force required in accelerating a 3 kilo mass 5 metre per second and 4 kilo was at 4 metre per second will be
Answers
Answer:
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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}a=5 m/s
2
Second case:
Mass, m = 4 kg
Acceleration, a =2 \ \mathrm{m} / \mathrm{s}^{2}a=2 m/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}Force=Mass×Acceleration
\text{Force} =\mathrm{m} \times \mathrm{a}Force=m×a
For the first case,
\mathrm{F}=2 \times 5F=2×5
F = 10 \ NF=10 N
For the second case,
\mathrm{F}=4 \times 2F=4×2
F = 8 \ NF=8 N
So, the first case has greater force required than the second case.