Block sliding down an incline - Find the Work

In summary, a block slides down an incline from point A to point B, a distance of 7.2 m. The force acting on the block is 4.4 N, directed down the incline, and there is a frictional force of 5.5 N. The kinetic energy of the block increases by 32 J between A and B. The question asks for the work done on the block by the gravitational force as it moves from point A to point B. To solve this, we can use a free body diagram to identify the forces acting on the block and determine which ones do work. Then, we can use the change in kinetic energy to calculate the total work done on the block.
  • #1
mb85
44
0
In Fig. 8-49, a block slides down an incline. As it moves from point A to point B, which are 7.2 m apart, force acts on the block, with magnitude 4.4 N and directed down the incline. The magnitude of the frictional force acting on the block is 5.5 N. If the kinetic energy of the block increases by 32 J between A and B, how much work is done on the block by the gravitational force as the block moves from A to B?

http://edugen.wiley.com/edugen/courses/crs1062/art/qb/qu/c08/Fig08_49.gif
 
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  • #2
how does work for a non-conservative system and changes in energy relate. use this relationship, to express the change in potential in terms of work.
 
  • #3
mb85 said:
In Fig. 8-49, a block slides down an incline. As it moves from point A to point B, which are 7.2 m apart, force acts on the block, with magnitude 4.4 N and directed down the incline. The magnitude of the frictional force acting on the block is 5.5 N. If the kinetic energy of the block increases by 32 J between A and B, how much work is done on the block by the gravitational force as the block moves from A to B?

Nasty! :yuck:

Some hints:

Sketch a FBD. What forces do we know are on the block? (There are 4 of them.) Which of these forces do work as the block is pushed down the incline? (3 of them do.) We know how much the kinetic energy has changed by, what does that tell us about the total work done on the object?

-Dan
 

What is work in physics?

In physics, work is defined as the product of the force applied to an object and the displacement of the object in the direction of the force.

What is the formula for calculating work?

The formula for calculating work is W = F * d * cos(theta), where W is work, F is the force applied, d is the displacement of the object, and theta is the angle between the force and displacement vectors.

How do you find the work done by a block sliding down an incline?

To find the work done by a block sliding down an incline, you can use the formula W = m * g * d * sin(theta), where m is the mass of the block, g is the acceleration due to gravity, d is the displacement of the block, and theta is the angle of the incline.

What factors affect the work done by a block sliding down an incline?

The work done by a block sliding down an incline is affected by the mass of the block, the angle of the incline, and the force of gravity. Friction can also affect the work done if it is present on the incline.

How is the work-energy theorem related to a block sliding down an incline?

The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. In the case of a block sliding down an incline, the work done by gravity is equal to the change in the block's kinetic energy, which can be calculated using the formula KE = 1/2 * m * v^2.

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