Answer
when there are ten they don't grow so well but when there is less than 10 they tend to grow
It is by gaining! I just learned this in school. Hope this helps:)
Earlier, we stated Newton's first law as “A body at rest remains at rest or, if in motion, remains in motion at constant velocity unless acted on by a net external force.” It can also be stated as “Every body remains in its state of uniform motion in a straight line unless it is compelled to change that state by forces
For example-A stationary object with no outside force will not move. With no outside forces, a moving object will not stop. An astronaut who has their screwdriver knocked into space will see the screwdriver continue on at the same speed and direction forever.
Answer: Workdone293.02KJ
Explanation: The equation to use to calculate Workdone = Change in KE + Change in PE
Assuming velocity is constant,KE becomes 0
Workdone= Change in PE=mg
W=92×9.8×325=293.02KJ
Answer:
W = 0.678 rad/s
Explanation:
Using the conservation of energy:
![E_i =E_f](https://tex.z-dn.net/?f=E_i%20%3DE_f)
Roll up and hill without slipping is the sumatory of two energys, rotational and translational, so:
![\frac{1}{2}IW^2+ \frac{1}{2}mV^2 = mgh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DIW%5E2%2B%20%5Cfrac%7B1%7D%7B2%7DmV%5E2%20%3D%20mgh)
where I is the moment of inertia, W the angular velocity at the base of the hill, m the mass of the ball, V the velocity at the base of the hill, g the gravity and h the altitude.
First, we will find the moment of inertia as:
I =![\frac{2}{3}mR^2](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7DmR%5E2)
where m is the mass and R the radius, so:
I =![\frac{2}{3}(0.426kg)(11.3m)^2](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%280.426kg%29%2811.3m%29%5E2)
I = 36.26 Kg*m^2
Then, replacing values on the initial equation, we get:
![\frac{1}{2}(36.26)W^2+ \frac{1}{2}(0.426kg)V^2 = (0.426kg)(9.8)(5m)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2836.26%29W%5E2%2B%20%5Cfrac%7B1%7D%7B2%7D%280.426kg%29V%5E2%20%3D%20%280.426kg%29%289.8%29%285m%29)
also we know that:
V =WR
so:
![\frac{1}{2}(36.26)W^2+ \frac{1}{2}(0.426kg)W^2R^2 = (0.426kg)(9.8)(5m)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2836.26%29W%5E2%2B%20%5Cfrac%7B1%7D%7B2%7D%280.426kg%29W%5E2R%5E2%20%3D%20%280.426kg%29%289.8%29%285m%29)
Finally, solving for W, we get:
![W^2(\frac{1}{2}(36.26)+ \frac{1}{2}(0.426kg)(11.3m)^2) = (0.426kg)(9.8)(5m)](https://tex.z-dn.net/?f=W%5E2%28%5Cfrac%7B1%7D%7B2%7D%2836.26%29%2B%20%5Cfrac%7B1%7D%7B2%7D%280.426kg%29%2811.3m%29%5E2%29%20%3D%20%280.426kg%29%289.8%29%285m%29)
W = 0.678 rad/s