Work (of worker, gravity, normal, total)

Remember to use the angle of 25° for part B when calculating the gravitational force. Also, for part D, make sure to include the negative sign for the work done by gravity. In summary, the problem involves pushing a crate up a frictionless incline with a force of 209 N at an angle of 25.0°. The worker exerts a force of 314 J, the gravitational force does -155 J on the crate, and the normal force does 0 J. The total work done on the crate is 159 J.
  • #1
Fizic
23
0
This is my first problem set involving work, so I want to make sure I'm doing it right. Thanks for checking.

Homework Statement


To push a 25.0 kg crate up a frictionless incline, angled at 25.0° to the horizontal, a worker exerts a force of magnitude 209 N parallel to the incline. As the create slides 1.50 m, how much work is done on the crate by (a) the worker's applied force, (b) the gravitational force on the crate, and (c) the normal force exerted by the incline on the create? (d) What is the total work done on the crate?


Homework Equations


W=Fdcos[itex]\theta[/itex]
Fg=mg

The Attempt at a Solution



A) W=209*1.50*cos0
=313.5
=314 J

B) Wg=Fdcos[itex]\theta[/itex]
=(9.8*2.50)*1.5*cos(115)
=-155.31
=-155. J

C) 0 J, since Fn is always perpendicular to movement along flat surface

D) Wnet=Wa+Wb+Wc...
=314-155
=159 J
 
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  • #2
Looks good!
 

FAQ: Work (of worker, gravity, normal, total)

What is work?

Work is defined as the product of the force applied to an object and the distance that object moves in the direction of the force.

How is work calculated?

Work is calculated by multiplying the force applied to an object by the distance that object moves in the direction of the force. The unit of work is joules (J).

What is the role of gravity in work?

Gravity is a force that acts on objects to pull them towards the center of the Earth. When an object is lifted against the force of gravity, work is done against gravity.

What is the difference between normal work and total work?

Normal work refers to the work done by a force that is perpendicular to the displacement of the object, while total work takes into account all forces acting on the object, including those that are not perpendicular to the displacement.

How does work relate to energy?

Work and energy are closely related concepts. Work is the transfer of energy from one object to another, or from one form to another. The work done on an object is equal to the change in its energy.

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