How would I resolve the fact that the acceleration changes over time as a function of the distance decreasing? I'm not too solid on the possible mathematics that that might entail. Thanks very much.
Homework Statement
The Earth orbits around the sun because it has angular momentum. If we
stopped the Earth in orbit and then let it fall straight towards the
sun, how long would it take to reach the sun in seconds?
Details and assumptions
The mass of the sun is 2×10^30 kg.
The mass of the...
Would it be T/2, since T represents the time for a complete cycle?
hmm, but would ω have any relevance to the problem? Since it's units are s^-1, shouldn't it be equivalent to simply multiply the distance by the angular frequency?
Homework Statement
A gorilla is swinging on vines. Each vine is 30 meters long and the gorilla catches each vine when it is at rest 15 degrees to the left of the (downwards) vertical, swings on it until it stops at an angle of 15 degrees to the right of vertical, and then grabs the next vine at...
Does this problem even meet the criteria to use conservation of kinetic energy? It doesn't seem to be elastic, does it?
Please help, this problem has been bugging me for awhile.
How would a conservation of kinetic energy equation look like?
1/2(M+m)v^2 = 1/2mv1^2 + 1/2Mv2^2 ?
Conservation of momentum: (M+m)v = -mv1 + Mv2 ?
If I solve for v1 using these equations, it turns out very convoluted and does not resemble the answer. I feel as though it should be cleaner than...
Homework Statement
A small block of mass m is moving on a horizontal table surface at initial speed v0. It then moves smoothly onto a sloped big block of mass M. The big block can also move on the table surface. Assume that everything moves without friction
Find the speed v of the small...
Energy is transferred in the form of chemical reactions in your body that fuel your exerting of force. However, no work is done on the 100-kg box due to the fact that there is no movement. The force of static friction counteracts the force you exert.