A spring was fired from a spring pistol, the mass of which is 5 g. Spring stiffness k = 1.25 kN/m. The spring was compressed by 8cm. Determine the speed of the bullet when it takes off the gun.

Q: When you hang a 100 g mass from a spring, the spring stretches 2 cm. If you remove the 100 g mass…

A: Hooke's law dictates the relationship between the force applied on a spring and the distance the…

Q: A 2.00 kg aluminum block and a 6.00 kg copper block are connected by a light string over a…

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Q: A 4.020-gram bullet is projected horizontally to a block of timber that rest on a horizontal floor.…

A: Given: The mass of the bullet is 4.020 g. The maximum displacement is 0.05 m. The spring constant is…

Q: A 18 kg object hangs from a vertical spring of stiffness 1250 N/m. How far will the spring stretch…

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Q: Kevin is performing an experiment, he places a 1.20 kg apple on a vertical spring and the spring is…

A: Given :  m = 1.20 kg x = 15 cm = 0.15 m k = 1800 N/m

Q: t takes a force of 19 N to compress the spring of a toy popgun 0.375 m to load a 0.6 -kg ball. With…

A: Given, Spring Force, F=19N Mass of ball, m=0.6kg Distance of compression, x=0.375m

Q: As seen in Fig. 1, a 5.00 kg mass starts from rest at the top of a frictionless incline at heighty0=…

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Q: The block in the figure below rests on a frictionless surface. Find its instantaneous acceleration…

A: Compression in left spring = 4.42cm Stretching in right spring = 11.5cm Mass of box= 2kg

Q: A spider of mass 0.37 gram waits in its web of negligible mass. A slight movement causes the web to…

A: Given Mass of the spider is m=0.37g=0.37×10-3 kg Frequency of vibration is given as f=19 Hz   We…

Q: A string on a tennis racket is under the tension of 25 N. If its diameter is 3.3 mm, by how much is…

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Q: A wooden block of mass M, attached to a massless spring with spring constant k, rests on its…

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Q: A cable is 10.0 m long and has a diameter of 2.00 mm. A force of 45.0 N is applied to the end of the…

A: Length of Cable L=10 m Diameter of the cable d=2.00mm=2*10-3m Force applied to the End of the cable…

Q: A 1300-kg car rolling on a horizontal surface has speed v = 45 km/h when it strikes a horizontal…

A: Using conservation of energy,

Q: A 4.020-gram bullet is projected horizontally to a block of timber that rest on a horizontal floor.…

A: Mass of bullet: m = 4.020 g = 4.020 x 10-3 kg Maximum displacement of the block: x = 0.0035 m Spring…

Q: A 4.020-gram bullet is projected horizontally to a block of timber that rest on a horizontal floor.…

A: The maximum displacement of the block is when the kinetic energy of bullet was completely…

Q: A spring with a spring constant of k = 1.00 x 10°N/m is suspended vertically such that it is in its…

A: The spring force when the spring is stretched must be equal in magnitude to the weight of the mass.…

Q: An ideal spring with spring constant 355 N/m is compressed from its unstrained position by a force…

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Q: Problem 10: A block of mass m = 0.22 kg is set against a spring with a spring constant of k = 513…

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Q: 2. An experimenter has collected data of an elastic system and wants to determine whether the data…

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Q: A 3 kg block is placed on frictionless horizontal surface next to a spring (sticking out…

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Q: If another block B, having a mass mB, is pressed against A so that the spring deforms a distance d,…

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Q: 9) A 1300 kg car moving on a horizontal surface has speed v= 77 mile/h when it strikes a horizontal…

A: The spring stiffness constant of the spring (k) is 1.41 × 105 N/m

Q: In reality, the product r*v remains fixed when the string is pulled in.  That means that v increases…

A: Assume that that the product of the radius r and velocity v remains constant when the string is…

Q: A steel shotgun with a mass of 3 kg hits a large wall at an angle of 60 ° with the wall at 10 m / s…

