Circular Motion

A particle of mass 0.01 kg moves in a horizontal circle of diameter 1 m with an angular velocity of 3π

rad s^-1.

What is the magnitude of the force responsible for this motion?

• 0.03 π

• 0.09 π

• 0.03 π²

• 0.09 π²

A particle of mass 0.01 kg moves in a horizontal circle of diameter 1 m with an angular velocity of 3π

rad s^-1.

What is the direction of the force responsible for this motion?

• away from the centre of the circle

• towards the centre of the circle

• along a tangent to the edge of the circle

• in a circle

The mass at the end of a pendulum is made to move in a horizontal circle of radius r at constant speed. The magnitude of the net force on the mass is F.

What is the direction of F during half a revolution?

• towards the centre of the circle

• away from the centre of the circle

• along a tangent to the circle

• in a circle

Tags

NGSS.HS-PS2-1

The mass at the end of a pendulum is made to move in a horizontal circle of radius r at constant speed. The magnitude of the net force on the mass is F.

What is the work done by F during half a revolution?

• 0

• πrF

• (πrF)²

• 2πrF

An object of mass m at the end of a string of length r moves in a vertical circle at a constant angular speed ω.

What is the tension in the string when the object is at the bottom of the circle?

• m(ω²r + g)

• m(ω²r –g)

• mg(ω²r + 1)

• mg(ω²r +-1)

An object of mass m moves in a horizontal circle of radius r with a constant speed v. What is the rate at which work is done by the centripetal force?

• $\frac{mv^3}{r}$

• $\frac{mv^3}{2\pi r}$

• $\frac{mv^3}{4\pi r}$

• zero

An object rotates in a horizontal circle when acted on by a centripetal force F. What is the centripetal force acting on the object when the radius of the circle doubles and the kinetic energy of the object halves?

• $\frac{F}{4}$

• $\frac{F}{2}$

• $F$

• $2F$

The maximum speed with which a car can take a circular turn of radius R is v. The maximum speed with which the same car, under the same conditions, can take a circular turn of radius 2R is

• 2v

• v√2

• 4v

• 2v√2

A satellite X of mass m orbits the Earth with a period T. What will be the orbital period of satellite Y of mass 2m occupying the same orbit as X?

• $\frac{T}{2}$

• $T$

• $T\sqrt{2\ }$

• $2T$

Two particles, X and Y, are attached to the surface of a horizontally mounted turntable.

The turntable rotates uniformly about a vertical axis. The magnitude of the linear velocity of X is v and the magnitude of its acceleration is a. Which of the following correctly compares the magnitude of the velocity of Y and the magnitude of the acceleration of Y with v and a respectively?

• Y velocity = v

  Y acceleration < a

• Y velocity > v

  Y acceleration < a

• Y velocity = v

  Y acceleration > a

• Y velocity > v

  Y acceleration > a