Problem 9: A horizontal force, F1 = 95 N, and a force, F2 = 19.7 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. Part (a) Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°. Part (b) Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.

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

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.)

A block having a mass of m = 13 kg is suspended via two cables as shown in the figure. The angles shown in the figure are as follows: α = 14° and β = 32°. We will label the tension in Cable 1 as T1 and the tension in Cable 2 as T2. a) Write an expression for the sum of forces in the x direction in terms of T1, T2, m, g, α, and β. Use the specified coordinate system.  b) Write an expression for the sum of forces in the y direction in terms of T1, T2, m, g, α, and β. Use the specified coordinate system.

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)?

Many physical properties, such as force and mass, cannot be measured directly. Rather, some other physical property is measured and the desired physical property is computed from the results. For example, a bathroom scale does not actually measure mass or "weight," but rather the compression distance of a spring. The numerical values on the scale are calibrated from the compression distance using basic physics principles such as Newton's second law. Coefficients of friction cannot be measured directly. In this problem, we are going to learn how we can indirectly measure the coefficient of kinetic friction between two surfaces by directly measuring the expansion of a spring. Consider a 5.45 kg5.45 kg block that is dragged by a spring on a (relatively) frictionless horizontal surface at constant velocity. Suppose the block reaches a rough patch and the spring stretches by 5.25 cm5.25 cm. Compute the coefficient of kinetic friction ?μ between the block and the rough patch if the spring…

Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.

A 781 N sprinter can push his feet back against the starting blocks with a force of 1852 N in the horizontal direction.  If the force is generated for 0.28 s, determine the horizontal velocity of the runner out of the blocks. Include magnitude and direction when reporting vectors.

A block of mass 4.6 kg is sliding down a ramp with an initial speed of 1.5 m/s. The ramp is inclined from the horizontal by an angle theta = 34.9 degrees and the coefficient of kinetic friction is  uk = 0.73. What is the magnitude of the displacement of the block along the ramp from the initial time until it stops?

A 2.30 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 5.92 N and a vertical force are then applied to the block (see the figure). The coefficients of friction for the block and surface are us = 0.4 and Uk = 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P is (a)7.00 N and (b)10.0 N. (The upward pull is insufficient to move the block vertically.) (a) Number i (b) Number i Units Units P € }