Calculating Stopping Distance with Spring Forces and Friction

In summary, the problem involves a block sliding on a frictionless surface with initial velocity and coming into contact with a spring and experiencing a friction force. The stopping distance of the block is equal to the amount of spring compression, and the given information includes the initial velocity, mass of the block, spring constant, and coefficient of kinetic friction. No other distance or compression values are provided.
  • #1
wxscientist
1
0
So I've been working on this for hours and trying to understand it but I just don't. It doesn't make sense to me. Here is my problem:

A block (M = 1.5 kg) is sliding along a frictionless surface with initial velocity Vo = 1.15 m/s. It comes in contact with the spring (k = 170 N/m) in the diagram, and when it does, it also experiences a friction force fk that opposed the motion. The coefficient of kinetic friction, (μk = 0.1).What is the stopping distance of the block?

The main thing is that I have no distance given or spring compression. Just Vo, k, M, and the coefficient of kinetic friction.
 
Physics news on Phys.org
  • #2
The amount of spring compression is equal to the stopping distance.
 

FAQ: Calculating Stopping Distance with Spring Forces and Friction

What is a spring force?

A spring force is a force that results from the deformation of a spring. When a spring is compressed or stretched, it exerts a force in the opposite direction to try and return to its original shape.

How do you calculate the force of a spring?

The force of a spring can be calculated using the equation F = -kx, where F is the force, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

What is the relationship between spring constant and force?

The spring constant is a measure of the stiffness of a spring, and it determines how much force is required to stretch or compress the spring by a certain amount. The higher the spring constant, the greater the force required to deform the spring.

What factors affect the strength of a spring force?

The strength of a spring force is affected by the spring constant, the displacement of the spring, and the mass attached to the spring. The material and shape of the spring can also play a role in determining its strength.

How is spring force used in real-world applications?

Spring forces are used in many real-world applications, such as in car suspension systems, door hinges, and shock absorbers. They are also used in various types of machinery, such as conveyor belts and trampolines, to provide controlled movement and absorb shock.

Similar threads

Why can we move the spring with constant speed when we apply a force?
Replies
29
Views
2K
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
616
Coefficient of Friction question for a cart going down a wooden ramp
Replies
18
Views
2K
Question about springs and rotational/translational energy
Replies
4
Views
236
Calculating the spring force constant K
Replies
14
Views
948
How can I determine the instant the block overcomes static friction?
2
Replies
61
Views
2K
Is it possible to calculate this question with force
Replies
3
Views
1K
How to solve a differential equation for a mass-spring oscillator?
Replies
2
Views
1K
Problem with when to use Force and Energy. What compresses spring/
Replies
3
Views
864
Find elastic energy in the compressed spring.
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top