Answer:
The last option.
Explanation:
Since you are going down, the gravitational potential energy would go down too. Thus, the gravitational potential energy decreases.
Since the gravitational potential energy is converted to kinetic energy when you move down, there is an increase in kinetic energy.
It will move to the right and most likely a tiny bit down
Answer:
9.4 x 10⁴ m/s
Explanation:
In circular or elliptical orbits , the angular momentum is conserved because torque is zero.
mr₁v₁ = mr₂v₂
2.2 x 10¹¹ x 1.8 x 10⁴ = 4.2 x 10¹⁰ v₂
v₂ = 9.42 x 10⁴ m/s.
= 9.4 x 10⁴ m/s
Answer:
The car will travel a distance of 17.45 meters.
Explanation:
Given:
Initial velocity
= 0
Final velocity
= 7.6 m/s
Time taken = 4.6 s
Acceleration = (Final velocity - Initial Velocity )/time

We have to calculate total distance traveled by the car.
Let the distance traveled be 'd'
Equation of motion:

Plugging the values.
⇒
⇒
⇒
The car will travel a distance of 17.45 meters for the above case.
(a) 120.8 m/s^2
The gravitational acceleration at a generic distance r from the centre of the planet is

where
G is the gravitational constant
M' is the mass enclosed by the spherical surface of radius r
r is the distance from the centre
For this part of the problem,

so the mass enclosed is just the mass of the core:

So the gravitational acceleration is

(b) 67.1 m/s^2
In this part of the problem,

and the mass enclosed here is the sum of the mass of the core and the mass of the shell, so

so the gravitational acceleration is
