"You attach a cart with a mass of 0.92 kg to a spring and compress the cart-spring system. The spring constant for the spring is 130 N/m. Your objective is to propel the cart with a velocity of 1.4 m/s along a frictionless surface. How far do you need to compress the spring in order to meet your target velocity?"

Q: A block of mass m = 3.25 kg slides along a horizontal table with speed up = 7.50 m/s. At x = 0, it…

A: Given data:The mass of the block is The initial speed of the mass The spring constant The…

Q: A block of mass 0.25kg is placed on top of a light, vertical spring of force constant 5800 N/m and…

A:

Q: A toy rocket is launched straight up by using a spring. The rocket is initially pressed down on the…

A: Given data:  The spring compressed by length (x) = 9 cm = 0.09 m Spring constant (k) = 1070 N/m Mass…

Q: Question 6: A block of mass 0.65 kg is pushed against a horizontal spring of negligible mass until…

A:

Q: A toy gun uses a spring to project a 5.4-g soft rubber sphere horizontally. The spring constant is…

A: Mass of the projectile,

Q: A spring with a constant of 300 N/m is stretched 1.5 m. What is the force in the spring? 100 N 50 N…

A: Given :      Spring constant, k = 300 N/m      Stretched distance, x = 1.5 m

Q: A 7.50 kg block is glued to the top of a vertical spring of spring constant 245 N/m. A rope is then…

A: Given : A 7.5 kg block is glued to the top of a vertical spring of spring constant 245 N/m. A rope…

Q: A spring-loaded gun fires a 0.090-kg puck along a tabletop. The puck slides up a curved ramp and…

A:

Q: A 191 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 3.5 N/cm.…

A: here, mass of the block(m) = 191 g =0.191 Kg spring constant( k)= 3.5 N/cm = 3.5 * 102 N/m…

Q: A vertical spring with elastic constant 95 N/m is compressed by 25 cm, and an object of mass 350 g…

A:

Q: A 5.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large…

A: The kinetic energy of the train can be obtained as KE=12mv2=125.50×105kg0.500m/s2=68750J

Q: A weight of 40N is placed on a horizontal plane touching one end of a horizontal spring whose other…

A: Given spring constant k= 5N/mm=5000N/m Weight of block =40N this gives mass m of block =4.08kg ~4 kg…

Q: A 3.80 kg block starts from rest and slides down a frictionless incline, dropping a vertical…

A: Given, Mass of block, M=3.8 kg Distance dropped, h=3.5m Spring constant, k=2.24 x 104 N/m

Q: A spring that has a force constant of 1050 N/m is mounted vertically on the ground. A block of mass…

A: Given that:- Spring constant=K=1050N

Q: A toy cannon uses a spring to project a 5.28-g soft rubber ball. The spring is originally compressed…

A: m=0.00528kgK=8.03N/mX=15.9cm=0.159mf=0.0319Npart BThe speed of the will be maximum at that point…

Q: A 2.0 kg block is pushed against a horizontal spring compressing the spring by 15 cm.  When the…

A:

Q: A box of mass m=12.0 kg is located at the top of a ramp of height h=8.00 m, as shown in the figure.…

A: Given mass of the object is m = 12 kg; Initial height of the object h = 8 m; coefficient of the…

Q: A 3.0 kg block falling from a height of 7.0 m landed on a vertical spring whose force constant is 2…

A: Given in question:  Mass of block (M) = 3.0 kg                                  Height of block (H)…

Q: Thanks!!

A: Basic Details According to the conservation of energy, the energy of the spring would be converted…

Q: A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal…

A: Given,Mass of the block, m = 3.53 kgspring is compresed by the length, x = 5.00 cmequilibrium…

Q: A toy gun uses a spring to project a 4.8-g soft rubber sphere horizontally. The spring constant is…

A: Mass of the projectile,

Q: A large toy car is pushed horizontally by a spring, and the spring has a spring constant of 135 N/m.…

A: Spring constant K = 135  N/m  Let the mass of the toy car be m  Compression in spring is Xi = 0.055…

Q: A block of mass m - 2.65 kg slides along a horizontal table with speed = 9.00 m/s. At x = 0, it hits…

A:

Q: A 14.1 kg pumpkin is placed on a vertical spring of negligible mass and force constant k = 2100 N/m…

A: The maximum height 0.73 m

Q: A block of mass ?=3.53 kgm=3.53 kg is attached to a spring, which is resting on a horizontal…

A: The work done(W) done by a spring force(F) in pushing the block can be given as, W = 12K[(xi)2 -…

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 mass m = 16 kg rests on a frictionless table and accelerated by a spring with spring constant k =…

A:

Q: A) A1.2 kg block slides down a frictionless incline with a slope angle of 42°, starting from a…

A: Calculate the potential energy, PE, of the block at height h from the incline's bottom. PE=mgh=1.2…

Q: A student with mass m=60kg is bungee jumping. What would be a proper length of a rope if the student…

A: Some portion of the potential energy stored in the 60kg mass is first converted into kinetic energy…

Q: A toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed…

A: Given that, m =5.35 g =5.35 x 10-3 kg x =4.96 cm =0.05 m k =8.02 N/m d =15.8 cm =0.16 m fk =0.0319 N

Q: A simple pendulum, 1.00m in length, is released from rest when the support string is at an angle of…

A: Given: The length of the pendulum is 1 m. The angle of the pendulum with vertical is 20o. The…

Q: A spring that has a force constant of 1150 N/m is mounted vertically on the ground. A block of mass…

A: Given data-               spring constant (K) = 1150 N/m               block mass (m) = 1.35 Kg…

Q: A block of mass m = 2.25 kg slides along a horizontal ww table with speed vo = 10.00 m/s. At x = 0,…

A: The mass of the block is m = 2.25 kg. The speed with which the block slides along a horizontal table…

Q: An ideal spring is used to fire a 25.0 g pellet horizontally. The spring has a spring constant of k…

A: Step 1:Step 2:Step 3:  Hope this helps!

Q: When a 6.50 kg load is hanging from the free end of a 29.0 cm long spring, the spring extends to a…

A:

Q: A block of mass 2.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a…

A: Given, mass of the block, m=2.2 Kg spring constant, K=435 N/m the angle of the ramp, θ=24° distance…

Q: A toy gun uses a spring to project a 5.5-g soft rubber sphere horizontally. The spring constant is…

A: Elastic potential energy of the spring is

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.