When a body of mass 0.25 kg is attached to a vertical mass less spring, it is extended 5.0 cm from its unstretched length of 4.0 cm. The body and spring are placed on a horizontal frictionless surface and rotated about the held end of the spring at 2.0 rev/s. How far is the spring stretched?

When a body of mass 0.25 kg is attached to a vertical mass less spring, it is extended 5.0 cm from its unstretched length of 4.0 cm. The body and spring are placed on a horizontal frictionless surface and rotated about the held end of the spring at 2.0 rev/s. How far is the spring stretched?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.45P

See similar textbooks

Related questions

Q: A pendulum is formed from a small rock with mass of 0.10 kg that is fastened to a massless string…

Q: A block is attached to a spring. The block moves on a frictionless table in a perfect circle around…

A: GIVEN : Spring coefficient k = 15 N/m Mass of block , m = 0.80 kg Extension of spring x = 0.55 m (a)…

Q: A 2.35-kg uniform bar oflength l = 1.30 m is heldin a horizontal position bythree vertical springs…

A: a)Weight of the bar = mxg = 2.35×9.8 = 23.03 N

Q: A spring oriented vertically is attached to a hard horizontal surface as in the figure below. The…

A: Compression Springs are open-coil helical springs wound or constructed to oppose compression along…

Q: Suppose thata simple pendulum consists of a small 73 g bob at the end of a cord of negligible mass.…

Q: A 90 cm long spring has a force applied to it. The spring is stretched 25 cm by the force. The…

A: The equation for the magnitude of the force applied is

Q: A 1.0-kg block (m1) is attached to the end of a 2.5-m string to form a pendulum. This pendulum is…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: A fixed spring (300 N/m) is attached to a horizontal position. If the spring is compressed from its…

Q: I find a spring that is labeled "80 N/m" but it is actually 3.5 inches long, before being hung from…

A: Spring constant (k) = 80 N/m Displacement (y) = 62 mm = 0.062 m

Q: How far will the bolt go after the shot?

Q: 4. An 26 g rifle bullet traveling at 250 m/s buries itself in a 4.4 kg pendulum hanging on a 2.4 m…

A: mass of rifle bullet (m) = 26 g = 0.026 kg Speed of bullet (v) = 250 msMass of pendulum (M) = 4.4 kg…

Q: An archer pulls back the string on her bow to a distance of 50 cm from its equilibrium. To hold the…

A: Given compressed distance is x= 0.50 m Applied force is F=160 N

Q: A spring stretches 5.0 cm when a 0.20 kg block is hung from it. If a 0.70 kg block replaces the 0.20…

A: The force of the first block, The spring stretch when the first block hung on it,

Q: tarazan tries to cross a river by swinging from one bank to another on a vine that is 15.0m long.…

Q: To what height above its lowest point does the mass swing on the other side?

Q: A simple pendulum is formed of a bob of mass m attached to a string of ler The bob is displaced from…

A: At mean position particle will have maximum velocity that is Aw. (w = omega=angular velocity)

Q: What mass must be added to a spring with k = 80 N/m to stretch the spring 15.0 cm? O A) 1200 kg B)…

A: Given data: Spring constant is, k=80 N/m. Stretching distance is, x=15.0 cm=0.15 m.

Q: Consider a 14.5 kg rectangular block of length 0.40 m attached to a spring with a spring constant of…

Q: A mathematical pendulum of mass 1.0 kg and length 1.0 m is moved by an angle 60° from the vertical…

A: The energy possessed by an object in motion with a velocity v is known as the kinetic energy and is…

Q: A spring-mass system is shown in the following figure. Use m = 1.5 kg and k = 120 N/m. Equilibrium…

Q: Two blocks are connected by a light string that passes over a frictionless pulley as in the figure.…

Q: A bar weighing 26.0 N is supported horizontally on each end by two hanging springs, each 15.0 cm…

Q: 47. An inclined plane of angle 20.0° has a spring of 500 N/m fastened securely at the bottom so that…

Q: Suppose that a simple pendulum consists of a small 79 g bob at the end of a cord of negligible mass.…

A: Given Information:- Mass of the pendulum bob is m=79 g=79 g×1 kg1000 g=0.079 kg Expression of θ is…

Q: **13. A 30.0-kg block is rest- ing on a flat horizontal table. On top of this block is resting a…

Q: A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and…

A: The potential energy of the ball is converted into kinetic energy when passes through the point B…

Q: A massless spring (k=375N/m) is pulled by 0.3m from its natural length and released. The spring is…

A: Spring constant of spring k=375N/m pulled distance A=0.3m mass of the attached block m=0.5kg maximum…

Q: The sphere at A is given a downward velocity v0 of magnitude 5 m/s and swings in a vertical plane at…

A: Consider the figure below.

