Let F be the magnitude of the frictional force. This force performs an amount of work W on the bullet such that
W = -Fx
where x is the distance over which F is acting. This is the only force acting on the bullet as it penetrates the tree. The work-energy theorem says the total work performed on a body is equal to the change in that body's kinetic energy, so we have
W = ∆K
-Fx = 0 - 1/2 mv²
where m is the body's mass and v is its speed.
Solve for F and plug in the given information:
F = mv²/(2x)
F = (0.00426 kg) (881 m/s)² / (2 (0.0444 m))
F = 37,234.8 N ≈ 37.2 kN
There are exactly three ways that could happen:
1). The container was heated, and the gas inside it got warmer.
2). Some part inside the container moved somehow, and made
the inside volume smaller, so the gas got scrunched into a
smaller space.
3). Somebody pumped some more gas into the container, so
a greater amount of gas had to live in the same space.
Answer:
a. The spheres will attract each other.
Explanation:
When two conducting spheres are connected by a conducting wire and a negatively charged rod is brought near it then this will induce opposite (positive) charge at the nearest point on the sphere and by the conservation of charges there will also be equal amount of negative charge on the farthest end of this conducting system this is called induced polarization.
- When the conducting wire which joins them is cut while the charged rod is still in proximity to of one of the metallic sphere then there will be physical separation of the two equal and unlike charges on the spheres which will not get any path to flow back and neutralize.
- Hence the two spheres will experience some amount of electrostatic force between them.
The impulse J is equal to the magnitude of the force applied to the cannonball times the time it is applied:
But the impulse is also equal to the change in momentum of the cannonball:
If we put the two equations together, we find
And since we know the magnitude of the average force and the time, we can calculate the change in momentum:
Based on Newton's Law, the event is not fair because:
<span>No, because a basketball is bigger than a baseball, and objects that are bigger accelerate slower.
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
