An object of mass 16 kg moves with an acceleration of $3 m / s^{2}$ . Calculate the force acting on it. If the same force is applied to another object of mass 24 kg, what will be the acceleration ?

48 N, 3 m / s^{2}

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45 N, 2 m / s^{2}

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48 N, 2 m / s^{2}

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48 N, 5 m / s^{2}

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Solution

The correct option is D $48 N, 2 m / s^{2}$
Given,
$m = 16 k g$

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

$F o r c e = m a = 16 \times 3 = 48 N$

Again,

$m = 24 k g$

$F = 48 N$

$F = m a$

$\Rightarrow a = \frac{F}{m} = \frac{48}{24} = 2 m / s^{2}$

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Similar questions

Solve the following examples:

(1) An object of mass 16 kg moves with an acceleration of 3 m/s². Calculate the force acting on it. If the same force is applied to another object of mass 24 kg, what will be the acceleration?

[Ans : 48 N, 2 m/s²]

(2) A bullet of mass 10 g moving with velocity of 1.5 m/s hits a thick wooden plank of mass 90 g. The plank is initially at rest, but when it gets hit by the bullet, the bullet remains in the plank and both move with a certain speed. Calculate the speed with which plank containing the bullet moves?

[Ans : 0.15 m/s]

An object moves with an acceleration of $3 \frac{m}{s^{2}}$ when a force of 30 N is applied. The mass of the body is ___ kg.

Q. What force is required to produce an acceleration of

3 m / s^{2}

in an object of mass

0.7 k g

Q. A constant force of

5 N

can produce an acceleration of

1 m / s^{2}

on the body of mass m and

2 m / s^{2}

on the body of mass 2m. If both the bodies are tied together and same force is applied, then what will be the acceleration of the system?

Q. Two bodies of masses

4

kg and

5

kg are acted upon by the same force if acceleration of lighter body is

3 m / s^{2}

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An object of mass 16 kg moves with an acceleration of 3m/s2. Calculate the force acting on it. If the same force is applied to another object of mass 24 kg, what will be the acceleration ?

The correct option is D 48N,2m/s2Given,m=16kga=3m/s2Force=ma=16×3=48N Again, m=24kgF=48NF=ma⇒a=Fm=4824=2m/s2

An object of mass 16 kg moves with an acceleration of $3 m / s^{2}$ . Calculate the force acting on it. If the same force is applied to another object of mass 24 kg, what will be the acceleration ?

The correct option is D $48 N, 2 m / s^{2}$
Given,
$m = 16 k g$

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

$F o r c e = m a = 16 \times 3 = 48 N$

Again,

$m = 24 k g$

$F = 48 N$

$F = m a$

$\Rightarrow a = \frac{F}{m} = \frac{48}{24} = 2 m / s^{2}$