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Mark the correct statement: Hooke's law states that the force needed to extend or compress a...
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...
Hooke's Law states that the length L of a spring is a linear function of the force F applied to it. (See the figure below and Example 6.92.) Accordingly, there are constants a and b such that The...
Hooke's Law states that the length L of a spring is a linear function of the force F applied to it. (See the figure below and Example 6.92.) Accordingly, there are constants a and b such that The table below shows the results of attaching various weights to a spring. F(oz) 2 468 L(in) 810.8 12.7 14.8 (a) Determine the constants a and b by finding the least squares approximating line for these data. What does a represent? a represents...
1) We use this formula: [Experimental value – Theoretical value]/ [Theoretical value] to calculate: Group of...
1) We use this formula: [Experimental value – Theoretical value]/ [Theoretical value] to calculate: Group of answer choices Atomic decay Biased Error Relative percent error Efficiency Redshift 2)You measure the diameter of a cylinder 5 times and get five different values (d1, d2, d3, d4, d5.) Then, the average value would be: Group of answer choices (d1 x d2 x d3 x d4 x d5) divided by 5 (d1 + d2 + d3 + d4 + d5) divided by 5...
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...
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs....
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. Part 1. Suppose that it takes...
2. Question from 1.1: Rectangular Coordinatas Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring An overh...
2. Question from 1.1: Rectangular Coordinatas Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring An overhead garage door has two springs, one on each side of the door. A force of 11 pounds is required to stretch each spring 1 foot. Because of a pulley system, the springs stretch only one-half the distance the door travels. The door moves a total of 10 feet,...
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...
Consider a spring that does not obey Hooke's law very faithfully. One end of the spring...
Consider a spring that does not obey Hooke's law very faithfully. One end of the spring is fixed. To keep the spring stretched or compressed an amount x, a force along the x-axis with x-component Fx=kx−bx2+cx3 must be applied to the free end. Here k=100N/m, b=700N/m2, and c=12000N/m3. Note that x>0 when the spring is stretched and x<0 when it is compressed. A)How much work must be done to stretch this spring by 0.050 m from its unstretched length? B)How...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is req...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
Hooke's Law states that the length L of a spring is a linear function of the force F applied to it. (See the figure below and Example 6.92.) Accordingly, there are constants a and b such that The table below shows the results of attaching various weights to a spring. F(oz) 2 468 L(in) 810.8 12.7 14.8 (a) Determine the constants a and b by finding the least squares approximating line for these data. What does a represent? a represents...
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...
(1 point) Finding the work done in stretching or compressing a spring. Hooke's Law for Springs. According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x) = kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive. Part 1. Suppose that it takes...
2. Question from 1.1: Rectangular Coordinatas Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring An overhead garage door has two springs, one on each side of the door. A force of 11 pounds is required to stretch each spring 1 foot. Because of a pulley system, the springs stretch only one-half the distance the door travels. The door moves a total of 10 feet,...
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...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
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