You and a friend get jobs at a warehouse where you must carry boxes, each having a mass of 2.5 kg, up to a second floor that is a little less than 4 m above the ground floor. You find a large spring having a spring constant of 550 N/m and you realize that you could use this spring to shoot the boxes up to the floor above. You position the spring vertically on the ground floor in an open area of the stairwell. You then place a box on top of the spring and compress the spring downward. When you release the spring, the box shoots straight upwards a distance of 4 m, where your friend can reach out and grab it. By what distance must the spring be compressed for this scheme to work?

Q: A block of mass m = 5 kg is attached to a spring with spring constant  k= 400 n/m . The spring, with…

A:

Q: a gun has a spring with a spring of spring constant k = 16 N/m which is used to fire a bolt of mass…

A: spring constant,  speed of bolt, compression of spring, weight of the bolt is is the mass of the…

Q: In a physics lab experiment, a compressed spring launches a 35 g metal ball at a 35 ∘ angle.…

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: 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: What is the average power exerted by the spring as it returns to its original length?

A:

Q: A toy cannon uses a spring to project a 5.28 -g soft rubber ball. The spr a force constant of 8.04…

A:

Q: A 250 gram block is dropped from rest at a height of 1.2m onto a relaxed vertical spring that has a…

A: In this question since no energy is lost and all the potential energy of the block is converted into…

Q: In a physics lab experiment, a spring clamped to the table shoots a 22 g ball horizontally. 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: IM A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The…

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Q: A block of mass 0.610 kg is pushed against a horizontal spring of negligible mass until the spring…

A: Given data, mass of the block, m = 0.610 kg force constant, K =  450 N/m radius of the track, R = 1…

Q: he block shown lies on a horizontal frictionless surface, and the spring constant is 70 N/m.…

A: To determine,The position(x) of the block in meters.given,spring constant(k) =70 N/mmagnitude of…

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: 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: Given:mass of the crate, m = 1.00 kginitial velocity, vi = 4.00 m/sinclination angle. θ = 17ospring…

Q: The spring in a retractable ballpoint pen is 1.8 cm long, with a 260 N/m spring constant. When the…

A: Given data K=260 N/mxi=1 mmxf=6 mm

Q: a physics lab experiment, a spring clamped to the table shoots a 22 g ball horizontally. When the…

A: Mass of the ball m=22g=0.022kgCompressed length of the spring x=18cm=0.18mHorizontal distance…

Q: You have been hired to design a spring-launched roller coaster that will carry two passengers per…

A: Here is your solution:

Q: A toy gun uses a spring to project a 6.0-g soft rubber sphere horizontally. The spring constant is…

A: Given:The mass of the sphere is 6 g. The spring constant is 8 N/m. The total length of the barrel is…

Q: A 6kg box slides across a horizontal frictionless surface at 3m/s. If the box runs into a spring…

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

A:

Q: A 40.0-gram rock is attached to a horizontal spring with a force constant of 11.0 N/m. The spring is…

A: Given: The mass of the rock is 40 g. The spring constant is 11 N/m. The amplitude of the system is…

Q: It's your birthday, and you decide to celebrate by bungee-jumping. You stand on a bridge 100 m above…

A:

Q: A ball with mass of 300 g is held on top of a vertical spring that has been compressed by 10 cm. The…

A:

Q: A small anvil of mass, m= 10 kg is dropped from rest from a height H= 7.0 m above the top of a…

A: Given A small anvil of mass (m)           = 10 kg The height it from dropped (H) = 7.0 m The spring…

Q: A spring-loaded toy gun projects a 6.0 g nerf pellet horizontally. The spring constant is 8.5 N/m,…

A: Given data: The mass m=6 g The spring x=6.5 cm=6.5×10-2 m The barrel of the gun is 17 cm The spring…

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

Q: A 2.90 kg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Apply Newton’s second law at the vertical motion of the block, then

Q: A 6 kg rock is held against a vertical spring which has a spring constant of 200 N/m.  The spring is…

A: Here, 12kx2=mgh

Q: You are in a zombie-themed paintball shooting range, armed with a spring-loaded paintball gun. The…

A: initially stored elastic potential energy = (1/2)k(x)2 E = (1/2)(86000)(0.015)2 E = 9.675 Joules…

Q: A stone of mass 80 g is dropped onto an unstrained vertical spring with a spring constant k = 0.8…

A:

Q: k is the spring constant of the spring. x is the distance the spring is compressed. M is the mass of…

A: Spring mass system........

Q: A slingshot, which can be modeled as a spring with spring constant k = 56.4 N/m, is stretched by 16…

A:

Q: A toy gun uses a spring to project a 6.2-g soft rubber sphere horizontally. The spring constant is…

A:

Q: A spring gun has a spring constant of 50 N/m and is compressed by 5 cm. It is used to launch a ball…

A: Given Data: The spring constant is: k=50 N/m The compressed distance is: d=5 cm=0.05 m The mass of…

Q: As a 1.4×104 kg jet plane lands on an aircraft carrier, its tail hook snags a cable to slow it down.…

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: You have been hired to design a spring-launched roller coaster that will carry two passengers per…

A:

Q: You have been hired to design a spring-launched roller coaster that will carry two passengers per…

A: We are given the maximum compression in the spring. We are also given the height it has reached.…

Q: A 250 gram block is dropped from rest at a height of 1.2m onto a relaxed vertical spring that has a…

A:

Q: A spring-loaded toy gun is used to launch a 10 g plastic ball.  The spring, which has a spring…

A: Given data:  Mass (m) = 10 g = 0.010 kg Spring constant (k) = 10 N/m Comparison in spring (x) = 10…

Q: A toy cannon uses a spring to project a 5.33-g soft rubber ball. The spring is originally compressed…

A: m = 5.33g x(t) = distance travelled by the ball at time t s = 5.05cm , initial compression of the…

Q: H4. An m=60 kg diver jumps off a diving board h=3 m above the water that acts like an ideal spring…

A:

Q: A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant…

A: We know,

Q: A spring of spring constant k = 822 N/m is suspended vertically from a ceiling. You attach a 46.0 kg…

A: From conservation of energy, mgh=12kh2h=2mgk  =2469.8822   =1.097 m

Q: The desperate contestants on a TV survival show are very hungry. The only food they can see is some…

A: Given data: Spring constant (k) = 1300 N/m Compression in spring (x) = 38 cm = 0.38 m Mass (m) = 480…

Q: When a m = 12 kg mass is on a frictionless incline of 30 degrees and takes 270 N to compress a…

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.