Circular motion and gravitation Quiz 1

Question 1

Medha was driving her car around a park having a radius of $$300	ext{ }km$$ with a velocity measured as $$10	ext{ }m{{s}^{-1}}$$. The mass of the car has been found to be $$600	ext{ }kg$$. What will be the centripetal force felt by the car during this time interval?

Accepted Answer

$$200	ext{ }N$$

Answer

$$100	ext{ }N$$

Answer

$$150	ext{ }N$$

Answer

$$500	ext{ }N$$

Question 2

A body is found to be undergoing a circular motion where the radial acceleration is found to be $$8	ext{ }m{{s}^{-2}}$$ and the tangential acceleration has been given as $$6	ext{ }m{{s}^{-2}}$$. Calculate the resultant acceleration of the body? Find out the ratio of between this acceleration and the acceleration due to gravity?

Accepted Answer

$$10	ext{ }m{{s}^{-2}},1.02$$

Answer

$$10	ext{ }m{{s}^{-2}},1.5$$

Answer

$$9	ext{ }m{{s}^{-2}},0.92$$

Answer

$$100	ext{ }m{{s}^{-2}},10.2$$

Question 3

The acceleration due to gravity at a small height has been found to be $$7.35	ext{ }m{{s}^{-2}}$$. Find out the height at which this acceleration is found. $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/e31b80f6-7d5a-4cf9-9d98-6e9c36b0e8188606606743529920971.png"/>

Accepted Answer

$$800	ext{ }km$$

Answer

$$1500	ext{ }km$$

Answer

$$500	ext{ }km$$

Answer

$$1600	ext{ }km$$

Question 4

The centripetal force of a car having a mass of $$1000\,kg$$ moving around a roundabout is found to be $$360\,N$$. The radius of the path covered is found to be $$10\,km$$. What will be the time taken by the car to complete one complete rotation around this roundabout?

Accepted Answer

$$1.75	ext{ }\min $$

Answer

$$2	ext{ }\min $$

Answer

$$1.5	ext{ }\min $$

Answer

$$5	ext{ }\min $$

Question 5

It has been found that the escape velocity of a satellite to escape from the surface of earth is $$11.19	ext{ }km{{s}^{-1}}$$.  Calculate the mean density of the earth. The radius of the earth is mentioned as$$6400	ext{ }km$$. The value of universal gas constant is, $$G=6.674	imes {{10}^{-11}}	ext{ }{{m}^{3}}k{{g}^{-1}}{{s}^{-2}}$$.

Accepted Answer

$$5515	ext{ }kg{{m}^{-3}}$$

Answer

$$6515	ext{ }kg{{m}^{-3}}$$

Answer

$$7515	ext{ }kg{{m}^{-3}}$$

Answer

$$9515	ext{ }kg{{m}^{-3}}$$