Question

A ball of mass 3kg and radius 60 cm rolls down an incline of 20 degrees...

A ball of mass 3kg and radius 60 cm rolls down an incline of 20 degrees from a height of 1.2m. Determine:

a. The total energy of the ball at the top of the incline

b. The total energy of the ball at the bottom of the incline

Homework Answers

Answer #1

The mechanical energy will be conserved as there is no non conservative force acting on the ball. The total kinetic energy will change.

a) At the top of inline there is no kinetic energy only potential energy. Potential energy of an object can be calculated by calculating the potential energy of ceter of mass. The center of mass from ground is 1.2+0.3 =1.5m above. We will take the refrence at ground. Total kinetic energy is 0 at this point.

b)At bottom of incline the total kinetic energy will be equal to the change in potential energy. where it's the change in the height of COM.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a...
A Brunswick bowling ball with mass M= 7kg and radius R=0.15m rolls from rest down a ramp without slipping. The initial height of the incline is H= 2m. The moment of inertia of the ball is I=(2/5)MR2 What is the total kinetic energy of the bowling ball at the bottom of the incline? 684J 342J 235J 137J If the speed of the bowling ball at the bottom of the incline is V=5m/s, what is the rotational speed ω at the...
A cylinder of mass and radius R rolls without slipping down an incline plane starting from...
A cylinder of mass and radius R rolls without slipping down an incline plane starting from ??rest at a height d above the ground. The plane is angled 30 degrees from the horizontal. Ignoring air resistance, find the speed and the acceleration of the cylinder at the bottom of the plane. a.Use the methods of conservation of energy to solve this problem. b. Use the methods of torques to check your answer. c. Look ? at your answer to this...
An earthball with a mass of 120 kg and a radius of 1.5 m rolls down...
An earthball with a mass of 120 kg and a radius of 1.5 m rolls down a regular hill. The hill is 60 meters high and inclined at 15 degrees to the vertical. a) How fast is the ball moving at the bottom of the hill? b) At the bottom of the hill is an ice covered ramp. The ball begins to go up the frictionless ice ramp. What is the maximum height up the ramp that the ball reaches?
A ball rolls down a ramp without slipping. It starts from rest. (a) Specify the mass...
A ball rolls down a ramp without slipping. It starts from rest. (a) Specify the mass and radius of the ball, and the height and length of the ramp. (b) Calculate the moment of inertia of the ball . (c) Calculate the potential energy of the ball at the top of the ramp. (d) Calculate the linear kinetic energy and rotational kinetic energy of the ball. (e) Determine the angular acceleration of the ball. (f) Determine how long the ball...
An earthball with a mass of 125 kg and a radius of 1.5 m rolls down...
An earthball with a mass of 125 kg and a radius of 1.5 m rolls down a regular hill. The hill is 60 meters high and inclined at 15 degrees to the vertical. How fast is the ball moving at the bottom of the hill? At the bottom of the hill is an ice covered ramp. The ball begins to go up the frictionless ice ramp. What is the maximum height up the ramp that the ball reaches?
a ball of mass M and radius R start from rest at a height of 5.0...
a ball of mass M and radius R start from rest at a height of 5.0 m and rolls down a 20 degree slope as he fig below. what is the linear speed of the ball when it leaves the incline? assuming that the ball rolls without slipping B) a disk of M and radius R start from rest at a height of 5.0 m and rolls down a 20 degree slope as he fig below. what is the linear...
A ball of mass M and radius R rolls smoothly from rest down a ramp and...
A ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.47 m. The initial height of the ball is h = 0.35 m. At the loop bottom, the magnitude of the normal force on the ball is 2.0 Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of...
3) A Solid Ball, of mass M and radius R rolls from rest down a table-top...
3) A Solid Ball, of mass M and radius R rolls from rest down a table-top ramp of height H and then rolls (horizontally) across a table until it gets to the edge and rolls off the edge and drops a distance h to the floor. (a) At what horizontal distance D (from the table edge) does the ball hit the floor? (b) Rank the following objects from least D to greatest D : Solid Ball, Hollow Sphere, Solid Cylinder,...
A sphere of radius r0 = 22.0 cm and mass m = 1.20kg starts from rest...
A sphere of radius r0 = 22.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 38.0 degree incline that is 11.0 mm 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? D. Does your answer in part A depend on mass or radius of the ball? E....
A solid cylinder of mass 1.3 kg and radius 2.0 cm starts from rest at some...
A solid cylinder of mass 1.3 kg and radius 2.0 cm starts from rest at some height above the ground and rolls down an ncline without slipping. At the bottom of the incline, its linear speed is 2.5 m/s. (a) How much is its angular speed? (b) How much is its rotational kinetic energy? The moment of inertia of a solid cyllinder is 21mR2 (c) How much is its total energy at the bottom? (d) From what height did it...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT