acceleration of 10 m/s² in a body of mass 500 g.

• The same force in a body of mass 5 kg.

To find :-

• What acceleration will becaused by the same force in a body of mass 5 kg ?

Solution :-

According to given

→ Mass of first body = 500 kg

→ An acceleration of first body = 10 m/s²

→ Mass of second body = 5 kg

Here, we need to find a force which act on a body of mass 500 g.

Now, we convert a body of mass 500 g into kg.

→ 500 g = {500/1000} kg = 0.5 kg

Now we use formula of force

→ force = mass × acceleration

→ force = 0.5 × 10

→ force = 5 N

According to given

To find acceleration by the same force in a body of mass 5 kg.

→ force = mass × acceleration

→ 5 = 5 × acceleration

→ acceleration = 5/5

→ acceleration = 1 m/s²

Hence, 1 m/s² acceleration is act on body of mass 5 kg.

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