Skip to main content
Ch 13: Gravitation
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610당신이 사용하는 게 아니라요?교과서 변경
13장, 문제 12b

The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. If a rock weighs 75.0 N on earth, what would it weigh at the surface of Venus?

검증된 단계별 안내
1
First, understand that weight is the force exerted by gravity on an object. It is calculated using the formula: W=mg, where W is the weight, m is the mass of the object, and g is the acceleration due to gravity.
Next, calculate the gravitational acceleration on Venus using the formula: g=GMR2, where G is the gravitational constant, M is the mass of Venus, and R is the radius of Venus.
Since the mass of Venus is 81.5% that of Earth, express this as M=0.815Me, where Me is the mass of Earth.
Similarly, the radius of Venus is 94.9% that of Earth, expressed as R=0.949Re, where Re is the radius of Earth.
Finally, substitute these values into the gravitational acceleration formula to find g for Venus, and then use the weight formula W=mg to calculate the weight of the rock on Venus, knowing its mass from its weight on Earth.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
5m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Gravitational Force

Gravitational force is the attractive force between two masses. On a planetary surface, it is calculated using the formula F = mg, where F is the force (weight), m is the mass of the object, and g is the acceleration due to gravity. The weight of an object varies depending on the gravitational pull of the planet it is on.
추천 영상:
가이드 코스
05:41
Gravitational Forces in 2D

Acceleration Due to Gravity

The acceleration due to gravity (g) on a planet's surface is determined by the planet's mass and radius. It is calculated using the formula g = G * (M/R^2), where G is the gravitational constant, M is the planet's mass, and R is its radius. This value affects how much an object weighs on that planet.
추천 영상:
가이드 코스
05:20
Acceleration Due to Gravity

Proportionality and Ratios

Proportionality and ratios are mathematical tools used to compare quantities. In this context, they help determine how changes in mass and radius affect gravitational force. By comparing Venus's mass and radius to Earth's, we can calculate the change in gravitational acceleration and thus the weight of an object on Venus.
추천 영상:
가이드 코스
05:32
Ratio of energies of cylinder on surface
관련 실천
교과서 질문

Titania, the largest moon of the planet Uranus, has 1/8 the radius of the earth and 1/1700 the mass of the earth. What is the average density of Titania? (This is less than the density of rock, which is one piece of evidence that Titania is made primarily of ice.)

2352
views
교과서 질문

Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93 × 1022 kg and a radius of 1821 km. For this calculation, ignore any variation in gravity over the 500-km range of the debris. How high would this material go on earth if it were ejected with the same speed as on Io?

5078
views
1
comments
교과서 질문

The point masses m and 2m lie along the x-axis, with m at the origin and 2m at x = L. A third point mass M is moved along the x-axis. At what point is the net gravitational force on M due to the other two masses equal to zero?

3415
views
교과서 질문

Titania, the largest moon of the planet Uranus, has 1/8 the radius of the earth and 1/1700 the mass of the earth. What is the acceleration due to gravity at the surface of Titania?

1720
views
교과서 질문

At what distance above the surface of the earth is the acceleration due to the earth's gravity 0.980 m/s2 if the acceleration due to gravity at the surface has magnitude 9.80 m/s2 ?

2752
views
교과서 질문

The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. Compute the acceleration due to gravity on the surface of Venus from these data.

2287
views