Computers and Technology, 27.02.2021 23:30 juneham

Help please!! Calculate a student's weight (70 kg) on Earth using the Universal Gravitational Law

Calculate a student's weight (70 kg) on Mercury using the Universal Gravitational Law

Calculate a student's weight (70 kg) on the Sun using the Universal Gravitational Law

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Answer from: TombRaider167

1) The student's weight on Earth is approximately 687.398 N

2) The student's weight on Mercury is approximately 257.85 N

3) The student's weight on the Sun is approximately 19,164.428 N

Explanation:

The mass of the student, m = 70 kg

1) The mass of the Earth, M = 5.972 × 10²⁴ kg

The radius of the Earth, R = 6,371 km = 6.371 × 10⁶ m

The universal gravitational constant, G = 6.67430 × 10⁻¹¹ N·m²/kg²

Mathematically, the universal gravitational law is given as follows;

$F_g =G \times \dfrac{M \cdot m}{R^{2}}$

Therefore, we have;

$F_g=6.67430 \times 10^{-11} \times \dfrac{5.972 \times 10^{24} \cdot 70}{(6.371 \times 10^6)^{2}} \approx 687.398$

F_g = W ≈ 687.398 N

The student's weight on Earth, W ≈ 687.398 N

2) On Mercury, we have;

The mass of Mercury, M₂ = 3.285 × 10²³ kg

The radius of Mercury, R₂ = 2,439.7 km = 2.4397 × 10⁶ m

The universal gravitational constant, G = 6.67430 × 10⁻¹¹ N·m²/kg²

The universal gravitational law is $F_g =G \times \dfrac{M_2 \cdot m}{R_2^{2}}$

Therefore, we have;

$F_g=6.67430 \times 10^{-11} \times \dfrac{3.285 \times 10^{23} \cdot 70}{(2.4397 \times 10^6)^{2}} \approx 257.85$

F_g = W₂ ≈ 257.85 N

The student's weight on Mercury, W₂ ≈ 257.85 N

3) On the Sun, we have;

The mass of the Sun, M₃ ≈ 1.989 × 10³⁰ kg

The radius of the Sun, R₃ ≈ 696,340 km = 6.9634 × 10⁸ m

The universal gravitational constant, G = 6.67430 × 10⁻¹¹ N·m²/kg²

The universal gravitational law is $F_g =G \times \dfrac{M_3 \cdot m}{R_3^{2}}$

Therefore, we have;

$F_g=6.67430 \times 10^{-11} \times \dfrac{1.989 \times 10^{30} \cdot 70}{(6.9634 \times 10^8)^{2}} \approx 19,164.428$

F_g = W₃ ≈ 19,164.428 N

The student's weight on the Sun, W₃ ≈ 19,164.428 N

Answer from: Quest

According to my brain it's a rational number because it can be put as a fraction

Answer from: Quest

we can all learn from our past mistakes because we all have different ways of learning different types of techniques. my way may or may not another classmate remember and have the repetition to acknowledge such standard. such as remembering acronyms. using abbreviations to us remember keep things in order in our memory. this us figure out what comes next in the sequence. if so, what we have is a sentence of just letters all in caps. we either know the meaning or have no idea what it stands for. most of the time we know the meaning and context. but most of us who don't know, should learn by having a quick glance at what needs to be remembered. such as repetition in the memory for acronyms. one way that me, is the fact that i'm always doing math and english assignments. so we have to remember specific meanings such as soapstone for documents, such as citing correctly. or pemdas for doing the equations correctly, even if it's the super long way. this works for everyone. you just have to find what works for you by practicing and repetition daily.

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Help please!! Calculate a student's weight (70 kg) on Earth using the Universal Gravitational Law

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