A spring with a force constant of 5000 N/m and a rest length of 3.0 m is used in a catapult. When compressed to 1.0 m, it is used to launch a 50 kg rock. However, there is an error in the release mechanism, so the rock gets launched almost straight up. How high does it go, and how fast is it going when it hits the ground?

Q: In preparation for shooting a ball in a pinball machine, a spring (k = 683 N/m) is compressed by…

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

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Q: 12. A vertically mounted spring (k = 750 N/m) is compressed by 30.0 cm relative to its unstrained…

A: Spring constant = 750N/m Initially compression in spring =30cm Given mass =0.24kg Height =10.76m

Q: The bob of a simple pendulum has a maximum speed of vmax = 1 m/s. What would be the bob's height…

A: Given:- Vmax= 1 m/s Point to remember:- Maximum velocity is acquired when the bob passed through its…

Q: What is the elastic potential energy of a rubber band with a spring constant of 25.0 N/m if it is…

A: Elastic potential energy of a rubber is given as follows: E=12kx2 E is the energy k is the spring…

Q: A vertically mounted spring (k = 850 N/m) is compressed by 24.0 cm relative to its unstrained…

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Q: A block of mass m = 1.7 kg is dropped from height h = 70 cm onto a spring of spring constant k =…

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Q: A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Given:Mass of the block, m = 15 kgInclination of the plane = 40 degreesSpring constant, k = 3.4 ×104…

Q: How much energy is stored in a spring with a spring constant of 15O N/m if it is compressed a…

A: Given information The spring constant of the spring, k=150 N/m The compression in the spring, x=0.4…

Q: A spring is hanging from the ceiling. A physicist with mass 60 kg jumps up and grabs ahold of the…

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Q: The horizontal surface on which a block slides is frictionless. The speed of the block is 6.0 m / s…

A: Here, ∆K=-∆UsKf-Ki=Ui-Uf                               (Ui=0)Kf=12mvf2-12kxf2

Q: A child's pogo stick stores energy in a spring with force constant of 2.50×10 4 N/m At position A (x…

A: Given: Force constant of spring is 2.5×104N/m At position A, xA=-0.100m, child is momentarily at…

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

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Q: Calculate the potential energy of an object with mass m = 140 g at a height h = 11 cm. Use g = 9.803…

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Q: Experiments performed on the wing of a hawkmoth (Manduca sexta) show that it deflects by a distance…

A: The given data are listed below with appropriate variables. Here, x denotes the deflection distance…

Q: As shown in the figure, a 1.5 kg box is held at rest against a spring with a force constant k = 695…

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Q: In a pinball machine, a horizontal spring with a spring constant of 31 N/m, is compressed by 4.0 cm…

A: Now since there is no loss of energy. The potential energy of the compressed spring will be equal to…

Q: To what maximum height above the point of release does it rise?

A: The maximum height attained by the block can be determined by the conservation law of energy as,…

Q: The mass slides across a rough patch of length 0.57 m where the coefficient of kinetic friction is…

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Q: An elevator car of mass 815 kg falls from rest 2.80 m, hits a buffer spring, and then travels an…

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Q: A horizontal spring attached to a wall has a force constant of k = 770 N/m. A block of mass m = 1.60…

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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: A block of mass 11.0 kg slides from rest down a frictionless 36.0° incline and is stopped by a…

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

A: Let the spring constant of the spring be k, the maximum compression of the spring be x, and the mass…

Q: A spring with a spring constant of 650 N/m is compressed a distance of 0.35 m from its equilibrium…

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Q: A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Consider the final point will be the datum/reference point.  The vertical distance from the initial…

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: A block of mass m = 3.70 kg is dropped from height h = 43.0 cm onto a spring of spring constant k =…

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Q: A vertically mounted spring (k = 650 N/m) is compressed by 24.0 cm relative to its unstrained…

A: Given,

Q: On a horizontal surface, a crate with mass 50.0 kg is placed against a spring that stores 360 J of…

A: Since the crate is moving horizontally, Wgrav=0 The work done by the frictional force can be given…

Q: Thanks!

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Q: The cable of the 2000 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Using force balance equations, energy conversion relations to solve the problem

Q: A 356 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 1.7 N/cm.…

A:

Q: The spring in a dart gun has a spring constant of 20.0 N/m. The spring is compressed 8.00 x 10-2 m…

A: Given data: Spring constant (k) = 20.0 N/m Compression in spring (x) = 8.00 × 10-2 m Mass of dart…

Q: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60…

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Q: It takes 1700 J of work to stretch a spring from its natural length of 1 m to a length of 5 m. Find…

A: Work done = 1700 J natural length = 1 m final length = 5 m

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

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Q: A collision cart on a flat track is launched using a compressed internal spring. The cart has a mass…

A: Solution: Given: m = mass of cart = 0.5 kg k = spring constant of spring = 270 N/m s = compression…

Q: A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: According to energy conservation law, potential energy of block at the top of incline is equal to…

Q: a bullet with the mass 5kg is fired horizontally into a 2kg block attached to a horizontal spring.…

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Q: The cable of the 1600 kg elevator cab in the figure snaps when the cab is at rest at the first…

A: Given: The mass of the elevator is 1600 kg. The distance from the bottom is 3.1 m. The spring…

Q: A 250 g block on a 30° ramp with μk = 0.17 is pushed against a spring. The constant of the spring is…

A: Draw the free-body diagram of the block, when the block is on-ramp.

Q: Suppose a box of mass mm slides toward a spring with a speed of vi, presses 1.00 m into the spring,…

A: The initial kinetic energy of the box is equal to potential energy stored in the spring plus the…