A package is dropped (starts from rest) from the top of a building onto a trampoline below. The potential energy of the package at the top of the building is 10000 J just before it is released. (a) What is the total energy, E = PE + KE, of the system at the top of the building just before it is released? ____ J (b) When the potential energy of the packages reduces to 2600 J at a position below the building, what is the kinetic energy of the package assume that energy is conserved? ____ J (c) Using your results found for the kinetic energy in part (b) calculate the speed of the package at the position described in part (b) if he has a mass of the package is 80 kg using the fact that KE = 1/2 m v2. ____ m/s (d) What is the kinetic energy of the package just before it strikes the trampoline? ____ J (e) What is the speed of the package just before it strikes the trampoline? (Follow the same steps as part (c)) ____ m/s
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.
A package is dropped (starts from rest) from the top of a building onto a trampoline below. The potential energy of the package at the top of the building is 10000 J just before it is released.
(a) What is the total energy, E = PE + KE, of the system at the top of the building just before it is released?
____ J
(b) When the potential energy of the packages reduces to 2600 J at a position below the building, what is the kinetic energy of the package assume that energy is conserved?
____ J
(c) Using your results found for the kinetic energy in part (b) calculate the speed of the package at the position described in part (b) if he has a mass of the package is 80 kg using the fact that KE = 1/2 m v2.
____ m/s
(d) What is the kinetic energy of the package just before it strikes the trampoline?
____ J
(e) What is the speed of the package just before it strikes the trampoline? (Follow the same steps as part (c))
____ m/s
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