a baseball has a mass of 0.145 kilograms, and a bowling ball has a mass of 6.8 kilograms. what is the…

a baseball has a mass of 0.145 kilograms, and a bowling ball has a mass of 6.8 kilograms. what is the gravitational force between them if their centers are 0.5 m apart?\n1.0×10⁻¹³ n\n1.3×10⁻¹⁰ n\n2.6×10⁻¹⁰ n\n1.1×10⁻⁸ n

a baseball has a mass of 0.145 kilograms, and a bowling ball has a mass of 6.8 kilograms. what is the gravitational force between them if their centers are 0.5 m apart?\n1.0×10⁻¹³ n\n1.3×10⁻¹⁰ n\n2.6×10⁻¹⁰ n\n1.1×10⁻⁸ n

Answer

Explanation:

Step1: Recall gravitational - force formula

The gravitational - force formula is $F = G\frac{m_1m_2}{r^2}$, where $G = 6.67\times10^{- 11}\ N\cdot m^2/kg^2$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between their centers.

Step2: Identify given values

$m_1=0.145\ kg$, $m_2 = 6.8\ kg$, and $r = 0.5\ m$.

Step3: Substitute values into formula

$F=6.67\times 10^{-11}\frac{0.145\times6.8}{0.5^2}$. First, calculate the numerator: $0.145\times6.8 = 0.986$. Then, calculate the denominator: $0.5^2=0.25$. So, $F = 6.67\times10^{-11}\times\frac{0.986}{0.25}$. $\frac{0.986}{0.25}=3.944$. $F = 6.67\times10^{-11}\times3.944$. $F\approx2.6\times10^{-10}\ N$.

Answer:

$2.6\times 10^{-10}\ N$