# physics

In a circus performance, a large 5.0 kg hoop of radius 3.0 m rolls without slipping. If the hoop is given an angular speed of 3.0 rad/s while rolling on the horizontal and allowed to roll up a ramp inclined at 10° with the horizontal, how far (measured along the incline) does the hoop roll?

m

1. 👍 0
2. 👎 0
3. 👁 71
1. Total KE before is 1/2 mv^2 + 1/2 I ω^2
Have to look up I for a hoop and v is rω
Turn that total into mgh where h is d sin 10

1. 👍 0
2. 👎 0
posted by Chanz

## Similar Questions

1. ### Physics

A hoop of radius 1.4 m and mass 11.5 kg has a small ball stuck to its inside surface. The ball has a radius of one quarter that of the hoop, and twice the hoop’s mass. The hoop may roll freely, without slipping. Similarly, the

asked by Amber on April 22, 2016
2. ### physics

As part of a kinetic sculpture, a 5.6 kg hoop with a radius of 3.8 m rolls without slipping. If the hoop is given an angular speed of 2.1 rad/s while rolling on the horizontal and then rolls up a ramp inclined at 17.7◦ with the

asked by morg on November 9, 2014
3. ### science

A hoop of mass M = 4 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to

asked by sara on July 21, 2014
4. ### Physics

15. [1pt] A thin hoop of radius r = 0.59 m and mass M = 9.2 kg rolls without slipping across a horizontal floor with a velocity v = 3.3 m/s. It then rolls up an incline with an angle of inclination θ = 31°. What is the maximum

asked by Morgan on November 5, 2011
5. ### Physics

A 1-kg thin hoop with a 50-cm radius rolls down a 47° slope without slipping. If the hoop starts from rest at the top of the slope, what is its translational velocity after it rolls 16 m along the slope? I got the height by

asked by mymi on October 24, 2011
6. ### Physics

A 1-kg thin hoop with a 50-cm radius rolls down a 47° slope without slipping. If the hoop starts from rest at the top of the slope, what is its translational velocity after it rolls 16 m along the slope?

asked by mymi on October 25, 2011
7. ### science

A hoop of mass M = 4 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to

asked by Zoey on July 20, 2014
8. ### Physics

A hoop of mass M = 3 kg and radius R = 0.5 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to

asked by Nho Neim on November 19, 2011
9. ### physics

What linear speed must a 4.0×10−2kg hula hoop have if its total kinetic energy is to be 0.20J ? Assume the hoop rolls on the ground without slipping.

asked by Kaitlin on October 29, 2013
10. ### physics

What linear speed must a 0.0508-kg hula hoop have if its total kinetic energy is to be 0.164 J? Assume the hoop rolls on the ground without slipping.

asked by Tsion on April 2, 2014

More Similar Questions