If the two objects are released at rest, and the height of the ramp is h = 0.65 m, find the speed of the disk and the spherical shell when they reach the bottom of the ramp. express your answers using two significant figures separated by a comma.

2.91 m/s, the speed of disk and 2.52 m/s, speed for hoop.

Explanation:

The change in potential energy will equal the change in kinetic energy

With no slipping

The moment of inertia of a uniform disk is

‘m’ gets cancelled on both sides, v squared taking as common on right side, we get,

we know,

Moment of inertia for a thin spherical shell (for hoop) is

Taking ‘m’ as common, and cancelling r squared, we get

Taking square root, we get

at right angles to each other

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation