Question

A light pail containing water is attached to a light rope and swung around in a vertical circle. The radius of the circular motion is 1.0 m. The water just manages to stay in the pail at the highest point of motion.


What is the linear speed of the pail at the lowest point of motion?


Select one or more:
A. 3.13 ms-1
B. 7.00 ms-1
C. 5.42 ms-1
D.
7.87 ms-1
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Which of the following statements is not true for a stone attached to a string and swung in a uniform vertical circular motion?
Select one or more:
A. The resultant acceleration is always directed towards the centre of the circle.
B. The kinetic energy of the stone is constant throughout the entire circular motion.
C. The magnitude of resultant force acting on the stone changes depending on the position of the stone in the circle.
D. The tension in the string is lowest when the stone is at the highest point of the circular motion.
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The combined mass of a race car and its driver is 600 kg. Travelling at constant speed, the car completes one lap around a circular track of radius 160 m in a total time of 36 s. What is the magnitude of the centripetal acceleration of the car?


Select one or more:
A. 100 ms-2
B. 0.17 ms-2
C. 2900 ms-2
D. 4.9 ms-2
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The clock on Big Ben has a minute hand of length 4.3 m and an hour hand of length 2.7 m. What is the ratio of the centripetal acceleration of a point on the tip of the minute hand to a point on the tip of the hour hand?


Select one or more:
A. 230
B. 5700
C. 1.6
D. 150
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A car is making a turn at speed v. The radius of the turn is r and the centripetal force on the car is F. If the car rounds the same curve at speed 2v, the required centripetal force is:



Select one:
A. 4F
B. 1/2F
C. 2F
D. F

Answer 1

Answer:a)3.13ms^-1

Explanation:the velocity at the highest point of the circular motion is (gr)^1/2

=(9.8*1.0)=9.8

=(gr)^1/2=(9.8)^1/2=3.1303 ms^-1