Tom has built a large slingshot, but it is not working quite right. He thinks he can model the slingshot like an ideal spring with a spring constant of 35.0 N/m. When he pulls the slingshot back 0.305 m from a nonstretched position, it just does not launch its payload as far as he wants. His physics professor "helps" by telling him to aim for an elastic potential energy of 19.5 J. Tom decides he just needs elastic bands with a higher spring constant. By what factor does Tom need to increase the spring constant to hit his potential energy goal? factor of spring constant increase: During a follow-up conversation, Tom's physics professor suggests that he should leave the slingshot alone and try pulling the slingshot back further without changing the spring constant. How many times further than before must Tom pull the slingshot back to hit the potential energy goal with the original spring constant? factor of pullback distance increase: In which of the two scenarios does Tom have to pull harder? they are equal increased spring constant increased pullback distance

Q: A particle moves in one dimension (along the x-axis), where the potential energy is given by the…

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Q: A child’s toy consists of a m = 33 g monkey suspended from a spring of negligible mass and spring…

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A: Given:Spring constant of the spring = 65 N/mRequired elastic potential energy = 17 JInitial stretch…

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Q: Tom has built a large slingshot, but it is not working quite right. He thinks he can model the…

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Q: The block remains on the track at all times. (b) Calculate d. _____

A: We can use the relation Work done by non conservative force = change in total energy. m = 0.70 kg k…

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Q: A 40.0° 1.50 m B 1.00 m C k = 900 N/m mm hh

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Q: What is x?

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Q: A moving 4.50 kg block collides with a horizontal spring whose spring constant is 447 N/m. ellle The…

A: Given Mass of the block (m) = 4.50 kgSpring constant (k)  = 447 N/m

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Q: An archer pulls back the string on her bow to a distance of 50 cm from its equilibrium. To hold the…

A: Given compressed distance is x= 0.50 m Applied force is F=160 N

Q: A child’s toy consists of a m = 33 g monkey suspended from a spring of negligible mass and spring…

A: Free body diagram- a) From the hook's law, F=kxk=Fx,  (F=mg)  =mgx  =(0.033kg)(9.8m/s2)(0.114 m)…

Q: A block of mass 3.20 kg is placed against a horizontal spring of constant k = 865 N/m and pushed so…

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Q: A block of mass 2.60kg is placed against a horizontal spring of constant k = 795 N/m and pushed so…

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Q: A 45 kg gymnast is bouncing on a trampoline. Model the gymnast as a particle and the trampoline as a…

A: given that,k=15000 NmA=30cm=0.3 mm=45 kgg=9.8ms2

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A: solution as

Q: As shown in the figure, a 4.0-kg block is moving at 5.0 m/s along a horizontal frictionless surface…

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Q: A block of mass 2.60 kg is placed against a horizontal spring of constant k = 815 N/m and pushed so…

A: Given values -  Mass = m = 2.6 kg  Spring constant = k = 815 N/m Compression = x = 0.06 m

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A: Given data: The height of each tower is h=75 m. The distance between towers is d=34 m. The…

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

A: Given that,Mass : m = 3.40 kg   Spring constant :k = 855 (N/m)  Spring compresses : x = 0.0550 m…

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A: Given: Mass of the block = 3.80 Kg Spring constant = 765 N/m compressed distance = 0.0750 m

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Q: A child bounces on a pogo stick, compressing the spring 0.160.16 m with every bounce. If the…

A: compression (d) = 0.16 m Elastic potential energy (E) = 4343 Joules

Q: The elastic energy stored in your tendons can contribute up to 35% of your energy needs when…

A: Spring constant of tendon: k= 33 N/mm=  N/m= 33000 N/mDuring sprint: stretch in tenon: = 45 mm=…

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Q: By what factor does Tom need to increase the spring constant to hit his potential energy goal?

A: elastic potential energy stored in a spring of spring constant k when stretched a distance x is…

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Q: The elastic energy stored in your tendons can contribute up to 35% of your energy needs when…

A: The spring constant, k=33 Nmm×1000 mm1 m=33000 N/m   The stretch of nonathletes, xnona thletes=33…

Q: As shown in the figure, a 1.50 kg box is held at rest against a spring with a force constant k = 725…

A: As per our honor code, we are allowed to answer only three subparts at a time, since it is not…

Q: A horizontal spring attached to a wall has a force constant of k = 830 N/m. A block of mass m = 1.40…

A: mass = 1.4 kg k = 830 N/mxi = 6.6 cm

Q: need help with finding the last part.  A moving 1.70 kg block collides with a horizontal spring…

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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.