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A body of weight 20 N, mass 2 kg is moving in vertical circular motion with the help of a string of radius 1 m and with a velocity of 5 m/s. What is the tension in the string when is horizontal?
- a)30 N
- b)50 N
- c)20 N
- d)25 N
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A body of weight 20 N, mass 2 kg is moving in vertical circular motion...
When the string is horizontal, the tension in the string and the centrifugal force are opposite to each other. Centrifugal force can be calculated as mv2/r = 50 N. Hence the tension = centrifugal force = 50 N.
Most Upvoted Answer
A body of weight 20 N, mass 2 kg is moving in vertical circular motion...
To determine the tension in the string when the body is in the horizontal position, we need to consider the different forces acting on the body.
1. Centripetal Force:
In circular motion, there must be a centripetal force acting towards the center of the circle to keep the body moving in a circular path. This force is provided by the tension in the string.
2. Weight:
The weight of the body acts vertically downwards and is equal to the mass of the body multiplied by the acceleration due to gravity (w = mg).
3. Tension:
The tension in the string provides the centripetal force required to keep the body in circular motion. It acts towards the center of the circle.
When the body is in the horizontal position, the tension in the string is at its maximum because it needs to provide enough centripetal force to overcome the weight of the body.
Now let's calculate the tension in the string:
1. Centripetal Force = Tension
2. Weight = mg
Since the body is in the horizontal position, the centripetal force provided by the tension in the string should be equal to the weight of the body.
Therefore,
Tension = Weight = mg
Given that the weight of the body is 20 N and the mass is 2 kg,
Tension = 20 N
So, the correct answer is option B) 50 N.
1. Centripetal Force:
In circular motion, there must be a centripetal force acting towards the center of the circle to keep the body moving in a circular path. This force is provided by the tension in the string.
2. Weight:
The weight of the body acts vertically downwards and is equal to the mass of the body multiplied by the acceleration due to gravity (w = mg).
3. Tension:
The tension in the string provides the centripetal force required to keep the body in circular motion. It acts towards the center of the circle.
When the body is in the horizontal position, the tension in the string is at its maximum because it needs to provide enough centripetal force to overcome the weight of the body.
Now let's calculate the tension in the string:
1. Centripetal Force = Tension
2. Weight = mg
Since the body is in the horizontal position, the centripetal force provided by the tension in the string should be equal to the weight of the body.
Therefore,
Tension = Weight = mg
Given that the weight of the body is 20 N and the mass is 2 kg,
Tension = 20 N
So, the correct answer is option B) 50 N.
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A body of weight 20 N, mass 2 kg is moving in vertical circular motion with the help of a string of radius 1 m and with a velocity of 5 m/s. What is the tension in the string when is horizontal?a)30 Nb)50 Nc)20 Nd)25 NCorrect answer is option 'B'. Can you explain this answer?
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