A 500-kg cannon and a supply of 30 cannon balls, each with a mass of 24.5 kg, are inside a sealed railroad car with a mass of 43000 kg and a length of 73 m. The cannon fire to the right; the car recoils to the left. The cannon balls remain in the car after hitting the wall. After all the cannon balls have been fired, what is the greatest distance the car can have moved from its original position? A spring of negligible mass is compressed between two masses on a frictionless table with sloping ramps at each end.

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 300 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 3.0 N/cm…

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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: 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: Near the middle of the term, Avi and Cameron are taking their laboratory exam. The instructor has…

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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: object of mass 357 g is suspended from a spring with a spring constant of 200 N/m, the extension of…

A: F= kx

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: When a 59 kg cheerleader stands on a vertical spring, the spring compresses by 5.8 cm. when a second…

A: Calculate the spring constant. F=kxk=Fx=mgx=59 kg9.8 m/s20.058 m =9969 N/m

Q: Two objects, X and Y, are held at rest on a horizontal frictionless surface and a spring is…

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Q: A dart is loaded into a spring-loaded toy dart gun by pushing the spring in by a distance x. For the…

A: Consider the first loading of the system. The potential energy of the system when the spring is…

Q: A 500-g block is released from rest and slides down a frictionless track that begins 2.50 m above…

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Q: A 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a…

A: Given: The mass of the object is 1.3 kg. The spring constant is 520 N/m. The compression in the…

Q: An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal…

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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: There is a block, call is mass 1 of 1.2kg. It is being compressed 75 mm into a spring with a k value…

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Q: A spring-loaded dart gun is used to shoot a dart straight up into the air. When fully compressed,…

A: Solution

Q: A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on asmooth surface frictionless…

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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 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: The bumper cars at the state fair have identical 1.0-m-long horizontal springs protruding from the…

A: The total kinetic energy is equal to the maximum potential energy. Apply the energy conservation…

Q: A vertical spring with a spring constant of 490 N/m is mounted on the floor. From directly above the…

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Q: You are showing your nieces how to make paper party decorations using paper springs. One niece makes…

A: Given The length upto which spring is stretched is x=8 cm=8×10-2 m=0.08 m. The frequency of the…

Q: 8. DETAILS (a) With what speed does the projectile leave the barrel of the cannon? 1.34 ✓ m/s A toy…

A: To solve this problem, we can use conservation of energy to find the initial speed of the ball and…

Q: A block of mass 100 g, resting on a frictionless surface, is pushed up against a spring compressing…

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Q: A  2.3 kg mass  is attached to a horizontal spring of constant k = 578 N/m and pushed so that the…

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

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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: A block of mass 1.7 kg is attached to a horizontal spring that has a force constant 1100 N/m as…

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Q: A 40.0 g bullet is fired at 100.0 m/s and embeds in a wooden block on asmooth surface frictionless…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

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 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

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

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: I Review I Constants Block A in (Figure 1) has mass 1.00 kg, and block B has mass 3.00 kg. The…

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Q: Question 1  A cigarettes dispenser requires a coin with a mass of 9.5 g to dispense one cigarette…

A: The Cigarette dispenser along with the coin constitutes a Helical Spring-Mass system. It contains a…

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.