Calculating Work Done by a Child Pulling a Toy Car

AI Thread Summary
To calculate the work done by a child pulling a toy car, the formula used is work = force x displacement. In this case, the work is calculated as W = (123 N)(10 m) cos(25 degrees), resulting in 1114.8 J. The child's height and the car's mass do not affect the calculation of work in this scenario. The consensus is that the calculation is correct, and the child's height is irrelevant to the problem. Overall, the work done by the child is confirmed to be 1114.8 J.
j doe
Messages
37
Reaction score
2

Homework Statement


A child 1.52 meters tall pulled a 2.54 kg toy car for 10 meters. The car has a string attached to it, and when pulled creates a 25 degree angle from the horizon. If the string has a force of 123 N on it while being pulled, how much work did the child do?

Homework Equations


work = force x displacement

The Attempt at a Solution


W = (123 N)(10 m) cos(25 degrees) = 1114.8 J

is this correct? does the child's height have anything to do with the problem?
 
Physics news on Phys.org
j doe said:
W = (123 N)(10 m) cos(25 degrees) = 1114.8 J

is this correct?
Yep! Good!

j doe said:
does the child's height have anything to do with the problem?
Nope. (Neither does the car's mass.)
 
Seems okay to me and no, the child's height is irrelevant.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top