Question

which would require a greater force accelerating a 2kg Mass at 5m/s or a 4kg mass at 2m/s

Answer 1

1.

FORCE= mass x acceleration

2 x 5 = 10 N

2.

FORCE=mass x acceleration

4 x 2 = 8 N

force of (1) is more

so (1)will require a greater force...

Answer 2

Answer:

First case has greater force required than the second case.

Given:

First case:

Mass, m = 2 kg

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

Second case:

Mass, m = 4 kg

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

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,

$\mathrm{F}=2 \times 5$

$F = 10 \ N$

For the second case,

$\mathrm{F}=4 \times 2$

$F = 8 \ N$

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