A rope with a constant tension T = 150.0 N pulls a 20.0 kg box across a horizontal floor. The rope makes an angle of 25.0 degrees above the horizontal. The coefficient of kinetic friction between the box and the floor is µk=0.150. a) Draw a free body diagram of the box, showing all forces acting on it. b) Apply Newton's 2nd law to find the acceleration of the box, in m/s?.

A rope with a constant tension T = 150.0 N pulls a 20.0 kg box across a horizontal floor. The rope makes an angle of 25.0 degrees above the horizontal. The coefficient of kinetic friction between the box and the floor is µk=0.150. a) Draw a free body diagram of the box, showing all forces acting on it. b) Apply Newton's 2nd law to find the acceleration of the box, in m/s?.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A. A 200 kg block slides along a ramp with an angle of inclination 0 = 38°. The coefficient of friction between the block and ramp is 0.14. What is the acceleration of the block? a = gsine - ugcose B. If there is no friction between the block and the ramp, meaning the coefficient of friction between the block and the ramp is 0, What is the acceleration of the block in this case?
Two blocks connected by a rope of negligible mass are being dragged by a force at a 21° angle above horizontal (see figure below). Suppose F = 117.0 N, m, = 10.0 kg, m, = 26.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.136. Use g=9.8 m/s?. T m2 (b) Determine the acceleration of the system. m/s2 (c) Determine the tension T in the rope. N
A.) An 85.0 kg subject is strapped into a 1950's rocket sled. Upon firing the rocket sled's acceleration is a constant 5.00 m/s2. Find the force the subject experiences during this acceleration B.) The rocket sled (from above) is braked to a complete stop from v = 5.0 m/s in 3.0 s. What is the force on the subject? Express this force in "g's"
Two boxes of fruit on a frictionless horizontal surface are connected by a light string , where m1 = 15 kg and m2 = 17 kg. A force of 58 N is applied to the 17 kg box.Repeat the problem for the case where the coefficient of kinetic friction between each box and the surface is 0.09.a) find the accelerationb) find the tension in the string
Martha is pushing a 35 kg chair across the floor. The coefficients of friction between the chair and floor are ? s = 0.70 and ? k = 0.40. a. How hard does she need to push horizontally to just start the chair moving? b. If she applies this same force once it is moving, then what is the resulting acceleration? Draw the free-body diagram for this situation.
A 75 kg skier was pushed up a slope of 21.0 degrees west with an inititial velocity of 4.0 m/s. After the inital push, it is not pushed further with the up-slope force. The kinetic coefficient of friction between the skis and the snow is 0.14 and the static coefficient is 0.19. a) What is the acceleration (deceleration) of the skier after the push? b) If his initial velocity was 4.0 m/s, how far up the slope will he move before he stops?
Box A, weighting 60 N, is placed on a table tilted at angle of 15˚. Another box, B, weighing 40N, is placed on top of A. Both boxes are at rest.A) Draw the free-body diagram for box B. What is the frictional force exerted on A by B? B) Draw the free-body diagram for box A. What is the frictional force exerted on A by the table?
A crate is moving as shown is slowed down by a pushing force P. The force P has a horizontal component of 200 newtons to the left and a vertical component 300 newtons down. The mass of the crate is 90 kgs and the coefficient of kinetic friction is 0.2 and static friction is 0.4. V P What is the magnitude of the acceleration of the crate? Answer in m/s². Use g = 10 m/s². Don't guess! Use the free body diagram method.
A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a. a. Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g. b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity. c. If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons? d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?
An elevator loaded with tourists has a mass of 1750 kg. a.) The elevator accelerates upward (in the positive direction) from rest at a rate of 1.55 m/s2 for 2.3 s. Calculate the tension in the cable supporting the elevator in newtons b.) The elevator continues upward at constant velocity for 8.5 s. What is the tension in the cable, in Newtons, during this time? The elevator experiences a negative acceleration at a rate of 0.65 m/s2 for 2.6 s. What is the tension in the cable, in Newtons, during this period of negative accleration? c.) How far, in meters, has the elevator moved above its original starting point?
An object of mass m is at rest on a smooth horizontal surface. It is pulled by a variable force F = kt, where t is the time. The force makes and angle a with the horizontal. a) find an expression for the speed of the object when it starts to lift-off the surface. b) find an expression for the distance travelled until it starts to lift-off the surface.
Bran is pushing Amira in a sled. The combined mass of the sled and Amira is 40.0 kg. There is a coefficient of kinetic friction between the led and the snow of 0.205. Bran applies a 160 N pushing force at 30.0° below the horizontal. What is Amira's acceleration? (Give your answer in m/s2.)