he force diagram below shows a box accelerating to the right on a horizontal surface of negligible friction.   The tension T is exerted at an angle of 30˚ above the horizontal.  If μ is the coefficient of kinetic friction between the box and the surface, which of the following is a correct mathematical equation derived by applying Newton’s second law to the box?  a a = (Tcos(θ) - μMg)/M  b a = (Tsin(θ) - μMg)/M  c a = (Tcos(θ) - μ(Mg - Tsin(θ))/M  d a = (Tcos(θ) - μ(Mg + Tsin(θ))/M

A 1,380-N crate is being pushed across a level floor at a constant speed by a force F of 320 N at an angle of 20.0° below the horizontal, as shown in the figure a below. a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.)(b) If the 320-N force is instead pulling the block at an angle of 20.0° above the horizontal, as shown in the figure b, what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a).m/s2

A sled weighing 53.5 N is pulled horizontally across snow so that the coefficient of kinetic friction between sled and snow is 0.100. A penguin weighing 70.5 N rides on the sled, as in the figure below. If the coefficient of static friction between penguin and sled is 0.700, find the maximum horizontal force that can be exerted on the sled before the penguin begins to slide off.

Problem 3: A 38.8-kg crate is being pushed at a constant speed by a force of 311 N at an angle of 29 degrees below the horizontal, as shown. Part (a) What is the coefficient of kinetic friction between the crate and the floor? Numeric : A numeric value is expected and not an expression. Uk = Part (b) If the force is pulling at 29 degrees above the horizontal instead of below, as shown, what is the acceleration of the crate in m/s2, assuming the coefficient of friction is the same as in the previous part? Numeric : A numeric value is expected and not an expression. a =

Three cables are used to tie the balloon shown in Figure. Determine the magnitude of the vertical force (P) exerted by the balloon at A, knowing that the tension in cable AD is 1.099 N. y1 = 4.3 m y2 = 2.2 m x1 = 4.4 m x2 = 3.1 m z = 5.8 m

Block A (mass ma) rests on a tabletop. It is connected by a horizontal cord passing over a light, frictionless pulley to a hanging block B (mass mg). The kinetic friction between Block A and the tabletop is f. The block are released from rest. Which of the followings is the correct Free Body Diagram of block B? mag mag mag mag B B B a a mal mg mg Fig. A Fig. B Fig. C Fig. D Fig. E Figure B Figure E Figure A Figure C Figure D

Blocks A and B each have a mass m = 15 kg. The coefficient of static friction between A and B is μg = 0.28. The angle shown is 0 = 47°. Neglect any friction between B and C. A B P C Determine the largest horizontal force P that can be applied so that A will not slip on B. P= number (rtol=0.05, atol=1e-08) N

For Problems 1 and 2, use the following formula to describe the magnitude of a drag force: 1 D = — -CA pv² 2 FD Problem 1: When a car is traveling at a speed of 30 km/h, it experiences a drag force of magnitude F. If the car increases its speed to 40 km/h, what then will be the drag force it experiences? Assume the drag force is proportional to the square of speed.