natural motion is the motion that requires no force
Answer:
a) 1/4 what it is now
Explanation:
As we know that force of gravitation between two planets at some distance "r" from each other is given as

now since we know that if the distance between Earth and Sun is changed
So the force of gravity will be given as

now we know that the distance between sun and earth is changed to twice the initial distance between them
so we have

so new gravitational force between sun and earth is given as


Answer:
Part a)

Part b)

Part c)

Part d)

Explanation:
Part a)
As we know that the orbital speed of the satellite is given as

now we will have

now we have


now we have


Part b)
Here force between mars and satellite is the gravitational attraction force which is given as



Part c)
Acceleration of satellite is the ratio of gravitational force and mass of the satellite



Part d)
As we know by III law of kepler

here we know that T2 = 8 T1


so we have

as we know that speed is given as

so we can say since radius is orbit becomes 4 times so the orbital speed must be half

Given:
500 containers ; 5 of these are defective.
A = event that 1st is defective = 5/500
B = event that 2nd is defective = 4/499
C = event that 3rd is defective = 3/498
a) 4/499
b) 5/500 * 4/499 = 20/249,500 = 1/12,475
c) 495/500 * 494/500 = 244,530 / 250,000 = 24,453/25,000
d) 5/500 * 4/499 * 3/498 = 60/124,251,000 = 1/2,070,850
when it reaches the maximum height, all the energy has now been converted into potential energy.when a ball is thrown straight upto into the air,all its initial kinetic energy converted into gravitational potential energy when it reaches its maximum height