A communications satellite is struck by a meteoroid and sent spinning. Half a second later, the satellite's thrusters fire opposite the rotation to stop the spinning.

What is known:

• meteoroid momentum p_m = 0.33 kg-km/s
• impact angle α = 45°
• satellite mass m_s = 100 kg
• satellite moment of inertia I_s = 150 kg-m²
• thruster force F = 200 N each
• initial angular velocity is zero before impact

How long must the thrusters fire in order to stop the satellite from spinning?

• Assume the meteoroid becomes imbedded in the satellite.
• Using the Conservation of Momentum, determine the motion of the satellite after the impact.
• Using the Principle of Impulse and Momentum, determine the thruster firing-time required to reduce the rotational velocity back to zero.