Standing on the side of a bridge, a person uses a sling shot pulled back 20 centimeters to shoot a rock with a mass of 250 grams almost straight up into the air which then falls into the water below. The pebble traveled a maximum height of 4.0 meters above the level of the person's hand, which is 8.5 meters above the water. Find the spring constant of the elastic band of the sling shot and the speed at which the pebble hits the water. Ignore air resistance. Solve using conservation of energy principles and the various forms of kinetic and potential energies.

Standing on the side of a bridge, a person uses a sling shot pulled back 20 centimeters to shoot a rock with a mass of 250 grams almost straight up into the air which then falls into the water below. The pebble traveled a maximum height of 4.0 meters above the level of the person's hand, which is 8.5 meters above the water. Find the spring constant of the elastic band of the sling shot and the speed at which the pebble hits the water. Ignore air resistance. Solve using conservation of energy principles and the various forms of kinetic and potential energies.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A block of mass 0.75 kg slides on a rough horizontal tabletop. It hits a spring and compresses it…

A: The given values are, m=0.75 kgx=5.7 cm=0.057 mk=100 N/mμk=0.25

Q: The spring in the figure has an elastic constant k=1000N/m and the block has a mass m=300gr.…

A: The elastic constant, k=1000 N/m The compressed at a distance, x=2 cm=0.02 m The mass of the…

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

Q: A 1.42-kg box rests atop a massless vertical spring with k = 3960 N/m that has been compressed by…

A: Given data: Mass (m) = 1.42 kg Spring constant (k) = 3960 N/m Comparison in spring (x) = 13.5 cm =…

Q: A 4 kg block is sliding across a frictionless floor with an initial speed of 4 m/s when it collides…

Q: A wooden block with mass 1.85 kg is placed against a compressed spring at the bottom of a slope…

A: Part A. The distance between point A and B is d=7.55 m. So, according to the given conditions, the…

Q: In the figure, a block of mass m = 3.30 kg slides from rest a distance d down a frictionless incline…

A: Mass (m) = 3.3kg θ = 35.0 ˚ ( Angle of inclination) Spring constant (k)= 450N/m Compression (x)…

Q: Shown in the figure below is a block and track system. All locations indicated by solid black lines…

Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

Q: A 2.5-kg block moving at 2. 0 m/s collides with a spring whose spring constant is 390 N/m, as shown…

A: a. according to the conservation of energy, for the given case, 12mvi2+mgh=12kΔx2

Q: A vertical spring with a constant of 370 N/m is mounted on the floor. From directly above the…

Q: A block of mass m-2.95 kg slides along a horizontal table with speed v0-6.00 m/s. At x=0, it hits a…

A: Answer the following question

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

Q: A vertical spring with a spring constant of 430 N/m is mounted on the floor. From directly above the…

Q: A block of mass m=7.3kg slides on a rough surface and moves toward a spring with a spring constant…

A: We have givenMass of block (m)=7.3 kgSpring constant (k) = 1659 N/mWhen Block is d=22.6 m away from…

Q: A 0.87 kg block on a connected to a spring (whose spring constant is 3.80 N/m). The horizontal…

Q: A block of mass m = 0.9 Kg slides on a horizontal rough surface head on into a spring of spring…

Q: spring constant in N/m

Q: No friction D (H)

A: the spring constant K=1865N/m The block will stop at a distance D=2.4m the initial velocity with…

Q: A block of mass m=5.5kg slides on a rough surface and moves toward a spring with a spring constant…

Q: A 500-g block is released from rest and slides down a frictionless track that begins 1.90 m above…

A: Given data: Mass of the block is, m = 500 g = 0.5 kg Height of the block from horizontal is, h =…

Q: A 1.10-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

Q: Shown in the figure below is a block and track system. All locations indicated by solid black lines…

Q: A spring loaded cannon is located 65.0 m on a cliff, looking over the water. A 25 kg shell is loaded…

Q: A 10-kilogram block is dropped from point A as shown. The rail is frictionless except for the 6 m…

A: The expression for the work done by the friction force, The expression for the initial kinetic…

Q: A block of mass, m 3.30 kg, slides along a frictionless surface. It starts with a velocity, vo 8.50…

Q: A 3.00 kg block is accelerated from rest by a compressed spring of spring constant 630 N/m. The…

A: Given: Accelerated = 3.00 kg Spring constant = 630 N/m Spring compressed = 0.300 m Coefficient of…

Q: A block of mass 0.5 kg is initially resting against the spring, compressing the spring at a distance…

Q: You push a 2.00 kg block against a horizontal spring, compressing the spring by 15.0 cm. Then you…

A: Given Mass of block is m= 2.00 kg Compressed distance of spring is x=15.0 cm=0.15 m Spring constant…

Q: A 0.100 kg block of ice is placed against a horizontal, compressed spring mounted on a horizontal…

A: When the block of ice is released from the spring, the spring potential energy is equal to the…

Q: A 0.300-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with…

Q: A 3.00 kgkg block on a horizontal floor is attached to a horizontal spring that is initially…

A: Given value--- mass = 3 kg. compressed length = 0.036 m. force constant = 845 N/m. coefficient of…

Q: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

A: The string on a bow can be described as a spring. A particular bow’s string has a spring constant of…

Concept explainers

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. 

