Question

Force required in accelerating a 3 kg mass at 5 m/s2 and a 4 kg mass at 4 m/s2, will be

Answer 1

Explanation:

F=ma

case1

F=3×5=15N

case 2

F=4×4=16N

Answer 2

First case:

Mass, m = 3 kg

Acceleration, $5 \ \mathrm{m} / \mathrm {s}^{2}$

Second case:

Mass, m = 4 kg

Acceleration, $4 \ \mathrm{m} / \mathrm {s}^{2}$

Solution:

The force is measured product of mass and acceleration so the force is directly dependent upon the mass of the body as well as the acceleration. So, the greater force required is compared by calculating force on each as follows,

$\text{Force} = \text{Mass} \times \text{Acceleration}$

$\text{Force} =\mathrm{m} \times \mathrm{a}$

For the first case,

$\mathrm{F}= 3 \times 5$

$F = 15N$

For the second case,

$\mathrm{F}=4 \times 4$

$F = 16 N$

So, the first case has greater force required than the second case.