# Number 12 Transcribed Image Text: 11) Two astronauts, each having a mass of 75.0kg are connected by a 10.00m rope of

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makes an angle 0-37.0° with the horizontal. Assuming the axle of the wheel to be frictionless, determine: (a) the tension in the rope (b) the moment of inertial of the wheel (c) the angular speed of the wheel 2.00s after it begins, starting from rest. |

Number 12 Transcribed Image Text: 11) Two astronauts, each having a mass of 75.0kg are connected by a 10.00m rope of

mass. They are isolated in space, moving in circle around the point halfway between them at a speed of

5.00m/s. Treating the astronauts as particles, calculate

negligible

(a) the magnitude of the angular momentum

(b) The rotational energy of the system. By pulling on the rope, the astronauts shorten the distance

between them to 5.00m.

(c) What is the new angular momentum of the system?

(d) What are their new speeds.?

(e) What is the new rotational energy of the system?

() How much work is done by the astronauts in the shortening the rope?

75.0kg

75.0k9

12) An object of mass m =12.0kg is attached to a cord that is wrapped around a wheel of radius r

=10.0cm

The acceleration of the object down the frictionless incline is measured to be a-2.00m/s and the incline

makes an angle 0-37.0° with the horizontal.

Assuming the axle of the wheel to be frictionless, determine:

(a) the tension in the rope (b) the moment of inertial of the wheel

(c) the angular speed of the wheel 2.00s after it begins, starting from rest.

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