Two springs one trolley, find velocity

In summary, a two spring one trolley system is a physics experiment used to study the motion and velocity of an object attached to two springs. The velocity of the trolley can be found using the equation v = √(k/m), where v is the velocity, k is the spring constant, and m is the mass of the trolley. The purpose of using two springs is to obtain a more accurate measurement of the velocity and demonstrate the concept of adding forces together. Changing the spring constant will affect the velocity of the trolley, as a higher spring constant results in a greater force and thus a higher velocity. Factors that may affect the accuracy of the velocity measurement include air resistance, friction, and human error, which should be minimized
  • #1
coconut62
161
1

Homework Statement



Please refer to the image.

My workings= pencil
Answer= pen

Why is my working wrong? What wrong assumptions did I make?

Homework Equations



Hooke's law/Newton's second law/ Elastic potential energy =0.5 kx^2

The Attempt at a Solution


As shown in the image.
 

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  • #2
You used a kinematic formula for uniformly accelerated motion. That won't apply here, since the acceleration varies with displacement.

Stick to energy conservation.

What is the total spring PE at equilibrium?

What is the total spring PE when the trolley is displaced?
 
  • #3
Got it, thank you.
 

1. What is a two spring one trolley system?

A two spring one trolley system is a physics experiment designed to study the motion and velocity of an object attached to two springs. The trolley is usually a small, movable cart, and the two springs are attached to either end of the trolley.

2. How do you find the velocity of the trolley in this experiment?

The velocity of the trolley can be found by using the equation v = √(k/m), where v is the velocity, k is the spring constant, and m is the mass of the trolley. This equation takes into account the force exerted by the two springs and the mass of the trolley.

3. What is the purpose of using two springs in this experiment?

Using two springs allows for a more accurate measurement of the velocity of the trolley. It also demonstrates the concept of adding forces together, as the springs will exert a combined force on the trolley.

4. How does changing the spring constant affect the velocity of the trolley?

The spring constant, k, is directly proportional to the velocity, meaning that as the spring constant increases, the velocity of the trolley will also increase. This is because a higher spring constant means a greater force is being exerted by the springs on the trolley.

5. What are some factors that may affect the accuracy of the velocity measurement?

Some factors that may affect the accuracy of the velocity measurement in this experiment include air resistance, friction between the trolley and the surface it is moving on, and human error when timing the motion of the trolley. These factors should be minimized as much as possible to obtain an accurate measurement.

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