You perform the Hooke's Law experiment and create a plot of Displacement vs. Force. You add...
You perform the Hooke's Law experiment and create a plot of Displacement vs. Force. You add a linear fit and find the following equation for the line: y=0.192 x - 0.011 What is the spring constant, k (in N/m or kg/s2)?
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You perform the Hooke's Law experiment and create a plot of
Displacement vs. Force. You add...
You perform the Simple Harmonic Motion experiment and create a plot of Period-Squared vs. Mass. You...
You perform the Simple Harmonic Motion experiment and create a plot of Period-Squared vs. Mass. You add a linear fit and find the following equation of the line: y=9.52x-0.067 What is the spring constant, k (in N/m or kg/s2)?
To understand the use of Hooke's law for a spring. Hooke's law states that the restoring...
To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F⃗ on a spring when it has been stretched or compressed is proportional to the displacement x⃗ of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that F⃗ ∝x⃗ means that F⃗ is equal to a constant times x⃗ . For a spring, the proportionality constant is called the spring constant and denoted...
Table 1: Experimental data for Hooke's Law lab. Mass (kg) Force (N) Ax (m) 0.100 0.100(9.8)=...
Table 1: Experimental data for Hooke's Law lab. Mass (kg) Force (N) Ax (m) 0.100 0.100(9.8)= 0.98 N 0.017 0.139 0.139(9.8)= 1.362 N 0.023 0.165 0.165(9.8)= 1.617 N 0.028 0.090 0.09(9.8)= 0.882 N 0.015 0.300 0.300(9.8)= 2.94 N 0.050 0.050 0.050(9.8)= 0.49 N 0.009 Part B: Determining Unknown Mass Now that you have your spring constant, we are going to determine unknown masses. For the red and blue masses in the simulation, perform experiments to determine their mass. Show your...
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
please fill out the table with explanation EXPERIMENT #12 HOOKE'S LAW AND SPRING DEFORMATION EXPERIMENT A...
please fill out the table with explanation
EXPERIMENT #12 HOOKE'S LAW AND SPRING DEFORMATION EXPERIMENT A measurement of mass(kg) attached to an extensible spring were conducted and recorded. Initially a mass in kg was attached to the spring, and the corresponding extension was measure with a meter stick recorded. Subsequent masses were added to mass already hanging on the spring and the table below was computed to give stress (Pa), and strain of the experiment. DATA FROM THE EXPERIMENT COPPER...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
Questions 4 and 5 QUESTIONS: 1.Plot a graph of the force acting on the spring versus...
Questions 4 and 5
QUESTIONS: 1.Plot a graph of the force acting on the spring versus spring extension. 2. (a) Use the graph to calculate the spring constant including units. () Does the spring obey Hooke's Law over the range of applied forces used? Justify your response. (e) Write the equation for the spring which describes the relationship between extension and applied force to the spring. 3. (a) Use the spring equation to calculate the extension of the spring when...
Given these values, how would you report the best estimate spring constant (K) with uncertainty? Note:...
Given these values, how would you report the best estimate
spring constant (K) with uncertainty?
Note:
Holder height = x (displacement from equilibrium)
like in the equation for Hooke's law
F = -k(x)
when plotted on a graph, these values produce this equation
(best-fit line) ...
Thank you
Holder Height (m) Force (N) Standard deviation (holder height) 0.4348 0.3989 0.363 0.3272 0.2907 0.49 0.686 0.882 1.078 1.274 0.000398:3 0.001153 0.001119 0.002475 0.004052 y =-5.4459x +2.8584
1. According to Hooke's law, the force exerted by a spring is proportional to the amount...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAX, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 103 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAx, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 10 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
Table 1: Experimental data for Hooke's Law lab. Mass (kg) Force (N) Ax (m) 0.100 0.100(9.8)= 0.98 N 0.017 0.139 0.139(9.8)= 1.362 N 0.023 0.165 0.165(9.8)= 1.617 N 0.028 0.090 0.09(9.8)= 0.882 N 0.015 0.300 0.300(9.8)= 2.94 N 0.050 0.050 0.050(9.8)= 0.49 N 0.009 Part B: Determining Unknown Mass Now that you have your spring constant, we are going to determine unknown masses. For the red and blue masses in the simulation, perform experiments to determine their mass. Show your...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
please fill out the table with explanation
EXPERIMENT #12 HOOKE'S LAW AND SPRING DEFORMATION EXPERIMENT A measurement of mass(kg) attached to an extensible spring were conducted and recorded. Initially a mass in kg was attached to the spring, and the corresponding extension was measure with a meter stick recorded. Subsequent masses were added to mass already hanging on the spring and the table below was computed to give stress (Pa), and strain of the experiment. DATA FROM THE EXPERIMENT COPPER...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
Questions 4 and 5
QUESTIONS: 1.Plot a graph of the force acting on the spring versus spring extension. 2. (a) Use the graph to calculate the spring constant including units. () Does the spring obey Hooke's Law over the range of applied forces used? Justify your response. (e) Write the equation for the spring which describes the relationship between extension and applied force to the spring. 3. (a) Use the spring equation to calculate the extension of the spring when...
Given these values, how would you report the best estimate
spring constant (K) with uncertainty?
Note:
Holder height = x (displacement from equilibrium)
like in the equation for Hooke's law
F = -k(x)
when plotted on a graph, these values produce this equation
(best-fit line) ...
Thank you
Holder Height (m) Force (N) Standard deviation (holder height) 0.4348 0.3989 0.363 0.3272 0.2907 0.49 0.686 0.882 1.078 1.274 0.000398:3 0.001153 0.001119 0.002475 0.004052 y =-5.4459x +2.8584
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAX, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 103 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
1. According to Hooke's law, the force exerted by a spring is proportional to the amount of stretch (or change in length Ax) and is given by F = -KAx, where the minus sign indicates it is a restoring force. If a force of 120 N acts on a mass 250 g attached to a spring of constant K = 54.55 x 10 N/m. Calculate the following: The change in length Ax The angular frequency (w) The frequency (f) The...
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