(d) Suppose you use a spring to launch a payload horizontally from the asteroid so that the payload ends up far from the asteroid, travelling at a speed of 3 m/s. The payload has a mass of 29 kg. If the spring is to be compressed initially an amount of 1.4 m, what stiffness k, must the spring be designed to have? 133.28 N/m X 133.28
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.
![You stand on a spherical asteroid of uniform density whose mass is 2 x 101° kg and whose radius is 10 km. These are typical
values for small asteroids.
(a) How fast do you have to throw a rock straight up so that it never comes back to the asteroid and ends up traveling at a
speed of 3 m/s when it is very far away?
16.33
m/s
16.33](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc379e4a-fd2d-4da2-a6fa-d5a4af937453%2F23a1aecd-3f69-415f-97fa-bf9f48a943ab%2F0w03aqg_processed.png&w=3840&q=75)
![(d) Suppose you use a spring to launch a payload horizontally from the asteroid so that the payload ends up far from the
asteroid, travelling at a speed of 3 m/s. The payload has a mass of 29 kg. If the spring is to be compressed initially an amount
of 1.4 m, what stiffness ks must the spring be designed to have?
133.28
N/m x
133.28](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc379e4a-fd2d-4da2-a6fa-d5a4af937453%2F23a1aecd-3f69-415f-97fa-bf9f48a943ab%2Fa73wzl5_processed.png&w=3840&q=75)
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