Answered

Expand your horizons with the diverse and informative answers found on IDNLearn.com. Join our interactive community and get comprehensive, reliable answers to all your questions.

BRAINLIEST WILL BE MARKED FOR THE FIRST ANSWER
A body weighs 800 N on earth. Find its weight on a planet whose mass is half of
earth’s mass and radius is twice as earth’s radius. (Take g of earth as 10 m/s2
)

Sagot :

Olayemiolakunle65idn

Answer:

98.4 N

Explanation:

Given that the body weighs 800 N on earth.

Thus,

Weight = mass x acceleration due gravity

i.e W = mg

800 = m x 10

m = [tex]\frac{800}{10}[/tex]

   = 80 kg

The mass of the body is 80 kg.

To be able to determine its weight on the planet, we have to first calculate the gravitational pull of the planet.

But,

g = [tex]\frac{GM}{r^{2} }[/tex]

Where: G is the Newton's universal gravitation, M is the mass of the planet and r is the radius of the planet.

g = [tex]\frac{6.674*10^{-11} *2.986*10^{24} }{(12.742*10^{6})^{2} }[/tex]

  = [tex]\frac{1.9929*10^{14} }{1.6236*10^{14} }[/tex]

  = 1.2275

g = 1.23 m/[tex]s^{2}[/tex]

Thus,

Weight of the body on the planet = mg

                          = 80 x 1.23

                          = 98.4 N

The weight of the body on the planet is 98.4 N

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your questions are important to us at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.