Question

An astronaut weighs 104 newtons on the moon, where the strength of gravity is 1.6 newtons per kilogram.
a. What is her mass?
b. What is her weight on Earth?
c. What would she weigh on Mars?

Answer 1

Answer:

a) 65 kilogram

b) 637 newton

c)  242 newton

Explanation:

a)  1.6 newton is equivalent to 1 kilogram mass so

     104 newton will be equivalent to 104 / 1.6 = 65 kilogram

b) her weight on the earth = mass x gravitational acceleration

 = 65 x 9.8 = 637 newton

c) gravitational acceleration on the mars is 3,72 m per second squire so

 weight on mars = 65 x 3.72 = 242 approx.

Answer 2

a. Her mass is 65 kg

b. Her weight on Earth is 637 N

c. She would weigh 241 N on Mars

$\texttt{ }$

Further explanation

Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:

$\large {\boxed {F = G \frac{m_1 ~ m_2}{R^2}} }$

F = Gravitational Force ( Newton )

G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )

m = Object's Mass ( kg )

R = Distance Between Objects ( m )

Let us now tackle the problem !

$\texttt{ }$

Given:

weight of astronaut on the moon = w_m = 104 N

strength of gravity on the moon = g_m = 1.6 N/kg

strength of gravity on earth = g_e = 9.8 N/kg

strength of gravity on mars = g = 3.7 N/kg

Asked:

a. mass of astronaut = m = ?

b. weight of astronaut on Earth = w_e = ?

c. weight of astronaut on Mars = w = ?

Solution:

Part (a):

$w_m = m g_m$

$104 = m \times 1.6$

$m = 104 \div 1.6$

$\boxed{m = 65 \texttt{ kg}}$

$\texttt{ }$

Part (b):

$w_e = m g_e$

$w_e = 65 \times 9.8$

$\boxed{w_e = 637 \texttt{ N}}$

$\texttt{ }$

Part (c):

$w = m g$

$w = 65 \times 3.7$

$\boxed{w = 241 \texttt{ N}}$

$\texttt{ }$

Learn more

• Impacts of Gravity : https://brainly.com/question/5330244
• Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
• The Acceleration Due To Gravity : https://brainly.com/question/4189441

$\texttt{ }$

Answer details

Grade: High School

Subject: Physics

Chapter: Gravitational Fields