Question

A man pushes a box of mass 50 kg with a force of 80N.What will be the box due due to this force?What would be the acceleration if the mass were doubled?

Answer 1

Appropriate Question:

A man pushes a box of mass 50 kg with a force of 80N.What will be acceleration of the box due to this force? What would be the acceleration if the mass were doubled ?

Required Answer:

Given:

• Mass of the object (m) → 50 kg

• Force applied (F) → 80 N

To calculate:

• Acceleration of the box due to this force (a).

• Acceleration if the mass were doubled.

Calculation:

Acceleration of the box due to this force (a)

→ Here,

• Force (F) = 80 N
• Mass (m) = 50kg

So, we know that :

• F = ma

Where,

● F = force

● m = ma

● a = acceleration

$\longrightarrow$ 80 = 50 × a

$\longrightarrow$ 80 = 50a

$\rm { \longrightarrow a = \dfrac{80}{50}}$

$\rm { \longrightarrow a = \dfrac{8}{5}}$

$\rm \red { \longrightarrow a = 1.6 \: m/{s}^{2} }$

Therefore, acceleration of the box due to this force is $\bf { 1.6 \: m/{s}^{2} }$ .

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Now,

Acceleration if the mass were doubled.

Here,

As the mass were doubled , so

• New mass (m) = 2 × 50 = 100 kg

[Mass is already given in the question (50kg) .]

• Force (F) = 80 N

So, as we know that:

• F = ma

Where,

● F = force

● m = ma

● a = acceleration

$\longrightarrow$ 80 N = 100 × a

$\rm { \longrightarrow a = \dfrac{80}{100}}$

$\rm { \longrightarrow a = \dfrac{8}{10}}$

$\rm \red { \longrightarrow a = 0.8 \: m/{s}^{2} }$

Therefore, acceleration if the mass were doubled is $\bf { 0.8 \: m/{s}^{2} }$ .

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Answer 2

We have,

Mass of Object = 50 kg

Constant forcce = 80 N

We know,

a = F/m

⇒ a = (80 kg m/s²)/(50 kg) = 8/5 m/s²

⇒ a = 1.6 m/s² (1)

Now, mass = 50 kg × 2 = 100 kg

⇒ a = (80 kg m/s²)/(100 kg) = 0.8 m/s². (2.)

[Keep in mind, that a ∝ 1/m; that is, if mass is doubled, acceleration will be decreased by half. So you can calculate the acceleration in mind faster!]