To solve this problem it is necessary to apply the concepts related to gravity as an expression of a celestial body, as well as the use of concepts such as centripetal acceleration, angular velocity and period.
PART A) The expression to find the acceleration of the earth due to the gravity of another celestial body as the Moon is given by the equation

Where,
G = Gravitational Universal Constant
d = Distance
M = Mass
Radius earth center of mass
PART B) Using the same expression previously defined we can find the acceleration of the moon on the earth like this,



PART C) Centripetal acceleration can be found throughout the period and angular velocity, that is

At the same time we have that centripetal acceleration is given as

Replacing



Answer:
77.05N of force
Explanation:
Detailed explanation and calculation is shown in the image below
Answer
given,
mass of the ball = 3 kg
swing in vertical circle with radius = 2 m
work done by the gravity = ?
work done by the tension = ?
Work done by the gravity = - m g Δh
Δ h = 2 + 2 = 4 m
Work done by the gravity =
= -117.6 J
work done by gravity is equal to -117.6 J
Work done by tension will be equal to zero.
Zero because tension is always perpendicular to velocity
work done by tension is equal to 0 J
Answer:
Force applied to smaller cross section is
= 82.63 N
Explanation:
As we know

where
signifies the weight of the two chair in a hydraulic-lift system
And
signifies the area of the two respective chairs in a hydraulic-lift system
Given -
N
Square centimeter
Square centimeter
Substituting the given values in above equation, we get -

Force applied to smaller cross section is
= 82.63 N
Answer:
Time taken by the leaf to displace by 1.0 m distance is
seconds
Explanation:
As we know that initial velocity of the leaf is given as

now the acceleration upwards for the leaf is

The displacement of leaf in upward direction is
d = 1 m
so now we have


seconds