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Which statement about the concept of work, as defined by physics, is false?

A. All of the statements are true; none is false.
B. A given force acting on an object may or may not be doing work.
C. No work is done by a force if the object moves in a direction perpendicular to the direction along which the force acts.
D. No work is done by a force on an object that moves with constant velocity, where the velocity does not have a component along the direction of the force.
E. No work is done by a force if the object on which the force is acting does not move

1 Answer

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Final answer:

The false statement about the concept of work in physics is A: 'All of the statements are true; none is false', because options B to E are true and describe situations where work could be zero due to lack of displacement in the direction of the force.

Step-by-step explanation:

The student has asked which statement about the concept of work, as defined by physics, is false. In physics, work is defined as the application of a force that causes displacement of an object in the direction of the force, which is represented by the equation W = Fd cos θ. Considering this, let's analyze the given options:

  • B: A given force acting on an object may or may not be doing work. — This is a true statement because for work to be done, force must cause displacement in the direction of the force.
  • C: No work is done by a force if the object moves in a direction perpendicular to the direction along which the force acts. — This is true; work is zero if the force is perpendicular to the displacement.
  • D: No work is done by a force on an object that moves with constant velocity, where the velocity does not have a component along the direction of the force. — This is also true because if there's no component of velocity in the direction of the force, no work is done.
  • E: No work is done by a force if the object on which the force is acting does not move. — This is true because work requires displacement.

Since options B, C, D, and E are all true statements regarding the concept of work, by elimination, the answer is A: All of the statements are true; none is false, is the false statement regarding the concept of work in physics.

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