The Earth has an angular speed of 7.272 10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 1.22 1022 kg) hits the Earth while traveling at a speed of 1.45 103 m/s (assume the asteroid is a point mass compared to the radius of the Earth) in each of the following cases. (a) The asteroid hits the Earth dead center along the radial line from the Sun through the Earth's center. (b) The asteroid hits the Earth nearly tangentially in the direction of Earth's rotation. (c) The asteroid hits the Earth nearly tangentially in the direction opposite to Earth's rotation.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
The Earth has an angular speed of 7.272 10-5 rad/s in its rotation. Find the new angular speed if an asteroid (m = 1.22 1022 kg) hits the Earth while traveling at a speed of 1.45 103 m/s (assume the asteroid is a point mass compared to the radius of the Earth) in each of the following cases.
(a) The asteroid hits the Earth dead center along the radial line from the Sun through the Earth's center.
(b) The asteroid hits the Earth nearly tangentially in the direction of Earth's rotation.
(c) The asteroid hits the Earth nearly tangentially in the direction opposite to Earth's rotation.
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