Question: Suppose we hang a heavy ball with a mass m=18 kg (so the weight is m*g ) from a steel wire 3.7 m long that

Suppose we hang a heavy ball with a mass m=18 kg (so the weight is m*g ) from a steel wire 3.7 m long that is 3.3 mm in diameter (radius = 1.65×10-3 m). Steel is very stiff, and Young's modulus for steel is unusually large, 2 × 1011 N/m^2. Calculate the stretch deltaL of the steel wire.

deltaL= _____m

This calculation shows why in many cases it is a very good approximation to pretend that the wire doesn't stretch at all ("ideal non-extensible wire").

Step by Step Solution

★★★★★

3.42 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To calculate the stretch Delta L of the steel wire we can use the formula derived from Hookes Law fo... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Physics Questions!

A heavy ball with a weight of 100 N (m = 10.2 kg) is hung from the ceiling of a lecture hall on a 4.5-m-long rope. The ball is pulled to one side and released to swing as a pendulum, reaching a speed...

A copper wire of diameter 2 mm is 10 m long and stretched out between two posts. The normal stress (pressure) = E (L Lo)/Lo, depends on the length L versus the unstretched length Lo and Youngs...

A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N is applied to each end of the wire. What minimum diameter is required for the wire?

The two shafts of a Hooke's coupling have their axes inclined at 20.The shaft A revolves at a uniform speed of 1000 rpm. The shaft B carries a flywheel of mass 30 kg. If the radius of gyration of the...

In the game of tetherball a rope with length L = 1.40 m connects a ball with mass m = 0.700 kg to the top of a vertical pole so that the ball can spin around the pole as @ Macmillan Learning shown in...

I need answers to the following 16 questions in the CDCcase study. Thank you. Centers for Disease Control and Prevention Epidemiology Program Office Case Studies in Applied Epidemiology No. 471-600...

Hello could you help me understand the steps to solve these questions. The table is provided IF needed. Thank you! DIRECTIONS: Answer each question in the space provided. 1. You drive your car down a...

012-5375B Ballistic Pendulum/Projectile Launcher Experiment 8: Projectile VelocityApproximate Method | EQUIPMENT NEEDED: - launcher - Steel ball - C-clamp (optional) - Mass balance - string Purpose:...

KIN 44S Exam II Review Worksheet Quantity Symbol Unit Symbol Unit (Linear) (Linear) (Angular) (Angular) Dis - lac ement Acceleration Time Impulse Kinetic Energy Work Power 1. A pitched ball with a...

10. [41 Points] SERCP104.AE.014. EXAMPLE 4.14 Connected Objects GOAL Use both the general method and the system -D 11 approach to solve a connected two-body problem involving "'1 l gravity and...

Exercise 8 - 5 5 ( Algo ) Operations Costing ( LO 8 - 8 ) Devereaux Cycles makes three models of scooter: Commuter, Sport, and X - treme. The scooters are produced in four departments: Assembly,...

The Bonggang Bonggang Bang Bang Shop makes three basic types of noisemakers: Beng, Bang, and Bong. A Beng can be made in 30 minutes and has a feather attached to it. A Bang requires 15 minutes, has...

Question 8 Refer to Step 3.3. In the "Constrained " or "Long Only" version of the optimal risky portfolio , what is the portlolio standard deviation ? Write your answer as a percentage , with no...

Answer the following question with detail explanation including example of experience of utilizing concurrent engineering in a development process. What were some of the roadblocks encountered in the...

Management at the Terrain Corporation is implementing a new just-in-time production system to achieve and maintain low inventory levels. This will help the company to reduce costs and increase...

Risk-neutral probabilities are always Select one: O equal to atomic prices O less than physical probabilities O equal to forward atomic prices O negative O equal to physical probabilities

Problem 1: Consider the following multifactor (APT) model of security returns for a particular stock Factor Inflation Industrial Production Oil Prices Factor Beta 1.0 0.5 0.2 Factor Risk Premium 9%...

Using the theoretical sampling strategy, how many samples of size 4 (n = 4) can be drawn from a population of size: (a) N = 5? (b) N = 8? (c) N = 16? (d) N = 50?

A 200 g, 40-cm-diameter turntable rotates on frictionless bearings at 60 rpm. A 20 g block sits at the center of the turntable. A compressed spring shoots the block radially outward along a...

What is the electric potential at the point indicated with the dot in FIGURE EX25.31? 1.0 nC 3.0 cm,' 3.0 cm 3.0 cm -2.0 nC -2.0 nC FIGURE EX25.31

A particle of mass m has the wave function when it is in an allowed energy level with E = 0.a. Draw a graph of (x) versus x.b. At what value or values of x is the particle most likely to be found?c....

4.21. Suppose that the weekly use of gasoline for motor travel by adults in North America is approximately normally distributed, with a mean of 16 gallons and a standard deviation of 5 gallons. (a)...

4.19. The Mental Development Index (MDI) ofthe Bayley Scales of Infant Development is a standardized measure used in studies with high-risk infants. It has approximately a normal distribution with a...

4.33. The scores on the Psychomotor Development Index (PD1), a scale of infant development, are approximately normal with mean 100 and standard deviation 15. (a) An infant is selected at random. Find...