Work Done on Sled by Rope: 5.0s, 250N, 470N

In summary, a sled with a total weight of 470 N is being dragged at 1.5 m/s along a horizontal path by a rope inclined at 30 degrees. The tension in the rope is 250 N and only the horizontal component of the tension performs work. The work done by the rope on the sled in a time interval of 5.0 s can be calculated by multiplying the horizontal component of tension by the horizontal speed and then multiplying that by the time interval. The horizontal component of tension is given by 250 N multiplied by the cosine of 30 degrees.~~
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evan4888
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A sled is dragged along a horizontal path at a constant speed of 1.5 m/s by a rope that is inclined at an angle of 30 degrees with respect to the horizontal. The total weight of the sled is 470 N. The tension in the rope is 250 N. How much work is done by the rope on the sled in a time interval of 5.0 s?

http://www.webassign.net/grr/chapter-06/fig-024.gif
 
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What have you tried?
 
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evan4888 said:
A sled is dragged along a horizontal path at a constant speed of 1.5 m/s by a rope that is inclined at an angle of 30 degrees with respect to the horizontal. The total weight of the sled is 470 N. The tension in the rope is 250 N. How much work is done by the rope on the sled in a time interval of 5.0 s?

http://www.webassign.net/grr/chapter-06/fig-024.gif
HINTS:
a) Only the Tension horizontal component performs work since the motion is purely horizontal.
b) The Tension horizontal component is given by {(Tension)*cos(30 deg)}={(250 N)*cos(30 deg)}
c) {Tension Power Delivered} = {Tension Horizontal Component}*{Horizontal Speed}
d) {Tension Work Performed During Time Interval} = {Tension Power Delivered}*{Time Interval}
HOPE THIS HELPS.


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FAQ: Work Done on Sled by Rope: 5.0s, 250N, 470N

What is the formula for calculating work done on a sled by a rope?

The formula for calculating work is W = Fd, where W is work, F is force, and d is displacement.

How do you calculate the work done on a sled when given the time, force, and displacement?

To calculate work, you will need to use the formula W = Fd. First, multiply the given force by the displacement. Then, divide the result by the time to get the work done on the sled.

What is the unit of measurement for work done?

The unit of measurement for work is joules (J).

Can you explain what the given values of 5.0s, 250N, and 470N represent?

The given values represent the time (5.0 seconds), force applied (250 Newtons), and force of resistance (470 Newtons) in the scenario of work being done on a sled by a rope.

How does the work done on the sled by the rope affect the sled's motion?

The work done on the sled by the rope contributes to the sled's overall kinetic energy, which affects its motion. If the work done is positive, the sled's kinetic energy will increase and it will move faster. However, if the work done is negative, the sled's kinetic energy will decrease and it will move slower or come to a stop.

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