Work, Energy and power questions

AI Thread Summary
A 500W motor is used to pull a 12kg mass, and the initial calculations for maximum speed were incorrect due to misunderstanding the force involved. The force should be calculated based on the motor's output rather than gravitational force. The correct approach involves using the power formula, P = work/time, to determine the maximum speed. For the pendulum question, the calculations for potential energy loss and maximum speed were mostly accurate, with minor adjustments needed for clarity. The discussion emphasizes the importance of correctly applying formulas in physics problems.
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A 500w motor is used to pull a 12kg mass along a level surface from rest. If the motor is on for 10 seconds, what is the maximum speed that the mass can reach?
p=fs which i rearranged to s=p/f so to work out the force i did 12*9.81=117.72, so I put into the equation s=500/117.72=4.25
Have i done this question right?

And also another question on my homework which I'm not too sure about is:
A pendulum bob of mass 200g is raised 10cm above its resting position and allowed to swing freely. Calculate (a) its loss of potential energy in returning to its resting position (b) its maximum speed as it returns to its resting position (c) its speed when it is 5cm above resting position.
(a)
deltaEp=mg*h or W=fs
0.2x9.81=1.962
deltaEp=1.962*0.1=0.1962j

(b)
Ek=1/2mass*speed^2
speed^2=Ek / 1/2mass
speed^2=0.1962/0.1
speed^2=1.962
speed=1.4ms^-1

(c)
deltaEp=1.962*0.05
deltaEp=0.0981J
speed^2=0.0981/0.025
speed=1.98ms^-1

thanks in advance :)
 
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A 500w motor is used to pull a 12kg mass along a level surface from rest. If the motor is on for 10 seconds, what is the maximum speed that the mass can reach?
p=fs which i rearranged to s=p/f so to work out the force i did 12*9.81=117.72, so I put into the equation s=500/117.72=4.25
Have i done this question right?
No. The F in P = F*v is the force pushing the object, not the force of gravity. That formula isn't all that useful in this question. Maybe begin with Power = work/time. No friction?
 
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