A horizontal force, F1 = 75 N, and a force, F2 = 12.5 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°.  solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.

You are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of friction of 0.45 and a kinetic coefficient of friction of 0.38. The floor is horizontal, and the crate has a mass of 25.0 kg, and is initially at rest. You are pushing with a horizontal force of 155 N. What is the magnitude of the force of friction in this case? Give your answer in units of N, to three significant figures.

Two packages at UPS start sliding down the 20° ramp shown in the figure. Package A has a mass of 4.50 kg and a coefficient of kinetic friction of 0.190. Package B has a mass of 9.00 kg and a coefficient of kinetic friction of 0.170. (Figure 1) You may want to review (Page 159). For help with math skills, you may want to review: Vector Components Figure 2 m 20° A B 1 of 1

A force P= 696 KN whose line of action passes through points A(3, 2, 1) and B(7, 7, 10). Determine the y-component of force P in kN. Write the numerical value only and in 2 decimal places.

You managed to pull a heavy crate up a ramp on a truck. The crate has mass 45 kg. You were pulling with 478 N of force along the ramp while the ramp made an angle of theta=25.5 degrees with the horizontal. The coefficient of kinetic friction between the crate and the ramp is 0.47. What is the acceleration of the crate along the ramp?

Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 18.0 N. Match the answers with questions. (Hint: Clearly draw the force vector and displacement vector for all cases.) What is the angle between the tension force vector and the displacement vector? A. 90° v What is the angle between the friction force vector and the displacement vector? B. none of the given v What is the angle between the normal force vector and the displacement vector? C. 60° D. 150° Е. 0° F. 210° G. 180° Н. 30°

In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture. The tire remains stationary in spite of the three pulls. Alex pulls with force FA of magnitude 222 N, and Charles pulls with force F c of magnitude 175 N. Note that the direction of F c is not given. What is the magnitude of Betty's force F B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium? Alex Charles 153° Betty (a) Number i Units (b) Number i Units

Three forces act on a moving object. One force has a magnitude of 75.0 N and is directed due north. Another has a magnitude of 54.6 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 Units Units

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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.)