Answer:F=1.7802
Explanation:
Since we've been given the mass to be .18kg,we are asked to find the Force of which the formulae is
F=ma where f-force,m-mass and a-acceleration due to gravity
So we can just substitute
F-?.m=.18 and a9.89
F=.18×9.89
F=1.7802N
The gravitational force on Earth due to the ball will be 1..769 N . While the Earth's resulting acceleration will be 2.9 ×10²³ m/sec².
Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force
The given data in the problem is;
m is the mass of ball=0.18 kg
F is the gravitational force=?
m is the mass of earth= 6.0 x 1024 kg.
r is the radius of earth = 6.3781×106 m
G is the universal gravitational constant= 6.67408×10-11 Nm/kg2
The gravitational force is given by;
[tex]\rm F_G=\frac{ G m_1m_2}{r^2} \\\\ \rm F_G=\frac{ 6.67 \times 10^{-11} 0.18 \times 6.0 \times 10^{24}}{6.3781\times 10^6)2}[/tex]
[tex]\rm F_G= 1.769 N[/tex]
Hence the gravitational force on Earth due to the ball will be 1..769 N.
The force is given as the product of mass and acceleration. So that the value of acceleration is found by;
[tex]\rm a= \frac{F}{m} \\\\ \rm a= \frac{1.769}{6.0 \times 10^{24}}[/tex]
[tex]\rm a= 2.9 \times10^{-23}[/tex] m/sec²
Hence the Earth's resulting acceleration will be 2.9 ×10²³ m/sec².
To learn more about the gravitational force refer to the link;
https://brainly.com/question/24783651
