A ball with a mass of 4·kg is moving in a vertical circle at the end of a 0.9·m long rope. When the ball is at the top of the circle, it is going 7·m/s. What is the tension in the rope? (Again...don't need the answer...just the formula on how to find tension...already understand net force and centripetal acceleration...any help)??
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To find the tension in the rope, you can use the concept of centripetal force. The centripetal force is the force that keeps an object moving in a circular path. In this case, the tension in the rope is the centripetal force acting on the ball.
The formula to calculate the tension in the rope is:
Tension = (mass of the ball) * (centripetal acceleration)
The centripetal acceleration of an object moving in a circle can be calculated using the equation:
Acceleration = (velocity^2) / (radius of the circle)
In this scenario, the ball has a mass of 4 kg, a velocity of 7 m/s at the top of the circle, and is moving in a vertical circle with a radius of 0.9 m.
To find the tension, follow these steps:
1. Calculate the centripetal acceleration using the equation:
Acceleration = (7 m/s)^2 / 0.9 m
2. Substitute the value of the centripetal acceleration into the tension formula:
Tension = (4 kg) * (acceleration found in step 1)
By plugging in the values and performing the necessary calculations, you can determine the tension in the rope.