Respuesta :
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.
a. Her mass is 65 kg
b. Her weight on Earth is 637 N
c. She would weigh 241 N on Mars
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Further explanation
Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:
[tex]\large {\boxed {F = G \frac{m_1 ~ m_2}{R^2}} }[/tex]
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 !
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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):
[tex]w_m = m g_m[/tex]
[tex]104 = m \times 1.6[/tex]
[tex]m = 104 \div 1.6[/tex]
[tex]\boxed{m = 65 \texttt{ kg}}[/tex]
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Part (b):
[tex]w_e = m g_e[/tex]
[tex]w_e = 65 \times 9.8[/tex]
[tex]\boxed{w_e = 637 \texttt{ N}}[/tex]
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Part (c):
[tex]w = m g[/tex]
[tex]w = 65 \times 3.7[/tex]
[tex]\boxed{w = 241 \texttt{ N}}[/tex]
[tex]\texttt{ }[/tex]
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
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Answer details
Grade: High School
Subject: Physics
Chapter: Gravitational Fields
