Answer:Expression given below
Explanation:
Given mass of spring
Compression in the spring
Let the spring constant be K
Using Energy conservation
potential energy stored in spring =Kinetic energy of Block


now conserving momentum


where
is the final velocity
Answer:
The length of the stick is 0.28 m.
The time the stick take to move is 0.97 ns.
Explanation:
Given that,
Relative speed of stick v= 0.96 c
Speed of light 
Proper length of stick = 1 m
We need to calculate the length of the stick
Using formula of length

Put the value into the formula



We need to calculate the time the stick take to move
Using formula of time

Put the value into the formula



Hence, The length of the stick is 0.28 m.
The time the stick take to move is 0.97 ns.
3 ways would be they are used for movement, form structure and carry out reactions, processes, and cells
Answer:
The time period of the motion is, T = 0.03 s
The frequency of the rotation is, f = 30 Hz
Explanation:
Given data,
The rotational speed of an object, ω = 30 rpm
ω = 188.5 rad/s
The time period of motion is,
T = 2π / ω
Substituting the given values in the above equation
= 2π / 188.5
T = 0.03 s
The time period of the motion is, T = 0.03 s
The frequency of rotation,
f = 1 /T
= 1 / 0.03
= 30 Hz
Hence, the frequency of the rotation is, f = 30 Hz