Uniform Circular Motion
A ball at the end of a string is being swung in a horizontal circle. This is the direction of the ball's acceleration.
What is towards the center of the circle?
Suppose two planets, with masses of 2M and M, are a distance of R away from one another. If the distance between the two were doubled, this is how the magnitude of the gravitational force between them would be affected.
What is divided by 4?
All points on a rotating object have the same _____ velocity, but different speeds.
What is angular?
Suppose a rotating object and a non-rotating object have the same mass and speed. This one, if either, would have the greater kinetic energy.
What is the rotating object?
For an object in simple harmonic motion, this is the object's maximum displacement from equilibrium.
What is amplitude?
An audio CD has a diameter of 120 mm and spins at up to 540 rpm. This is the frequency (in units of Hertz) of Ant-Man who is riding on the edge of the disk.
What is 9.0 Hz?
Two objects are a distance of R away from one another. If each of the object's masses triples, how does the gravitational attraction between them change?
What is multiplied by 9?
A ball rolls around a circular track with an angular velocity of 2pi rad/s. What is the period of the motion?
What is 1.0 s?
A woman on a merry-go-round has a speed of 4.2 m/s, and she is a distance of 2.6 m from the center. What is her angular momentum around the center of the merry-go-round? The woman has a mass of 47 kg.
What is 513 kg *m^2/s?
Where the kinetic energy is a maximum for an object in simple harmonic motion.
What is the equilibrium position?
A 5.0 meter diameter merry-go-round is turning with a period of 4.0 s. What is the speed of the child on the rim?
What is 3.9 m/s?
Two spherical objects have masses of 200 kg and 500 kg. Their centers are separated by a distance of 25 m. Find the gravitational attraction between them.
What is 1.1 x 10^-8 N?
A thin spherical shell has a diameter of 0.40 m and a mass of 1.35 g. What is its moment of inertia about an axis that passes through its center?
What is 3.6 x 10^-5 kg*m^2?
A microwave turntable with a moment of inertia of 0.020 kg * m^2 rotates continuously, making a complete revolution every 4.0 seconds. This is the rotational kinetic energy of the turntable.
What is 0.025 J?
An object in simple harmonic motion moves according to the following equation:
x(t) = 0.3cos(0.7t), where x is in meters, and t is in time
This is the object's angular speed.
What is 0.7 rad/s?
A 750 kg car drives around a flat 200. meter diameter circular track at 25 m/s. This is the magnitude and direction of the net force on the car.
What is 4,700 N and towards the center of the circular track?
Two objects with masses of 6 and 8 kg are hung from the left and right ends, respectively, of a 70 cm long stick. If the mass of the stick is negligible, how from the left end of the stick should a cord be attached if the stick is to remain horizontal when suspended from the cord?
What is 40 cm? (or 0.4 m)
A bike rim has a radius of 0.325 m and a moment of inertia, measured about its center, of 0.19 kg*m^2. This is the mass of the rim.
What is 1.8 kg?
A bowling ball with a mass of 11 kg and a radius of 12.0 cm is released so that it rolls down the alley at a rate of 12 rev/s. What is the magnitude of its angular momentum?
What is 4.8 kg *m^2/s?
A block oscillating on a spring has a frequency of 0.5 Hz. What is the period if the block's mass is doubled?
What is 2.8 s?
A puck of mass 0.25 kg is tied to a string and allow to revolve in a circle of radius 1.0m on a frictionless tabletop. The other end of the string passes through a hole in the center of the table, and a mass of 0.5 kg is tied to it. The suspended mass remains in equilibrium while the puck on the table revolves. This is the speed of the puck.
What is 4.43 m/s?
A force of 5.0 N is applied at an angle of 30 degrees at the end of a 2.0 meter lever, what will be the magnitude of the torque?
What is 5 N * m?
A high-speed drill rotating counterclockwise takes 2.5 s to speed up to 2400 rpm from rest. What is the drill’s angular acceleration?
What is 101 rad/s^2?
What is 50 J?
A 0.10 kg ball is suspended from a spring with a spring constant of 12 N/m. If the ball is pulled down 0.10 m from the equilibrium position and released, what is its maximum speed while it oscillates?
What is 1.1 m/s?