# Calculating Maximum Speed of a 65.0- fish on an Ideal Spring

• senoltreble
In summary, the conversation is discussing a problem involving a proud deep-sea fisherman hanging a 65.0- fish from an ideal spring with a negligible mass. The fish stretches the spring by 0.120 and the spring constant is given as 5310N/m. The problem is asking for the maximum speed the fish will reach. There is a discussion about using the velocity of vertical SHM to solve the problem, but the value of w is unknown. There is also a disagreement about the correct value of the spring constant, as the distance given is the maximum stretch of the spring, not the equilibrium position.
senoltreble

## Homework Statement

A proud deep-sea fisherman hangs a 65.0- fish from an ideal spring having negligible mass. The fish stretches the spring 0.120 . k= 5310N/m

Im suppose to find the maximum speed it will reach.

## The Attempt at a Solution

I heard that velocity of vertical SHM can be found by wA, but i don't know what w is. So I am having hard time solving this question.

I don't understand what this problem is asking.

A proud deep-sea fisherman hangs a 65.0- fish from an ideal spring having negligible mass. The fish stretches the spring 0.120 . k= 5310N/m

As I read this, it seems that the fish is in its equilibrium position and is therefore static.

...

senoltreble said:
k= 5310N/m
Is the spring constant given or did you calculate it?

What is the maximum speed it will reach? is the question. I found the spring constant, but i don't know if it helps solving the question

senoltreble said:
What is the maximum speed it will reach? is the question.
I understand the question.

I found the spring constant, but i don't know if it helps solving the question
You think you found the spring constant, but you made an error. The distance given is the maximum stretch of the spring from its unstretched position. So where's the new equilibrium point? Use that to find the correct value of the spring constant.

## 1. How do you calculate the maximum speed of a 65.0- fish on an ideal spring?

The maximum speed of a 65.0- fish on an ideal spring can be calculated using the formula v = √(k/m), where v is the maximum speed, k is the spring constant, and m is the mass of the fish.

## 2. What is an ideal spring?

An ideal spring is a theoretical concept in physics that assumes a spring has no mass, no damping, and obeys Hooke's law perfectly. This means that the force exerted by the spring is directly proportional to the displacement of the object attached to it.

## 3. How do you determine the spring constant for an ideal spring?

The spring constant for an ideal spring can be determined by dividing the force exerted by the spring by the displacement of the object attached to it. This value remains constant as long as the spring obeys Hooke's law.

## 4. Can the maximum speed of a fish on an ideal spring be greater than the speed of light?

No, the maximum speed of a fish on an ideal spring cannot be greater than the speed of light. This is because the speed of light is the ultimate speed limit in the universe and any object that has mass cannot exceed this speed.

## 5. Does the mass of the fish affect the maximum speed on an ideal spring?

Yes, the mass of the fish does affect the maximum speed on an ideal spring. According to the formula v = √(k/m), as the mass of the fish increases, the maximum speed decreases. This means that a heavier fish will have a lower maximum speed on the same ideal spring compared to a lighter fish.

Replies
7
Views
2K
Replies
3
Views
3K
Replies
2
Views
9K
Replies
4
Views
2K
Replies
9
Views
2K
Replies
3
Views
1K
Replies
1
Views
8K
Replies
9
Views
2K
Replies
12
Views
4K
Replies
6
Views
2K