Question

A body of mass 500kg started from rest and covered a distance of 100 m in 5s. Then
find force experienced by the body.​

Answer 1

Given

A body of mass 500 kg started from rest and covered a distance 100 m in 5 s

To Find

Force experienced by the body

Solution

1. Calculating Acceleration

We know that

Equation of motion

$\rm \longrightarrow s=ut+\dfrac{1}{2}at^{2}$

Here

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

Units

• s = metre (m)
• u = metre/second (m/s)
• a = metre/square second (m/s²)
• t = second (s)

Given that

A body of mass 500 kg started from rest and covered a distance of 100 m in 5 s

Hence

• s = 100 m
• u = 0 m/s [starts from rest]
• t = 5 s

Substituting the values

We get

$\rm \longrightarrow 100=0 \times 5+\dfrac{1}{2} \times a \times 5^{2}$

$\rm \longrightarrow 100=\dfrac{1}{2} \times a \times 25$

$\rm \longrightarrow 2 \times 100=25a$

$\rm \longrightarrow 25a=200$

$\rm \longrightarrow a=\dfrac{200}{25} \ m/s^{2}$

Hence

$\rm \longrightarrow a=8 \ m/s^{2}$

2. Calculating force

We know that

Newton's second law

$\rm \longrightarrow F=ma$

Here

• F = Force
• m = Mass
• a = Acceleration

Units

• F = Newton (N)
• m = kilogram (kg)
• a = metre/square second (m/s²)

According to the question

We are asked to find the force experienced by the body

Therefore

We must find "F"

Given that

A body of mass 500 kg started from rest and covered a distance of 100 m in 5 s

Hence

• m = 500 kg

We found that

• a = 8 m/s²

Substituting the values

We get

$\rm \longrightarrow F=500 \times 8 \ N$

Therefore

$\rm \longrightarrow F=4000 \ N$

Hence

Force experienced by the body = 4000 N