A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a distance x. For the next loading, the spring is compressed a distance of 2x. How much faster does the second dart leave the gun compared with the first? Explain your answer using the appropriate equations.

Q: Problem 2: You have a spring with a spring constant 3600 N/m. Part (a) If you want to store 135 J of…

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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…

A: (a) when the toy released from the unstretched position, its weight balances by spring force at…

Q: A mass m is released from rest from the top of a frictionless ramp. The mass slides down and…

A: Step 1: Consider the conservation energy of the system Since the ramp is frictionless, there will be…

Q: A slingshot is made by attaching 2 identical 5cm springs to two posts separated by 20cm as shown. A…

A: Potential Energy of a Spring: The potential energy of a spring is given by the formula, U=12k(x-xo)2…

Q: A 10 g bullet is shot into a 500 g block, at rest on a frictionless horizontal surface. The bullet…

A: Given data: The mass of the bullet is m = 10 g. The mass of the block is M = 500 g. The…

Q: OK, once again we have a pendulum, this time of length 1.14 m, which you release from rest at an…

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Q: A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.24 kg . When…

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Q: A jack-in-the-box toy contains a ball and spring mechanism. In the original setting, the ball rests…

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Q: The horizontal surface on which the block (mass m=2 kg) slides is frictionless. The speed of the…

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Q: A 200 g block on a frictionless surface is pushed against a spring with spring constant 500 N/m,…

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Q: A block of mass m held in equilibrium (rest) as shown in the figure. If m= 10 kg, then find the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A child’s toy consists of a m = 31 g monkey suspended from a spring of negligible mass and spring…

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Q: a box of mass  m = 9.20 kg is sliding across a horizontal frictionless surface with an initial speed…

A: According to the law of conservation of energy , energy can neither be created nor destroyed but can…

Q: Problem #2: Assume that the force of a bow on an arrow behaves like the spring force. In aiming the…

A: Given that :F=200 Nx=40 cm  =0.4 mm=50g  =0.05 kg The magnitude of spring force is given by,F=kx…

Q: A block sliding along a frictionless, horizontal surface with a speed of 1.2 m/s collides with a…

A: We have a block which is moving with a velocity v1=1.2 m/s which compresses a spring to a distance…

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: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…

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Q: A 1.7040 kg object is pressed into a spring. The spring constant is 309 N/m. The object is released…

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Q: A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is…

A: According to the conservation of energy, 12kx2=mghkx2=2mghk=2mghx2

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

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

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Q: leave

A: Given: The spring is compressed by a distance of 2x. In the spring dart energy transfer, assuming…

Q: No friction D (H)

A: the spring constant K=1865N/m The block will stop at a distance D=2.4m the initial velocity with…

Q: A 6.00 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 6.00 × 105 kg Initial velocity (v0) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: eSpring Constant?

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Q: A 6.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

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Q: A child’s toy consists of a m = 34 g monkey suspended from a spring of negligible mass and spring…

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Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…

A: GIVEN: Mass of block =4 kg For the spring  Work done =12kx2 where k is spring constant            x…

Q: sA spring with a constant k = 100 N/m is placed after point-C in the frictionless ABC path. A ball…

A: a) From conservation of energy    P.E at point A=K.E at 'B'   m g h=12mvB2   2x9.8x1.8=12x2xVB2…

Q: As shown in the figure below, a box of mass  m = 9.80 kg is sliding across a horizontal frictionless…

A: given data as per question mass of box m = 9.8kg initial velocity v = 3.70m/s

Q: :) A spring with a constant k = 100 N/m is placed after point-C in the frictionless ABC path. A ball…

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Q: Suppose a block of mass 0.9kg is is held against a spring with spring constant 1.0 × 103N/m,…

A: The block of mass m = 0.9kg is held against a spring with spring constant k = 1.0 × 103N/m,…

Q: A large toy car is puahed horizontally by a spring, and the spring has a spring constant of 135 Nm.…

A: Given Data : The compression in the spring is given as x = 0.055 m. The spring constant of the…

Q: A spring with a constant k=100 N/m is placed after point-C in the frictionless ABC path. A ball of…

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Q: A 2.0 kg ball is launched by means of a vertically oriented spring with spring constant k = 16.0…

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Q: A 8 kg box with spring constant of k = 200 N/m compresses a horizontal spring by 2.5 m beyond its…

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Q: A ball is attached to a vertical spring with a spring constant of 6.0 N/m.it is held at the…

A: Spring constant,  Distance,  Acceleration due to gravity,

Q: A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is…

A: Given data The compression in the spring is x = 2 cm = 0.02 m The mass of the toy is m = 115 g =…

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.