A glass is slid across a bar top and eventually comes to rest. if the coefficient of friction between the glass and bar top is .32 what is the acceleration it experiences?
acceleration
= -(friction force)/(mass)
= -0.32 M*g/M
= -0.32 g = -3.14 m/s^2
To determine the acceleration experienced by the glass, we need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass. In this case, the net force is determined by the force of friction between the glass and the bar top.
The force of friction can be calculated using the equation:
frictional force = coefficient of friction * normal force
The normal force is the force exerted by the surface perpendicular to the direction of motion, which is equal to the weight of the glass (mass * gravity).
Assuming the mass of the glass is known, let's say it is "m" kg, and the acceleration due to gravity is approximately 9.8 m/s^2.
1. Calculate the normal force: normal force = mass * gravity
2. Calculate the frictional force: frictional force = coefficient of friction * normal force
3. Use Newton's second law to find the acceleration: acceleration = frictional force / mass
Let's perform these calculations.