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Digiron [165]
1 year ago
15

Using energy considerations, calculate the average force (in N) a 70.0 kg sprinter exerts backward on the track to accelerate fr

om 2.00 to 8.00 m/s in a distance of 25.0 m, if he encounters a headwind that exerts an average force of 30.0 N against him.
Physics
1 answer:
Keith_Richards [23]1 year ago
8 0

The average force a 70.0 kg sprinter exerts backward on the track is 84 N.

<h3>What is law of conservation of energy?</h3>

The law of conservation of energy states that energy can neither be created nor destroyed but can be converted from one form to another.

E = Fd

where;

  • F is the applied force
  • d is the displacement of the object

The average force exerted by the sprinter is calculated as follows;

F = ma

where;

  • a is the acceleration of the sprinter
  • m is mass of the sprinter

The acceleration of the sprinter is calculated as follows;

v² = u² + 2as

where;

  • v is the final velocity
  • u is the initial velocity
  • s is the distance

(8)² = (2)² + (2x25)a

64 = 4 + 50a

60 = 50a

a = 60/50

a = 1.2 m/s²

Average force exerted by the sprinter;

F = ma

F = 70 kg x 1.2 m/s²

F = 84 N

Learn more about average force here: brainly.com/question/16200276
#SPJ1

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