I don't think you mean x=30. Also, be careful with units. Put all distances in metres.brake4country said:F = -kx. So 100 = 1000(30-x) and x = 30 cm.
Yes.brake4country said:Can I use 100 N for the F in F = -kx?
In the equation F = -kx, what does x represent?brake4country said:If I put everything in meters, I get 40 cm. Here is my calculation:
F = -kx
-100 = -1000(x-0.3)
x = .4 m or x = 40 cm.
Did I set up the math correctly? I am not sure whether it should be x-0.3 or 0.3--x
No. Please answer my question regarding what x represents in that equation.brake4country said:Ok, my mistake. It should be -100 = -1000(.3x) = 33 cm. If this is correct then I understand.
Right. You are told F and k. Calculate x.brake4country said:X is the change (displacement) from its resting position.
The relationship between force and distance for a compressed spring can be described by Hooke's Law, which states that the force applied on a spring is directly proportional to the distance the spring is compressed. This means that as the force increases, the distance the spring is compressed also increases.
The spring constant, represented by the letter "k", is a measure of the stiffness of a spring. A higher spring constant means that the spring is stiffer and requires more force to be compressed. In the case of a compressed spring with a spring constant of 1000N/m, a force of 100N will compress the spring to a length of 30cm.
The potential energy stored in a compressed spring can be calculated using the formula PE = 1/2 * k * x^2, where PE is the potential energy, k is the spring constant, and x is the distance the spring is compressed. In this case, the potential energy stored in a compressed spring with a force of 100N and a length of 30cm would be 450J.
The distance a spring is compressed is directly proportional to the potential energy stored. This means that as the distance of compression increases, the potential energy stored also increases. Using the formula PE = 1/2 * k * x^2, we can see that the potential energy stored is dependent on the square of the distance the spring is compressed.
When the force is removed from a compressed spring, the spring will return to its original length due to its elastic properties. This is known as elastic potential energy, where the potential energy stored in the compressed spring is converted back to kinetic energy as the spring returns to its original state.