The system's tension is 616 N and acceleration is 5.6 
<u>Explanation:</u>
From newton’s second law of motion which state that net force acting on a body is product of mass of a body and acceleration of a body which is given as,

Where,
is net force acting on body
is mass of body
a is acceleration of body
Given values
Table mass (m) = 30 kg
Hanging mass (m) = 40 kg

Put the value for m = hanging mass = 40 kg and
, we get

The tension in the ropes, 
Here, m as hanging mass
T = tension, N or 
m = mass, kg
g = gravitational force, 
a = acceleration, 

It’s cause by the fact that the earth is tilted 23.5 degrees
Answer:

Explanation:
Momentum is the product of velocity and mass. The formula is:

We know the rock is falling. Its momentum is 200 kilograms meters per second and its velocity is 5 meters per second. Substitute the values into the formula.

We are solving for m, the mass. We must isolate the variable. It is being multiplied by 5 meters per second. The inverse of multiplication is division, so we divided both sides by 5.0 m/s.


The units of meters per second (m/s) cancel.


The falling rock has a mass of <u>40 kilograms.</u>
The spring constant is 4 N/m
Explanation:
When a spring is stretched/compressed by the application of a force, the relationship between the magnitude of the force applied and the elongation of the spring is given by Hooke's law:

where
F is the magnitude of the spring applied
k is the spring constant
x is the elongation of the spring, relative to its equilibrium position
For the spring in this problem, we have:
F = 0.12 N (force applied)
x = 3 cm = 0.03 m (elongation of the spring)
Therefore, we can solve the formula for k to find the spring constant:

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Explanation:
This is true because at maximum height, the velocity is 0