Physics with Calc - Please use the appropriate units and round to the .000 if ne
ID: 1409049 • Letter: P
Question
Physics with Calc - Please use the appropriate units and round to the .000 if needed.
A uniform solid disk, a uniform solid sphere, and a uniform hoop are placed side by side at the top of an incline of height h. They are released from rest and roll without slipping. Place the objects in order of fastest to slowest at the bottom the incline. (Be sure to be able to explain why, in words, without equations.)
the two spheres tie for first, followed by hoop
uniform hoop, solid disk, solid sphere
it's a 3-way tie
the hoop, followed by the two spheres in a tie
solid sphere, uniform hoop, solid disk
solid sphere, solid disk, uniform hoop
solid disk, solid sphere, uniform hoop
solid disk, uniform hoop, solid sphere
uniform hoop, solid sphere, solid disk
Verify your answer by deriving a formula for their speeds when they reach the bottom in terms of h. (Use h and g as appropriate in your equations. For example: sqrt(7gh) means take the square root of 7*g*h)
Now it's a race to the bottom among a golf ball, a bowling ball, and a marble (assume they are all uniform solid spheres, but of different masses, sizes, and densities). Place them in order from fastest to slowest at the bottom of the incline.
it's a 3-way tie
golf ball, marble, bowling ball
bowling ball, golf ball, marble marble,
bowling ball, golf ball bowling ball,
marble, golf ball
marble, golf ball, bowling ball
golf ball, bowling ball, marble
solid disk speed = uniform hoop speed = solid sphere speed =Explanation / Answer
A uniform solid disk, a uniform solid sphere, and a uniform hoop are placed side by side at the top of an incline of height h. They are released from rest and roll without slipping. Place the objects in order of fastest to slowest at the bottom the incline. (Be sure to be able to explain why, in words, without equations.)
(1)solid sphere, solid disk, uniform hoop
(2)it's a 3-way tie
(3)the two spheres tie for first, followed by hoop
(4)uniform hoop, solid disk, solid sphere
(5)solid disk, solid sphere, uniform hoop
(6)solid sphere, uniform hoop, solid disk
(7)the hoop, followed by the two spheres in a tie
(8)uniform hoop, solid sphere, solid disk
(9)solid disk, uniform hoop, solid sphere
(1)solid sphere, solid disk, uniform hoop (answer)
Verify your answer by deriving a formula for their speeds when they reach the bottom in terms of h. (Use h and g as appropriate in your equations. For example: sqrt(7gh) means take the square root of 7*g*h)
solid disk speed = sqrt((gh)/0.75)
uniform hoop speed =sqrt(gh)
solid sphere speed =sqrt((gh)/0.7)
Now it's a race to the bottom among a golf ball, a bowling ball, and a marble (assume they are all uniform solid spheres, but of different masses, sizes, and densities). Place them in order from fastest to slowest at the bottom of the incline.
(1)golf ball, marble, bowling ball
(2)marble, golf ball, bowling ball
(3)bowling ball, marble, golf ball
(4)golf ball, bowling ball, marble
(5)it's a 3-way tie
(6)bowling ball, golf ball, marble
(7)marble, bowling ball, golf ball
(5)it's a 3-way tie (answer)
1/2v^2 x (mass + (inertia/r^2)) = mgh