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 Imax O 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 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) hmax Submit Part D Templates Symbols undo redo reset keyboard shortcuts help, m/s m Which of the following actions, if done independently, would increase the maximum height reached by the ball? Check all that apply. Submit Request Answer reducing the spring constant k increasing the spring constant k decreasing the distance the spring is compressed increasing the distance the spring is compressed decreasing the mass of the ball increasing the mass of the ball tilting the spring gun so that it is at an angle 0 < 90 degrees from the horizontal

Q: A 700 N person walks up 10 stairs, each of height 30 cm. How much work was performed by the person?

A: Given value--- weight of person = 700 N. height of each stair = 30 cm. number of stairs = 10 . We…

Q: In the figure a 19 V battery is connected across capacitors of capacitances C₁=C6 = 4.5 μF and C3=C5…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A force F(x) = bx³ acts on a potato as it moves along the x-axis from the origin to 4.1 m. How much…

A:

Q: A force F = Fi + Fyj + F₂k acts on a box of dehydrated potatoes as it moves from the origin to point…

A: According to question we need to find work done by the force.

Q: A car requires 73.6 hp to maintain a constant speed of 20.4 m/s on a straight, flat road. Assuming…

A: Given data:  Power (P) = 73.6 hp Speed (v) = 20.4 m/s 1 hp = 746 W  Required: The magnitude of the…

Q: Find the capacitance of the group of capacitors shown in the figure below. C₁ = 4.80 μF, C₂ = 4.50…

A:

Q: person is running at 9.0 m.s-1 into a 4.5 m.s-1 headwind. Calculate the runner's velocity relative…

A:

Q: A circuit has four resistors connected to a 3.00-V battery: R1=15.0 ohms, R2=10.0 ohms, R3=25.0…

A: Given value--- A circuit has four resistors connected to a 3.00-V battery: R1=15.0 ohms, R2=10.0…

Q: 1. Consider a bomb of mass M (see figure below) that sits in the middle of space. Initially, the…

A: Given, Mass of bomb, M masses of 4 portions of the bomb after the explosion will be, m1,m2,m3  and…

Q: A custom-designed spring has a restoring force F(x) = − (ax + Bx²) where x is the stretch from its…

A:

Q: If a wave is traveling at a velocity 30.00 meters per second and has a frequency of 6.11 hertz, what…

A:

Q: What is the equation used for obtaining the index of refraction for the Air-to-Acrylic set-up where…

A:

Q: If I place equal amounts of butter on the tip of a metal spoon, plastic spoon, and wooden spoon and…

A: According to the question, an equal amount is on the spoon and dipped into the hot water. There are…

Q: A rocket drifts sideways in outer space from point "a" to point "b" as shown below. The rocket is…

A:

Q: (a) How much charge is on each plate of a 3.00-μF capacitor when it is connected to a 20.0-V…

A:

Q: Option C was marked incorrect. Please response.

A: For the given problem statement, we need to understand what conduction and convection is. Conduction…

Q: (b) An object of mass 2 [kg] is tossed up with upward velocity 10 [m/sec]. Assume the gravitational…

A:

Q: In the figure, a cord runs around two massless, frictionless pulleys. A canister with mass m = 36 kg…

A:

Q: ) In the figure what value must R have if the current in the circuit is to be 0.93 mA? Take ₁ = 2.2…

A: Current = i = 0.93 mA E1 = 2.2 V E2 = 3.4 V

Q: rails (even as the wire moves). At t = 61.1 ms, what are the wire's (a) speed and (b) direction of…

A:

Q: A place kicker A executes a "pooch" kick, which is designed to eliminate a potential return by the…

A:

Q: A pendulum completes 1.5 cycles every second what is its period

A: Given value--- A pendulum completes 1.5 cycles every second We have to find--- what is its period…

Q: To push a crate of mass 70 kg up a frictionless ramp with an angle of 25 ° to the horizontal, a…

A: The given data we have: Mass of the crate: 70 kg Angle of the ramp: 25o Force exerted by the worker:…

Q: A string under a tension of 59.0 N is used to whirl a rock in a hortzontal circle of radius 2.45 m…

A: Here is the answer and explaination in the given image

Q: The coefficient of static friction between the m= 2.55-kg crate and the 35.0° incline of the figure…

A:

Q: Two long, parallel wires separated by 2.80 cm carry currents in opposite directions. The current in…

A:

Q: A 18-kg sled is being pulled along the horizontal snow-covered ground by a horizontal force of 26 N.…

A:

Q: (c) What is the gravitational potential energy when the keys were dropped? (d) What is the…

A:

Q: esistanc

A: To overcome resistance when working through a difficult problem are as follows: a) First start with…

Q: The skateboarder in the drawing starts down the left side of the ramp with an initial speed of 4.9…

A:

Q: A 3.2 kg mess kit sliding on a frictionless surface explodes into two 1.6 kg parts, one moving at…

A:

Q: A mechanic pushes a 2.50 × 10°-kg car from rest to a speed of v doing 5.00 × 10³ J of work in the…

A: Given data:  Mass (m) = 2.50×103 kg Initial velocity (u) = 0 m/s Final velocity = v Displacement (d)…

Q: What shunt resistance is required to make Example 19.15 the 1.00 mA, 20 Q galvanometer into an…

A:

Q: 1. How does this coefficient compare to the coefficient of the block (wooden side down) obtained…

A: The earlier obtained coefficient of the block (wooden side down) is µs (wooden side down) = 0.338…

Q: A water slide is constructed so that swimmers, starting from rest at the top of the slide, leave the…

A:

Q: A projectile is launched from point A with the initial conditions shown in the figure. Determine the…

A:

Q: What is the efficiency of the engine if it operates in an idealized Otto cycle?  % (b) If the…

A: This is the required answer.

Q: 22. || In a crash test, a car is driven into a solid wall at a speed of 35 mph. Figure P4.22 shows…

A: When the acceleration of the car is maximum, the force will be maximum. From the graph, the maximum…

Q: A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible…

A: Length (L) = 0.78 m initial velocity at the bottom (v) = 2.3 msmaximum angle = θ

Q: Stars A and B both have the same spectral class. Star A is 7 times farther away than star B. The…

A:

Q: A fully-loaded, slow-moving freight elevator has a cab with a total mass of 1700 kg, which is…

A:

Q: Problem 7.03. In their courtship ritual, Bald Eagles collide mid-air and interlock talons, and fall…

A: Write the given values with the suitable variables. m1=5.65 kgu1=7.40 m/sm2=4.05 kgu2=-6.30 m/s…

Q: Electric Potential is given by V=6x-8xy2-8y+6yz-4z2 then the electric force acting on 2 Coulomb…

A:

Q: Supernova C is 10 times farther away than supernova D. The brightness of supernova C will be…

A:

Q: Question 5.3a: The figure shows a 3.35-kg box being released from rest to slide down a frictionless…

A:

Q: 7. Find the magnitude and direction of the current in the circuit shown. Note- although we can…

A:

Q: An object of mass m1 = 4.00 kg is tied to an object of mass m2 = 3.50 kg with String 1 of length ℓ =…

A:

Q: Lance is researching what effect light brightness has on how many leaves a specific plant develops.…

A: Positive correltaion-A positive correlation is a relationship between two variables such that as the…

Q: Problem 1: UP 6.46 A total charge Q is distributed uniformly throughout a spherical shell of inner…

A:

Q: A track and field athlete is competing in the hammer throw event. The athlete is 181cm tall, with an…

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.