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
![f=\frac{G m1 m2}{r^{2}}](https://tex.z-dn.net/?f=%20f%3D%5Cfrac%7BG%20m1%20m2%7D%7Br%5E%7B2%7D%7D%20%20%20)
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'= \frac{G (2m1)(2m2)}{(2r)^{2}}](https://tex.z-dn.net/?f=%20F%27%3D%20%5Cfrac%7BG%20%282m1%29%282m2%29%7D%7B%282r%29%5E%7B2%7D%7D%20%20%20)
![F'= \frac{4 G m1 m2}{4r^{2}}](https://tex.z-dn.net/?f=%20F%27%3D%20%5Cfrac%7B4%20G%20m1%20m2%7D%7B4r%5E%7B2%7D%7D%20%20%20)
F'=![\frac{G m1 m2 }{r^{2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7BG%20m1%20m2%20%7D%7Br%5E%7B2%7D%7D%20%20%20)
so F'= F
so the force remains same and is equal to 1000 N.
Radioactive decay is given by:
N = No x e^(-λt)
We know that N/No has to be 0.05
λ = 0.15
0.05 = e^(-0.15t)
t = ln(0.05)/(-0.15)
t = 19.97 days
Answer:
c) cubic centimetre is it's answer..
Answer:
Explanation:
v= u + at
v is final velocity , u is initial velocity . a is acceleration and t is time
Initial velocity u = 0 . Putting the given values in the equation
v = 0 + g sin 18 x 3.5
= 10.6 m /s