A spring-loaded pellet gun is designed to fire 2.50 g projectiles horizontally at a speed of 45.2 m/s. (a) If the spring is compressed to its maximum design difference of 8.80 cm, what spring constant is required? N/m (b) What maximum force is required to load the gun? N

A spring-loaded pellet gun is designed to fire 2.50 g projectiles horizontally at a speed of 45.2 m/s. (a) If the spring is compressed to its maximum design difference of 8.80 cm, what spring constant is required? N/m (b) What maximum force is required to load the gun? N

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 4OQ

See similar textbooks

Related questions

Q: The suspension of a pickup truck acts like a spring with a spring constant of 130,000 N/m. If the…

A: The weight of the load will be balanced by the compression force of the spring. A) Hence, mg = kx x…

Q: A spring-loaded pellet gun is designed to fire 3.20 g projectiles horizontally at a speed of 42.8…

A: The given data are: m=3.20 g=3.20×10-3 kgv=42.8 m/sx=8.60 cm=8.60×10-2 m

Q: A 2.00-kg package is released on a 53.1° incline, 4.00 m from a long spring with force constant 1.20…

A: Given a 2.00 kg package is released on a 53.1◦ incline, 4.00 m from a long spring with force…

Q: A bullet with a mass ?b=13.1 g is fired into a block of wood at velocity ?b=253 m/s. The block is…

Q: A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is…

Q: (e) If M= 0.30 kg, k= 30Nm' and the initial displacement of the mass is 0.015 m, calculate: (i) the…

A: According to the given question, Mass ,M = 0.30 kg Spring constant ,K= 30 N/m The initial…

Q: A 710 g block is dropped from a altitude h above a physics spring of spring constant 400 N/m. The…

A: Given : Mass of the block, m = 710 kg Height h. Spring constant, k = 400 N/m Compression of the…

Q: H A 5.00-g bullet moving with an initial speed of vo 430 m/s is fired into and passes through a…

Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.70 x 105 N/m.…

Q: The springs of a pickup truck act like a single spring with a force constant of 1.52 ✕ 105 N/m. By…

Q: A spring-loaded pellet gun is designed to fire 2.50 g projectiles horizontally at a speed of 42.2…

A: Given data The mass is m=2.50 g The speed is v=42.2 m/s The spring difference is x=7.10 cm (a) The…

Q: a. When the displacement of a mass on a spring is 1/2 A, what fraction of the mechanical energy is…

A: a.

Q: the motion of the block, what is its maximum speed? Express your answer to three significant figures…

Q: Question II A 3.79 kg mass is dropped from a height of 3.11 m onto a spring with k = 1830.00 N/m in…

A: Mass , M = 3.79 kg Height , h = 3.11 m Spring constant , k = 1830 N/m To find = Maximum…

Q: A horizontal block-spring system with the block on a frictionless surface has total mechanical…

A: Since you have posted a question with multiple subparts , we will solve the first three subparts for…

Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30X105 N/m. By…

A: To determine: (a) The distance of the truck that is depressed by the maximum load (b) The force…

Q: What is the length of a simple pendulum that oscillates with a period of 4.00 s on Earth, where the…

Q: (a) How much (in m) will a spring that has a force constant of 44.5 N/m be stretched by an object…

A: We are asked to answer part (a) only

Q: Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report…

Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30 × 105 N/m .…

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

Q: A 15.0 kg crate is supported by a spring 1.) attached to the ceiling and a cable attached to the…

Q: A body of mass is attached to a spring with an elastic constant equal to 282 N/m. When equal to 5.56…

Q: llet with a mass ?b=13.5g is fired into a block of wood at velocity ?b=261 m/s. The block is…

A: givenMass of Bullet, mb=13.5 g=0.0135 kgVelocity of bullet, vb=261 m/sSpring constant, k=205…

Q: A horizontal block-spring system with the block on a frictionless surface has total mechanical…

Q: A horizontal.block-spring system with the block on a frictionless surface has total mechanical…

A: According to bartelby rules we are allowed to do only 3 parts in a question. Please send other part…

Q: B/ A copper spring with elastic constant of 28 N/m was placed horizontally and attached to a mass of…

A: Given Spring constant k=28N/m Mass m=0.25kg Amplitude A=0.06m

Q: A horizontal spring system consists of a block of mass 4.25 kg on a frictionless surface attached to…

A: a) When a spring is displaced by a distance x from its equilibrium position then the force acting on…

Q: You pull a simple pendulum 0.240 m long to the side through an angle of 3.50° and release it. (a)…

Q: A horizontal block–spring system with the block on a frictionless surface has total mechanical…

Q: A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0…

A: Given data: The mass of a particle is: m = 0.5 kg The angular frequency is: ω The force constant is:…

Q: A 0.505-kg block slides on a frictionless horizontal surface with a speed of 1.18 m>s. The block…

A: (a) According to conservation of energy, KE = PE (1) Kinetic energy is K=12mv2 Potential energy…

Q: Part A During the motion of the block, what is its maximum speed? Express your answer to three…

A: Given Mass of block m=0.4kg Spring constant k=200N/m speed at x=0.160m is v=3m/s

Q: The springs of a pickup truck act like a single spring with a force constant of k = 1.15 × 105 N/m.…

A: a) Write the expression for the force to determine the deflection.

