Earth is rotating about the Sun in our solar system. The distance between the Earth and Sun

is 1.5 × 1011m. Consider the impact of an asteroid of mass 8.9 ×1015 kg and a speed of 90,000

km/h with respect to the Earth’s surface. The asteroid strikes the Earth at the equator as shown

in Figure. Consider the mass and radius of the Earth are ME = 5.97 × 1024 kg and RE = 6.38

×106 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each

other.

(a) Calculate the axial and total angular momentum of the Earth. (4 marks)

(b) What is the change in the angular velocity of the Earth due to the collision? (6 marks)

(c) What is the maximum possible change in the length of a day due to the collision?

(3 marks)

(d) How much energy is needed to stop the Earth’s rotation about its axis after the collision?

(4 marks)

(e) What would be the moment of inertia of the Earth if the axis of rotation is parallelly

shifted so that it touches the equator?

Earth is rotating about the Sun in our solar system. The distance between the Earth and Sun

is 1.5 × 1011m. Consider the impact of an asteroid of mass 8.9 ×1015 kg and a speed of 90,000

km/h with respect to the Earth’s surface. The asteroid strikes the Earth at the equator as shown

in Figure. Consider the mass and radius of the Earth are ME = 5.97 × 1024 kg and RE = 6.38

×106 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each

other.

(a) Calculate the axial and total angular momentum of the Earth. (4 marks)

(b) What is the change in the angular velocity of the Earth due to the collision? (6 marks)

(c) What is the maximum possible change in the length of a day due to the collision?

(3 marks)

(d) How much energy is needed to stop the Earth’s rotation about its axis after the collision?

(4 marks)

(e) What would be the moment of inertia of the Earth if the axis of rotation is parallelly

shifted so that it touches the equator?