Two wooden crates rest on top of one another. the smaller top crate has a mass of m1 = 25 kg and the larger bottom crate has a mass of m2 = 91 kg. there is no friction between the crate and the floor, but the coefficient of static friction between the two crates is µs = 0.79 and the coefficient of kinetic friction between the two crates is µk = 0.62. a massless rope is attached to the lower crate to pull it horizontally to the right (which should be considered the positive direction for this problem).1)the rope is pulled with a tension t = 234 n (which is small enough that the top crate will not slide). what is the acceleration of the small crate? 2)in the previous situation, what is the magnitude of the frictional force the lower crate exerts on the upper crate? 3)what is the maximum tension that the lower crate can be pulled at before the upper crate begins to slide? 4)the tension is increased in the rope to 1187 n causing the boxes to accelerate faster and the top box to begin sliding. what is the acceleration of the upper crate? m/s25)as the upper crate slides, what is the acceleration of the lower crate?

Use the table to answer question 22 23 and 24.

1134567 a jet with mass m = 1.1 ă— 105 kg jet accelerates down the runway for takeoff at 2 m/s2. 1) what is the net horizontal force on the airplane as it accelerates for takeoff? 2.2*10^5 n your submissions: 2.2*10^5 computed value: 220000submitted: saturday, january 26 at 2: 41 pm feedback: correct! 2) what is the net vertical force on the airplane as it accelerates for takeoff? 0 n your submissions: 0 computed value: 0submitted: saturday, january 26 at 2: 41 pm feedback: correct! 3) once off the ground, the plane climbs upward for 20 seconds. during this time, the vertical speed increases from zero to 21 m/s, while the horizontal speed increases from 80 m/s to 95 m/s. what is the net horizontal force on the airplane as it climbs upward? n 4) what is the net vertical force on the airplane as it climbs upward? n 5) after reaching cruising altitude, the plane levels off, keeping the horizontal speed constant, but smoothly reducing the vertical speed to zero, in 13 seconds. what is the net horizontal force on the airplane as it levels off? n 6) what is the net vertical force on the airplane as it levels off?

The second largest public utility in the nation is the sole provider of electricity in 32 counties of southern florida. to meet the monthly demand for electricity in these counties, which is given by the inverse demand function p = 1,200 – 4q, the utility company has set up two electric generating facilities: q1 kilowatts are produced at facility 1, and q2 kilowatts are produced at facility 2 (so q = q1 + q2). the costs of producing electricity at each facility are given by c1(q1) = 8,000 + 6q12 and c2(q2) = 6,000 + 3q22, respectively. determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profit