B61 The force constanm kofa spring is the constant of proportionality in the Hooke's law relation T = ke between tension Tand extension e. le 0.6N+ 3Nm A spring A of force constant 6 Nm' is connected in series with a spring B of force constant 3 Nm ', as shown in the diagram. One end of the combination is securely anchored and a force of 0.6N is applied to the other end. (a) By how much does each spring extend? (b) What is the force constant of the combi- nation? [C)

B61 The force constanm kofa spring is the constant of proportionality in the Hooke's law relation T = ke between tension Tand extension e. le 0.6N+ 3Nm A spring A of force constant 6 Nm' is connected in series with a spring B of force constant 3 Nm ', as shown in the diagram. One end of the combination is securely anchored and a force of 0.6N is applied to the other end. (a) By how much does each spring extend? (b) What is the force constant of the combi- nation? [C)

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton's Laws

Section: Chapter Questions

Problem 11P

See similar textbooks

Similar questions

Review. A rifle bullet with a mass of 12.0 g traveling toward the right at 260 m/s strikes a large hag of sand and penetrates it to a depth of 23.0 cm. Determine the magnitude and direction of the friction force (assumed constant) that acts on the bullet.
A magician pulls a tablecloth from under a 200-g mug located 30.0 cm from the edge of the cloth. The cloth exerts a friction force of 0.100 N on the mug and is pulled with a constant acceleration of 3.00 m/s2. How far does the mug move relative to the horizontal tabletop before the cloth is completely out from under it? Note that the cloth must move more than 30 cm relative to the tabletop during the process.
In Figure P1.84, the pulleys and the cord are light, all surfaces are frictionless, and the cord does not stretch. (a) How does the acceleration of block 1 compare with the acceleration of block 2? Explain your reasoning. (b) The mass of block 2 is m2 = 1.30 kg. Derive an expression for the acceleration of the block having mass m2 as a function of the mass of block 1, m1. (c) What does the result of part (b) predict if m1 is very much less than 1.30 kg? (d) What does the result of part (b) predict if m1 approaches infinity? (e) In this last case, what is the tension in the cord? (f) Could you anticipate the answers to parts (c), (d), and (e) without first doing part (b)? Explain. Figure P1.84
(a) Give an example of different net external forces acting on the same system to produce different accelerations. (b) Give an example of the same net external force acting on systems of different masses, producing different accelerations. (c) What law accurately describes both effects? State it in words and as an equation.
A Suppose you place a block of mass M on a plane inclined at an angle . Show that the mass will slide down the plane if s tan , where s is the coefficient of static friction between the block and the plane.
A block of ice (m = 15.0 kg) with an attached rope is at rest on a frictionless surface. You pull the block with a horizontal force of 95.0 N for 1.54 s. a. Determine the magnitude of each force acting on the block of ice while you are pulling. b. With what speed is the ice moving after you are finished pulling?
A steel ball is dropped onto a hard floor from a height of 1.50 m and rebounds to a height of 1.45 m. (a) Calculate its velocity just before it strikes the floor. (b) Calculate its velocity just after it leaves the floor on its way back up. (c) Calculate its acceleration during contact with the floor if that contact lasts (8.00105s). (d) How much did the ball compress during its collision with the floor, assuming the floor is absolutely rigid?
In Example 5.8, we investigated the apparent weight of a fish in an elevator. Now consider a 72.0-kg man standing on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.20 m/s in 0.800 s. It travels with this constant speed for the next 5.00 s. The elevator then undergoes a uniform acceleration in the negative y direction for 1.50 s and comes to rest. What does the spring scale register (a) before the elevator starts to move, (b) during the first 0.800 s, (c) while the elevator is traveling at constant speed, and (d) during the time interval it is slowing down?
You have a new internship, where you are helping to design a new freight yard for the train station in your city. There will be a number of dead-end sidings where single cars can be stored until they are needed. To keep the cars from running off the tracks at the end of the siding, you have designed a combination of two coiled springs as illustrated in Figure P7.41. When a car moves to the right in the figure and strikes the springs, they exert a force to the left on the car to slow it down. Both springs are described by Hookes law and have spring constants k1 = 1 600 N/m and k2 = 3 400 N/m. After the first spring compresses by a distance of d = 30.0 cm, the second spring acts with the first to increase the force to the left on the car in Figure P7.41. When the spring with spring constant k2 compresses by 50.0 cm, the coils of both springs are pressed together, so that the springs can no longer compress. A typical car on the siding has a mass of 6 000 kg. When you present your design to your supervisor, he asks you for the maximum speed that a car can have and be stopped by your device. Figure P7.41
In the Atwood machine discussed in Example 5.9 and shown in Figure 5.14a, m1 = 2.00 kg and m2 = 7.00 kg. The masses of the pulley and string are negligible by comparison. The pulley turns without friction, and the siring does not stretch. The lighter object is released with a sharp push that sets it into motion at i = 2.40 m/s downward. (a) How far will m1, descend below its initial level? (b) Find the velocity of m1 after 1.80 s.
When a paper towel is torn from a roll on a rack, a jerking motion tears the towel better than a slow pull. Why? Does this method work better when the roll is large or when it is small and near the end? Explain.
To determine the coefficients of friction between rubber and various surfaces, a student uses a rubber eraser and an incline. In one experiment, the eraser begins to slip down the incline when the angle of inclination is 36.0 and then moves down the incline with constant speed when the angle is reduced to 30.0. From these data, determine the coefficients of static and kinetic friction for this experiment.