I (formula or tips) for solving friction force question

[cyks07]

the question is

A 35kg crate rests on the back end of a flat bed truck. the coefficient of static friction between the crate and the bed is 0.175

what is the maximum force of static friction that the truck's bed can exert on the crate?

b) what is the maximum acceleration the static friction can cause the crate to have?

please help..
thakn you

 

[Andrew Mason]

the question is

A 35kg crate rests on the back end of a flat bed truck. the coefficient of static friction between the crate and the bed is 0.175

what is the maximum force of static friction that the truck's bed can exert on the crate?

b) what is the maximum acceleration the static friction can cause the crate to have?

please help..
thakn you

What is the force on the crate when the truck's acceleration is a? (with the box not sliding) What supplies that force? (hint: it has something to do with friction). What is the maximum force of (static) friction between the truck and the box? Answer those questions and you will be able to solve this.

AM

 

[kyle8921]

I would first recommend using the formula for calculating friction force: F = μN, where F is the friction force, μ is the coefficient of friction, and N is the normal force (in this case, the weight of the crate). This formula can be used to solve both parts of the question.

For part a), we can plug in the given values to the formula: F = (0.175)(35kg) = 6.125 N. This means that the maximum force of static friction that the truck's bed can exert on the crate is 6.125 N.

For part b), we can use the formula F = ma, where F is the friction force, m is the mass of the crate, and a is the acceleration. Since we know the maximum force of static friction from part a), we can rearrange the formula to solve for a: a = F/m = 6.125 N/35kg = 0.175 m/s^2. This means that the maximum acceleration the static friction can cause the crate to have is 0.175 m/s^2.

Additionally, as a scientist, I would also recommend considering the direction of the friction force. In this case, since the crate is resting on the back end of the truck, the friction force will act in the opposite direction of the truck's motion. This means that the maximum acceleration calculated in part b) would be negative, indicating that the crate would experience a deceleration.

I hope this helps and provides some tips for solving friction force questions. Remember to always use the appropriate formulas and consider the direction of the forces involved. Good luck!