College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A mass is sliding on a frictionless surface with a speed v. It runs into a linear X spring with a spring constant of k, which compresses from position x, to position xp. X; m m ©theexpertta.com Part (a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be x;=0. = - kx v Correct! Fspring Part (b) Select the equation that correctly describes the work done by the spring to stop the mass. W = - w = - kx dx v Correct! Part (c) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables. W = - ( 1/2 ) k x2| 8 9 HOME d 5 6. a h j 1 2 3 P END - Xf Xị VOI BACKSPACE CLEAR DEL I give up! Submit Hint Feedback Hints: 1 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. |-What is the integral of x dx? Part (d) Solve for the numerical value of the work done in Joules given that x; = 0, xp= 68 cm, and k = 145 N/m. W = -…arrow_forwardThe figure below shows an initially stationary block of mass m on a floor. A force of magnitude F = 0.510mg is then applied at upward angle 0 = 19°. (a) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are us = 0.590 and uk = 0.505? m/s? (b) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are ug = 0.395 and uk = 0.295? m/s2arrow_forwardA block of mass 5.40 kg is pushed up against a wall by a force P that makes an angle of = 50.0° angle with the horizontal as shown below. The coefficient of static friction between the block and the wall is 0.300. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (If there is no maximum, enter NONE in that answer blank.) P. maxl= IP A N X Your response differs from the correct answer by more than 10%. Double check your calculations. N P Pminh, = 92.32 (b) What happens if IP has a larger value than IP The block slides up the wall. The block does not slide along the wall. The block slides down the wall. |Pmaxl = P min! = What happens if IP has a smaller value than IP min!? The block slides up the wall. O The block does not slide along the wall. The block slides down the wall. (c) Repeat parts (a) and (b) assuming the force makes an angle of = 12.0° with the horizontal. Determine the possible values for the magnitude of P that allow the…arrow_forward
- An aluminum block is placed at rest on an inclined plane that is made of steel. Once released, the block remains at rest on the incline. The coefficients of static and kinetic friction between aluminum and steel are 0.61 and 0.47 respectively. The aluminum block has a mass of 3.45 kg and the incline makes an angle of 12.5° relative to the horizontal. What is the magnitude of the static frictional force between the block and incline?arrow_forwardTwo identical springs, A and B, each with spring constant k = 30.7 N/m, support an object with a weight W = 15 N. Each spring makes an angle of θ = 34.8 degrees to vertical, as shown in the diagram. (a) Write an expression for the tension in spring A (which is equal to the tension in spring B) in terms of W and θ. (b) By how much is spring A stretched, in meters?arrow_forwardAn ideal spring obeys Hooke’s law: F = −ikx.A mass of m = 0.8 kg hung vertically fromthis spring stretches the spring 0.13 m.The acceleration of gravity is 9.8 m/s2. Calculate the value of the force constant k. Answer in units of N/m.arrow_forward
- . A 25kg wooden plate is held in place by two strings attached to the ceiling and the wall. The string attached to the ceiling makes an angle 40° with the horizontal and the string attached to the wall makes 90° with the wall. Determine the force in each string.arrow_forwardA 52.5-kg sled is pulled across a horizontal icy surface as in the figure. The horizontal pulling force of magnitude P is directed opposite to a constant 35.0-N kinetic friction force. Starting from rest, the sled acquires a final speed of 2.25 m/s after being pulled a distance of 20.0 m. Two forces act on a sled that is on a horizontal surface. An arrow labeled vector fk extends from the left side of the sled and points left. An arrow labeled vector P extends from the right side of the sled and points right. The lengths of the arrows are approximately equal to each other. What is the magnitude P of the pulling force? N?arrow_forwardA 28.0-kg block is connected to an empty 2.26-kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.48 and the coefficient of kinetic friction between the table and the block is 0.25. Sand is gradually added to the bucket until the system just begins to move. Ignore the mass of the cord. Calculate the mass of sand added to the bucket. Express your answer to two significant figures and include the appropriate units. m= _______ units Calculate the acceleration of the system. Express your answer to two significant figures and include the appropriate units. a= _________ unitsarrow_forward
- In the figure, a 5.40 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal force F of magnitude 50.0 N acts on it. The coefficient of kinetic friction between block and plane is 0.340. What are the (a) magnitude and (b) direction (up or down the plane) of the block's acceleration? The block's initial speed is 4.40 m/s. (c) How far up the plane does the block go? (d) When it reaches its highest point, does it remain at rest or slide back down the plane? (a) Number i Units (b) (c) Number Units (d)arrow_forwardA force in the +x+x-direction with magnitude F(x)=18.0N−(0.530N/m)xF(x)=18.0N−(0.530N/m)x is applied to a 7.10 kgkg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x)F(x) is the only horizontal force on the box. 1. If the box is initially at rest at x=0x=0, what is its speed after it has traveled 14.0 mm ? Express your answer to three significant figures and include the appropriate units.arrow_forwardSystems are in equilibrium. If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline are frictionless. (Let m = 2.66 kg and ? = 29.0°.) scale in (a) N scale in (b) N scale in (c) N scale in (d) Narrow_forward
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