Question

A 55kg marathon athlete accelerates from rest to 10 m/s in 5s.How much force is needed to achieve The said velocity?​

Answer 1

We have,

Mass = 55kg

Acceleration = (v - u) / t

where,

v = Final velocity → 10m/s

u = initial velocity → 0m/s (As in rest)

t = time taken → 5s

Acceleration = (10 - 0) / 5

Acceleration = 2 m/s²

Formula of force,

Force = mass × acceleration

= 55 × 2

= 110 N

Note : SI unit of force is kgm/s² or Newton ( N )

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Answer 2

The force exerted is 110 N

GIVEN

Mass of marathon = 55 kg

Final velocity = 10 m/s

Time = 5 seconds.

TO FIND

Force is needed to achieve the said velocity.

SOLUTION

We can simply solve the above problem as follows-

We know that

F = ma

Where,

F = Force exerted.

M = mass

a = acceleration.

It is given,

The initial velocity of the marathon = 0 m/s

Final velocity = 10m/s

Time = 5 seconds.

We know that,

acceleration = change in velocity/time

= 10-0/5

$= 2 {ms}^{ - 2}$

Putting the value of acceleration in the formula of force.

F = 55 × 2

= 110 N

Hence, The force exerted is 110 N

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