If a #3 kg# object moving at #20 m/s# slows to a halt after moving #500 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
I got
The only horizontal force acting on the object is kinetic friction:
giving an acceleration of:
Finally we can use Newton's second law to equate the resultant of the forces acting on the object to mass and acceleration:
BUT: horizontally, the only force acting on the object is friction (IN OPPOSITE DIRECTION TO THE MOTION ) so that we can write:
in numbers:
By signing up, you agree to our Terms of Service and Privacy Policy
The coefficient of kinetic friction can be calculated using the equation ( \mu_k = \frac{F_{\text{friction}}}{N} ), where ( F_{\text{friction}} ) is the force of kinetic friction and ( N ) is the normal force. The normal force can be calculated as ( N = mg ), where ( m ) is the mass of the object and ( g ) is the acceleration due to gravity (approximately ( 9.8 , \text{m/s}^2 )). The force of kinetic friction can be calculated using ( F_{\text{friction}} = \mu_k \cdot N ). Given the initial velocity, final velocity, and distance traveled, you can calculate the acceleration using the equation ( v_f^2 = v_i^2 + 2a d ), where ( v_f ) is the final velocity, ( v_i ) is the initial velocity, ( a ) is the acceleration, and ( d ) is the distance. Once you have the acceleration, you can use the equation ( F_{\text{net}} = ma ) to find the net force acting on the object. The net force is the sum of the force of kinetic friction and the force due to acceleration. Rearranging the equation gives ( F_{\text{friction}} = ma - mg ). Substitute the values you have into the equations and solve for ( \mu_k ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- About 40 J is required to push a crate 4 m across a floor. If the push is in the same direction as the motion of the crate, what is the force on the crate?
- An object with a mass of #6 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 2+cscx #. How much work would it take to move the object over #x in [(3pi)/4, (7pi)/8], where x is in meters?
- A block weighing #8 kg# is on a plane with an incline of #pi/4# and friction coefficient of #2#. How much force, if any, is necessary to keep the block from sliding down?
- Suppose that a large cargo truck needs to cross a bridge, The truck is 30 m long and 3.2 m wide. The cargo exerts a force or 54.000 N The bridge can only withstand 450 Pa of pressure. Is it safe for the truck to cross the bridge?
- How fast will an object with a mass of #16 kg# accelerate if a force of #440 N# is constantly applied to it?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7