To solve part A, you need to calculate the force of attraction between the larger and smaller balls. You have correctly converted the values to kilograms and meters.
Using the equation F(r) = Gm1m2/r^2, where G is the gravitational constant, m1 and m2 are the masses, and r is the distance between them, you can calculate the force of attraction.
The mass of the small ball is 0.730283 kg and the mass of the large ball is 157.850 kg. The distance between them, r, is given as the difference between the radii: r = (0.152 m - 0.0254 m).
Substituting these values into the equation, you should get:
F(r) = (6.674E-11 m^3 kg^-1 s^-2) * (0.730283 kg) * (157.850 kg) / (0.152 m - 0.0254 m)^2
Calculating the expression in the brackets:
r = 0.1266 m
Substituting this value into the equation:
F(r) = (6.674E-11 m^3 kg^-1 s^-2) * (0.730283 kg) * (157.850 kg) / (0.1266 m)^2
Solving this expression should give you the force of attraction between the balls.
For part B, you are asked to compare this force to the weight of the small balls. The weight of the small balls can be calculated using the formula W = mg, where W is weight, m is mass, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
The weight of the small balls is:
W = (0.730283 kg) * (9.8 m/s^2)
Comparing the force of attraction from part A to the weight of the small balls, you can determine if they are equal, greater, or smaller.
I hope this helps!