The force will remain same if the mass of each sphere is doubled and the distance between them is doubled as well.
The force of gravitation between two spheres is given by
m1= mass of first object
m2= mass of second object
r= distance between the masses
Now if each mass is doubled and the distance r is doubled as well
F'=
so F'= F
so the force remains same and is equal to 1000 N.
Answer
NB:
- speed, U is measure in m/s
- acceleration, a is measured in m/s²
-time t in seconds , s
Therefore conversation must be made
Speed U = 20km/hrs
=20km÷1hr
But 20km= 20×1000=20000m
1hr= 1×60min×60sec=3600s
U=20000÷3600=5.56m/s
a=30km/hrs
=30km÷1hr
But 30km=30×1000=30000
1hr=3600s
a=30000÷3600=8.33m/s²
From the equation of motion
S=Ut + ½ at².
Where s= distance
S = 5.56m/s × 20s + ½(8.33m/s²)(20s)²
S = 1777.3m
We know, x+y = 180
A.T.Q, x = 3y, y= x/3
substitute the value of y,
x+x/3 = 180
4x = 540
x = 540/4
x=135