Suppose wave pulses in an aquarium are produced by a mechanical motor that moves a bob up and down at the surface. The setup uses a 10-W motor and has a period of 1.9 s between bobs. How much kinetic energy is in each pulse.

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Answer:

kinetic energy in each pulse = 9.5J

Explanation:

  • The concept used here is that of work, energy and power.

  • Power P = Work /Time

  • Work = energy in this case

  • E = Power x time = Pt

  • but Power = 10W and t = 1.9s

  • Energy E = 10W x 1.9s = 19J

Conventionally, overall energy = kinetic + potential

Hence kinetic energy in each pulse = half of the total energy = 0.5 x 19

energy = 9.5J

The kinetic energy is in each pulse is 19J.

The Power delivered is defined at the rate of work done, if P be the power, W be the work done and t be the time for which the work is done then:

P = W/t

W = Pt

given that P = 10w and t = 1.9s

W = 10×1.9 J

W = 19J

Now, the work done is equal to the change in Kinetic energy (KE)

ΔKE = W = 19J

Hence, the kinetic energy is 19J.

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