Q13 of 23 Page 117

Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circle in equal time. What is the ratio of their speeds and centripetal accelerations?

According to the question given that;

Mass of first car = m1.


The radius of first car = r1.


Mass of second car = m2.


The radius of second car = r2.


Now let;


The speed of first car = V1.


The speed of second car = V2.


Time is taken for the first car to complete = T1 =


Time is taken for the second car to complete = T2 = .


According to question;


T1 = T2.


⇒ .


⇒


⇒ .


Hence the ratio of speeds is .


Centripetal acceleration of First car a1 =


Centripetal acceleration of Second car a2 =


⇒


⇒


⇒


⇒


Hence the ratio of centripetal acceleration is


More from this chapter

All 23 →
11

A ball is dropped from a balloon going up at a speed of 5 m/s. If the balloon was at a height 60 m. at the time of dropping the ball, how long will the ball take to reach the ground?

 12

A ball is projected vertically up with a speed of 50 m/s. Find the maximum height, the time to reach the maximum height, and the speed at the maximum height (g = 10 m/ s2 )

 14

Two spherical balls of mass 10 kg each are placed with their centers 10 cm apart. Find the gravitationl force of attractdion between them.

 15

Find the free-fall acceleration of an object on the surface of the moon, if the radius of the moon and its mass are 1740 km and 7.4 x 1022 kg respectively. Compare this value with free-fall acceleration of a body on the surface of the earth.