A dart is inserted into a spring-loaded dart gun by pushing the spring in by a distance x. For the next loading, the spring is compressed a distance 2x. How much faster does the second dart leave the gun compared with the first? (a) four times as fast (b) two times as fast (c) the same (d) half as fast (e) one-fourth as fast

Q: A 5.00x105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large…

A: Given

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and…

A:

Q: A 2.03 kg ball is pushed against a horizontal spring whose force constant is 1108 N/m, compressing…

A: mass of ball = 2.03 kg k = 1108 Nm x = 0.201 m coefficient of kinetic friction = 0.249d = 1.44 m θ =…

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and…

A:

Q: A block of mass m=1.4 kg is attached to a spring of spring constant k = 140 N/m. The block has been…

A:

Q: As shown in the figure below, a box of massm = 6.40 kg is sliding across a horizontal frictionless…

A:

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: The ball launcher in a pinball machine has a spring that has a force constant of 1.23 N/cm. The…

A:

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

A: Work done by gravitational force will be = mgh Work = 5 x 9.8 x 3 = 147 J  Using Work energy…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: You give a crate of mass m = 1.00 kg an initial speed of vi = 4.00 m/s up an incline of θ = 17°. The…

A:

Q: A bungee jumper with a mass of 77.5 kg is standing on a platform 65.1 m above a lake. The length of…

A: Give: m = 77.5kg h0 = 65.1m L0 = 15.3m K = 155N/m h1 = 47.7m V1 = ?

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: 1.25 m 6) A 20.0-g object is placed against the free end of a spring (with spring constant k) that…

A:

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and…

A: Given that Mass of the box is = m Spring constant is = k Initial spring compressing distance is = x…

Q: Consider a block of mass 0.270 kg attached to a spring of spring constant 160 N/m. The block is…

A:

Q: A 2.28 kg ball is pushed against a horizontal spring whose force constant is 1201 N/m, compressing…

A:

Q: The jumper has a mass of 50 kg, and the bridge's height above the river is 150 m. The rope has an…

A: When we stretch any spring with some external force, the spring is either elongate or squeeze…

Q: he jumper has a mass of 50 kg, and the bridge's height above the river is 150 m. The rope has an…

A: Mass of Jumper m = 50 kg Height of bridge h = 150 m Unstretched length of rope l = 7 m Stretched…

Q: The cable of the 1800 kg elevator cab snaps when the cab is at rest at the first floor, where the…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: A bax slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and…

A:

Q: What is the maximum compression x of the spring?

A: As per the conservation law of energy. Here, E, K, U, m, h, v, k, and x represent the car’s total…

Q: A box slides from rest down a frictionless ramp inclined at 40.0° with respect to the horizontal and…

A: Given- Mass of box m=12 kgspring constant k=4×104 N/mDistance d=3 mInitial velocity vi=0final…

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: Given data: Mass of toy car is, m=0.0505 kg. Velocity is, v1=2.5 m/s. Spring constant is, k=605 N/m.…

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

A:

Q: A 4.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A: Given data:  Mass (m) = 4.50×105 kg Speed (v) = 0.500 m/s Distance (x) = 0.600 m Required: The force…

Q: Mickey, a daredevil mouse of mass  0.0231 kg,  is attempting to become the world's first "mouse…

A: Given, Mass of the mouse m = 0.0231 Kg Spring force constant k = 57. 5 N/m compress distance x =…

Q: If a mass of 0.65 kg is attached to a horizontal spring displaced by 5.5cm, determine the spring…

A: Given Mass is given as m=0.65 kg Displacement of the spring is ∆x=5.5 cm=0.055 m Potential energy…

Q: 2M Two blocks, of masses M = 4.0 kg and 2M, are connected to a spring of spring constant k = 150 N/m…

A:

Q: box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box…

A: Solution: as given K = spring constant of spring X = distance the spring is compressed M = mass box…

Q: A hockey puck sliding along frictionless ice with speed ν to the right collides with a horizontal…

A: Given ,  speed of hockey puck before colliding with spring , u1 =v               speed of hockey…

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

A:

Q: When a spring with stiffness constant   k is compressed or stretched by a distance x the elastic…

A: The potential energy stored in the spring due to the deformation of an elastic object is known as…

Q: The Potential energy stored in a car Shock Absorber which is compressed by 20 cm is 50 J. The Spring…

A: Potential energy stored in a spring is given by: PE = (1/2)*k*x^2 k = spring constant = ? PE = 50 J…

Q: A block of mass 12.0 kg slides from rest down a frictionless 35.0° incline and is stopped by a…

A:

Q: A block of mass 15.0 kg slides from rest down a frictionless 33.0° incline and is stopped by a…

A: mass, m = 15 kg  Angle, A = 33°  k= 4 x 104 N/m distance, d= 3 m

Q: leased. During the launching, the airplane engine exerts a constant horizontal force of 2,000 lbs.…

A:

Q: A 5 kg roller coaster is launched from Location A to reach maximum speed at Location B by the spring…

A: As the velocity of roller coaster at F is 44.3 m/s, the kinetic energy of the roller coaster at this…

Q: A 20 m long spring is attached to the wall When puled horizontaly with a force of 100 N. the spring…

A: The force provided to stretch the spring is F=100 N , which is calculated by using the formula F=kx…

Q: A spring of a spring gun, having constant k- 628 N/m, ia compressed horizontally a distancex-0.05 m…

A:

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: The problem can be solved using the conservation of energy.

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A: The conservation of energy gives, K1+U1=K2+U2 Here, K1 is the initial kinetic energy of the system,…

Q: A box of mass m is pressed against (but is not attached to) an ideal spring of force constant k and…

A:

Q: A toy car of mass m is pushed along a frictionless track so that it is moving at a speed v1. It hits…

A:

Q: What should be the spring constant kk of a spring designed to bring a 1300 kg car to rest from a…

A: It is given that,

Q: A 61-kg trampoline artist jumps upward from the top of a platform with a vertical speed of 4.2 m/s .…

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.