Mechanics Question of a wheel chair

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Homework Help Overview

The problem involves a wheelchair moving up a ramp at a constant speed, with a focus on calculating the force required to maintain that speed and the power exerted during the movement. The ramp's angle and the weight of the wheelchair user are specified, while friction is to be ignored.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the forces acting on the wheelchair, including gravity and the normal force, while questioning how to determine the force needed for constant speed. There is mention of using the sine rule to find the height of the ramp and the relationship between distance, time, and speed.

Discussion Status

Some participants have provided hints regarding the equilibrium of forces for constant speed, while others express confusion about the calculations involved. There is an ongoing exploration of the forces at play and how they relate to the problem's requirements.

Contextual Notes

Participants note the assumption of ignoring friction and the need to consider the components of forces acting parallel to the ramp. There is also a recognition that the problem does not require finding the actual speed of the wheelchair.

EIRE2003
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A person in a wheel chair is moving up a ramp at a constant speed. Their total weight is 900N. The ramp makes an angle of 10degrees to the horizon.
Calculate the force required to keep the wheel chair moving at constant speed up the ramp.
(You may ignore the effects of friction)

The ramp is 5m long. Calculate the power exerted by the person in the wheel chair if it takes her 10s to travel up the ramp.

Here is what i have done :confused:

- I used the SINE Rule to find the inclined height of the ramp, i found it to be .87m.

- Power = work/time.
 
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Start by finding the force needed to move the chair at constant speed up the ramp. Hint: Constant speed up the ramp means equilibrium. What are all the forces acting on the chair?
 
I still don't understand how to find the constant speed up the ramp??

All the forcesacting on the chair are gravity, friction (but friction is to be ignored). Is that it?
 
EIRE2003 said:
I still don't understand how to find the constant speed up the ramp??
If you want to find the speed you need distance and time. You are given both. (But you don't need to find the speed.)
All the forcesacting on the chair are gravity, friction (but friction is to be ignored). Is that it?
The forces acting on the chair are: gravity pulling down, the normal force of the ramp pushing on the chair, and the applied force pushing the chair up the ramp.

Consider the components acting parallel to the ramp: The applied force (F) pushing up the ramp, and the component of weight acting down the ramp (mg sinθ). These must balance for the chair to have constant speed.
 

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