Question 7 Answer the following: • Calculate the weight both...

Question 7 Answer the following: • Calculate the weight both on Earth and on Pluto of a person with a mass of 63 kg. • Compare the weight of this 63 kg person on Pluto to their weight on Earth (use a percentage). Data: • Formula: Force (i.e. weight) = mass x acceleration due to gravity OR $F = mg$ • Value of g on Earth = 9.8 m/s² • Value of g on Pluto = 0.62 m/s² 420 N (45 lb) on Earth, 10 N (2.2 lb) on Pluto, 2.3% Earth weight. 620 N (139 lb) on Earth, 39 N (8.8 lb) on Pluto, 6.3% Earth weight. 100 N (20 lb) on Earth, 5 N (1.0 lb) on Pluto, 1.3% Earth weight. 620 N (139 lb) on Earth, 10 N (2.2 lb) on Pluto, 1.6% Earth weight. Submit Your Answer 2 Attempts Remaining

Transcript

00:02 Okay, we are to calculate our mass in kilograms, and then we want to calculate the gravitational acceleration of each planet in the solar system, using the information below, and then calculate our weight on each planet.

00:20 So how do you calculate your mass? well, your weight is equal to your mass times earth's gravity.

00:29 So your mass is just your weight divided by earth's gravity.

00:37 And your weight needs to be in newtons.

00:43 So if you don't know what you weigh in newtons, which most people probably don't, then just look up a conversion between pounds and newtons, pound force and newtons.

00:53 The other thing you could do is, yeah, that's, yeah.

00:59 You can also look up your, if you type in your, like, how much you weigh in pounds, which is the same as your mass in pounds, you could find the conversion between pound masses, and, kilograms either way but if you know your weight in newton's then divide that by 9 .8 .1 meters per second squared that will give you your mass so as an example my mass is about 80 kilos okay so we want to find the gravitational acceleration of each planet how are we going to do that well we use newton's universal law of gravitation which tells us that the force of gravity on some object based on another object is equal to big g times the mass of the first times the mass of the second divided by the distance between them squared okay so if we're on the surface of a planet then the distance between the two objects is just the radius of the planet and if we want to find the acceleration on that planet well, let's just say big g times the mass of the planet times the mass of the object, divided by r squared.

02:30 So if you wanted to find the acceleration of the planet, you would just have to divide by the mass of the object.

02:38 So this is another way of saying this equation is equal to m times the gravitational acceleration g, where m is the object.

02:49 Right your weight is just your mass times gravity and if you wanted to use newton's law this would also be your weight so we just divide by m and we get that the gravitational acceleration is just going to be equal to big g times the mass of that planet divided by its radius base of the planet squared ok -dokey so we have mercury, venus, mars, jupiter, and the rest of them.

03:28 So we just have to go through for each of these and take big g, which is a constant.

03:35 You can look up.

03:36 It's like 6 .67 times 10 to the minus 11th, and then divide by the radius of the planet.

03:49 And the radius is squared.

03:51 So let's just look here.

03:54 So for mercury, we pulled all these things in, and we should get about 3 .61 meters per second squared.

04:08 And i'm not going to write the units on all of them, because the units are given in the box above.

04:17 So mercury, venus is 8 .83.

04:24 Mars is 3 .7...

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