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A 6.8 kg ball is swinging through the air at constant velocity. The tension is 67 N.

Find the acceleration and label the gravitational force.

Answer :

Final answer:

The ball moving through the air at a constant velocity implies its acceleration is 0 m/s². The gravitational force on the ball, calculated as mass times the gravitational acceleration, is approximately 66.64 N acting downwards.

Explanation:

The ball is moving at a constant velocity, which means the acceleration is 0 m/s². This is because the definition of acceleration is the rate of change of velocity. For the gravitational force, it is calculated by the product of the mass times the gravitational acceleration. For objects near the Earth's surface, the gravitational acceleration is approximately 9.8 m/s². Thus, the gravitational force (F) acting on the ball is given by F=mg, hence F=6.8 kg * 9.8 m/s² = 66.64 N. This force is acting downwards. It should be noted that the tension mentioned in the problem (67 N) would hence be the force counteracting this gravitational force to keep the ball in uniform motion.

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