Question

Calculate the force required to accelerate a 600 g ball from rest to 14 m/s in 0.1 s.

Answer 1

Statement:

A force is required to accelerate a 600 g ball from rest to 14 m/s in 0.1 s.

To find out:

The force required to accelerate the ball.

Solution:

• Mass of the ball (m) = 600 g = 0.6 Kg
• Initial velocity (u) = 0 m/s [it was at rest]
• Final velocity (v) = 14 m/s
• Time (t) = 0.1 s

• Let the acceleration be a.
• We know the equation of motion,
• v = u + at

• Therefore, putting the values in the above formula, we get
• 14 m/s = 0 m/s + a × 0.1 s
• or, 14 m/s ÷ 0.1 s = a
• or, a = 140 m/s²

• Let the force be F.
• We know, the formula : F = ma

• Putting the values in the above formula, we get
• F = 0.6 Kg × 140 m/s²
• or, F = 84 N

Answer:

The force required to accelerate the ball is 84 N and this force acts along the direction of motion.

Hope you could understand.

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