A: Given that, Mass of steel shotgun = 3 kg Angle = 600 Initial speed = 10 m/s Contact time with the…

Q: A certain spring stretches 6 cm when a load of 30 N is suspended from it. How much will the spring…

A: Initial stretch in spring = 6 cm  Initial load applied to spring = 30 N  Finally, load applied to…

Q: What will be the period of oscillation (in seconds) of a mass-spring system whose spring has an…

A: (given)         Mass (m) of a spring = 3089.3 g = 3.0893 kg Elastic spring constant (k) = 139.8 N/m…

Q: Which among the metals below is the most elastic? Rank them from least to most elastic. Why is steel…

A: Tungsten is most elastic metal in the given table.    Ranking in increasing order of elasticity:…

Q: While playing with one of Dr. D’s latest devices Perry takes the device that has a mass of 1.75kg…

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Q: A hanging wire made of an alloy of titanium with diameter 0.05 cm is initially 2.1 m long. When a 13…

A: Given:Length of the wire = 2.1 mDiameter of the wire = 0.05 cmMass hung from the wire = 13 kgStretch…

Q: A wire is stretched 3 mm by force of 150 N. Assuming the elastic limit is not exceeded, the force…

A: Given data: Stretch in wire (x) = 3 mm Force (F) = 150 N New stretch (x1) = 5 mm Required: New force…

Q: 2. A toy cork gun contains a spring whose spring constant is 10.0 N/m. The spring is compressed 5 cm…

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Q: A 12.0-g bullet is fired horizontally into a 107-g wooden block that is initially at rest on a…

A: according to the conservation of mechanical energy to block embedded bullet,…

Q: Over the elastic range, the deformation of a spring is directly proportional to   a. the spring…

A: According to hooks law, Here F is the applied force. The force applied on the spring is directly…

Q: In your job in a police lab, you must design an apparatus to measure the muzzle velocities of…

A: Given,  mass of target, mB = 2 kg mass of bullet, mb velocity of combined mass of target ad bullet,…

Q: 11. A hanging spring has length of 10 cm. A 100 g mass is hung from the spring, Stretching.…

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Q: Hooke’s Law Hooke’s Law states that the force needed tokeep a spring stretched x units beyond its…

A: Consider a spring-mass system as shown:   Let F be the force required to keep the spring stretched x…

Q: A spring stretches by 2 cm when a load of 20 N is suspended from it. What load should be suspended…

A: Write the expression of spring force in terms of spring constant and stretch in spring. F=kx

Q: A bullet weighing 10 g at a speed of 300 m / s flew out of the barrel of an automatic pistol. The…

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Q: 3.1. A spring hanging vertically has a length of 7.25 cm when loaded with a mass of 50 g and 8.50 cm…

A: Given: The spring has a length of 7.25 cm when loaded with a mass of 50 g. The spring has a length…

Q: You hang a heavy ball with a mass of 14 kg from a gold wire 2.5 m long that is 2 mm in diameter. You…

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Q: A 1300-kg car moving on a horizontal surface has speed v = 65 km/h when it strikes a horizontal…

A: Given the initial speed u=65 km/h. In m/s the speed is 18.0556 m/s. Apply the kinematics formula to…

Q: Your solution is to attach a 2.00 kgkg wood block that rests on a horizontal surface to a light…

A: (given) Mass of wooden block = 2 kg Coefficient of kinetic friction between the block and the…

Q: 32)A spring stretches by 2cm when a load of 20N is suspended from it. What load should be suspended…

A: Data Given ,   load in 1st case ( F1 ) = 20 N strech in 1st case ( x1 ) = 2 cm   stretch in 2nd case…

Q: 6. A spring with negligible mass has a relaxed length of 0.4 m. A mass of 2.5 kg is attached to one…

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Q: 2) A block of mass 0.07 kg is attached to the end of a vertical spring whose relaxed length is 0.23…

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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.