# An object with a mass of # 18 kg# is lying on a surface and is compressing a horizontal spring by #60 cm#. If the spring's constant is # 18 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?

The coefficient of static friction is

The coefficient of static friction is

Therefore,

The normal force is

The coefficient of static friction is

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

To find the minimum value of the surface's coefficient of static friction, we can use the formula:

μ_s = kx/mg

Where:

- μ_s is the coefficient of static friction,
- k is the spring constant (18 (kg)/s^2),
- x is the compression of the spring (60 cm = 0.6 m),
- m is the mass of the object (18 kg),
- g is the acceleration due to gravity (9.8 m/s^2).

Plugging in the values:

μ_s = (18 (kg)/s^2 * 0.6 m) / (18 kg * 9.8 m/s^2) = 0.6 / 9.8 ≈ 0.061

Therefore, the minimum value of the surface's coefficient of static friction is approximately 0.061.

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 with a mass of #7 kg# is on a ramp at an incline of #pi/8 #. If the object is being pushed up the ramp with a force of # 2 N#, what is the minimum coefficient of static friction needed for the object to remain put?
- A truck pulls boxes up an incline plane. The truck can exert a maximum force of #3,500 N#. If the plane's incline is #(5 pi )/8 # and the coefficient of friction is #7/12 #, what is the maximum mass that can be pulled up at one time?
- If a #8 kg# object moving at #16 m/s# slows to a halt after moving #80 m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
- An object with a mass of # 9 kg# is lying still on a surface and is compressing a horizontal spring by #2/3 m#. If the spring's constant is # 4 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
- How fast will an object with a mass of #16 kg# accelerate if a force of #96 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