Earth is rotating about the Sun in our solar system. The distance between the Earth and Sun is 1.5 x 10"m. Consider the impact of an asteroid of mass 8.9 x1015 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 x10 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each other. Earth North Pole (a) Calculate the axial and total angular momentum of the Earth. (b) What is the change in the angular velocity of the Earth due to the collision? (c) What is the maximum possible change in the length of a day due to the collision? (d) How much energy is needed to stop the Earth's rotation about its axis after the collision? (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 x 10"m. Consider the impact of an asteroid of mass 8.9 x1015 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 x10 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each other. Earth North Pole (a) Calculate the axial and total angular momentum of the Earth. (b) What is the change in the angular velocity of the Earth due to the collision? (c) What is the maximum possible change in the length of a day due to the collision? (d) How much energy is needed to stop the Earth's rotation about its axis after the collision? (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?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 7PQ: Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest...

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Question

Please solve (d) and (e)

. Earth is rotating about the Sun in our solar system. The distance between the Earth and Sun
is 1.5 x 10'm. Consider the impact of an asteroid of mass 8.9 x1015 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 x 1024 kg and RE = 6.38
x10 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each
other.
Earth
North Pole
(a) Calculate the axial and total angular momentum of the Earth.
(b) What is the change in the angular velocity of the Earth due to the collision?
(c) What is the maximum
ible change in the length of a day due to the collision?
(d) How much energy is needed to stop the Earth's rotation about its axis after the collision?
(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?
た

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