Physics, 28.12.2019 04:31, gui00g7888888888888

Anew planet is discovered that has twice the earth's mass and twice the earth's radius. on the surface of this new planet a person who weights 500 n on earth would experience a gravitational force of
a. 125 n
b. 250 n
c. 500 n
d. 1000 n
e. 2000 n

Answers: 1

Show answers

Answers

To solve this problem we will proceed to use the expression of gravity given in Newtonian theory in terms of mass, the radius the universal gravitational constant, that is:

$g = \frac{GM}{R^2}$

This expression defines as gravity on earth. On another planet with twice the mass and radius constants it would be given as,

$g' = \frac{G2M}{(2R)^2}$

$g' = \frac{2GM}{4R^2}$

$g' = \frac{1}{2} *\frac{GM}{R^2}$

$g' = \frac{g}{2}$

Expressing the weight of the planet this would be then

W = mg'

$W = m\frac{g}{2}$

$W = \frac{500N}{2}$

W = 250N

Correct answer is B.

answered: nnaaatt1845

The weight of person on the new planet is of 250 N. Hence, option (c) is correct.

Given data:

The weight of person on Earth is, W = 500 N.

The standard expression for the weight of person on the new planet is,

W' = mg'

Here, g' is the gravitational acceleration on the new planet.

Let us calculate the gravitational acceleration on the new planet. The standard expression for the gravitational acceleration on the new planet is,

$g'=\dfrac{GM}{R^{2}}$

Here,

G is the universal gravitational constant.

M is the mass of planet, which is two times the mass of Earth. (M = 2m )

R is the radius of planet, which is twice the radius of Earth. (R = 2r).

Then,

$g'=\dfrac{G \times (2m)}{(2r)^{2}}\\\\g'=\dfrac{2(G \times m)}{4r^{2}}\\\\g'=\dfrac{1}{2} \times \dfrac{(G \times m)}{r^{2}}\\\\g'=\dfrac{1}{2} \times g$

Here, g is the gravitational acceleration value on Earth. And its value on Earth is $9.8 \;\rm m/s^{2}$ .

Then,

$g'=\dfrac{g}{2} \\\\g'=\dfrac{9.8}{2}\\\\g'=4.9 \;\rm m/s^{2}$ .

Calculate the mass as,

$W =mg\\500 = m \times 9.8\\m \approx 51 \;\rm kg$

So weight of person on new planet will be,

$W' = 51 \times 4.9\\W' \approx 250 \;\rm N$

Thus, we can conclude that the weight of person on the new planet is of 250 N.

Learn more about the gravitational acceleration here:

link

answered: Guest

1.the balanced chemical equation is as below

cu + 2 ag(no)₃ → cu(no₃)₂ +2 ag

2.the much silver produced is 50.9 g

step 1: find the moles of cu

moles = mass÷ molar mass

from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236 moles

step 2: use the mole ratio to determine the moles of ag

from equation above cu: ag is 1: 2

therefore the moles of ag =0.236 moles x 2/1 =0.472 moles

step 3: find the mass of ag

mass = moles x molar mass

from periodic table the molar mass of ag =107.87 g/mol

mass = 0.472 moles x 107.87 g/mol = 50.9 g

3. the much silver collected worth is 1.797 oz

convert 50.9 g to oz

that is 1 gram = 0.0353 oz

50.9 grams =? oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1 gram} =1.797 oz

answered: Guest

photocells convert light energy to electricity

Other questions on the subject: Physics

Physics, 22.06.2019 01:00, Mimix2k

15. give an example for some particles or waves that are moving faster than light in everyday life 16. what is a laser? 17. what is an oscilloscope? 18. what does it means practically that nothing is faster than light in vacuum? 19. what is vacuum?

Answers: 2

continue

Physics, 22.06.2019 08:50, dijonmckenzie3

The electronic structure or chlorine is 2.8.7 what is the electronic structure of fluorine?

Answers: 2

continue

Physics, 22.06.2019 14:00, Amrinderkhattra

Give an example of a collision in real life. use the law of conservation of energy to describe the transfer of momentum. be sure and discuss the momentum before and after the collision occurs. you will need at least 3 sentences to thoroughly answer this question.

Answers: 1

continue

Physics, 22.06.2019 15:00, banna01man

Greg drew a diagram to compare two of the fundamental forces. which labels belong in the areas marked x, y and z? gravitational force electromagnetic force x. attractive y repulsive z: infinite range x: infinite range y attractive z. repulsive x. always attractive y: infinite range z: attractive or repulsive x. attractive or repulsive y infinite range z: always attractive

Answers: 2

continue

Do you know the correct answer?

Anew planet is discovered that has twice the earth's mass and twice the earth's radius. on the surfa...