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

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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 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 box with 15 kg of mass slides down an inclined plane that is 1.9 m high and 3.7 m along the…

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Q: box with 17 kg of mass slides down an inclined plane that is 1.8 m high and 3.7 m along the inclined…

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

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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: Your parents are trying to find things to do for your younger brother who is 8 yrs old. They buy a…

A: mass (m) = 45 kg height of platform above trampoline (h) = 2 m initial velocity (v) = 3 msApplied…

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

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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 box with 14 kg of mass slides down an inclined plane that is 1.5 m high and 3.2 m along the…

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

A: mass = 5.28 g original compression (d) = 4.90 cm k = 8.01 N/m d1 = 15.9 cm f =  0.0323 N

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

A:

Q: A toy cannon uses a spring to project a 5.21-g soft rubber ball. The spring is originally compressed…

A:

Q: A 4.00 x 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: Given data:  Mass (m) = 4.00×105 kg Final velocity (v) = 0 m/s Initial velocity (u) = 0.500 m/s…

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

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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 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

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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 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: spring with a constant of 50.0 N/cm. The launcher is prepared by compressing the spring by 5.00 cm.…

A:

Q: 3.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large…

A:

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

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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: A 3.00 ✕ 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: Basic Details According to the conservation of the energy, the kinetic energy of the subway train…

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 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 toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed…

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:

Q: S3. You are designing a spring powered mortar, which is a tube encapsulating a spring inside it that…

A: Given: Mass of the projectile m = 2 kg. Maximum horizontal range R = 90 m Maximum Compression of the…

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: Given:  mass of ball (m) = 0.3 kg compression (x) = 0.10 m natural length (L) = 0.5 m spring…

Q: Thanks!

A:

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

A: We know,

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.