List of top Physics Questions on Centripetal forces

A body of mass 2 kg is moving in a circular path of radius 3 m with a constant speed of 6 m/s. What is the centripetal force acting on the body?

A particle of mass 𝑚 is under the influence of the gravitational field of a body of mass 𝑀 (≫ 𝑚). The particle is moving in a circular orbit of radius \(𝑟_0\) with time period \(𝑇_0\) around the mass 𝑀. Then, the particle is subjected to an additional central force, corresponding to the potential energy 𝑉c(𝑟) = 𝑚𝛼/𝑟 3 , where 𝛼 is a positive constant of suitable dimensions and 𝑟 is the distance from the center of the orbit. If the particle moves in the same circular orbit of radius\( 𝑟_0\) in the combined gravitational potential due to 𝑀 and 𝑉c(𝑟), but with a new time period \(𝑇_1\), then\( (𝑇_1^2  − 𝑇_0^ 2 )/𝑇_1^ 2\) is given by [𝐺 is the gravitational constant.]

A particle of mass m is moving in a circular orbit under the influence of the central force\( f(r) = −kr\), corresponding to the potential energy \(v(r) = \frac{kr^2}{2}\), where \(k\) is a positive force constant and \( r\) is the radial distance from the origin. According to the Bohr’s quantization rule, the angular momentum of the particle is given by \(L= nℏ\), where\( ℏ = ℎ/(2pi), ℎ\) is the Planck’s constant, and \(n\) a positive integer. If \(v\) and \(E\) are the speed and total energy of the particle, respectively, then which of the following expression(s) is(are) correct?

A stone of mass 2 kg is hung from the ceiling of the room using two strings. If the strings make an angle $ 60^\circ $ and $ 30^\circ $ respectively with the horizontal surface of the roof, then the tension on the longer string is:

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect to point P. Which of the following graphs represent the correct relation between A and α when ball goes from Q to R?

A particle of mass \( m \) is moving in a horizontal circle of radius \( r \) under a centripetal force given by \( \left( \frac{-K}{r^2} \right) \), where \( K \) is a constant. Then

A toy car of mass 80g is maintained to move in a horizontal circle of radius 0.8m with a velocity v ms^-1. If the centripetal force acting on it is 10 N, then the value of v in ms^-1 is

One end of a string of length ‘ l ’ is connected to a particle of mass ‘m’ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed ‘v’, the net force on the particle (directed towards the centre) is : (T is the tension in the string)

A particle of mass 7 kg is ececuting circular motion with time period of 11 sec. Find out centripetal force, if radius of circle is 10 m.

Find the maximum radius of circle so that block can complete the circular motion.

A Particle of mass 7 kg is executing circular motion with time period of 11 se. Find out centripetal force if radius of circle is 10 m.

Suppose the gravitational force varies inversely as the nth power of distance. Then, the time period of a planet in circular orbit of radius R around the sun will be proportional to

Ten one-rupee coins are put on top of each other on a table. Each coin has a mass $m$. The force on the $7^{th}$ coin (counted from the bottom) due to all the coins on its top is