Question

Standing on the side of a bridge, a person uses a sling shot
pulled back 20 centimeters to shoot a rock with a mass of 250
grams almost straight up into the air which then falls into the
water below. The pebble traveled a maximum height of 4.0
meters above the level of the person's hand, which is 8.5 meters
above the water. Find the spring constant of the elastic band of
the sling shot and the speed at which the pebble hits the water.
Ignore air resistance.
Solve using conservation of energy principles and the various
forms of kinetic and potential energies.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given parameters and concept

VIEW

Step 2: Finding the spring constant

VIEW

Step 3: Finding speed at which pebble hits the ground

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 2.0 kg ball is launched by means of a vertically oriented spring with spring constant k = 16.0 N/cm. The spring is compressed 10.0 cm before the launch. (a) What is the maximum speed of the ball during this launch? (b) What is the maximum height the ball reaches? (Consider y = 0 to be the equilibrium height of the spring)
I'm trying to find the block's velocity once it leaves the spring. A block of mass, 1.8 kg is attached and secured to an end of a spring with a spring constant of 10,000 N/cm. The other end of the spring is secured to the wall. The block is pushed against the spring, which compresses the spring to a position of x = -0.04 cm. When uncompressed, the end of the spring that is attached to the block is at a position of x = 0.00 cm. The block/spring system is then released from rest, and the block travels along a rough horizontal track for the length of the spring. At 0.00 cm the surface changes. Can you help me calculate the block's velocity once it leaves the spring? Thank you.
A 1.50-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v. = 2.80 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). a m Vj = V=0 k (a) Find the distance of compression d (in m). m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). m/s (c) Find the distance D (in m) where the object comes to rest. m (d) What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest…
A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k = 1.25×105 N/m. The spring is initially compressed 17.5 centimeters (cm) from equilibrium. Then the block is released, setting it into motion. The block initially slides along a frictionless surface, but then it encounters a 1.50 meter long rough patch where the coefficient of kinetic friction is 0.134. It then slides down a frictionless ramp, which is tilted at an angle of 19.5 degrees and has a length of 2.50 meters. How fast is the block moving when it reaches the bottom of the ramp? Give your answer in meters per second (m/s). Hint: use WNC = ΔK + ΔU.
A block with mass m = 19.1 kg is pressed against a spring with spring constant 2.720E+3 N/m, compressing the spring a distance of 0.130 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 8.24 m), and onto a horizontal surface with friction μk = 0.287. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?
An 8.0-g bullet is suddenly shot into a 4.0-kg block that is at rest on a frictionless horizontal surface, as shown in the figure. The bullet remains lodged in the block. The block then runs into a spring bumper and compresses it by 3.7 cm. The force constant (spring constant) of the spring is 2500 N/m. What was the initial speed v of the bullet?
A 2.00kg block is pushed against a spring with negligible mass and force constant k = 435 N/m , compressing it 0.215 m. When the block is released, it moves along a frictionless, horizontal surface. Find its velocity after the release?
A spring-loaded toy gun is used to shoot a ball of mass m = 1.50 kg straight up in the air, as shown in (Figure 1). The spring has spring constant k = 667 N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y = 0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that all movement occurs in a straight line up and down along the y axis. Figure hmax y=0 ☹ 1 of 1 Part B Find vm the muzzle velocity of the ball (i.e., the velocity of the ball at the spring's equilibrium position y = 0). ▸ View Available Hint(s) Um = Submit Part C v A Templates Symbols undo redo reset keyboard shortcuts help Find the maximum height hmaxof the ball. Express your answer numerically, in meters. ▸ View Available Hint(s) hmaxe Submit ▾ Part D Templates Symbols undo redo reset keyboard shortcuts help Submit m/s Which of the…
A 1.30 kg block slides on a frictionless horizontal surface until it encounters a spring with a force constant of 520 N/m. The block comes to rest after compressing the spring by the distance of 2.50 cm.What was the initial speed of the block ? O 0.25 m/s 5.0 m/s O 31.6 m/s O 0.50 m/s
A block of mass m = 0.6 kg slides on a horizontal rough surface head on into a spring of spring constant k, as shown in Figure. When the block is x = 1.1 meter away from the spring, it has a velocity v = 3.82 m/s. When the block stops, it has compressed the spring by 12.6 cm. The coefficient of kinetic friction between the block and the surface is 0.31. What is the value of the spring constant k in N/m? Provide your answer with 0 decimal places. Take g = 9.81 m/s2 V X Windows'u Etkinleştir
A 1.90 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.00 m/s and compresses it a distance of 11.0 cm before coming to rest. If the coefficient of kinetic friction between the block and the surface is 0.460, what is the force constant of the spring?
A block of mass m = 2.00 kg is attached to a spring of force constant k = 440 N/m as shown in the figure below. The block is pulled to a position x:= 5.70 cm to the right of equilibrium and released from rest. x=0 x = x; (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is μ = 0.350. m/s