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Consider the following situations:
A. A 2.5 kg physics book is resting on the edge of a table 1.4 m above the floor
B. A 10.0 kg backpack is on the floor beside the door
C.A 1 kg backpack is on the shelf that is 2.0 m above the floor
In which situation(A, B or C) is the potential energy the most?
OA
O
O
A, B and C all have the same potential energy
C
B

Sagot :

Given the data from the question, the potentiel energy is most in A

To obtain the correct answer to the question, we shall determine the potential energy in each case

How to determine the potential energy

PE = mgh

Where

  • PE is the potential energy
  • m is the mass
  • g is the acceleration due to gravity
  • h is the height

Case A

  • Mass (m) = 2.5 Kg
  • Height (h) = 1.4 m
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Potential energy (PE) = ?

PE = mgh

PE = 2.5 × 9.8 × 1.4

PE = 34.3 J

Case B

  • Mass (m) = 10 Kg
  • Height (h) = 0 m
  • Acceleration due to gravity (g) = 0 m/s²
  • Potential energy (PE) = ?

PE = mgh

PE = 2.5 × 0 × 0

PE = 0 J

Case C

  • Mass (m) = 1 Kg
  • Height (h) = 2 m
  • Acceleration due to gravity (g) = 9.8 m/s²
  • Potential energy (PE) = ?

PE = mgh

PE = 1 × 9.8 × 2

PE = 19.6 J

SUMMARY

  • Potential energy in case A = 34.3 J
  • Potential energy in case B = 0 J
  • Potential energy in case C = 19.6 J

Thus potential energy is most in A

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