The force on a body executing shm is 2n when the displacement is 2 cm
Answers
Answer:
Explanation:
In SHM, acceleration, a, is equal to xw2 where w is angular frequency, and x is displacement. Using Newton's second law of motion,
F=ma
2=m(xw2)
Given x is 2 cm, and converting to standard units,
2=0.02mw2
100=mw2
The total energy of a system in SHM is constant, transforming from kinetic energy to potential energy and vice versa. Therefore, the sum of kinetic energy and potential energy equals the total energy, and it can be found by calculating the maximum kinetic energy or potential energy.
Kinetic energy=0.5mv2, where v is velocity, in this case, maximum velocity since we're trying to find maximum energy
Potential energy=0.5max =0.5m(xw2)x =0.5mx2w2, where x in this case will be maximum displacement, or amplitude.
Since the formula for potential energy already contains the result we found earlier, we choose to use that. You can also choose to use the kinetic energy formula, but you need to find the maximum velocity first, which will give you the same result.
100=mw2
E=0.5mw2x2
E=0.5(100)(0.05^2)
E=0.125 Joules.