A child pulls on a wagon of mass 47 kg at an angle 33 degrees above the horizontal with a force of F. If the wagon accelerates at 3.7 m/s2 horizontally, what is the magnitude of the force F (in unit of N)? Assume there is coefficient of friction is 0.33, and please use g = 10 m/s2 to simplify computation.

A cord passing over a pulley connects two masses, as shown, where m, 3.70 kg and m₂ 6.50 kg. The system accelerates with a magnitude of 1.11 m/s². The coefficient of kinetic friction between the masses and the incline is the same for both masses. Assume the pulley is frictionless, and the cord is massless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) 35.0 (a) What is the coefficient of kinetic friction? (b) What is the tension (in N) in the cord?

A 3 kg body is connected via an inextensible cable to a 1 kg body. A 30 N force at 37 degrees to the horizontal surface is applied at the free end of the 3 kg body and the two bodies begin moving under the effect of the applied force. Find the tension in the rope, in N. Use g =10m/s2, sin 37 = 0.6 and cos 37 = 0.8. Round the answer to the first decimal.

In procedure 2, you found the coefficient of kinetic friction by measuring the acceleration of a cart under the influence of the combined forces of friction, normal force, gravity, and tension in string from which masses were hanging. Suppose you add more masses to the hanging weight, therefore increasing the tension and hence the acceleration for this system to double (2 x) its original value. How many times of the old value of the coefficient of kinetic friction will the new value be?

A block of mass M is suspended at rest by two strings attached to walls, as shown in the figure. The left string is horizontal with tension force T2 and and the right string with tension force T1 makes an angle θ with the horizontal. T1 is measured to be 24 N, and θ = 41.0°. What is the mass of the block, in kg? Use g = 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

Four forces act on an object, given by A = 39.3 N east, B = 38.3 N north, C = 88.7 N west, and D = 72.7 N south. (Assume east and north are directed along the +x-axis and +y-axis, respectively.) HINT (a) What is the magnitude of the net force (in N) on the object? N (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the +x-axis.) ° counterclockwise from the +x-axis

You drop an object of mass m from a tall building. Suppose the only forces affecting its motion are gravity, and air resistance proportional to the object's speed with positive constant of proportionality k. Let g denote gravitational acceleration (a positive constant). Express the total force in terms of m, g, and the object's velocity v, where upward displacement is considered positive. F = mg - kv Newton's second law tells us that force is equal to mass x acceleration, F = ma. Relating acceleration to velocity, rewrite the equation for total force above as a first order differential equation for v as a function of t. Denote v' as dv dt v(t) m(- dr) this is not an equation. Solve this differential equation for v(t) with the initial condition v(0) = V0. = mg (1-e ==) m k Find the terminal Terminal velocity = mg k X velocity. X syntax error: X X

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

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.)