A force acts for 2 seconds on a body of mass 2 kg initially at rest. Just after the force
stops to act the body moves 10 m in the next 2 seconds. Find the magnitude of the force.
Answers
Total time=2sec
Mass=2kg
Initial velocity (u)=0m/s
Final velocity (v)=Distance/Time
=10/2
=5m/s
Acceleration(a)=v-u/t
=5-0/2
=5/2m/s²
Force (F)=ma
=2×5/2
=5N (Ans)
Please mark it as a brainliest answer.
Given:
✰ Time ( t ) = 2 s
✰ Mass ( m ) = 2 kg
✰ Initial velocity ( u ) = 0 m/s
✰ Displacement ( S ) = 10 m
To find:
✠ The magnitude of the force ( F ).
Solution:
Using 3rd equation of motion,
S = ut + 1/2 at²
➯ 10 = 0 × 2 + 1/2 × a × (2)²
➯ 10 = 0 × 2 + 1/2 × a × 4
➯ 10 = 1/2 × a × 4
Now, 2 gets cancel with 4
➯ 10 = 1 × a × 2
➯ 10 = 2a
➯ a = 10/2
➯ a = 5 m/s²
Now, we know that force is the product of mass and acceleration.
F = ma
➯ F = 2 × 5
➯ F = 10 N
∴ The magnitude of the force ( F ) = 10 N
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