The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in the figure below. If its spring is compressed a distance of 0.080 m and the gun fired vertically as shown, the gun can launch a 20.0 g projectile to a maximum height of 20.0 m above the starting point of the projectile. (a) Neglecting all resistive forces, determine the spring constant. N/m (b) Neglecting all resistive forces, determine the speed of the projectile as it moves through the equilibrium position of the spring (where x = 0), as shown in figure (b). m/s

Q: 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: a. The acceleration of the spring before coming to the rest is v2-u2=2axa=v2-u22x=02-1.8 m/s220.067…

Q: You are asked to design spring bumpers for the walls of a parking garage. A freely rolling 1200-kg…

A: We are aware that the automobile weighs 1200 kg, travels at a speed of 0.65 m/s, and must only…

Q: Iace with d speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m)…

A: Mass "m" = 2.6 kg . initial velocity "u" = 1.8m/s .

Q: A 3.20-kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: Given value--- mass = 3.20 kg. Speed = 1.8 m/s. We have to find--- (a) Determine the force…

Q: The launching mechanism of a toy gun consists of a spring of unknown spring constant, as shown in…

A: Given: The compression of the spring is 0.180 m. The mass of the projectile is 19.0 g. The height of…

Q: A small steel ball bearing with a mass of 12.0 g is on a short compressed spring. When aimed…

A: Write the expression for maximum height reached by the projectile

Q: In designing a spring loaded cannon, determine the spring constant required to launch a 1.0 kg ball…

A: Given data: Displacement of the ball x=5 cm =0.05m Mass of the ball m=1.0 kg Initial speed v=1.2 m/s

Q: An elevator car of mass 775 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

A: Given data: The mass of elevator car is m=775 kg. The distance traveled is h=2.80 m. The…

Q: A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the…

A:

Q: A vertical spring with a spring constant of 360 N/m is mounted on the floor. From directly above the…

A: Spring constant (k) = 360 N/m Mass of block (m) = 0.30 kg Compression in the spring (y) = 3 cm =…

Q: A 2.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: a) Initial KE of box = m v^2 / 2            = (2×(1.8)^2 )/ 2  = 3.24 J Potential energy = (kx^2)/2…

Q: An elevator car of mass 815 kg falls from rest 2.70 m, hits a buffer spring, and then travels an…

A:

Q: A) A 1.2 kg block slides down a frictionless incline with a slope angle of 42°, starting from a…

A:

Q: force constant

A:

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

A:

Q: In a needle biopsy, a narrow strip of tissue is extracted from a patient with a hollow needle.…

A:

Q: An air track glider of mass 0.100 kg is attached to the end of a horizontal air track by a spring…

A: (a) With no friction Apply principle of conservation of mechanical energy…

Q: In a needle biopsy, a narrow strip of tissue is extracted from a patient with a hollow needle.…

A:

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

A: mass , m = 6 kg Initial speed , Vi = 3.2 m/s Spring constant , k = 2800 N/m To find = Spring…

Q: A spring project uses a plastic ball. (a) With what speed does the projectile leave the barrel of…

A: a). The speed of the cannon is 67.92 m/s2 b). The point at which the ball has maximum speed is…

Q: You place the spring vertically with one end on the floor. You then lay a 1.60 kg book on top of the…

A:

Q: A vertical spring (ignore its mass), whose spring constant is 950 N/m, is attached to a table and is…

A: Given ,          mass of the ball , m=0.380 kg         spring constant , k=950 Nm…

Q: An object of mass 1.25 kg at the bottom of a ramp is given an initial speed of 4.45 m/s up the 30.0°…

A: m=1.25 kgθ=300K=Spring ConstantV1=Initial Velocity=4.45 m/sV2=Final Velocity =0μ=0.250s1=1+0.350…

Q: A 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it…

A: As per the given data, Let the mass of the box (m) = 2.8 kg; Let the initial speed of the box (u) =…

Q: A 306 g mass slides down a curved incline then collides with a spring. The spring constant of the…

A: Mass (m) = 306 g   = 0.306 kg   Spring constant (k) = 156 N/m  Compression of spring (d) = 0.63 cm…

Q: A box slides from rest down a frictionless ramp inclined at 38.0° with respect to the horizontal and…

A:

Q: An elevator car of mass 805 kg falls from rest 3.30 m, hits a buffer spring, and then travels an…

A: The mass of elevator car is m=805 kg.The distance traveled is h=3.30 m.The compression in the spring…

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.