A 3.5 kg mass slides from a height of 27 m down a frictionless ramp into a spring. The spring compresses 26 cm. Calculate the spring constant (ans. 2.7 X 10 N/m)

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: Given: The spring constant is 180 kg/s2. The stretching of the spring from 4 cm to 12 c.

Q: During a crash test, a 900-kg car moving at 25 m/s hits an uncompressed horizontal spring with…

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Q: 6. A bullet moves with a velocity of 600 m/s and has gained a kinetic energy of 900 J. Compute its…

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Q: 2A 3.5 kg mass slides from a height of 2.7 m down a frictionless ramp into a spring. The spring…

A: Note:- You have posted multiple questions. As per Bartleby guidelines, I will solve only first…

Q: A 10.0 kg mass sliding on a frictionless horizontal surface at 7.00 m/s hits a spring that is…

A: Given : m = 10.0kg V=7 m/sec k=5000 N/m

Q: The equilibrium length of the spring is 35cm. a force of 70N has been exerted to stretch it to 45cm.…

A: equilibrium length of spring = 35 cm = 0.35 m force applied (F) = 70 N new length (L') = 45 cm =…

Q: A spring with a force constant of 5000 N/m and a rest length of 3.0 m is used in a catapult. When…

A: The total force exerted on the rock can be obtained as F=12kx2=125000N/m3.0m-1.0m2=10000N

Q: A 3.49-kg box placed against a horizontal spring with a force constant ofk= 228.7 N/m compresses the…

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Q: A student pushes the 1.25 kg block in the figure below against a horizontal spring, compressing it…

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Q: 0 A cannon shoots a 5 kg cannonball out of its barrel with a speed of 65 m/s. If the cannonball…

A: Given Data:- First Problem:- Mass of the cannonball is m=5 kg Length of the barrel of the cannonball…

Q: A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m.…

A: Spring constant K = 135  N/m  Let the mass of the toy car be m  Compression in spring is Xi = 0.055…

Q: Robert weighs 650N and is sliding down a frictionless 15 m tall hill. He starts at the top with a…

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Q: A43 kg student jumps on a pogo stick with spring constant 3.7 k compresses the stick's spring by 37…

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Q: In a physics lab experiment, a compressed spring launches a 40 g metal ball at a 35 ° angle.…

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Q: A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow…

A: Given  Mass of arrow m = 120 g = 0.12 kg Spring constant = 430 N/m Length to which now is drawn x =…

Q: A 26100 kg train is reaching the end of the line. In order to slow down, the front of the train…

A: Given Information:Mass of train m = 26100 kgVelocity of the train v = 62.5 m/sStiffness of the…

Q: The world record for pole vaulting is 6.15 m. If the pole vaulter’s gravitational potential is 4942…

A: Given Potential energy= 4942 J Height = 6.15 m We have to calculate the mass

Q: A force of 3 N is applied to a spring. The spring is not stretched beyond the limit of…

A: Given Force F = 3 N Increase in length x = 15 cm =0.15 m

Q: A block of mass 0.260 kg is placed on top of a light, vertical spring of force constant 4 875 N/m…

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Q: What is the gravitational potential energy of a 4.0 kg block that is raised 2.50 m from the ground?…

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Q: A spring has a spring stiffness constant k=1.5 N/m, how much must this spring be stretched to store…

A: The potential energy stored in the spring is:

Q: In a physics lab experiment, a spring clamped to the table shoots a 22 g ball horizontally. When the…

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Q: The spring return constant of a spring is 2000 N/m.  How much will it crash in metres if a 100 kg…

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Q: The energy represent the product of one -half the mass of the body and the .square of its velocity…

A: (1) False , The product of half the mass of body and square of it's velocity is known as kinetic…

Q: If the spring constant is 160 N/m and if the spring is compressed 0.13 m, determine the height to…

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Q: The gravitational potential energy stored in a box of weight 150 kgf is 1.5* 104 J. Find the height…

A: Write the given values with the suitable variables. W=150 kgf=150×10 NP=1.5×104 J Here, W is the…

Q: When the spring has been stretched a distance (x), the force required to hold it in this position…

A: According to question we need to find that the given statement is true or false .

Q: A 3.0 kg brick rests on a perfectly smooth ramp inclined at 34° above the horizontal. The brick is…

A: Required  net elongation in spring

Q: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: It takes 1700 J of work to stretch a spring from its natural length of 1 m to a length of 5 m. Find…

A: Work done = 1700 J natural length = 1 m final length = 5 m

Q: 9) A spring shoots a plastic box with a launch speed of 2.0 m/s. If the spring is replaced with a…

A: Initial velocity of the mass is u = 2 m/s

Q: A marble with a mass of 0.085 kg compresses a spring 5.1 cm. If the spring has a constant k = 150…

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Q: A spring-loaded dart gun shoots straight up. The spring has a sprint constant of 1,000 N/m. If the…

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Q: a spring gun with a spring constant of 9800 N/m is compressed 10cm from its natural length and then…

A: The potential energy initially stored in the compressed spring is given by, U=12kx2 Here, k is the…

Q: A 36-kg girl rides on the seat of a swing attached to two chains that are each 20 m long. If she is…

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Q: A particle of mass 2.3 kg moves under the influence of a force: F(x)=(−5x2+7x) N If its speed…

A: potential energy = - ∫f.dx = -∫(-5x2 +7x)dx = - (-5x3/3 + 7x2/2) = (5/3)(x3) - 3.5 x2 total energy…

Q: A spring has a force constant of 12.0 N/m and a rest length of 0.10 m. 0.375 J of energy are used to…

A: Work done on the spring mass system is equal to the change in elastic potential energy in the…

Q: Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.0m/s.. (a) How high…

A: Initial speed of the tarzan, v = 9.0 ms

Q: What is the speed of the particle when it reaches x = 24.00 m.

A: The particle starts at x = 4 m. The mass of the particle is m = 4 kg. The initial velocity of the…

Q: The thrust produced by a single jet engine generates a force of F = 96000 N. Which requires the jet…

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Q: 11. A car has a speed of 90 km/h and a mass of 7 000 kg. What is its kinetic energy? 90 km/h = 25.0…

A: 11)  Kinetic energy KE =(1/2)mv2 Given, Mass of car,  m = 7000 kg Speed,  v = 90 km/hr = 25 m/s…

Q: Pushing on the pump of a soap dispenser compresses a smallspring. When the spring is compressed 0.50…

A: Compressed length, y = 0.5 cm  Energy, U = 0.0025 J  (a)Let the force constant is K. The energy is…

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.