Calculating Work on Incline: Solving for Gravitational Force Work

In summary, a horizontal force of magnitude 197 N is used to push a 5 kg box a distance of 13 m up a frictionless incline with a slope of 34°. The work done on the box by the gravitational force during this displacement is -358.1 J. This is because work done by an external force is positive, while work done by gravity is stored as negative potential energy.
  • #1
mrnastytime
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0

Homework Statement


A horizontal force of magnitude F = 197 N is used to push a box of mass m = 5 kg from rest a distance d = 13 m up a frictionless incline with a slope q = 34°.


Homework Equations


How much work is done on the box by the gravitational force during this same displacement?


The Attempt at a Solution


Wg=mgh
Wg=5*9.81*7.3
i got 7.3 by using sin34=h/13
Wg=358.1 J
The answer i got is wrong according to the online hw. What am i missing? did i use the wrong formula?
 
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  • #2
Maybe it would be negative?

Work by you is +, work by gravity is stored as potential = (-)?
 
  • #3
wow, it is negative. thank you very much!
 

1. What is a block on incline?

A block on incline is a physics concept that involves a block or object being placed on an inclined plane or surface. The incline creates a gravitational force that acts on the block, causing it to either move up or down the incline.

2. How is work defined in the context of a block on incline?

Work is defined as the amount of energy transferred to or from an object when a force is applied to it. In the context of a block on incline, work is the product of the force applied to the block and the distance it moves in the direction of the force.

3. What factors affect the work done on a block on incline?

The work done on a block on incline is affected by the force applied to the block, the distance it moves, and the angle of the incline. The steeper the incline, the less work is required to move the block a certain distance.

4. How is the work done on a block on incline calculated?

The work done on a block on incline can be calculated using the formula W = Fd cosθ, where W is the work done, F is the applied force, d is the distance moved, and θ is the angle of the incline.

5. What are some real-world applications of the concept of block on incline and work?

The concept of block on incline and work is used in a variety of fields such as engineering, construction, and sports. It is used to determine the amount of force and work needed to move objects on inclined planes, such as ramps and hills. In sports, it is used to calculate the work done by athletes when they run or climb uphill.

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