Find the work done on the car by a string

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SUMMARY

The discussion focuses on calculating the work done on a car attached to a hanging mass via a string on an inclined ramp. The car has a mass of 0.5 kg, and the hanging mass is 0.055 kg, with an incline angle of 3.47 degrees and an acceleration of 0.587 m/s². The user initially attempts to apply the formula W = Fd cos(x) but later calculates work using the change in potential energy, resulting in -0.098 J. The conversation also emphasizes the need to determine effort force and resistance force, considering potential friction on the ramp.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with work-energy principles
  • Knowledge of gravitational potential energy calculations
  • Basic concepts of forces, including effort and resistance forces
NEXT STEPS
  • Learn how to calculate work done using W = Fd cos(x) with specific examples
  • Study the principles of kinetic energy and its relation to motion on an incline
  • Research methods for calculating frictional forces on inclined planes
  • Explore the relationship between potential energy and work done in mechanical systems
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Students in physics labs, educators teaching mechanics, and anyone interested in understanding work and energy in inclined systems.

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Ok, so I'm doing a lab. A car is attached to a mass by a string. The car sits on an inclined ramp. At the end of the ramp there's a pulley where the hanging mass is hangs from.

I collected the following date:

the mass of the car is .5 kg
the mass of the hanging mass if .055 kg
the angle of incline is 3.47 degrees
the car's acceleration up the ramp is .587 m/s^2
the length of the ramp up which the car travels is .651 m

I want to find the work done on the car using this data.

Perhaps I can use W=Fdcosx ? I DON'T KNOW! I need help because when I do m,total*acc*d*cos x , i don't think this is right


i calculated the work done on the car another way, by using W=change in potential energy.

its change in vertical height up the ramp is .02 m ... so the work would be m,car*g*change in height = -.098J


RIGHTT?? but i need to use the other way..
 
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also in this same lab i need to find effort force and resistance force!? I DON'T EVEN KNOW WHAT THOSE ARE.
 
There is possibly friction between the car and the plane, which is the resistant force. Confirm this with your teacher. If that is so, the following should give you enough hint to go on.

1. Find the speed of the car when it reaches the topmost point. You can do it because you know the accn. Then you have the final KE of the car.
2. The hanging mass and the car have the same speed since they are tied together. So, you have the final KE of the hanging mass.
3. They have traveled the same distance.
4. Now think where the difference of the initial total E and the final total E has gone. (Remember to include both bodies, not just the hanging mass.)
5. Find the resistant force.
 

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