Determine the energy of the spring for each of the compressions and write the values in the data table.- Using your values for D and H (from the incline alone), determine the value for “h” from your data generated from your “d” values. - Make a graph with spring energy vs. the height. Initial DataLength of Ramp, D (m)Height of Ramp, H (m)Spring Constant, k (N/m)1.30.08200SpringCompression (m)Spring Energy(J)Height “h" of the art at thetop of the incline (m)Distance "d" cart travelsalong the incline (m)0.010.1060.020.4390.030.9590.041.6740.052.600 Performance TaskIn a closed system, mechanical energy is conserved. In this performance task, you will determine themeaning of the slope of a graph produced when spring energy is used to propel a cart up an incline.When determining the height traveled by the cart, students measured the length of the ramp, D, theheight of the ramp, H, and the distance the cart travels along the ramp as pictured in Figure 1. To find theheight the cart travels, they simply use the ratio below and solve for "h":HhddhHFigure 1II

a) The spring’s energy can be represented as, Here, k and x represent the spring’s constant and the…

Determine the energy of the spring for each of the compressions and write the values in the data table. - Using your values for D and H (from the incline alone), determine the value for “h” from your data generated from your “d” values. - Make a graph with spring energy vs. the height.

Determine the energy of the spring for each of the compressions and write the values in the data table. - Using your values for D and H (from the incline alone), determine the value for “h” from your data generated from your “d” values. - Make a graph with spring energy vs. the height.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter11: Energy And Its Conservation

Section: Chapter Questions

Problem 63A

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

Determine the energy of the spring for each of the compressions and write the values in the data table.

- Using your values for D and H (from the incline alone), determine the value for “h” from your data generated from your “d” values.

- Make a graph with spring energy vs. the height.

Initial Data
Length of Ramp, D (m)
Height of Ramp, H (m)
Spring Constant, k (N/m)
1.3
0.08
200
Spring
Compression (m)
Spring Energy
(J)
Height “h" of the art at the
top of the incline (m)
Distance "d" cart travels
along the incline (m)
0.01
0.106
0.02
0.439
0.03
0.959
0.04
1.674
0.05
2.600

Performance Task
In a closed system, mechanical energy is conserved. In this performance task, you will determine the
meaning of the slope of a graph produced when spring energy is used to propel a cart up an incline.
When determining the height traveled by the cart, students measured the length of the ramp, D, the
height of the ramp, H, and the distance the cart travels along the ramp as pictured in Figure 1. To find the
height the cart travels, they simply use the ratio below and solve for "h":
H
h
d
d
h
H
Figure 1
II

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