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The mass of a rock on the Earth is 4 kg. The rock is then takento the Moon. What is the weight of the rock on the moon if theacceleration due to gravity is 1.6 m/s2...

Question

The mass of a rock on the Earth is 4 kg. The rock is then takento the Moon. What is the weight of the rock on the moon if theacceleration due to gravity is 1.6 m/s2? Group of choices: 6.4 N4 N2.5 N0.4 N

The mass of a rock on the Earth is 4 kg. The rock is then taken to the Moon. What is the weight of the rock on the moon if the acceleration due to gravity is 1.6 m/s2? Group of choices: 6.4 N 4 N 2.5 N 0.4 N



Answers

The Apollo 16 lunar module had a mass of $4240 \mathrm{~kg} .$ Using Newton's law of universal gravitation, find its weight (a) on the earth and (b) on the moon.

Suppose this is a stone ought, which is sitting on a seat off our spacecraft, which is going upward with an acceleration 3.4 m per second squared from moon. And we know that gravitational exploration on the moon is 1.60 m pass again. Disquiet. It is given in this question and we have to find the apparent weight. We know that the current weight is equal to the normal and here the weight off. That's not with areas equal to M into G. So here, normal will be equal to M G. Let's Emmy from here the M is 75 years and GS 1.60 1.60 plus a 3.4. After calibrating this, we'll get the value off normal, which is 3 75 Newtown. This is the value off normal force, and we know that the apparent weight is how hard astronaut poses against the seed, which is the normal force

So we, for part A. We know the weight of the apple on the earth is equal to 1.0 Newton's. We know that the acceleration due to gravity on the moon would be equal to the acceleration due to gravity on Earth divided by six. Of course the gravitational force is going to be equal to MG. And so we can say that the weight on the moon would be equal to mm times G on the moon. And we can say that then this would be equal to the mass multiplied by gravity on Earth, divided by six. And so this would then be equal to the weight on Earth divided by six. And so the weight on the moon would be equal to 1.0 Newton's Divided by six. equaling then 0.1 67 Newtons for part B. We want to find the mass of the Apple, the weight on Earth as equaling MG for Earth. We can simply say that then the mass of the Apple would be equaling to 1.0 Newton's divided by 9.81 m per second squared. We find the mass of the apple to be equal 2.102 kilograms. That is the end of the solution. Thank you for watching.

This's a fun problem involving the weights of something. An astronaut's pack, Um, on earth vs the moon's on Earth. This pack weighs seventeen point five mutants, but on the moon it on ly weighs three point two four Newtons because thie gravitational exploration is weaker over there. Ah, well, an important piece of information we know shot earth is that the gravitational acceleration You're the surface is nine point eight one meters per square second. So therefore, what is the gravitational acceleration in service of the moon is what part is asking? Well, so as a canary sing this problem Wait is a quantity that changes depending on where you are in the universe but not mass mass is always the same whether you're in space or whether you're here on earth and that you can get by divine the weight through by the gravitational exploration of the area that you're in. But that is true for both the moon and the earth. So mass has to equal to both of these things. In other words, the far left his vehicle tow the far right on we're interested in solving for his G. M's been a multi planet. Both sides to a little bit of algebraic gymnastics and see that this is thie expression for G. M. So now we can go ahead and plug in numbers a one and then three point two, four and seventeen home fired plug all that good stuff. And the day after the gravitational acceleration. On surface, the moon is warm point eight two meters, her square second, good good goods that was part of a and then in part B. We are going to want to find but the mass of the packages. So we really kind of set that up on. I find it easier to use numbers that were given to us in the problem instead of recycling answers that were found just because we'LL be more precise. And so the way that we saw on Earth was seventeen put five. The graft to Chuck's flourish on Earth that one snow concoct lit the mass of the pack is one point seven eight kilograms. Pretty light. What happened

So if the ball is being pulled by the moon by 40 new doctor, then the moon with our supposed the that that then the moon will be put up by the bottle with the same force for the neuter, according Toa Newton. Seconds are so force by ball on the moon equals 40 Newton, according Toa Newton's second law.


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