Question

The total mechanical
energy
of a spring-and-block oscillator is E.
If the block is replaced by one having double the mass, then the
new mechanical
energy
for oscillations with the same amplitude will be.​

Answer 1

Answer:

The total mechanical

energy

of a spring-and-block oscillator is E.

If the block is replaced by one having double the mass, then the

new mechanical

energy

for oscillations with the same amplitude will be.

Explanation:

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Answer 2

Answer:

Explanation:

To produce a deformation in an object, we must do work. That is, whether you pluck a guitar string or compress a car’s shock absorber, a force must be exerted through a distance. If the only result is deformation, and no work goes into thermal, sound, or kinetic energy, then all the work is initially stored in the deformed object as some form of potential energy.

Consider the example of a block attached to a spring on a frictionless table, oscillating in SHM. The force of the spring is a conservative force (which you studied in the chapter on potential energy and conservation of energy), and we can define a potential energy for it. This potential energy is the energy stored in the spring when the spring is extended or compressed. In this case, the block oscillates in one dimension with the force of the spring acting parallel to the motion:

W=∫xfxiFxdx∫xfxi−kxdx=[−12kx2]xfxi=−[12kx2f−12kx2i]=−[Uf−Ui]=−ΔU.