A hoop with a mass of 3.15 kg starts from rest at the top of a...

A hoop with a mass of 3.15 kg starts from rest at the top of a ramp. The ramp is 5.0 m long and 2.1 m high. What is the rotational kinetic energy of the hoop after it has rolled without slipping to the bottom?

16 J

32 J

22 J

78 J

Solutions

Expert Solution

As the hoop rolls down the gravitational potential energy is converted to rotational kinetic energy and translational kinetic energy . As the hoop radius is not given , we can only find KErotational by deducing the KEtranslational from mgh.

Although v and r are not given , By solving the equation we can obtain that v=√gh .From this KEtranslational can be determined and thereby the rotational kinetic energy can be found.

The rotational kinetic energy of the hoop=32J

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A.

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2.0 meters down the ramp, then another 3.0 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at...

A skier with a mass of 75kg starts from rest at the top of a slope...

A skier with a mass of 75kg starts from rest at the top of a slope which is 110m tall and skis to the bottom. Hint: you must use conservation of energy to solve both parts of this problem. a. What is the skier’s speed at the bottom of the slope if there is no friction? b. If the speed of the skier at the bottom of the slope is actually 20m/s, how much work is done by friction?

A skier of mass 75kg starts from rest at the top of a friction less incline...

A skier of mass 75kg starts from rest at the top of a friction less incline that is 20.0 m in height. As soon as she touches the bottom of the incline, she encounters a horizontal surface that is 1000 m long and the skier eventually comes to rest. The coefficient of kinetic friction between skier and snow is 0.205. Find the distance the skier covers before coming to rest. Show all work.

If a hoop and a cylinder of the same mass and radius are realeased from rest...

If a hoop and a cylinder of the same mass and radius are realeased from rest at the top of an incline at the same time, which one will reach the bottom first?

An object of mass m1 = 0.435 kg starts from rest at point and slides down an...

An object of mass m1 = 0.435 kg starts from rest at point and slides down an incline surface that makes an angle θ = 36.0° with the horizontal as shown. The coefficient of kinetic friction between the object and the incline surface is 0.395. After sliding down a distance d = 5.60 m, it makes a perfectly inelastic collision with an object of mass m2 = 0.650 kg at point . a) Find the speed of m1 at point just before...

An object of mass m1 = 0.415 kg starts from rest at point and slides down an...

An object of mass m1 = 0.415 kg starts from rest at point and slides down an incline surface that makes an angle θ = 36.0° with the horizontal as shown. The coefficient of kinetic friction between the object and the incline surface is 0.455. After sliding down a distance d = 5.80 m, it makes a perfectly inelastic collision with an object of mass m2 = 0.645 kg at point . (a) Find the speed of m1 at point just before...

A box of mass m1 = 2.0 kg starts from rest and slides down the frictionless...

A box of mass m1 = 2.0 kg starts from rest and slides down the frictionless incline. At point A, the box encounters a (massless) spring of spring constant k. It compresses the spring a distance x = 0.25 m to point B where the speed of the box is 4.4 m/s. The first box is then removed and a second box of mass m2 = 3.0 kg is placed on the same incline at the same initial point and...

A jumper with a mass of 90 kg is held at rest at the top of...

A jumper with a mass of 90 kg is held at rest at the top of a 100 m high ramp. The jumper is then released to water. (The gravitational field strength is 9.8 m/s2 ) Calculate the change in gravitational potential energy of the jumper when he reaches the ground (the point Y) in kilojoule. How would you calculate the magnitude of kinetic energy of the jumper at point Y? (Assume no energy is transferred or lost during). A...

A solid disk with a mass of 0.85 kg starts at the top of a 0.79...

A solid disk with a mass of 0.85 kg starts at the top of a 0.79 m tall hill and rolls down without slipping. What is the translational speed of the disk at the bottom of the hill? What fraction of the disk's kinetic energy is rotational at the bottom of the hill?

A cylindrical shell of mass 2.0 kg and diameter 15 cm starts to rotate from rest...

A cylindrical shell of mass 2.0 kg and diameter 15 cm starts to rotate from rest around its central axis with a constant angular acceleration. It takes 2 minutes for the cylindrical shell to make 30 revolutions. A) Find the magnitude of the net torque exerted on the cylindrical shell when the cylindrical shell made 30 revolutions from rest? B) Find the magnitude of the total linear acceleration when the cylindrical shell made 20 revolutions from rest. C) Find the...

Subjects