a kid slides down an icy hill starting from rest. At the top his gravitational potential energy is 500J. His kinectic energy at the bottom will be?
After reaching the bottom he then continues sliding up another icy slop on the other side, when he finally comes to a stop he will have reached a height?
it will be 26
To solve this problem, we need to understand the conservation of energy. At the top of the hill, the kid has gravitational potential energy (PE) which can be calculated using the formula:
PE = mgh
where m is the mass, g is the acceleration due to gravity, and h is the height.
Since we are given the gravitational potential energy (PE) as 500J, we can rearrange the formula to solve for h:
h = PE / (mg)
Now, since the kid starts from rest at the top of the hill, his initial kinetic energy (KE) is zero.
At the bottom of the hill, all of the gravitational potential energy (PE) will be converted into kinetic energy (KE) due to the conservation of energy. So, the kinetic energy at the bottom of the hill can be calculated using the formula:
KE = PE
Therefore, the kinetic energy at the bottom of the hill will be 500J.
Now, regarding the second part of the question, when the kid continues sliding up another icy slope on the other side, his kinetic energy will decrease as he moves against the gravitational force. Finally, when he comes to a stop, all of his kinetic energy will be converted back into potential energy at the new height.
Since we do not have any information regarding the distance or the angle of the slope on the other side, we cannot determine the exact height. However, we do know that the potential energy at the new height will be equal to the kinetic energy he had at the bottom of the first hill, which is 500J.
So, the height at which the kid comes to a stop will be determined by the equation:
PE = mgh
where m is the mass, g is the acceleration due to gravity, and h is the height.
By rearranging this equation, we can solve for h:
h = PE / (mg)
Plugging in the value of PE as 500J, we can see that the exact height will depend on the mass of the kid.