In the figure, a crate of mass m = 83 kg is pushed at a constant speed up a frictionless ramp (0 = 32°) by a horizontal force F. The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of 7? (b) What is the magnitude of the normal force on the crate? (a) Number i (b) Number i Units Units

Four forces act on an object, given by  A = 40.3 N east,  B = 43.3 N north, C = 74.7 N west, D = 78.7 N south.  (Assume east and north are directed along the +x-axis and +y-axis,respectively.) (a) What is the magnitude of the net force (in N) on the object?   (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the +x-axis.)

A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 55 N and is directed to the left and up making an angle of 45 degrees with the vertical The force G is directed vertically down and H is directed to the right and up making an angle of 60 degrees with the vertical. Find the magnitude of the vectors G and H, giving your answers to one decimal place. The magnitude of G is N (to 1 d.p.) The magnitude of H is N (to 1 d.p.)

An object is moving to the west at a constant speed. Three forces are exerted on the object. One force is 10 N directed due north, and another is 10 N directed due west. What is the magnitude and direction of the third force if the object is to continue moving to the west at a constant speed?  a 10√3 N , directed southeast  b 10√2 N , directed southeast  c 10√2 N , directed northwest  d 10√3 N , directed northwest

If a 3kg box is moving down a ramp with ramp angle 15° and a friction coefficient μk of 0.4, what is the magnitude of the force of friction on the box (in N)?

In the figure, a crate of mass m = 99 kg is pushed at a constant speed up a frictionless ramp (0 = 30°) by a horizontal force . The positive direction of an x axis is up the ramp, and the positive direction of a y axis is perpendicular to the ramp. (a) What is the magnitude of F? (b) What is the magnitude of the normal force on the crate? (a) Number i (b) Number Units Units II ATTIT This answer has no units °(degrees) m kg

A crate is sitting on a horizontal surface where the coefficient of static friction is 0.60. A worker pushes horizontally on the crate, which has a mass of 45 kg. The crate does not move, and there are no other forces acting on it. Which of the following statements is true?       (a) The force of friction on the crate is mgμs.       (b) The force of friction on the crate is mgμk.       (c) The force of friction on the crate is greater than the force that the worker exerts on the crate.           (d) The force exerted on the worker by the crate is equal in magnitude to the force of friction exerted by the surface on the crate.

A sphere of mass 2.9 x 104 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 20° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord. (a) Number Units (b) Number i Units

Three forces act on a moving object. One force has a magnitude of 75.5 N and is directed due north. Another has a magnitude of 6 7.0 N and is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues to move with a constant velocity? Express your answer as a positive angle south of east. (a) Number i (b) Number i Units Units

A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.2 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are us = 0.38 and uk = 0.22. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 8.0 N. (b) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 10.0 N. (c) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 12.0 N.