Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)
5th Edition
ISBN: 9780136781356
Author: Walker, JAMES
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 74GP
Predict/Calculate A cannon is placed at the bottom of a cliff 61.5 m high. If the cannon is fired straight upward, the cannonball just reaches the top of the cliff. (a) What is the initial speed of the cannonball? (b) Suppose a second cannon is placed at the top of the cliff. This cannon is fired horizontally, giving its cannonballs the same initial speed found in part (a). Show that the range of this cannon is the same as the maximum range of the cannon at the base of the cliff. (Assume the ground at the base of the cliff is level, though the result is valid even if the ground is not level.)
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A child's toy module rolls a marble through a pipe and then launches it into the air. An exasperated dad looking for the lost marbles all over the house asks you for help in calculating where the marble will fall and the size of the basket he should place there to be sure to catch the ball.
Constraints
The muzzle velocity and angle of fire depend on the construction the children make;The ball is fired from the ground and will land at ground level;The thickness of the basket itself is neglected.
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Create a model to calculate the distance from where the ball is shot to where the center of the basket would need to be to catch it, based on the speed and angle of the shot, as well as the uncertainty on these two parameters.
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The scopeContext
A child's toy module rolls a marble through a pipe and then launches it into the air. An exasperated dad looking for the lost marbles all over the house asks you for help in calculating where the marble will fall and the size of the basket he should place there to be sure to catch the ball.
Constraints
The muzzle velocity and angle of fire depend on the construction the children make;The ball is fired from the ground and will land at ground level;The thickness of the basket itself is neglected.We use a value of g=(9.81±0.01)m/s^2.
Modelization
Creates a model to calculate the distance from where the ball is shot to where the center of the basket would need to be to catch it, based on the speed and angle of the shot, and the uncertainty of these two parameters.
HINT for uncertainty: when the equation contains increasing and decreasing functions (such as sine and cosine, for example), it is necessary to proceed by trial and error to find the maximum and the minimum. A…
Chapter 4 Solutions
Modified Mastering Physics with Pearson eText -- Access Card -- for Physics (18-Weeks)
Ch. 4.1 - The equations of motion of an object are x = (1...Ch. 4.2 - A sailor drops a pair of binoculars from the crows...Ch. 4.3 - Two objects, A and B, are launched horizontally,...Ch. 4.4 - A projectile is launched and lands at the same...Ch. 4.5 - A baseball player throws a ball to another player...Ch. 4 - What is the acceleration of a projectile when it...Ch. 4 - A projectile is launched with an initial speed of...Ch. 4 - A projectile is launched from level ground. When...Ch. 4 - In a game of baseball a player hits a high fly...Ch. 4 - A projectile is launched with an initial velocity...
Ch. 4 - A projectile is launched from a level surface with...Ch. 4 - Do projectiles for which air resistance is...Ch. 4 - Two projectiles are launched from the same point...Ch. 4 - A child rides on a pony walking with constant...Ch. 4 - Driving down the highway, you find yourself behind...Ch. 4 - A projectile is launched from the origin of a...Ch. 4 - Predict/Explain As you walk briskly down the...Ch. 4 - A sailboat runs before the wind with a constant...Ch. 4 - As you walk to class with a constant speed of 1.75...Ch. 4 - Starting from rest, a car accelerates at 2.0 m/s2...Ch. 4 - Predict/Calculate A particle passes through the...Ch. 4 - A skateboarder travels on a horizontal surface...Ch. 4 - A hot-air balloon is drifting in level flight due...Ch. 4 - An electron in a cathode-ray tube is traveling...Ch. 4 - Two canoeists start paddling at the same time and...Ch. 4 - Predict/Explain Two divers run horizontally off...Ch. 4 - Predict/Explain Two youngsters dive off an...Ch. 4 - An archer shoots an arrow horizontally at a target...Ch. 4 - Victoria Falls The great, gray-green, greasy...Ch. 4 - A diver runs horizontally off the end of a diving...Ch. 4 - An astronaut on the planet Zircon tosses a rock...Ch. 