A 4.30 kg block is released from point A in the figure below. The track is frictionless except for the portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring (with a spring constant of 2210 N/m), and compresses the spring 19 cm from its equilibrium position before coming to rest momentarily. Part A: What is the potential energy of the system at point A?
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 4.30 kg block is released from point A in the figure below. The track is frictionless except for the portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring (with a spring constant of 2210 N/m), and compresses the spring 19 cm from its equilibrium position before coming to rest momentarily.
Part A: What is the potential energy of the system at point A?
Part B: What is the potential energy stored in the spring when it is compressed by 19 cm?
Part C: How much non-conservative work was done by the system?
Part D: Determine the coefficient of kinetic friction, μk, between the block and the rough surface.
Part E: What happened to the lost mechanical energy?
Step by step
Solved in 3 steps with 3 images
