Question

A hoop and a solid sphere are “raced” down a 45° incline from a height of...

A hoop and a solid sphere are “raced” down a 45° incline from a height of 1.5 m. How much time will pass between the two objects?

Hoop inertia = mr²
Solid sphere inertia = 2/5mr²

Homework Answers

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 solid sphere of a radius 0.2 m is released from rest from a height of...
A solid sphere of a radius 0.2 m is released from rest from a height of 2.0 m and rolls down the incline as shown. If the initial speed Vi= 5 m/s, calculate the speed (Vf) of the sphere when it reaches the horizontal surface. (moment of inertia of a sphere is (2/5) Mr^)
A sphere, hoop, and disk race down an incline 30 m in length and at an...
A sphere, hoop, and disk race down an incline 30 m in length and at an angle of 60 degrees. The sphere, hoop, and disk all have the same mass and radius. a) Using the conservation of energy, derive an equation to calculate the final linear speed as a function of the initial heigh, the acceleration due to gravity, and a constant based on the moment of inertia. b) Calculate the final linear speeds for all 3 objects. c) Which...
A solid sphere and a hoop start from rest and roll down and incline plane (without...
A solid sphere and a hoop start from rest and roll down and incline plane (without slipping). Assume they both have the same mass and radius. (a) Draw the free body diagram and calculate the acceleration of each. (b) What is the distance between them after 4.00 s and which one is in front?
Four objects—a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell—each have a...
Four objects—a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell—each have a mass of 4.06 kg and a radius of 0.253 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in this table. hoop     ___ kg · m2 solid cylinder     ___ kg · m2 solid sphere     ___ kg · m2 thin, spherical shell     ___ kg · m2 (b) Suppose each object is rolled down a ramp. Rank the...
Problem 4 A hoop and a solid disk both with Mass (M=0.5 kg) and radius (R=...
Problem 4 A hoop and a solid disk both with Mass (M=0.5 kg) and radius (R= 0.5 m) are placed at the top of an incline at height (h= 10.0 m). The objects are released from rest and rolls down without slipping. a) The solid disk reaches to the bottom of the inclined plane before the hoop. explain why? b) Calculate the rotational inertia (moment of inertia) for the hoop. c) Calculate the rotational inertia (moment of inertia) for the...
a hoop (or ring) starting from rest rolls down a smooth, flat incline from an intial...
a hoop (or ring) starting from rest rolls down a smooth, flat incline from an intial height of 0.55m. what is the speed of the hoop when it reaches the bottom of the incline?
A hoop moves over a surface without slipping. The object rolls up an incline without slipping,...
A hoop moves over a surface without slipping. The object rolls up an incline without slipping, reaches some maximum height before turning around. Now suppose that instead of a hoop, a solid disk  rolls up the incline without slipping. (The disk is not shown in the diagram.) The solid disk reaches the same maximum height as the hoop did before turning around. It is NOT known how the masses or radii of the two objects compare. Before traveling up the incline,...
Four objects with the same mass and radius roll without slipping down an incline. If they...
Four objects with the same mass and radius roll without slipping down an incline. If they all start at the same location, which object will take the longest time to reach the bottom of the incline? Mass Moment of Inertia Table Choices A. A hollow sphere B. A solid sphere C. A thin-wall hollow cylinder D. They all take the same time E. A solid cylinder
A solid, uniform sphere with a mass of 2.0 kg is rolling from rest down an...
A solid, uniform sphere with a mass of 2.0 kg is rolling from rest down an incline plane from the top of the plane. The incline plane makes an angle of 20◦ with the horizontal and has a height of 2.0 m. At the bottom of the incline plane, the surface levels out to a frictionless horizontal surface. A spring with a spring constant of k is located 5.0 m down the horizontal surface. If the spring is compressed by...
Consider the following three objects, each of the same mass and radius: 1) Solid Sphere 2)...
Consider the following three objects, each of the same mass and radius: 1) Solid Sphere 2) Solid Disk 3) Hoop. All three are release from rest at top of an inclined plane. The three objects proceed down the incline undergoing rolling motion without slipping. use work-kinetic energy theorem to determine which object will reach the bottom of the incline first