It is about 370 miles (600 kilometers) in diameter, wide enough to cover the entire state of New Mexico. It is also one of the largest volcanoes in the solar system. Olympus Mons is roughly 17 miles (27 kilometers) high, about three times as tall as Mount Everest. Mars is home to both the highest mountain and the deepest, longest valley in the solar system. Gravity on Mars is 38 percent of Earth's gravity, so a 100-pound person on Earth would weigh 38 pounds on Mars. Therefore, we have verified that the book is correct.Mars' mass is 6.42 x 10 23 kilograms, about 10 times less than Earth. Thus, the ratio of g across planets ( g 1/g 2), where g 1 and g 2 are the acceleration of gravity of planets 1 and 2 respectively) would also imply the same ratio of w of the same object with mass m across planets ( w 1/w 2 = (m×g 1)/(m×g 2) = g 1/g 2). Of course, the weight of an object is w = m×g where m is the mass of the object and g is the acceleration of gravity. The difference is really due to approximation (1 d. Thus, the ratio in the book and the ratio I calculated are very close to each other. p.)Īs you can see, this result is very similar to the example stated in the book. G = GM/r 2 = 3.70ms -2 (correct to 2 decimal places, or corr. Now we can calculate the g on all planets if we know their M and r. From the formula, we can see that g is proportional to M and inversely proportional to r². But, how about the ones in other planets?īy Newton’s law of universal gravitation,, where G is the gravitational constant ( 6.673×10 -11 m 3kg -1s -2), M is the mass of the planet r is the radius of the planet.
It is well-known that the acceleration of gravity ( g) is approximately 9.8ms -2. In the case of free-falling object, a = g, which is also known as the acceleration of gravity. Recall your memory in physics class, the velocity and the distance travelled by an object can be described by the following two formula v = u + a×t and s = u×t + 0.5×a×t², where u is the initial velocity, v is final velocity, a is acceleration, t is time, s is the distance. Dealing with math in physics, we have to use formulas. Now, we have known the concept, but in order to prove that the book is correct, we have to do the math part. Therefore, while the mass of Mars has a way greater mass than Mercury, the longer radius of Mars may serve to even out the gravity. According to the book, the diameter of Mars is 6794 km, and the diameter of Mercury is 4880 km. The farther the object is from the centre of the planet (the longer the distance), the less gravity acts on the object. The radius of the planet can also be known as the distance between the center of the planet and the object. The key point was that I missed out an important fact the radius of the planet. Thanks to the internet, my dad and I were able to verify that the book was right and I was wrong.
That is, same weights on both planets! What is going on? However, the book states that an object which weighs 100 pounds on earth would weigh 38 pounds on both Mercury and Mars. Because the mass of Mars is approximately twice that of Mercury, an object that weighs 100 pounds on Mercury should weigh 200 pounds on Mars. From what I have learned about Gravity on earth in class, the gravity is proportional to the mass of a planet. The book states that the mass of Mercury is 0.3302 × 10 24 kg and the mass of Mars is 0.64185 × 10 24 kg.
In reviewing my physics textbook, I found a statement problematic.
0 kommentar(er)