4 - Predict/Calculate Pitchers Mounds Pitchers mounds...Ch. 4 - Playing shortstop, you pick up a ground ball and...Ch. 4 - Predict/Calculate A crow is flying horizontally...Ch. 4 - A mountain climber jumps a 2.8-m-wide crevasse by...Ch. 4 - Predict/Calculate A white-crowned sparrow flying...Ch. 4 - Pumpkin Toss In Denver, children bring their old...Ch. 4 - Fairgoers ride a Ferris wheel with a radius of...Ch. 4 - Predict/Calculate A swimmer runs horizontally off...Ch. 4 - Baseball and the Washington Monument On August 25,...Ch. 4 - A basketball is thrown horizontally with an...Ch. 4 - Predict/Calculate A ball rolls off a table and...Ch. 4 - A certain projectile is launched with an initial...Ch. 4 - Three projectiles (A, B, and C) are launched with...Ch. 4 - Three projectiles (A, B, and C) are launched with...Ch. 4 - A cannonball is launched at an angle above level...Ch. 4 - A second baseman tosses the ball to the first...Ch. 4 - A soccer ball is kicked with a speed of 15.6 m/s...Ch. 4 - In a game of basketball a forward makes a bounce...Ch. 4 - Predict/Calculate Snowballs are thrown with a...Ch. 4 - In Problem 34, find the direction of motion of the...Ch. 4 - A golfer gives a ball a maximum initial speed of...Ch. 4 - What is the highest tree the ball in the previous...Ch. 4 - The hang time of a punt is measured to be 4.50 s....Ch. 4 - In a friendly game of handball, you hit the ball...Ch. 4 - On a hot summer day a young girl swings on a rope...Ch. 4 - A certain projectile is launched with an initial...Ch. 4 - Punkin Chunkin In Dover, Delaware, a...Ch. 4 - A dolphin jumps with an initial velocity of 12.0...Ch. 4 - A player passes a basketball to another player who...Ch. 4 - A golf ball is struck with a five iron on level...Ch. 4 - Predict/Explain You throw a ball into the air with...Ch. 4 - A football quarterback shows off his skill by...Ch. 4 - A clever inventor has created a device that can...Ch. 4 - Predict/Calculate Volcanoes on lo Astronomers have...Ch. 4 - Predict/Calculate A soccer ball is kicked with an...Ch. 4 - A soccer ball is kicked with an initial speed of...Ch. 4 - An archer shoots an arrow over a castle wall by...Ch. 4 - CE Child 1 throws a snowball horizontally from the...Ch. 4 - CE The penguin to the left in the accompanying...Ch. 4 - CE Dolphins may leap from the water just for the...Ch. 4 - CE Predict/Explain A person flips a coin into the...Ch. 4 - CE Predict/Explain Suppose the elevator in the...Ch. 4 - A train moving with constant velocity travels 170...Ch. 4 - A tennis ball is struck in such a way that it...Ch. 4 - A person tosses a ball for her puppy to retrieve....Ch. 4 - An osprey flies horizontally with a constant speed...Ch. 4 - Predict/Calculate A hot-air balloon rises from the...Ch. 4 - In a friendly neighborhood squirt gun contest a...Ch. 4 - BIO Spitting Llamas An agitated llama may spit to...Ch. 4 - A particle leaves the origin with an initial...Ch. 4 - BIO When the dried-up seed pod of a scotch broom...Ch. 4 - Trick Shot In an Internet video an athlete...Ch. 4 - A shot-putter throws the shot with an initial...Ch. 4 - Two marbles are launched at t = 0 in the...Ch. 4 - Rescue Swimmers Coast Guard rescue swimmers are...Ch. 4 - A football player kicks a field goal, launching...Ch. 4 - A ball thrown straight upward returns to its...Ch. 4 - Predict/Calculate To decide who pays for lunch, a...Ch. 4 - Predict/Calculate A cannon is placed at the bottom...Ch. 4 - A golfer hits a shot to an elevated green. The...Ch. 4 - Shot Put Record A mens world record for the shot...Ch. 4 - Referring to Conceptual Example 4-13, suppose the...Ch. 4 - A Lob Pass Versus a Bullet A quarterback can throw...Ch. 4 - For summertime fun, you decide to combine diving...Ch. 4 - Landing on Mars When the twin exploration rovers,...Ch. 4 - Collision Course A useful rule of thumb in...Ch. 4 - As discussed in Example 4-14, the archerfish hunts...Ch. 4 - Find the launch angle for which the range and...Ch. 4 - A mountain climber jumps a crevasse of width W by...Ch. 4 - Landing on a Different Level A projectile fired...Ch. 4 - A mountain climber jumps a crevasse by leaping...Ch. 4 - Projectiles: Coming or Going? Most projectiles...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Caterpillar Pellets The larvae (caterpillars) of...Ch. 4 - Referring to Example 4-9 (a) At what launch angle...Ch. 4 - Referring to Example 4-9 Suppose that the golf...Ch. 4 - Referring to Example 4-11 Suppose the ball is...Ch. 4 - Predict/Calculate Referring to Example 4-11...
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