Question

A man pushes a box of 50 KG with a force of 80 newton. What will be the acceleration of the box, what would be the acceleration if mass were halved?
Question is of 50 points please answer correctly

Answer 1

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

$:\implies\sf{80 = 50 × a}$

$:\implies\sf{ 80 = 50a }$

$\rm { :\implies \: a = \dfrac{80}{50}}$

$\rm { :\implies \: a = \dfrac{8}{5}}$

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

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

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

$:\implies\sf{80 N = 100 × a}$

$\rm { :\implies\: a = \dfrac{80}{100}}$

$\rm { :\implies\: a = \dfrac{8}{10}}$

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

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

Answer 2

$\large \dag$ Question :-

A man pushes a box of 50 KG with a force of 80 newton. What will be the acceleration of the box, what would be the acceleration if mass were halved ?

$\large \dag$ Answer:-

$\red \dashrightarrow\sf{ \green{Acceleration \: of \: block \: is \:1.6 \: m/s {}^{2} }}$

$\red \dashrightarrow\sf{ \green{ \underline{ \underline{Acceleration \: of \: block }}}}$

$\: \: \:\: \: \:\green{ \underline{ \underline{\sf{ if \: \: mass \: \: is \: \: halved \: \: is \:0.8 \: \: m/s {}^{2} }}}}$

$\large \dag$ Step by Step Explanation :-

Now, In first Condition ;

• Mass of block = m = 50 kg

• Force Applied = F = 80 N

• Let Acceleration be = a m/s²

We have the relationship between Force, Mass and Acceleration as :

$\red \bigstar \: \: \: \frak{\large\orange{\underbrace{ \underline{ \blue{ \pmb{ \text F=ma}}}}}}$

$\large \leadsto$ Applying Above relation :

$:\longmapsto \rm80 = 50 \times a$

$:\longmapsto \rm80 = 50a$

$:\longmapsto \rm a = \frac{80}{50}$

$:\longmapsto \rm a = \frac{8}{5}$

$\purple{ \large :\longmapsto \underline {\boxed{{\bf a = 1.6} }}}$

So Acceleration of Block is 1.6 m/s²

Now when mass is halved :-

So In this Condition

• Mass of block = m' = 35 kg

• Force Applied = F = 80 N

• Let Acceleration be = a' m/s²

We have the relationship between Force, Mass and Acceleration as :

$\red \bigstar \: \: \: \frak{\large\orange{\underbrace{ \underline{ \blue{ \pmb{ \text F=ma}}}}}}$

$\large \leadsto$ Applying Above relation :

$:\longmapsto \rm80 = 25 \times a'$

$:\longmapsto \rm80 = 25a'$

$:\longmapsto \rm a' = \frac{80}{25}$

$:\longmapsto \rm a '= \frac{16}{5}$

$\purple{ \large :\longmapsto \underline {\boxed{{\bf a' = 0.8} }}}$

So Acceleration of Block is 0.8 m/s²