This equation description the force between any two object in the universe in the equation F is the force of the gravity Newton lawe
Answer:

Given:
Mass (m) = 6 kg
Speed (v) = 4 m/s
To Find:
Kinetic energy (KE)
Explanation:
Formula:

Substituting values of m & v in the equation:




Solution :
The distance between the starting point and the end point,
= 10 light years
But due to the relativistic motion of Bob and Charlie, the distance will be reduced following the Lorentz contraction. The contracted length will be different since they are moving with different speeds.
For Bob,
Speed of Bob's rocket with respect to Alice, 
So the distance appeared to Bob due to the length contraction,



Therefore, the time required to finish the race by Bob is


= 10.143 year
For Charlie,
Speed of Charlie's rocket with respect to Alice, 
So the distance appeared to Charlie due to the length contraction,



The time required to finish the race by Charlie is


= 5.77 year
Answer:
v= - 4.507 i - 2.363 j
Explanation:
Given that
mc= 1490 kg
vc= 9.5 m/s ( - i)
mt= 1650 kg
vt = 6.4 m/s ( -j)
There is any external force so linear momentum will remain conserve.
Lets take final speed is v.
mc .vc + mt . vt = ( mc+mt) v
1490 x 9.5 ( - i) + 1650 x 6.4 ( -j) = ( 1490+1650) v
14,155 ( -i) + 10,560 ( - j) = 3140 v
v= - 4.507 i - 2.363 j
Answer:
1. increases
2. increases
3. increases
Explanation:
Part 1:
First of all, since the box remains at rest, the horizontal net force acting on the box must equal zero:
F1 - fs = 0.
And this friction force fs is:
fs = Nμs,
where μs is the static coefficient of friction, and N is the normal force.
Originally, the normal force N is equal to mg, where m is the mass of the box, and g is the constant of gravity. Now, there is an additional force F2 acting downward on the box, which means it increases the normal force, since the normal force by Newton's third law, is the force due to the surface acting on the box upward:
N = mg + F2.
So, F2 is increasing, that means fs is increasing too.
Part 2:
As explained in the part 1, N = mg + F2. F2 is increasing, so the normal force is thus increasing.
Part 3:
In part 1 and part 2, we know that fs = Nμs, and since the normal force N is increasing, the maximum possible static friction force fs, max is also increasing.