Answer:
2.67kg
Explanation:
The maximum velocity,
of a body experiencing simple harmonic motion is given by equation (1);

where
is the angular velocity and A is the amplitude.
The problem describes the oscillation of a loaded spring, and for a loaded spring the angular velocity is given by equation (2);

where k is the force constant of the spring and m is the loaded mass.
We can make
the subject of formula in equation (1) as follows;

We then combine equations (2) and (3) as follows;

According to the problem, the following are given;

We then substitute these values into equation (4) and solve for the unknown mass m as follows;


Squaring both sides, we obtain the following;

Answer:
Proof is given below
Explanation:
The length contraction is given by Δx = Δx' *√(1 - v² / c²)
where Δx' is the proper length and is measured in the frame where the object is at rest
Since the y' and z' axes are perpendicular to the direction of motion there is no contraction
So if you let V0 = Δy' * Δz' *Δx'
and V = Δy * Δz * Δx = Δy'* Δz' * Δx
Then
V = V0 * √(1 - v² / c²)
Answer:
Inverse Square Law Newton proposed the Inverse Square Law. The effect of gravity (and also on forces such as sunlight) works like this. If say we have a half-mass Earth, it would produce a gravity of not half but a quarter (the square of 2).