Question

A body acted by a force 20N travels a distance 2m is 5s . what is the mass of the body​

Answer 1

Given :-

Force applied on the body = 20 N

Distance covered by the body = 2 m

Time taken by the body = 5 sec

Initial velocity of the body = 0 m/s

To Find :-

Mass of the body.

Analysis :-

Here we are given with force, displacement, time and the initial velocity of the body.

Firstly, using the second equation of motion find the acceleration accordingly by substituting the given values in the question.

Then using the formula of force, you can easily find the force applied.

Solution :-

We know that,

• s = Displacement
• t = Time
• u = Initial velocity
• a = Acceleration

Using the formula,

$\underline{\boxed{\sf Second \ equation \ of \ motion=s=ut+\dfrac{1}{2} at^2}}$

Given that,

Displacement (s) = 2 m

Initial velocity (u) = 0 m/s

Time (t) = 5 sec

Substituting their values,

$\sf 2=0 \times 5 + \dfrac{1}{2} \times a \times 5^2$

$\sf 2=0+\dfrac{5 \times 5 \times a}{2}$

$\sf 2=\dfrac{25a}{2}$

$\sf 25a =2 \times 2$

$\sf 25a=4$

$\sf a=\dfrac{25}{4} \ m/s$

We know that,

• f = Force
• a = Acceleration
• m = Mass

Using the formula,

$\underline{\boxed{\sf Force=Mass \times Acceleration}}$

Given that,

Force (f) = 20 N

Acceleration (a) = 25/4 m/s

Substituting their values,

$\sf 20=m \times \dfrac{25}{4}$

$\sf m=\dfrac{25 \times 20}{4}$

$\sf m=25 \times 5$

$\sf m=125 \ kg$

Therefore, the mass of the body is 125 kg.

Answer 2

Answer:-

$\small \bf \underline{Given:}$

★★ Distance travelled by the body = 2m

★★ Time taken by the body to cover the distance = 5s

★★ Force applied on the body = 20N

★★ Initial velocity = 0 m/s

$\small \bf \underline{To \: find:}$

We need to find the Mass of the body

$\small \bf \underline{Solution:}$

$\bf \: velocity = \frac{displacement}{change \: in \: time}$

$\bf = \frac{2}{5}$

$\bf = 0.4 \: m/s$

$\bf \: acceleration = \frac{velocity - initial \: velocity}{time}$

$\bf= \frac{0.4 - 0}{5}$

$\bf= 0.08 \: m/ {s}^{2}$

$\bf \: force = mass \times acceleration$

$\bf \implies \: mass = \frac{20}{0.08}$

$\bf \implies \: mass = 250kg$

Answer: Mass of the body is 250kg

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