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Inside a star ship at rest on the earth, a ball rolls off the top of a horizontal table and lands a distance $D$ from the foot of the table. This star ship now lands on the unexplored Planet $X$ . The commander, Captain Curious, rolls the same ball off the same table with the same initial speed as on earth and finds that it lands a distance 2.76$D$ from the foot of the table. What is the acceleration due to gravity on Planet $\mathrm{X}$ ?

1.28$m / s^{2}$

Physics 101 Mechanics

Chapter 3

Motion in a Plane

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

University of Washington

Simon Fraser University

McMaster University

Lectures

03:28

Newton's Laws of Moti…

04:16

In mathematics, a proof is…

03:12

Inside a starship at rest …

01:01

In a spaceship acceleratin…

02:11

A $15-k g$ rock is dropped…

02:39

An astronaut on the planet…

03:55

A 15-kg rock is dropped fr…

01:53

03:16

A spacecraft descends vert…

01:39

A spaceship in deep space …

03:44

You are exploring a distan…

01:26

An astronaut on a distant …

01:11

A spaceship lifts off vert…

03:11

Planet $\mathbf{X} !$ When…

02:03

What is the acceleration d…

01:43

Free-Fall Acceleration…

03:10

Measuring $g .$ One way to…

01:35

You have just landed on Pl…

04:50

Predict/Calculate A ball r…

06:01

(a) A space vehicle is lau…

02:49

A small ball rolls horizon…

10:39

So the ball moves with the project in motion with an initial velocity V. Not that is horizontal. And as at this horizontal, so this means that we not X is equal to be not on DH, not wine is hell. Also the X in Seattle on DH he y is negative, the acceleration of gravity But the acceleration due to gravity changes from quiet 9.8 meter for seconds. Grab on Odd. Who lets a g X on Planet X So in this accretion that I don't really like to be negative team can be dirty r d x depending on which planet the ball what is so for solving the use the vertical motion to find the time in the air. So we lose this equation over here and this is basically will do negative net which is by minus Why not half the light? It's great because we're not by the city bond. This ifs time to be quiet. That's right. A storm again. So you guys physically negative 50 pounds to spare. So this gives timeto be called toe h Oh, don't come up now you might be wondering why this value is minus edge and not blessed. JJ, this is because the ball is falling down World. This means that white this list and why not there wise the final height off the wall. And why eat? So why is less than why not? And for this reason, why minus why not? Should be negative times the height off the board. So we have the time now. Then we will lose this The question off here, the same as we used over here. But except we will solve it for, uh, the ex compliments. And this is equal to six minus X not No 60 This nexus Eagle on and off. For time, we can use the value that we found here. So this will be quick. Re not ex. You know the access. Basically be not on diving isto over too on X minus. X knowledge is basically capital city or not Knights. No, this gifts, they be quiet too. Three times to it. Move with deep because I'm using the values for art. You have to write Tiki on DH for on when the ball is on Planet X. This value is 2.76 dynasty from Planet X and this means 2.7 sixteen 16 is equal to you. Think times two at Mobile TTX. Now that we have these two questions, let's divide these two questions. So we will divide Dean, destroying a date. So it will be clear. So, Mr Billy, we will divide the respective sides. So you overto points and 16 is going to be. We could go with this value over this on this games T X t. So this is equitable. Deeks, this line over 2.76 is quite the next party. And this this takes to the equal group. All right, 2.76 cracked. Basically, I'm squaring with the silence and lands on fire geeks. This is a ploy. That was your point. 12312 on We know that Jean 9.8 beautiful seconds, girl. Santi, explain Bie 1.1 point 28 meter presidents. So acceleration on Planet X is going to be negative. Gee, x because acceleration due to gravity Miss Don Juan soon. Hey, Why? Because this's acceleration along extra addiction on DH. You have acceleration along my direction on DH for Planet X. Very Tia would send the check now I see that from Planet X. Acceleration due to gravity Is Lis then that then planet. What Smee is that? It takes the ball longer to reach the floor and it travels farther, Santilli.

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