At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball's acceleration is 900 m/s^2 and the vertical or y component of its acceleration is 870 m/s^2. The ball's mass is 0.31 kg. What is the magnitude of the net force acting on the soccer ball at this instant?

Question

Physics

Beckett Campbell

2 February, 15:15

At an instant when a soccer ball is in contact with the foot of the player kicking it, the horizontal or x component of the ball's acceleration is 900 m/s^2 and the vertical or y component of its acceleration is 870 m/s^2. The ball's mass is 0.31 kg. What is the magnitude of the net force acting on the soccer ball at this instant?

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Answers (1)

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Andrew Russell · Answer 1

390 N

Explanation:

The net acceleration is:

a² = aₓ² + aᵧ²

a² = (900 m/s²) ² + (870 m/s²) ²

a = 1250 m/s²

So the net force is:

F = ma

F = (0.31 kg) (1250 m/s²)

F = 390 N