Question

Which would require a greater force accelerating a 1 kg mass at 4 m/s2 or a 3 kg mass at
2 m/s2​

Answer 1

Explanation:

Given:

Two different mass and acceleration are given.

To Find:

Whose force is greater = ?

Solution :

We know,

$\boxed{\sf{} f = ma}$

where,

f is the force applied

m is the mass of the object

a is the acceleration

To find whose force would be greater we will solve them speratley by the above formula

Case I

$\Rightarrow \sf{}1kg \times 4m/s^{2}$

$\Rightarrow \sf{}4N$

Case II

$\Rightarrow \sf{}3kg \times 2m/s^{2}$

$\Rightarrow \sf{}6N$

Therefore, mass of 3kg with acceleration of 2m/s^2 would require greater force.

Answer 2

We know,

F = m × a

Computing the force required by the object of mass 1 kg:-

m = 1 kg

a = 4 m/s²

$\therefore$ F1 = (1 kg)(4 m/s²)

$\longrightarrow$ F1 = 4 N

C imputing the force required by the object of mass 3 kg:-

m = 3 kg

a = 2 m/s²

$\therefore$ F2 = (3 kg)(2 m/s²)

$\longrightarrow$ F2 = 6 N

By observation,

F1 < F2

$\therefore$ Mass of 3 kg having acceleration of 2 m/s² will receive a greater magnitude of force.