An archer pulls her bowstring back 0.360 m by exerting a force that increases uniformly from zero to 232 N. (a) What is the equivalent spring constant of the bow?N/m(b) How much work does the archer do in pulling the bow?J

Q: A 2.50 kg mass is pushed against a horizontal spring of force constant 25.0 N/cm on a table with a…

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Q: An archer pulls her bowstring back 0.400 m by exerting a force that increases uniformly from zero to…

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Q: An ideal spring hangs from the ceiling. A 2.25 kg mass is hung from the spring, stretching the…

A: The value of the spring constant is,

Q: Suppose the spring is stretched a distance x metres from its equilibrium position. Then suppose the…

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Q: When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: (a) The required force constant of the spring is, Fsping=Fg     kx=mg      k=mgx Thus, the spring…

Q: A spring-loaded pellet gun is designed to fire 3.20 g projectiles horizontally at a speed of 42.8…

A: The given data are: m=3.20 g=3.20×10-3 kgv=42.8 m/sx=8.60 cm=8.60×10-2 m

Q: B. Mass vs Velocity Spring constant, k Spring compression, x 1000 N/m 1 C. Spring constant vs…

A: Given that, B. spring constant, k = 1000 N/m spring compression, x=1 m   C. mass, m=75 kg spring…

Q: A 30-kg child is jumping up and down on the center of a trampoline. The combined spring constant* of…

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Q: An archer pulls her bowstring back 0.300 m by exerting a force that increases uniformly from zero to…

A: The bowstring acts as a spring which provides the necessary force to propel the arrows forward. When…

Q: An ideal spring hangs from the ceiling. A 1.55 kg mass is hung from the spring, stretching the…

A: Solution:At equlllibrium position, we have:mg = kdwhere, m is mass             g is acceleration due…

Q: 3. A 10-kg cart is released from rest with no slack in the cable and with the spring unstrethced.…

A: Formula used:             The equation for the external force on the spring by the cart is:…

Q: All questions please.

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Q: A spring has a force constant of k-1x104 N/m. If the spring is initially unstretched/uncompressed,…

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Q: A weight with a mass of (3.25+(A/10)) kg is hanging at rest on a spring with a spring constant of…

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Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: According to hook's law -  Force is directly proportional to the the displacement -  F=kx Where,  k…

Q: A block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the…

A: Given: Mass of block = 300 g, spring constant of spring = 100 N/m,  the other end of the spring is…

Q: (a) Find the potential energy of a spring with force constant k = 740 N>m if it is stretchedby…

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Q: At an archery event, a woman draws the string of her bow back 0.364 m with a force that increases…

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Q: A mass is attached to an unusual spring-like object, which has a position- dependent restoring force…

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Q: body moves from the initial position x1=150 mm. Q3: The spring is upstretched when x-0. If the 4…

A: k=Spring constant=4 kN/mx2=250 mmx1=150 mmθ=Slope=20°g=Acceleration due to gravity=9.81 m/s2

Q: When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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Q: A spring that is compressed 12.5 cm from its equilibrium position stores 3.42 J of potential energy.…

A: The potential energy stored in a spring=12kx2where k is the spring constantx is length of…

Q: A moving 3.50 kg block collides with a horizontal spring whose spring constant is 241 N/m. elll The…

A: Given information: Here, m is block’s mass, k is spring constant, xmax is the maximum elongation in…

Q: When a 2.10-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: (a)The force on the spring is,F=mg                                               m=2.10kg,g=9.8…

Q: A spring attached to a mass is displaced 30 cm from its equilibrium position, At this point it has…

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Q: What should be the spring constant k of a spring designed to bring a 1400 kg car to rest from a…

A: The spring constant of the spring is denoted by k The mass of the car is m=1400 kg The initial…

Q: When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: a) The required force constant of the spring is,

Q: A block of mass 3.00 kg is placed against a horizontal spring ofconstant k = 875 N/m and pushed so…

A: (a)Write the expression for the elastic potential energy.

Q: When a 2.60-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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Q: When a 2.90-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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Q: A block of mass 3.40 kg is placed against a horizontal spring of constant k = 855 N/m and pushed so…

A: mass, m = 3.4 kg  spring constant, k = 855 N/m  compression, x = 0.065 m

Q: An archer pulls her bowstring back 0.398 m by exerting a force that increases uniformly from zero to…

A: (a) The equivalent spring constant is found by F = kx Solve the above equation for  k k=Fx=231…

Q: An archer pulls her bowstring back 0.300 m by exerting a force that increases uniformly from zero to…

A: Force applied by the archer is F = 240 N Stretch in the string is x = 0.300 m

Q: An archer pulls her bowstring back 0.390 m by exerting a force that increases uniformly from zero to…

A: (a) The  equivalent spring constant of the bow is calculated by using the given formula below.…

Q: An archer pulls her bowstring back 0.370 m by exerting a force that increases uniformly from zero to…

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Q: An archer pulls her bowstring back 0.410 m by exerting a force that increases uniformly from zero to…

A: (a) Write the expression for the spring force, and solve for the spring constant (k) of the bow.

Q: An archer pulls her bowstring back 0.408 m by exerting a force that increases uniformly from zero to…

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Q: A block with a mass m = 2.5 kg is pushed into an ideal spring whose spring constant is k = 4520 N/m.…

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Q: The work required to deflect a typical AFM cantilever by 0.10 nm is1.2 * 10-20 J. (a) What is the…

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Q: When a 2.70-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: According to Hooke's Law, the force experienced due to a stretched spring is given as…

Q: A spring is connected on one end to a wall and the other is free to be compressed.  The spring…

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Q: When a 2.40-kg object is hung vertically on a certain light spring described by Hooke's law, the…

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Q: When a 2.20-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Given: When 2.20 kg hung spring stretches(x) = 2.44cm

Q: Problem 3: A mass m = 2.2 kg is at the end of a horizontal spring of spring constant k = 180 N/m on…

A: mass , m = 2.2 kg spring constant , k = 180 N/m A = 3.5 cm = 3.5 x 10-2 m To find = a) Angular…

Q: When a 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the…

A: Mass , m = 2.3 kg Stretch , x = 2.26 cm = 0.0226 m To find - a) Force constant of the spring…

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.