Concept explainers
An aging coyote cannot run fast enough to catch a roadrunner. He purchases on eBay a set of jet-powered roller skates, which provide a constant horizontal acceleration of 15.0 m/s2 (Fig. P3.57). The coyote starts at rest 70.0 m from the edge of a cliff at the instant the roadrunner zips past in the direction of the cliff. (a) Determine the minimum constant speed the roadrunner must have to reach the cliff before the coyote. At the edge of the cliff, the roadrunner escapes by making a sudden turn, while the coyote continues straight ahead. The coyote’s skates remain horizontal and continue to operate while he is in flight, so his acceleration while in the air is
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Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
- A toy car starts at rest and accelerates up A 40゚ ramp with acceleration a=(t3)1/2. It then flies into the air, and lands back on the ground. If the height of the ramp is h=6m, What is the horizontal distance X?arrow_forwardA thief is trying to escape from a parking garage after completing a robbery, and the thief’s car is speeding (v = 11 m/s) toward the door of the parking garage (Fig. P2.60). When the thief is L = 14 m from the door a police officer flips a switch to close the garage door. The door starts at a height of 7 m and moves downward at 0.3 m/s. If the thief’s car is 1.4 m tall, will the thief escape? (Find the height of the door above the ground).arrow_forwardA 440g beanbag slides up a cornhole board (if you’ve never played cornhole before, the board is basically a ramp). The board is tilted 10.◦ from the hori- zontal. The beanbag initially is moving with a speed of 1.21 m/s directly up the ramp. It stops at a displacement 0.35m from where it was initially, and then slides back down 1. How does the magnitude of the acceleration of the bean bag on the wayup compare to the acceleration of the beanbag on the way down? Explainyour reasoning.2. What is the coefficient of friction between the bean bag and the ramp?3. What is the bean bag’s speed when it reaches its initial starting point onits way down?arrow_forward
- A rocket starts from rest and moves upward from What is the height of the rocket above the surface of the earth at t = 10.0 s? the surface of the earth. For the first 10.0 s of its motion, the vertical acceleration of the rocket is (2.80 m/s) t, where the +y- given by ay direction is upward. Express your answer with the appropriate units.arrow_forwardThe determined Wile E. Coyote is out once more to try to capture the elusive Road Runner of Loony Tunes fame. The coyote is strapped to a rocket, which provide a constant horizontal acceleration of 15.0 m/s2. The coyote starts off at rest 61.3 m from the edge of a cliff at the instant the roadrunner zips by in the direction of the cliff. If the roadrunner moves with constant speed, find the minimum speed the roadrunner must have to reach the cliff before the coyote.arrow_forwardWiley Coyote has missed the elusive road runner once again. This time, he leaves the edge of a 100-m high cliff with a horizontal velocity of 50.0 m/s. How long will it take Wiley Coyote to reach the bottom of the canyon?arrow_forward
- A person who is 1.6 m tall throws a ball with a speed of 3.4 m/s at an angle of 40 degrees above the horizontal. What are the x and y components of the velocity (in m/s) of the ball the instant before it strikes the ground? The acceleration due to gravity is 9.81 m/s2(Your answer must be accurate to at least 1%. Give your answer to at least three significant figures.) x-component: y-component:arrow_forwardThe bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 20 μm/s. The figure shows the trajectory of an E. coli as it moves from point A to point E. Each segment of the motion can be identified by two letters, such as segment BC. (Figure 1) Figure y (μm) 40 30 20 10- 0 -10- -20 -30 A -40 C E D B 10 20 30 40 50 60 70 80 90 100 1 of 1 x (μm) For the segment AB in the bacterium's trajectory, calculate the x and y components of its displacement. Express your answers in micrometers to two significant figures separated by a comma. ΨΕ ΑΣΦ XAB, YAB Submit = Part B Previous Answers Request Answer X Incorrect; Try Again; One attempt remaining ? um For the segment BC in the bacterium's trajectory, calculate the x and y components of its displacement. Express your answers in micrometers to two significant…arrow_forwardWiley Coyote has missed the elusive roadrunner once again. This time, he leaves the edge of the cliff at 50.0m/s horizontal velocity. If the canyon is 100 m deep, how far from the edge of the cliff does the coyote land?arrow_forward
- Steelhead trout migrate upriver to spawn. Occasionally they need to leap up small waterfalls to continue their journey. Fortunately, steelhead are remarkable jumpers, capable of leaving the water at a speed of 8.0 m/s. What is the maximum height that a steelhead can jump? Leaving the water vertically at 8.0 m/s a steelhead lands on the top of a waterfall 1.8 m high. How long is it in the air?arrow_forward2.70 You are on the roof of COAS, 46.0 m above the ground. Your physics professor, who is 1.80 m tall, is walking alongside the building at a constant speed of 1.20 m/s. If you wish to drop an egg on your professor's head (which I would never recommend actually doing!), where should the professor be when you release the egg? Assume the egg is in free fall. v = 1.20 m/s 1.80 m - 46.0 marrow_forwardyou wake up in a strange room, and this time you drop a ball from a height of 1.79 m above the floor. The ball hits the floor 0.242 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 61.1 m/s^2 30.6 m/s^2 45.9 m/s^2 91.7 m/s^2arrow_forward
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