On which body would a 10 kg lamp have the most gravitational potential energy when lifted to height of 2 m? A) Earth B) Mars C) Neptune D) Uranus
Answers
Answer: C.) Neptune
Explanation:
The Gravitational Potential Energy (GPE) of a body is calculated using the formula :
GPE = mgh
Where m = mass of the body
g = acceleration due to gravity
h = distance above a surface
Mass = 10kg
h = 2m
Using the formula :
GPE of lamp on Earth: g = 9.8
GPE = 10 × 9.8 × 2 = 71.8J
GPE of lamp on Mercury: g = 3.59
GPE = 10 × 3.59 × 2 = 196J
GPE of lamp on Mars: g = 3.7
GPE = 10 × 3.7 × 2 = 74J
GPE of lamp on Neptune: g = 14.07
GPE = 10 × 14.07 × 2 = 281.4J
GPE of lamp on Uranus: g = 9
GPE = 10 × 9 × 2 = 180J
GPE of lamp on Pluto: g = 0.42
GPE = 10 × 0.42 × 2 = 8.4J
Neptune has the highest gravitational potential energy as the value of acceleration due to gravity acting on objects is highest on Neptune.
Answer:
The correct option is;
C) Neptune
Explanation:
The force of gravity is given by the equation;
[tex]F_g = G\dfrac{m_1m_2}{r^2} = m_2 \times g[/tex]
Where:
m₁ = Mass of the planet
m₂ = Mass of the body = 10 kg
r = The distance between the body and the planet = 2 m
g = Gravitational acceleration on the planet
G = Gravitational constant
Given that the potential energy, PE = m × g × h
We have that,
[tex]PE = m_2 \times g \times (r + 2) = G\dfrac{m_1m_2}{r^2} \times (r + 2) \approx G\dfrac{m_1m_2}{r^2} \times r = G\dfrac{m_1m_2}{r}[/tex]
Therefore, the gravitational potential energy is directly proportional to the acceleration of gravity, such that the body will have the most gravitational potential energy in the planet with the highest acceleration due to gravity which is Neptune with acceleration due to gravity of 14.07 m/s².
Related Questions
Newton’s third law of motion says that for every action there is a(n) and opposite reaction.
Answers
Answer:
for every action thete is an equal and opposite reaction
Answer:
Newton’s third law of motion says that for every action there is a(n)
equal and opposite reaction.
Explanation:
just got it right edg 1928
The speed of an electromagnetic wave is a constant, 3.0 × 108 m/s. The wavelength of a wave is 0.6 meters. What is the frequency?
Answers
Answer:
The answer to this should be: 5.0 x 10⁸ Hz
Explanation:
The speed, s, of a wave, equals the product of its frequency, ν, times its wavelength, λ:
s = νλ.
As the question states, the speed of an electromagnetic wave is a constant, c, equal to 3.0 × 10⁸ m/s.
Substituting this constant in the equation for the speed of the wave, you get:
c = νλ.
From that equation, you can solve for the frequency to show the inverse realation of frequency and wavelength:
ν = c / λ
Now, you just have to substitute values and compute, leaving you with:
5.0 x 10⁸ Hz
De acuerdo al calendario ecológico 2020, escriba cuanto CO2 produce el Ecuador y en un resumen máximo de 7 líneas, determine porque son importante los humedales en la biodiversidad.
Answers
Answer:
43,919.66 Kilotones de Co2 en 2016.
Explicación:
Ecuador produce 43,919.66 Kilotones de Co2 en 2016. Las tierras húmedas son muy importantes para la biodiversidad porque proporcionan hábitat a millones de animales. Alrededor del 35 por ciento de todas las especies amenazadas y en peligro vive en estas tierras húmedas. Estas tierras húmedas son altamente productivas y tienen la capacidad de mejorar la calidad del agua, prevenir la degradación del suelo y proporcionar alimentos a los animales que viven en estas tierras húmedas.