# An object with a mass of #4 kg# is lying still on a surface and is compressing a horizontal spring by #1/4 m#. If the spring's constant is # 8 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

The coefficient of static friction is

The static friction coefficient is

Consequently,

The typical force is

The static friction coefficient is

By signing up, you agree to our Terms of Service and Privacy Policy

The minimum value of the surface's coefficient of static friction can be calculated using the formula: coefficient of static friction = (spring constant * compression distance) / (mass * gravity). Plugging in the given values: spring constant = 8 (kg)/s², compression distance = 1/4 m, mass = 4 kg, and gravity = 9.8 m/s², the calculation yields a minimum coefficient of static friction of approximately 0.51.

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.

- An object, previously at rest, slides #8 m# down a ramp, with an incline of #π/6 #, and then slides horizontally on the floor for another #5 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
- An object with a mass of #4 kg# is hanging from a spring with a constant of #3 (kg)/s^2#. If the spring is stretched by # 10 m#, what is the net force on the object?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,200 N#. If the plane's incline is #(5 pi )/8 # and the coefficient of friction is #3/7 #, what is the maximum mass that can be pulled up at one time?
- If an object is moving at #7# #ms^-1# over a surface with a kinetic friction coefficient of #u_k=2/g#, how far will the object continue to move?
- An object with a mass of #7 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 1+x^2-xcos(x) #. How much work would it take to move the object over #x in [pi, 4pi], where x is in meters?

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