A 372-kg boat is sailing 15.0° north of east at a speed of 1.60 m/s. 34.0 s later, it is sailing 36.0° north of east at a speed of 3.90 m/s. During this time, three forces act on the boat: a 32.9-N force directed 15.0° north of east (due to an auxiliary engine), a 23.6-N force directed 15.0° south of west (resistance due to the water), and F (due to the wind). Find the (a) the magnitude and (b) direction of the force F. Express the direction as an angle with respect to due east.

What’s the correct answer for this please ?

A 3590-lb car travels up the 7-percent incline shown. The car is subjected to a 45-lb aerodynamic drag force and a 38-lb force due to all other factors such as rolling resistance. Determine the power output required at a speed of 65 mi/hr if (a) the speed is constant and (b) the speed is increasing at the rate of 0.08g. 65 mi/hr V = 7 100 Answers: hp (a) Constant speed: P = (b) Increase in speed is 0.08g: P= i hp

. An object of mass 12 kg is suspended from a pulley which has a mass of 6 kg and a radius of rotation of 0.25 m. If at that time the pulley rotates with an angular velocity of 5 rad/s, we want to know that when the object moves down a distance of 2 m, then at what speed is the pulley rotating? If the friction force on the pulley bearing produces a moment of resistance of 2 N-m 12 kg 0.3 m

A 5-kg small ball is doing circular motion in horizontal plane connected by two strings A and B tothe vertical wall, as shown in Figure 4. Given the speed of the ball 3.5 m/s at the location shown,determine the tensions, TA and TB, in the two strings.

A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient of 8 degrees from the horizontal. During this motion, the vehicle experiences a rolling resistance to its motion of 880 N. Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 140 m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 880N, this being in addition to the retarding force applied by the brakes. Calculate for the vehicle whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. Its decrease in kinetic energy.

During an Olympic 100-m sprint race, Usain Bolt, the world record holder in that race, quickly accelerates to his top speed of 12.4 m/s. Analysis of his technique has shown that each of his feet make contact with the ground for 0.0800 s, exerting a force of magnitude 2.80 x 10° N during this contact. This allows the 94.0 kg Bolt to leap forward and remain airborne for 0.120 s until the next foot touches the ground. (Ignore air resistance.) (a) What are the magnitudes of the horizontal and vertical components of the force (in N) Bolt's feet exert on the ground? (Round your answers to at least three significant figures.) horizontal N vertical (b) Assuming that the sprinter accelerates at a constant rate while his feet are in contact with the ground and does not slow down when he is airborne, by what amount does Bolt's horizontal speed (in m/s) increase with each step? (Round your answer to at least three significant figures.) m/s (c) Assuming that the sprinter's speed increases at a…

A space traveler weighs 800 N on earth. A planet having a mass of 5(10^25) kg and a diameter of 30(10^6) m orbits a distant star. Determine the weight W of the traveler on the surface of this planet.

A 79-kg woman holds a 7-kg package as she stands within an elevator which briefly accelerates upward at a rate of 0.27g. Determine the force R which the elevator floor exerts on her feet and the lifting force L which she exerts on the package during the acceleration interval. If the elevator support cables suddenly and completely fail, what values would R and Lacquire? 7kg 0.27g 79kg Answers: While accelerating, R = i N L= i N After the cables fail, R= i N L= N

Two objects m1 = 5.15 kg and m2 = 2.95 kg)are connected by a light string passing over a light, frictionless pulley as in the figure below. The 5.15-kg object is released from rest at a point h = 4.00 m above the table. (a) Determine the speed of each object when the two pass each other. m/s(b) Determine the speed of each object at the moment the 5.15-kg object hits the table. m/s(c) How much higher does the 2.95-kg object travel after the 5.15-kg object hits the table? m