CP An oil tanker’s engines have broken down, and the wind is blowing the tanker straight toward a reef at a constant speed of 1.5 m/s ( Fig. P4.34 ). When the tanker is 500 m from the reef, the wind dies down just as the engineer gets the engines going again. The rudder is stuck, so the only choice is to try to accelerate straight backward away from the reef. The mass of the tanker and cargo is 3.6 × 10 7 kg, and the engines produce a net horizontal force of 8.0 × 10 4 N on the tanker. Will the ship hit the reef? If it does, will the oil be safe? The hull can withstand an impact at a speed of 0.2 m/s or less. Ignore the retarding force of the water on the tanker’s hull.
CP An oil tanker’s engines have broken down, and the wind is blowing the tanker straight toward a reef at a constant speed of 1.5 m/s ( Fig. P4.34 ). When the tanker is 500 m from the reef, the wind dies down just as the engineer gets the engines going again. The rudder is stuck, so the only choice is to try to accelerate straight backward away from the reef. The mass of the tanker and cargo is 3.6 × 10 7 kg, and the engines produce a net horizontal force of 8.0 × 10 4 N on the tanker. Will the ship hit the reef? If it does, will the oil be safe? The hull can withstand an impact at a speed of 0.2 m/s or less. Ignore the retarding force of the water on the tanker’s hull.
CP An oil tanker’s engines have broken down, and the wind is blowing the tanker straight toward a reef at a constant speed of 1.5 m/s (Fig. P4.34). When the tanker is 500 m from the reef, the wind dies down just as the engineer gets the engines going again. The rudder is stuck, so the only choice is to try to accelerate straight backward away from the reef. The mass of the tanker and cargo is 3.6 × 107 kg, and the engines produce a net horizontal force of 8.0 × 104 N on the tanker. Will the ship hit the reef? If it does, will the oil be safe? The hull can withstand an impact at a speed of 0.2 m/s or less. Ignore the retarding force of the water on the tanker’s hull.
Two skydivers are holding on to each other while falling straight down at a common terminal speed of 53.50 m/s. Suddenly they push away from each other. Immediately after separation the first skydiver who has a mass of 83.80 kg has the following velocity components ( with straight down corresponding to the positive z axis). V1x= 5.430 m/s v1y= 4.750 m/s v1z= 53.50m/s. What are the x and y components of the velocity of the second skydiver whose mass is 63.20 kg immediately after separation. What is the change in kinetic energy of the system?
Consider a rock thrown off a bridge of height 73.4 m at an angle θ = 25° with respect to the horizontal as shown in Figure P4.20. The initial speed of the rock is 10.9 m/s. Find the following quantities:
(a) the maximum height reached by the rock
(b) the time it takes the rock to reach its maximum height
(c) the time at which the rock lands
(d) how far horizontally from the bridge the rock lands
(e) the velocity of the rock (magnitude and direction) just before it lands.
magnitude
(f) direction: Give your answer in degrees. If you think the answer is "20 degrees down from the positive x-axis", you would enter "-20" (note the negative sign!)
Explain why
a) a horse cannot pull a cart and run in empty space,
b) passengers are thrown forward from their seats when a speeding bus stops suddenly,
c) it is easier to pull a lawn mower than to push it,
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Essential University Physics: Volume 1 (3rd Edition)
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