Question

A 2.0 kg mass weighs 10 Newtons on planet X. what is the acceleration due to gravity on planet X? Show the work.

Answer 1

Answer: The gravitational acceleration on planet X is 5 N/kg

On Earth (with the gravitational accelartion g_E) the mass of 2kg will correspond to

$F_E = m\cdot g_E = 2.0 \mbox{kg}\cdot 9.8 \frac{N}{kg} = 19.6 N$

On planet X we are told the same measure is only 10N. Since there is a proportional relationship between g and F, we can calculate g_X:

$\frac{F_E}{g_E}=\frac{F_X}{g_X} \implies\\g_x = \frac{g_E\cdot F_X}{F_E}=\frac{9.8 N/kg \cdot 10 N }{19.6N}=5 \frac{N}{kg}$

Answer 2

The acceleration due to gravity on planet X will be 5 N/kg. The ratio of the gravitational force and the acceleration  due to the gravity on the earth and the planet x is equal;

What is gravitation?

Gravitation is a natural law by which all things with all matter are attracted towards one another.

Gravity is responsible for large-scale structures present in the Universe. Gravity has an unlimited range, although its effects depend on the distance.

The gravitational force on the earth having mass 2 kg is;

$\rm F_E = mg_E \\\\\ F_E = 2.0 \times 9.8 \\\\\ F_E= 19.6 N$

From the condition, the ratio of the gravitational force and the acceleration  due to the gravity on the earth and the planet x is equal;

$\rm \frac{F_E}{g_E} =\frac{F_x}{g_x} \\\ g_x= \frac{g_e \times F_X}{F_E} \\\\ g_E= \frac{9.8 \times 10}{19.6} \\\\ g_E = 5 \ N/kg$

Hence, the acceleration due to gravity on planet X will be 5 N/kg.

To learn more about the gravitation, refer to the link;

https://brainly.com/question/3009841

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