Q: A bob of mass m, attached to a string of length L = 1.8 m, has a speed v = 1 m/s at the equilibrium…

A: Given:- The mass of the bob is m. The length of the string is L = 1.8 m. The speed of the bob in…

Q: A bowling ball is attached to a 3.73-meter long cable and hung from the ceiling. The cable is kept…

Q: A 0.50-kg object moves in a horizontal circular track with a radius of 2.5m. An external force of…

A: The mass of the object is m = 0.50 kg. The radius of the circular track is r = 2.5 m. The external…

Q: A light spring with force constant 3.85 N/m is compressed by 8.00 cm as it is held between a…

Q: A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and…

A: Given that:

Q: A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and…

A: The kinetic energy is given by K = 0.5 mv2 The potential energy is U = m g h where, m is the…

Q: An oxygen cylinder of mass 13.0 kg is pulled up a mountain side at a constant speed of 1.2 m/s by a…

Q: To measure the static friction coefficient between a 1.40-kg block and a vertical wall, a spring (k…

Q: A spring is attached to a block with a mass of 2.33 kg. The block is set on a rough horizonal…

Q: Suppose that a simple pendulum consists of a small 73 g bob at the end of a cord of negligible mass.…

Q: A .430 kg block is attached to a horizontal spring that is at its equilibrium length, and whose…

A: Given that, mass of block = m1=0.430 kgmass of putty=m2=0.05 Kginitial speed of putty = u2=2.30…

Q: Determine the stretch in each spring for equilibrium of the 2-kg block. The springs are shown in the…

Q: The potential energy of a system of two particles separated by a distance r is given by U(r) = A/r,…

A: Given: The potential energy of a system of two particles separated by a distance r is given by U(r)…

Q: A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and…

Q: To form a pendulum, a 0.024 kg ball is attached to one end óf å röd öf léngth mounted on a pivot.…

Q: A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and…

Q: s, m1 and m2, are attached to a 1.95-m-long steel wire which runs over a light, frictionless pulley…

A: GivenL=1.95 md=4 mm=0.004 mm1=3.3 kgm2=4.9 kg

Q: During a dunk, a basketball player will elevate their center of mass 70 cm (or more) while jumping…

A: Given that: h=70 cm=0.7 mm=82 kgkleg=35000 N/m∆x=0.11 m

Q: A bowling ball is attached to a 3.56-meter long cable and hung from the ceiling. The cable is kept…

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 1.01 kg mass is attached to a spring of force constant 10.4 N/cm and placed on a frictionless surface.By how much will the spring stretch if the mass moves along a circular path of radius 0.520 m at a rate of 1.82 revolutions per second?
The spring of constant k = 200 N/m is attached to both the support and the 2-kg cylinder, which slides freely on the horizontal guide. If a constant 10-N force is applied to the cylinder at time t = 0 when the spring is undeformed and the system is at rest, determine the velocity of the cylinder when x = 40 mm. Also determine the maximum displacement of the cylinder.
At what angle does the tension in the 0.6 m long pendulum cord become zero if the 1.0 kg pendulum has a speed of 5.0 m/s at its lowest point (when θ=0o)?
A 1.05 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.495 m at a rate of 1.96 revolutions per second?
You pull on a string with a horizontal force of magnitude Fyb = 44 N that is attached to a block of mass mb = 6.1 kg, then to the axle of a solid cylinder of mass mc = 4.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( μs = 0.61 and μk = 0.34 ), and the incline angle is θ = 30 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. How far have you pulled the block and cylinder when everything stops? The velocity when it has traveled 44 cm down the plane is 2.030 m/s.
You pull on a string with a horizontal force of magnitude Fyb = 44 N that is attached to a block of mass mb = 6.1 kg, then to the axle of a solid cylinder of mass mc = 4.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( μs = 0.61 and μk = 0.34 ), and the incline angle is θ = 30 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. First, what is the speed of the block and cylinder after you have pulled the block and cylinder 107 cm down the plane? How far have you pulled the block and cylinder when everything stops? I can not figure out this homework question.
A small ball is attached to one end of a spring that has an unstrained length of 0.212 m. The spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 2.88 m/s. The spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0160 m. By how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?
To measure the static friction coefficient between a 1.40-kg block and a vertical wall, a spring (k = 770 N/m) is attached to the block, is pushed on the end in a direction perpendicular to the wall until the block does not slip downward (see figure). If the spring is compressed by 0.048 m, what is the coefficient of static friction?
A spring is attached to a block with a mass of 2.33 kg. The block is set on a rough horizonal surface, and you pull horizontally on the other end of the spring, steadily increasing the force. As soon as the spring stretches 0.126 m beyond its equilibrium length, you notice the block starts to move. If the spring constant is 75.8 N/m, what is the coefficient of static friction between the block and the surface?
You pull on a string with a horizontal force of magnitude Fyb = 47 N that is attached to a block of mass mb = 7.9 kg, then to the axle of a solid cylinder of mass mc = 4.4 kg and radius r = 0.4 m, then to a spring of spring constant k = 200 N/m. This is all done on an inclined plane where there is friction ( μs = 0.65 and μk = 0.37 ), and the incline angle is θ = 26 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. First, what is the speed of the block and cylinder after you have pulled the block and cylinder 27 cm down the plane?
This time the pendulum is 1.04 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 1.29 m/s. What maximum angle (in degrees) will it reach, with respect to the vertical, before falling back down?
You pull on a string with a horizontal force of magnitude Fyb = 32 N that is attached to a block of mass mb = 6.5 kg, then to the axle of a solid cylinder of mass mc = 4.0 kg and radius r = 0.4 m, then to a spring of spring constant k = 185 N/m. This is all done on an inclined plane where there is friction ( μs = 0.69 and μk = 0.40 ), and the incline angle is θ = 28 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. First, what is the speed of the block and cylinder after you have pulled the block and cylinder 6 cm down the plane? How far have you pulled the block and cylinder when everything stops?