# Physics

A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.420 . Suddenly, the plane accelerates forward, its altitude remaining constant. What is the maximum acceleration that the plane can have without the cup sliding backward on the table? Use g = 9.81 m/s2.

The only thing I could figure out was the static friction force which came out to be 4.12 N. I'm stuck trying to figure out how to find the acceleration. Please help!

1. 👍 0
2. 👎 0
3. 👁 102
1. The force needed to move the cup is Force Max(F)= Coefficient of friction(U)times Mass (M)times Gravity(G)and the force exerted by the plane is Mass(M) times Acceleration(A). Set these equal to each other since the force needed to move the cup is going to be the same as the force exerted by the plane and solve for (A).
UMG=MA
M cancels out leaving
UG=A
so the acceleration of the plane is equal to the coefficient of friction multiplied by gravity.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.18. Suddenly, the plane accelerates forward, its altitude

asked by Sam on October 3, 2012
2. ### Physics

A cup of coffee is sitting on a table in an airplane that is flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.37. Suddenly, the plane accelerates, its

asked by Anonymous on September 27, 2012
3. ### Physics

A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.410 . Suddenly, the plane accelerates forward, its altitude

asked by BrookeNeed on September 28, 2016
4. ### physics

A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.100 . Suddenly, the plane accelerates forward, its altitude

asked by Amy on December 13, 2012
5. ### physics

A cup of coffee is on a table in an airplane flying at a constant altitude and a constant velocity. The coefficient of static friction between the cup and the table is 0.420 . Suddenly, the plane accelerates forward, its altitude

asked by Kristyn on March 28, 2015
6. ### Physics

A cup of coffee is sitting in an airplane flying at constant speed and altitude. Mu between cup and table is .36. The plane accelerates, maintaining constant altitude. What is the maximum acceleration that the plan can have

asked by Anonymous on September 18, 2007
7. ### physics

A cup of coffee is sitting on a table in an airplane that is flying horizontally. The coefficient of static friction between the cup and the table is 0.258. Suddenly, the plane accelerates horizontally. What is the maximum

asked by Jill on December 14, 2014
8. ### Math

At an airport, a flight controller is in a tower 45m above the ground. She observes an airplane flying at a constant altitude at an angle of elevation of 14 degrees from her line of sight. Seven seconds later, the airplane flies

asked by BJ on May 31, 2012
9. ### math

an airplane is flying at a constant altitude of 28000 meters. when first seen to the east of the observer, the angle to the airplane is 71.5 degrees. after 73 seconds, the angle of elevation is 51.6 degrees. find the speed of the

asked by Kindell on February 19, 2008
10. ### physics

An airplane is flying horizontally with a speed of 1000 km/hr (278 m/s) when it drops a payload. The payload hits the ground 37 s later. (Neglect air drag and the curvature of the Earth. Take g = 10 m/s2.) (a) At what altitude H

asked by kelly on March 4, 2011

More Similar Questions