Finding work from an inclined plane, basic question

AI Thread Summary
To calculate the work done on a toy car accelerating down a ramp, the mass, acceleration, distance, and friction force must be considered. The user initially attempted to use the formula Ep=Fd but arrived at an incorrect value of 8.848 J. After realizing the importance of net force in the calculations, the correct answer of 13.3 J was determined. The discussion highlights the significance of accounting for all forces, including friction, when calculating work. Understanding the relationship between mass, acceleration, and net force is crucial for solving such physics problems.
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A 1.54 kg green toy car accelerates at 1.70 m/s² down a ramp 3.38 m long. If the force of friction acting on the toy car is 1.31 N, how much work is done on the toy car to get it to the bottom of the ramp?

Formulas:
Ep=mgh
W=fd
F=ma
a=gh/d
Fr=u*Fn

I know the acceleration, mass, and distance. Using the formulas Ep=Fd I can do 1.54 * 1.7 * 3.38 which is 8.848 J but it isn't correct. I also tried finding the height of the ramp by using the formula a= gh/d and by getting height i can use the formula Ep= mgh but still 8.84. The right answer is 13.3 J but i don't see how. Help? please as soon as possible thanks guys!
 
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Never mind totally forgot about net force! Problem solved (:
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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