Problem 14 A 15 kg box is initially sliding across a frictionless floor with a constant speed of 2.5 m/s. Then, the box encounters a rough surface and travels for 12 meters before coming to a stop. What is the coefficient of kinetic friction between the box and rough surface?

GOAL Apply the concept of static friction to an object resting on an incline. PROBLEM Suppose a block with a mass of 2.50 kg is resting on a ramp. If the coefficient of static friction between the block and ramp is ng sin e 0.350, what maximum angle can the ramp make with the horizontal mg cos e e before the block starts to slip down? STRATEGY This is an application of Newton's second law involving an object in equilibrium. Choose tilted coordinates, as in the figure. Use the fact that the block is just about to slip when the force of static friction takes its maximum value, f. = 4n. SOLUTION Write Newton's laws for a static system (1) EF = mg sin e - u̟n = 0 in component form. The gravity force (2) EF = n - mg cos e = 0 has two components. Rearrange Equation (2) to get an n = mg cos 8 expression for the normal force n. Substitute the expression for n into EF, = mg sin 8 - H mgcos 0 = 0 → tan 8 =u. Equation (1) and solve for tan 0. Apply the inverse tangent function to get the answer.…

A stockroom worker pushes a box with mass 12.9 kg on a horizontal surface with a constant speed of 2.50 m/s. The coefficients of kinetic and static friction between the box and the surface are 0.340 and 0.470, respectively. For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Delivering the goods. F₂ = 43.0 N Submit ✓ Correct Part B Previous Answers a = If the worker stops pushing, what will be the acceleration of the box? Express your answer in meters per second squared. Assume that + direction coincides with the direction of velocity. ► View Available Hint(s) Submit VI ΑΣΦ Previous Answers wwww ? X Incorrect; Try Again; 3 attempts remaining Review | Constants m/s²

x Incorrect The force P is applied to the 30-kg block when it is at rest. Determine the magnitude and direction of the friction force exerted by the surface on the block if (a) P = 0, (b) P = 85 N, and (c) P = 131 N. (d) What value of P is required to initiate motion up the incline? The static and kinetic coefficients of friction between the block and the incline are us = 0.18 and µk = 0.12, respectively. The friction force is positive if up the incline, negative if down the incline. %3D P 30 kg 18° H, = 0.18 H = 0.12 12 Answers: (а) F 3D N (b) F (c) F = (d) P =

A 40 N box is resting on a table when a 20 N force is applied to it horizontally. The coefficients of static and kinetic friction are 0.3 and 0.1, respectively. Which of the following best describes the resulting motion of the box?    The motion of the box cannot be determined with the given information.      The box accelerates in the direction of the applied force.      The box remains at rest.      The box moves with a constant velocity in the direction of the applied force.

Q5

See attached

pls help not in scientific notation pls

In the figure, two blocks are connected over a pulley. The mass of block A is 5.80 kg and the coefficient of kinetic friction between A and the incline is 0.360. Angle e of the incline is 31.0°. Block A slides down the incline at constant speed. What is the mass of block B? Frictionless, massless pulley B. Number i Units

A1 kg cart is connected to a 2 kg cart. The 1 kg cart feels 9 N of friction and the 2 kg cart feels 18 N of friction. If you pull on the 2 kg cart with a force of 36 N to the right. what is the force of tension between the two carts?