A crate of mass m = 0.89 kg is on a frictionless incline that makes an angle of 0 = 27.7 degrees with horizontal. A force of magnitude P = 7.46 N is applied to the crate in a direction parallel and up the incline, as shown. Part (a) Write an expression for the acceleration a, of the crate, where positive x is up the incline. Your answer should be in terms of m, P, 0, and g |(9.80 m/s2). Part (b) What is the acceleration of the crate in m/s in the x-direction defined in part (a)? Part (c) What is the direction of the net force on the crate? Part (d) What is the direction of the velocity of the crate?

A crate of mass m = 0.89 kg is on a frictionless incline that makes an angle of 0 = 27.7 degrees with horizontal. A force of magnitude P = 7.46 N is applied to the crate in a direction parallel and up the incline, as shown. Part (a) Write an expression for the acceleration a, of the crate, where positive x is up the incline. Your answer should be in terms of m, P, 0, and g |(9.80 m/s2). Part (b) What is the acceleration of the crate in m/s in the x-direction defined in part (a)? Part (c) What is the direction of the net force on the crate? Part (d) What is the direction of the velocity of the crate?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 61P

See similar textbooks

Similar questions

In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?
the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?
an initially stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angle u=20.What is the magnitude of the acceleration of the block across the floor if the friction coefficients are (a) ms = 0.600 and mk = 0.500 and (b) ms =0.400 and mk = 0.300?
A block (mass = 200.00 g) is placed on an inclined plane 45 degrees from the horizontal. The coefficient of static and kinetic friction between the block and the plane are 0.54 and 0.35, respectively. What is the frictional force between the block and the plane?
A box with mass M = 13 kg sits on a flat surface and is attached by a massless rope hung over an ideal pulley to another box that is hanging vertically with mass m = 5.0 kg. If the coefficient of kinetic friction between the box and the surface is 0.22, what is the acceleration of the hanging mass?
A block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal. If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.
The coefficient of friction between a 33kg exercise mat and the gym floor are us = 0.41 and uk = 0.36. Q-Once the mat is moving, what magnitude of horizontal force will keep it moving at a constant velocity?
A mass m is being pushed by a horizontal force F of magnitude 209.0 N. The coefficient of kinetic friction between the two surfaces is 0.4. What is the magnitude of the acceleration of this mass as it gets to be pushed up the ramp?
Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?
Q 5)A force vector F =3i + 3j N is applied on 5 kg mass of body on nonfrictionless horizontal surface. The velocity function of body is v = t + 2 . find the following : 1) frictional force (fs ) 2) the coefficient of friction of surface (μ) . (answer fs =1.7 N , u =0.34)
Consider the three forces acting on the box. F1= 20.0N at an angle θ1= 45° measured from the horizontal F2= 5.00 N at an angle θ2= 60° and the weight W= 15.0 N, pulling directly down in the y- direction. What is the net force acting on a box?
A horse pulls a box of mass M = 55 kg across a rough horizontal surface by applying a horizontal force of 874 N.If the coefficient of kinetic friction between the box and the surface is μk = 0.5, what is the acceleration of thebox?