Answer:
Part a)

Part b)

Explanation:
Time period of sun is given as



Now the radius of the orbit of sun is given as



Part a)
centripetal acceleration is given as




Part b)
orbital speed is given as



Answer : Height, h = 20.4 m
Explanation :
It is given that,
Mass of an object, m = 500 g = 0.5 kg
Gravitational potential energy, PE = 100 J
The Gravitational potential energy is the energy which is possessed due to the height and gravity of an object. It is given as :
PE = m g h
where,
h is the height of the cliff.

h = 20.40 m
So, the height of the cliff is 20.4 m.
Answer:
Explanation:
Given,
initial angular speed, ω = 3,700 rev/min
=
final angular speed = 0 rad/s
Number of time it rotates= 46 times
angular displacement, θ = 2π x 46 = 92 π
Angular acceleration



Answer:
The final velocity of the car A is -1.053 m/s.
Explanation:
For an elastic collision both the kinetic energy and the momentum of the system are conserved.
Let us call
= mass of car A;
= the initial velocity of car A;
= the final velocity of car A;
and
= mass of car B;
= the initial velocity of car B;
= the final velocity of car B.
Then, the law of conservation of momentum demands that

And the conservation of kinetic energy says that

These two equations are solved for final velocities
and
to give


by putting in the numerical values of the variables we get


and


Thus, the final velocity of the car A is -1.053 m/s and of car B is 3.49 m/s.
Answer : D) Circuit A
This circuit is the only circuit where it is not complete, having and open spot towards the bottom of it, making it and open circuit.