Q: A horizontal block-spring system with the block on a frictionless surface has total mechanical…

Q: The springs of a pickup truck act like a single spring with a force constant of k = 1.25 × 105 N/m.…

A: a)the magnitude of restoring force is equal to the weight of the load

Q: A 3.00 kg block is connected to two ideal horizontal springs havingforce constants k1 = 25.0 N/cm…

Q: 3. A 1.5 kg block (moving in the right direction on a horizontal surface) collides with a spring…

Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.13 x 105 N/m.…

Q: A perfectly elastic spring requires 0.75 J of work to stretch 5 cm from its equilibrium position.…

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: A 0.250 - kg block along a horizontal track has a speedof 1.50 m/s immediately before colliding with…

A: According to law of conservation of energy, potential energy of the system is equal to kinetic…

Q: A 10.8-kg block rests on a horizontal table and is attached to one end of a massless, horizontal…

A: Draw the free body diagrams for the two cases of application of forces on the block as:

Q: A rifle bullet with mass of 7.50 g strikes and embeds itself in a 0.870 kg block resting on a…

Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30×105 N/m .…

A: Given data *The given force constant is k = 1.30 × 105 N/m *The given mass is m = 1000 kg

Q: (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 7.5 cm…

A: The acceleration of box is calculated by use of kinematics formula, v2=u2+2as The final velocity v…

Q: A 2.50-kg block on a horizontal floor is pushed against a horizontal spring that is initially…

Q: (a) The springs of a pickup truck act like a single spring with a force constant of 1.30×105 N/m .…

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

A spring-loaded pellet gun is designed to fire 2.50 g projectiles horizontally
at a speed of 45.2 m/s.
(a) If the spring is compressed to its maximum design difference of
8.80 cm, what spring constant is required?
N/m
(b) What maximum force is required to load the gun?
N
Need Help?
Read It

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

Use the data in Table P16.59 for a block of mass m = 0.250 kg and assume friction is negligible. a. Write an expression for the force FH exerted by the spring on the block. b. Sketch FH versus t.
If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?
Two parakeets sit on a swing with their combined CMs 10.0 cm below the pivot. At what frequency do they swing?
A block of mass M rests on a table. It is fastened to the lower end of a light, vertical spring. The upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg/k. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. In terms of m, what is the greatest possible value for m?
Check Your Understanding Identify one way you could decrease the maximum velocity of a simple harmonic oscillator.
A pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
A block of mass m = 2.00 kg is attached to a spring of force constant k = 500 N/m as shown in Figure P7.15. The block is pulled to a position xi = 5.00 cm to the right of equilibrium and released from rest. Find the speed the block has as it passes through equilibrium if (a) the horizontal surface is frictionless and (b) the coefficient of friction between block and surface is k = 0.350. Figure P7.15
A horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in Figure 5.22. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 6.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. (d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. Substitute to obtain a numerical value. (e) What is the speed at the halfway point? Why isnt it half the speed at equilibrium?
A simple pendulum as shown in Fig. 4.24 oscillates back and forth. Use the letter designations in the figure to identify the pendulums position(s) for the following conditions. (There may be more than one answer. Consider the pendulum to be ideal with no energy losses.) (a) Position(s) of instantaneous rest ___ (b) Position(s) of maximum velocity ___ (c) Position(s) of maximum Ek ___ (d) Position(s) of maximum Ep ___ (e) Position(s) of minimum Ek ___ (f) Position(s) of minimum Ep ___ (g) Position(s) after which Ek increases ___ (h) Position(s) after which Ep increases ___ (i) Position(s) after which Ek decreases ___ (j) Position(s) after which Ep decreases ___ Figure 4.24 The Simple Pendulum and Energy
Check Your Understanding An engineer builds two simple pendulums. Both are suspended from small wires secured to the ceiling of a room. Each pendulum hovers 2 cm above the floor. Pendulum 1 has a bob with a mass of 10 kg. Pendulum 2 has a bob with a mass of 100 kg. Describe how the motion of the pendulums will differ if the bobs are both displaced by 12°.
Find the frequency of a tuning fork that takes 2.50103 s to complete one oscillation.
Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 15.51.