Question

In: Physics

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest...

1. A 0.750 kg hollow sphere with a diameter of 25 cm diameter starts from rest at the top of a 65 cm tall incline. There is just enough friction on the incline to make the sphere roll instead of slide.

(a) What types of energy does the sphere have at the top? at the bottom?

(b) What is the moment of inertia of the sphere?

(c) What is the velocity of the sphere when it reaches the bottom of the incline?

(d) Would a solid sphere of the same mass and size reach the bottom of the incline before or after the hollow sphere?

Solutions

Expert Solution


Related Solutions

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...
A hollow, thin-walled sphere of mass 11.0 kg and diameter 48.0 cm is rotating about an...
A hollow, thin-walled sphere of mass 11.0 kg and diameter 48.0 cm is rotating about an axle through its center. The angle (in radians) through which it turns as a function of time (in seconds) is given by θ(t)=At2+Bt4, where A has numerical value 1.20 and Bhas numerical value 1.60. At the time 3.00 s , find the angular momentum of the sphere. At the time 3.00 s , find the net torque on the sphere.
A vertical wheel with a diameter of 39 cm starts from rest and rotates with a...
A vertical wheel with a diameter of 39 cm starts from rest and rotates with a constant angular acceleration of 7.2 rad/s2 around a fixed axis through its center counterclockwise. a) Through what angle (in degrees) has the point initially at the bottom of the wheel traveled when t = 14 s? (Indicate the direction with the sign of your answer.) b) What is the point's total linear acceleration at this instant? (Enter the magnitude in m/s2.
A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an...
A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform begins...
A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from rest...
A sphere of radius r0 = 23.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 36.0 ∘ incline that is 13.0 m long. a) Calculate its translational speed when it reaches the bottom. b) Calculate its rotational speed when it reaches the bottom. c) What is the ratio of translational to rotational kinetic energy at the bottom?
A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at...
A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at the top of a ramp. Which object reaches the bottom of the ramp first? (a) The hollow sphere (b) The solid cylinder (c) The hollow cylinder (d) They all reach the bottom of the ramp at the same time A hollow sphere, a solid cylinder, and a hollow cylinder are all released from rest at the top of a ramp. Which object has the...
3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to...
3. A solid sphere of mass 0.750 kg and radius 5.00 cm is spun up to an angular velocity 10.0 rad/s. The sphere is dropped from a low height onto a flat platform of mass 5.00 kg. The sphere begins to skid and move along the platform until it rolls without slipping. The coefficient of kinetic friction between the sphere and the platform is 0.70. The coefficient of friction between the platform and the ground is 0.05, and the platform...
1. A hollow sphere (mass 2.75 kg, radius 19.9 cm) is rolling without slipping along a...
1. A hollow sphere (mass 2.75 kg, radius 19.9 cm) is rolling without slipping along a horizontal surface, so its center of mass is moving at speed vo. It now comes to an incline that makes an angle 25.6o with the horizontal, and it rolls without slipping up the incline until it comes to a complete stop. Find a, the magnitude of the linear acceleration of the ball as it travels up the incline, in m/s2. 2. At t =...
A hollow aluminum sphere with outer diameter 11.1 cm has a mass of 709 g. What...
A hollow aluminum sphere with outer diameter 11.1 cm has a mass of 709 g. What is the sphere's inner diameter?
An 7.90-cm-diameter, 310 g solid sphere is released from rest at the top of a 1.60-m-long,...
An 7.90-cm-diameter, 310 g solid sphere is released from rest at the top of a 1.60-m-long, 17.0 ∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? What fraction of its kinetic energy is rotational?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT