How Do You Calculate Mass and Frictional Force in Physics Problems?

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To calculate mass and frictional force, start by analyzing the forces acting on the box, including the applied force, frictional force, and normal force. The kinetic coefficient of friction is given as 0.64, and the acceleration is 4 m/s², allowing for the use of Newton's second law to establish relationships between these forces. A free-body diagram is essential to visualize the forces and their interactions, particularly in determining the normal force. By expressing the equations symbolically, one can isolate mass (m) and subsequently calculate the frictional force using the coefficient of friction. Proper algebraic manipulation will yield the necessary values for mass and frictional force.
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Homework Statement



A force of 400 Newtons is applied horizontally to a box. The kinetic coefficient of friction is .64 and the acceleration of the box is 4 m/s^2. Find the mass and the force of friction.

Homework Equations


assume that acceleration due to gravity or g=10 m/s^2

The Attempt at a Solution


please explain!
 
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Welcome to PF.
Did you draw the free-body diagram?

There should be four forces on it.
Are the forces balanced?
Are any of them related to each other?
 
yeah i drew the free body diagram and have that there are four forces but I am having trouble finding the normal force without knowing the mass since i need it to find the force of fricition
 
Write everything out as symbols - use algebra to get an equation that says "m=" a bunch of symbols. Then put the numbers in.
 

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