I keep geting this question wrong and cant figure out what i am doing wrong. Help please.
When you push a 1.75- book resting on a tabletop, it takes 2.23 to start the book sliding. Once it is sliding, however, it takes only 1.45 to keep the book moving with constant speed.
What is the coefficient of static friction between the book and the tabletop?
What is the coefficient of kinetic friction between the book and the tabletop?
What did you get, and how?
i tried it many different ways. but basically i used fk=ukN . forexample for static friction (uk) the acceleration= o
so unN=ma
us(1.45)=1.75kg(0)
us=1.45 and i got the wrong
...answer**
then for kinetic friction, i am clueless how to find the acceleration since there is no speed given in the equation. i know there is somehting i am missing or that i am looking at this question in the wrong way.
the varible i think are 1.75kg for the weight of the book
and 2.23N to start the books motion and 1.45N to get it at constant speed
just clearning that up from the question
The question does not ask for acceleration. It only reduced the pushing force once it starts so that the book moves at constant speed.
You do not indicate units, which can be a major cause of the problem.
Force and can be expressed in newtons (N), and mass in kg.
Weight due to a mass of m (kg) is mg (N).
Fk=μk*N ...(1)
is correct, except that take care that N is expressed in newtons using
N=mg
so
μk = Fk/N = Fk/(mg)
Fs=μs*N
μs = Fs/N = Fs/(mg)
See if you find the correct answer with the above information.
ok got it. thank you.
To find the coefficient of static friction, you need to use the equation:
Static friction force = coefficient of static friction * normal force
In this case, the normal force is the weight of the book since it is resting on the table. You can calculate the weight of the book using the formula:
Weight = mass * acceleration due to gravity
Here's how you can solve for the coefficient of static friction:
1. Calculate the weight of the book:
Weight = mass * acceleration due to gravity
Given mass of the book = 1.75 kg
Acceleration due to gravity = 9.8 m/s^2 (approximately)
Weight = 1.75 kg * 9.8 m/s^2 = 17.15 N
2. Calculate the static friction force required to start the book sliding:
Static friction force = force required to start the book sliding = 2.23 N
3. Use the equation to find the coefficient of static friction:
Static friction force = coefficient of static friction * normal force
Coefficient of static friction = Static friction force / normal force
Coefficient of static friction = 2.23 N / 17.15 N
Now, you can perform the calculation to find the coefficient of static friction.
To find the coefficient of kinetic friction, you need to use the equation:
Kinetic friction force = coefficient of kinetic friction * normal force
In this case, the normal force is still the weight of the book.
Here's how you can solve for the coefficient of kinetic friction:
1. Calculate the kinetic friction force required to keep the book moving with constant speed:
Kinetic friction force = force required to keep the book moving = 1.45 N
2. Use the equation to find the coefficient of kinetic friction:
Kinetic friction force = coefficient of kinetic friction * normal force
Coefficient of kinetic friction = Kinetic friction force / normal force
Coefficient of kinetic friction = 1.45 N / 17.15 N
Now, you can perform the calculation to find the coefficient of kinetic friction.
So, to summarize:
- To find the coefficient of static friction, divide the force required to start the book sliding by the weight of the book.
- To find the coefficient of kinetic friction, divide the force required to keep the book moving by the weight of the book.