![]() So the quantity □ can be expressed either in units of newtons per kilogram or equivalently in units of meters per second squared. So we have then that units of newtons per kilogram are equal to meters per second squared, where we can recall that meters per second squared is the SI unit for acceleration. On the right, the kilograms in the numerator and denominator cancel out. So then the units of newtons per kilogram can be written as kilogram-meters per second squared divided by kilograms. We can recall though that a newton is equivalent to a kilogram-meter per second squared. In fact, when we write the quantity □ with units of newtons per kilogram, we would then typically refer to it as the gravitational field strength. Now, we said that this quantity □ is the acceleration due to gravity, but we might also see it referred to as the gravitational field strength. Since the kilograms and per kilogram cancel each other out, we’re left with units of newtons, which is equal to the units on the left-hand side of the equation. Then, the units on the right-hand side are equal to kilograms multiplied by newtons per kilogram. Recalling that the units on the left-hand side of an equation must be the same as the units on the right-hand side of that equation, we can see that the quantity □ must have units of newtons per kilogram. Then, on the right-hand side of the equation, the SI unit for mass is the kilogram. Now, since weight is a force, its SI unit is the newton. Specifically, the weight force □ is equal to the object’s mass □ multiplied by the acceleration due to gravity □. And in order to do this, we can recall that there’s a formula which relates this acceleration due to gravity, the mass of an object, and the weight of the object. We’re asked to find the acceleration due to gravity at the surface of Mars. ![]() And we know that it’s equal to 296 newtons in magnitude. We’ve labeled this weight force as capital □. And that force is going to act vertically downward toward the center of mass of Mars. We’re also told that she applies a force to the ground beneath her due to her weight. ![]() ![]() We’re told that this astronaut has a mass of 80 kilograms, which we’ve labeled as □. Okay, so in this question, we’ve got an astronaut who’s standing on the surface of Mars. What is the acceleration due to gravity at the surface of Mars? On Mars, the astronaut applies a force of 296 newtons to the ground beneath her due to her weight. An astronaut who has a mass of 80 kilograms goes to Mars. ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |