Earth is rotating about the Sun in our solar system. Thc 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 104 kg and RE = 6.38 x10“ m, respectively. Assume that the axial and orbital axis of rotations are parallel to cach other. Earth North Pole (d) How much encrgy 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 cquator?

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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 thec Earth are ME 5.97 x 10 kg and R: = 6.38
x10° m, respectively. Assume that the axial and orbital axis of rotations are parallel to cach
other.
%3D
Earth
North Pole
(d) How much encrgy 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 cquator?
Transcribed Image Text: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 thec Earth are ME 5.97 x 10 kg and R: = 6.38 x10° m, respectively. Assume that the axial and orbital axis of rotations are parallel to cach other. %3D Earth North Pole (d) How much encrgy 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 cquator?
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