There is a force that is required to compressed a non-standard spring as a function of...
There is a force that is required to compressed a non-standard spring as a function of displacement and it is given by the following equation:
F(z) = -Asin(bz) + kz,
Here:
A= 24N
B=8 rad/m
K=68 n/m
-Calculate what the work (in Joules) would be if the spring were to be compressed from z_1= .27 m to z_2= .51 m.
Homework Answers
value of b is given in radian so I used
value of cos theta in radian..Add Answer to:
There is a force that is required to compressed a non-standard
spring as a function of...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in jo...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
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...
Hang the 100 g mass on spring 1 and enter the additional displacement of the spring...
Hang the 100 g mass on spring 1 and enter the additional
displacement of the spring
_____10______cm. Calculate the spring constant of this
spring___________ N/m.
3. Place the 250 g mass on spring 3 and change the “Softness”
setting to 1 notch to the right of the middle.
Calculate the spring constant of spring 3
:_________________N/m.
Note that the displacement of the springs with the masses attached
is the NEW equilibrium length of the spring. The restoring force of
the...
(g) The relationship of the applied force F and the displacement x of a spring has...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
SF-2 The force required to stretch Force (N) (elongate) a spring is shown in the graph...
SF-2 The force required to stretch Force (N) (elongate) a spring is shown in the graph to the right. a) Find the spring constant K for b) The work required to stretch the 40 35 30 25 this spring. spring an infinitesimal distance dx is given by: dWk-Fdx where F-Kx. Do the integral to find an expression for the work required to stretch the spring from elongation xi to elongation x2. c) Find the work in joules to stretch 15...
Question 11 If a spring force is F-552 Nm and the spring is compressed by s...
Question 11 If a spring force is F-552 Nm and the spring is compressed by s = 0.25 m, the work done by the spring will be OA. -0.3125 Nm OB. 0.026 Nm C. - 0.026 Nm OD.0.3125 Nm A Moving to the next question prevents changes to this answer. arch 91 9 F2 F4 F6 F3 F5 F8 $ % % & 7 5 3 6 V E 7 8 R T 9 E IL G کی J Х...
A frictionless block of mass 2.30 kg is attached to an ideal spring with force constant...
A frictionless block of mass 2.30 kg is attached to an ideal spring with force constant 300 N/m . At t=0the spring is neither stretched nor compressed and the block is moving in the negative direction at a speed of 12.1 m/s . A. Find the amplitude. A =____ m B. Find the phase angle. ϕ = ____ rad C. Multiple Choice: Write an equation for the position as a function of time. (a.) x=(− 1.06 m )sin(( 11.4 rad/s...
Constants PartA A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300...
Constants PartA A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m. Att0 the block has velocity -4.00 m/s and displacement +0.200 m Find (a) the amplitude and (b) the phase angle SubmitR Request Answer Part B rad Submit Request Answer Part C Write an equation for the position as a function of time. Assume (t) in meters and t in seconds. a (t)- Submit F Request Answer
A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m Att-0...
A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m Att-0 the block has velocity -4.00 m/s and displacement +0.200 m. Correct Significant Figures Feedback: Your answer .382 m was either rounded differently or used a different number of significant figures than required for this part. ?: 1.02 rad Correct Significant Figures Feedback: Your answer 1.023 rad was either rounded differently or used a different number of significant figures than required for this part. Part...
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at o...
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at one end while the other end pushes (but is not attached to) a block of mass m in the horizontal direction. The block is initially held in place. Once released, the block accelerates to the right and achieves a final speed of ve at the point when it leaves...
3) Consider Hooke's Law: The force required to keep a spring in a compressed or stretched position x units from the spring's equilibrium position is F(x)-kr Calculate the work required, in joules, to stretch a spring 0.4 meters beyond its equilibrium position for each of the following scenarios. a) The spring requires 50 Newtons of force to hold it 0.1 m from its equilibrium position. b) The spring requires 2 Joules of work to stretch the spring 0.1 meter from...
Hang the 100 g mass on spring 1 and enter the additional
displacement of the spring
_____10______cm. Calculate the spring constant of this
spring___________ N/m.
3. Place the 250 g mass on spring 3 and change the “Softness”
setting to 1 notch to the right of the middle.
Calculate the spring constant of spring 3
:_________________N/m.
Note that the displacement of the springs with the masses attached
is the NEW equilibrium length of the spring. The restoring force of
the...
(g) The relationship of the applied force F and the displacement x of a spring has the gen eral form F = kx, where the constant k is called the spring constant and is a measure of the "stiffness" of the spring. Notice that this equation has the form of a straight line. Find the value of the spring constant k of the spring used in determining the experi- mental data plotted in the Fig. 1.6 graph. (Note: Because k...
SF-2 The force required to stretch Force (N) (elongate) a spring is shown in the graph to the right. a) Find the spring constant K for b) The work required to stretch the 40 35 30 25 this spring. spring an infinitesimal distance dx is given by: dWk-Fdx where F-Kx. Do the integral to find an expression for the work required to stretch the spring from elongation xi to elongation x2. c) Find the work in joules to stretch 15...
Question 11 If a spring force is F-552 Nm and the spring is compressed by s = 0.25 m, the work done by the spring will be OA. -0.3125 Nm OB. 0.026 Nm C. - 0.026 Nm OD.0.3125 Nm A Moving to the next question prevents changes to this answer. arch 91 9 F2 F4 F6 F3 F5 F8 $ % % & 7 5 3 6 V E 7 8 R T 9 E IL G کی J Х...
Constants PartA A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m. Att0 the block has velocity -4.00 m/s and displacement +0.200 m Find (a) the amplitude and (b) the phase angle SubmitR Request Answer Part B rad Submit Request Answer Part C Write an equation for the position as a function of time. Assume (t) in meters and t in seconds. a (t)- Submit F Request Answer
A 2.00-kg, frictionless block is attached to an ideal spring with force constant 300 N/m Att-0 the block has velocity -4.00 m/s and displacement +0.200 m. Correct Significant Figures Feedback: Your answer .382 m was either rounded differently or used a different number of significant figures than required for this part. ?: 1.02 rad Correct Significant Figures Feedback: Your answer 1.023 rad was either rounded differently or used a different number of significant figures than required for this part. Part...
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at one end while the other end pushes (but is not attached to) a block of mass m in the horizontal direction. The block is initially held in place. Once released, the block accelerates to the right and achieves a final speed of ve at the point when it leaves...
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