By definition we have that the energy at the top of the ramp is equal to the energy at the bottom of the ramp. This is due to the principle of energy conservation.
We have then:

The energy at the top is only potential energy:

Where,
- <em>m: mass
</em>
- <em>g: acceleration of gravity
</em>
- <em>h: vertical height of the ramp
</em>
The energy when it falls is transformed into kinetic energy and therefore:

Where,
- <em>v: object speed.
</em>
Therefore we have:

Answer:
The potential energy is transformed into kinetic energy.

Answer:
The magnitude and direction of the force applied by Steinberg are approximately 15.192 newtons and 126.704º.
Explanation:
The chew toy is at equilibrium and experimenting three forces from three distinct dogs. The Free Body Diagram depicting the system is attached below. By Newton's Laws we construct the following equations of equilibrium: (<em>Sp</em> is for Spot, <em>F</em> is for Fido and <em>St</em> is for Steinberg) All forces and angles are measured in newtons and sexagesimal degrees, respectively:
(1)
(2)
If we know that
,
and
, then the components of the force done by Steinberg on the chewing toy is:





The magnitud of the force is determined by Pythagorean Theorem:



Since the direction of this force is in the 3rd Quadrant on Cartesian plane, we determine the direction of the force with respect to the eastern semiaxis:


The magnitude and direction of the force applied by Steinberg are approximately 15.192 newtons and 126.704º.
V=s/t. All you need to do is
s=v×t=330×1.8
Answer:
bro just go to an easier class
Explanation:
#nerd
Answer:
The gain in velocity is 0.37m/s
Explanation:
We need solve this problem though the conservation of momentum. That is,


Using the equation to find
,

Using the conservation of energy equation, we have,




Now this energy over the cannonball



The gain in velocity is 0.37m/s