To solve this problem we will apply the principle of conservation of energy, for which the initial potential and kinetic energy must be equal to the final one. The final kinetic energy will be transformed into rotational and translational energy, so the mathematical expression that approximates this deduction is
KE_i+PE_i = KE_{trans}+KE_{rot} +PE_f
, since initially cylinder was at rest
since at the ground potential energy is zero
The mathematical values are,
Here,
m = mass
g= Gravity
h = Height
V = Velocity
moment of Inertia in terms of its mass and radius
Angular velocity in terms of tangential velocity and its radius
Replacing the values we have that
mgh = \frac{1}{2} mv^2 +\frac{1}{2} (\frac{mr^2}{2})(\frac{v}{r})^2
gh = \frac{v^2}{2}+\frac{v^2}{4}
v = \sqrt{\frac{4gh}{3}}
From trigonometry the vertical height of inclined plane is the length of this plane for , then
Replacing,
Therefore the cylinder's speedat the bottom of the ramp is 3.32m/s
a = (152 - 80)/18 = 4 m/s2
d = v0t + ½at2 = 80*18 + ½*4*18^2 = 2088 m
Hey there!
We'll start with the first law, the law of inertia, which states:
"an object in motion will stay in motion moving at the same speed in the same direction unless acted on by an outside force".
Let's imagine you're playing soccer with your friends. You kick the ball at them really hard, and they're the goalie. It goes in the same direction in a straight line, and then they catch it - the unbalanced force. There's a change in motion there, and that change in motion depends on the inertia of an object- it's tendency to resist change in motion. Inertia even applies to planets. Wonder why out Earth's orbit is an ellipse? By natural standards of physics, the Earth goes straight when it's not pulled into orbit when here it is. It still has that tendency to go straight, but the Sun pulls it towards itself, creating a motion in which the Earth is trying to go straight, but the Sun's more powerful.
The second law is pretty much summarized by the famous equation f = ma. The law, summed up, states,
"The net force of an object is equal to the mass of the object times its acceleration."
If you tried to give a push to a small box with efficient wheels, it'd go pretty far. This is because it has not a lot of mass, and the force required isn't a lot. However, if we had a large box on the ground, the force required to move it would be larger, as it's more massive and doesn't have any acceleration. Imagine a shopping cart filled to the ceiling with cereal. It would require a lot of force, wouldn't it? Be sure to think about that.
Last one. Newton's third law is perhaps the most famous. It states,
"<span>For every action, there is an equal and opposite reaction".
</span>This is probably the hardest one to understand. Let's try an example. Have you ever accidentally not tightened your balloon, and it started to fly up? That's an application of Newton's third law. The air comes out from the bottom, and the balloon flies up - that's an opposite reaction; up and down. It's the same thing with a rocket. The same force to propel it up is exerted on the ground - an equal reaction.
Hope this helps! Be sure to let me know if you have any questions :)
Answer: d constint speed
Explanation: im 15 and no the answer
Answer:
True
the reason why I chose tire is because when you put a straw in a cup of water the water refract or bend