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Grade 12Mechanics

A ramp is placed at an angle of 30 degrees (scenario A) and then again at an angle of 60 degrees (scenario B). In each scenario the same cart is elevated to the same height. All frictional forces are negligible. Which scenario requires greater change in energy to elevate the cart? Which scenario requires greater force

  1. Scenario A requires greater energy and scenario B requires greater force.

  2. Scenario B requires greater energy and scenario A requires greater force.

  3. Scenarios A and B require the same energy, but scenario A uses greater force.

  4. Scenarios A and B require the same energy, but scenario B uses greater force.

  5. Scenarios A and B require the same energy and the same amount of force.

Profile image of Mason Hu
7 Years agoGrade 12
Answers icon

1 Answer

Profile image of Saurav
7 Years ago
Ans should be D
As we r elevating to same height same energy is spent = mgh
 
 
N = mgcostheta
Component of N against gravity is N costheta sintheta
As the angles are 60 and 30 degree , work done by N is same in both
Now work done by forces should be same 
So the component of force against the gravity should be equal therefore f sin theta should be equal as sin theta is smaller in scenario A force f should be greater

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