The work done by the spring's restoring force on the free end of a spring while...
The work done by the spring's restoring force on the free end of a spring while it is compressed (by a person) from its relaxed configuration to a certain final configuration is given by
1.The spring force times the distance the spring is compressed at its final configuration.
2.The spring's elastic energy in the initial configuration.
3.The opposite of the spring's elastic energy in the final configuration.
4.The spring's elastic energy in the final configuration.
5.The opposite of the spring's elastic energy in the initial configuration.
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The work done by the spring's restoring force
on the free end of a spring while...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring constant; and s is the stretch. The negative sign means the spring's restoring force is opposite the stretch direction. You have a plot from weight IN] versus stretch [m). The data forms a linear trend y 3.662x+1,67. How much will the spring stretch if 51.7 grams is hung on the spring? Answer in centimeters with three significant figures or N/A if not enough information...
solve and show work A block of mass m = 1.91 kg attached to a horizontal...
solve and show work
A block of mass m = 1.91 kg attached to a horizontal spring with force constant k = 6.85 x 10' N/m that is secured to a wall is stretched a distance of 5.20 cm beyond the spring's relaxed position and released from rest. (a) What is the elastic potential energy of the block-spring system just before the block is released? 3 (b) What is the elastic potential energy of the block-spring system when the block...
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...
Engineers have invented a new kind of spring whose restoring force is proportional to the third power of displacement
Engineers have invented a new kind of spring whose restoring force is proportional to the third power of displacement: |F(x)| = |βx3| where B = (1/9) N/m3. One end of this spring is fixed to the bottom of an inclined plane which makes an angle θ = 36.87° with respect to the horizontal, and the other end is stretched up the incline and attached to a block of mass m = 3.00 kg. The spring is initially stretched a distance...
a. Work of 2 Joules is done in stretching a spring from its natural length to...
a. Work of 2 Joules is done in stretching a spring from its natural length to 15 cm beyond its natural length. What is the spring constant k > 0? Don't forget to enter the correct units b. If the spring is stretched to the same distance (15 cm), what is the restoring force that pulls the spring back toward its equilibrium position? Restoring force- Don't forget to enter the correct units.
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax-...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
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 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...
When a certain spring is stretched a distance I, it exerts a restoring force of magnitude...
When a certain spring is stretched a distance I, it exerts a restoring force of magnitude F = 2x N, where r is measured from the point of equilibrium. The potential energy stored in the spring when it is stretched.5 m from equilibrium is: (a).15 J (b).37J (c) 25 J (2).5 J (e) none of these For a block with a mass of 2 Kg to slide 2 m up an incline of 30° without friction, it must have a...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring constant; and s is the stretch. The negative sign means the spring's restoring force is opposite the stretch direction. You have a plot from weight IN] versus stretch [m). The data forms a linear trend y 3.662x+1,67. How much will the spring stretch if 51.7 grams is hung on the spring? Answer in centimeters with three significant figures or N/A if not enough information...
solve and show work
A block of mass m = 1.91 kg attached to a horizontal spring with force constant k = 6.85 x 10' N/m that is secured to a wall is stretched a distance of 5.20 cm beyond the spring's relaxed position and released from rest. (a) What is the elastic potential energy of the block-spring system just before the block is released? 3 (b) What is the elastic potential energy of the block-spring system when the block...
a. Work of 2 Joules is done in stretching a spring from its natural length to 15 cm beyond its natural length. What is the spring constant k > 0? Don't forget to enter the correct units b. If the spring is stretched to the same distance (15 cm), what is the restoring force that pulls the spring back toward its equilibrium position? Restoring force- Don't forget to enter the correct units.
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
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...
When a certain spring is stretched a distance I, it exerts a restoring force of magnitude F = 2x N, where r is measured from the point of equilibrium. The potential energy stored in the spring when it is stretched.5 m from equilibrium is: (a).15 J (b).37J (c) 25 J (2).5 J (e) none of these For a block with a mass of 2 Kg to slide 2 m up an incline of 30° without friction, it must have a...
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