Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

A scientific instrument that weighs 85.2 $\mathrm{N}$ on the earth weighs 32.2 $\mathrm{N}$ at the surface of Mercury. (a) What is the acceleration due to gravity on Mercury? (b) What is the instrument's mass on earth and on Mercury?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

see solution.

Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

University of Winnipeg

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:32

A scientific instrument th…

03:27

01:12

Ascientific instrument tha…

01:24

Astronomy On the surface o…

Mars has a mass of $6.46 \…

01:36

The mass of Venus is 81.5%…

05:58

The mass of Venus is 81.5$…

02:26

An object has a mass of 30…

01:17

Mercury has a radius of ab…

02:02

07:01

(a) Calculate the magnitud…

it was from a given the weight of an object on earth. Wait an object of mercury and the rest was acceleration to gravity of mercury. Well, we know at 85 day point to Newton's needs to be cool. Its mass. It's 9.8 years per second squared. We also know that 32.2 Newton's needs to equal the same mass, but times the acceleration or she acceleration due to gravity on mercury. So new GM for gravity, mercury We can really solve these questions for em, and I really end up with is I know that 85.2 mutants by two by 9.8 meters per second squared is to equal 32.2. Nunes, divided by the gravity of mercury so simple finest have 85 85 point to Nunes, divided by 32.2. Nunes is equal to anointed. Parentheses is equal to I'm 18 meters per second squared, divided by the gravity mercury flipping these equation around, we see that we have. Do you so say it made this one that led to this going further. This tells me that what I have is I have just so basically solving for your driving a mercury I have g of em is equal to 9.8 meters per second squared times 32.2 Newtons divided by 85.2. Moons should have the right because that would flip over gravity. And that would then have to flip over the other side. Yeah, so that's right, because I put 32 on top. Okay, well, Newton's divide out each, and so the gravity ends up being equal to use my capital. Quick 2.2 divided by 85.2 times. 9.8 a 3.7 Oh, for I will say 3.7 meters per second squared. All right, that is the gravity on mercury or the exploration to grabbing mercury. What is its mass? Well, we could actually that one right away. Remember that? It's a mass is independent of. That doesn't change. Only, uh, gravity does so right here from this first equation. George, I know that I can take 85.2 names divided by 9.8 meters per second squared, giving the same answers. If I do the, um 32 point to Newton's divided by 3.7 needs for second squared. It was a good check if we did this right. This should work. Um, And either way, that will give me the mass, In which case, we simply actually solving the kind of leader we get. 32.2, divided by 3.7 eight 0.7 kilograms is what I got for the right hand one. And just to check if I to 85.2 and I divided by 0.8, that can't be right. 5.2 divided by and when it is also a 0.7 Yepes. It worked. So our mass is a 0.7 kilograms. We're done.

View More Answers From This Book

Find Another Textbook