FUNDAMENTALS OF PHYSICS,AP ED.
11th Edition
ISBN: 9781119472780
Author: Halliday
Publisher: WILEY
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Chapter 2, Problem 85P
A mining cart is pulled up a hill at 20 km/h and then pulled back down the hill at 35 km/h through its original level. (The time required for the cart’s reversal at the top of its climb is negligible.) What is the average speed of the cart for its round trip, from its original level back to its original level?
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Part C
Find the height yi
from which the rock was launched.
Express your answer in meters to three significant figures.
Learning Goal:
To practice Problem-Solving Strategy 4.1 for projectile motion problems.
A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.
PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems
MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model.
VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ.
SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…
Phys 25
Chapter 2 Solutions
FUNDAMENTALS OF PHYSICS,AP ED.
Ch. 2 - Figure 2-16 gives the velocity of a particle...Ch. 2 - Figure 2-17 gives the acceleration at of a...Ch. 2 - Figure 2-18 shows four paths along which objects...Ch. 2 - Figure 2-19 is a graph of a particles position...Ch. 2 - Figure 2-20 gives the velocity of a particle...Ch. 2 - At t = 0, a particle moving along an x axis is at...Ch. 2 - Hanging over the railing of a bridge, you drop an...Ch. 2 - The following equations give the velocity vt of a...Ch. 2 - In Fig. 2-22, a cream tangerine is thrown directly...Ch. 2 - Suppose that a passenger intent on lunch during...
Ch. 2 - Figure 2-23 shows that a particle moving along an...Ch. 2 - While driving a car at 90 km/h, how far do you...Ch. 2 - Compute your average velocity in the following two...Ch. 2 - SSM WWW An automobile travels on a straight road...Ch. 2 - A car moves uphill at 40 km/h and then back...Ch. 2 - SSM The position of an object moving along an x...Ch. 2 - The 1992 world speed record for a bicycle...Ch. 2 - Two trains, each having a speed of 30 km/h, are...Ch. 2 - GO Panic escape. Figure 2-24 shows a general...Ch. 2 - ILW In 1 km races, runner 1 on track 1with time 2...Ch. 2 - To set a speed record in a measured straight-line...Ch. 2 - GO You are to drive 300 km to an interview. The...Ch. 2 - Traffic shock wave. An abrupt slowdown in...Ch. 2 - ILW You drive on Interstate 10 from San Antonio to...Ch. 2 - GO An electron moving along the x axis has a...Ch. 2 - GO a If a particles position is given by x = 4 ...Ch. 2 - The position function xt of a particle moving...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - The position of a particle moving along an x axis...Ch. 2 - SSM At a certain time a particle had a speed of 18...Ch. 2 - a If the position of a particle is given by x =...Ch. 2 - From t = 0 to t = 5.00 min, a man stands still,...Ch. 2 - The position of a particle moving along the x axis...Ch. 2 - SSM An electron with an initial velocity v0 = 1.50...Ch. 2 - Catapulting mushrooms. Certain mushrooms launch...Ch. 2 - An electric vehicle starts from rest and...Ch. 2 - A muon an elementary particle enters a region with...Ch. 2 - An electron has a constant acceleration of 3.2...Ch. 2 - On a dry road, a car with good tires may be able...Ch. 2 - ILW A certain elevator cab has a total run of 190...Ch. 2 - The brakes on your car can slow you at a rate of...Ch. 2 - SSM Suppose a rocket ship in deep space moves with...Ch. 2 - A worlds land speed record was set by Colonel...Ch. 2 - SSM ILW A car traveling 56.0 km/h is 24.0 m from a...Ch. 2 - GO In Fig. 2-27, a red car and a green car,...Ch. 2 - Figure 2-27 shows a red car and a green car that...Ch. 2 - A car moves along an x axis through a distance of...Ch. 2 - Figure 2-29 depicts the motion of a particle...Ch. 2 - a If the maximum acceleration that is tolerable...Ch. 2 - Cars A and B move in the same direction in...Ch. 2 - You are driving toward a traffic signal when it...Ch. 2 - GO As two trains move along a track, their...Ch. 2 - GO You are arguing over a cell phone while...Ch. 2 - GO When a high-speed passenger train traveling at...Ch. 2 - When startled, an armadillo will leap upward....Ch. 2 - SSM WWWa With what speed must a ball be thrown...Ch. 2 - Raindrops fall 1700 m from a cloud to the ground....Ch. 2 - SSMAt a construction site a pipe wrench struck the...Ch. 2 - A hoodlum throws a stone vertically downward with...Ch. 2 - SSM A hot-air balloon is ascending at the rate of...Ch. 2 - At time t = 0, apple 1 is dropped from a bridge...Ch. 2 - As a runaway scientific balloon ascends at 19.6...Ch. 2 - GO A bolt is dropped from a bridge under...Ch. 2 - SSM ILW A key falls from a bridge that is 45 m...Ch. 2 - GO A stone is dropped into a river from a bridge...Ch. 2 - SSM A ball of moist clay falls 15.0 m to the...Ch. 2 - GO Figure 2-35 shows the speed v versus height y...Ch. 2 - To test the quality of a tennis ball, you drop it...Ch. 2 - An object falls a distance h from rest. If it...Ch. 2 - Water drips from the nozzle of a shower onto the...Ch. 2 - GO A rock is thrown vertically upward from ground...Ch. 2 - GO A steel ball is dropped from a buildings roof...Ch. 2 - A basketball player grabbing a rebound jumps76.0...Ch. 2 - GO A drowsy cat spots a flowerpot that sails first...Ch. 2 - A ball is shot vertically upward from the surface...Ch. 2 - Figure 2-15a gives the acceleration of a...Ch. 2 - In a forward punch in karate, the fist begins at...Ch. 2 - When a soccer ball is kicked toward a player and...Ch. 2 - A salamander of the genus Hydromantes capturesprey...Ch. 2 - ILW How far does the runner whose velocitytime...Ch. 2 - Two particles move along an x axis. The position...Ch. 2 - In an arcade video game, a spot is programmed to...Ch. 2 - A rock is shot vertically upward from the edge of...Ch. 2 - GO At the instant the traffic light turns green,...Ch. 2 - A pilot flies horizontally at 1300 km/h, at height...Ch. 2 - GO To stop a car, first you require a certain...Ch. 2 - GO Figure 2-42 shows part of a street where...Ch. 2 - SSM A hot rod can accelerate from 0 to 60 km/h in...Ch. 2 - GO A red train traveling at 72 km/h and a green...Ch. 2 - GO At time t = 0, a rock climber accidentally...Ch. 2 - A train started from rest and moved with constant...Ch. 2 - SSM A particles acceleration along an x axis is a...Ch. 2 - Figure 2-44 gives the acceleration a versus time t...Ch. 2 - Figure 2-45 shows a simple device for measuring...Ch. 2 - A rocket-driven sled running on a straight, level...Ch. 2 - A mining cart is pulled up a hill at 20 km/h and...Ch. 2 - A motorcyclist who is moving along an x axis...Ch. 2 - SSM When the legal speed limit for the New York...Ch. 2 - A car moving with constant acceleration covered...Ch. 2 - SSM A certain juggler usually tosses balls...Ch. 2 - A particle starts from the origin at t = 0 and...Ch. 2 - A rock is dropped from a 100-m-high cliff. How...Ch. 2 - Two subway stops are separated by 1100 m. If a...Ch. 2 - A stone is thrown vertically upward. On its way up...Ch. 2 - A rock is dropped from rest from the top of a...Ch. 2 - SSM An iceboat has a constant velocity toward the...Ch. 2 - A lead ball is dropped in a lake from a diving...Ch. 2 - The single cable supporting an unoccupied...Ch. 2 - Two diamonds begin a free fall from rest from the...Ch. 2 - A ball is thrown vertically downward from the top...Ch. 2 - A parachutist bails out and freely falls 50 m....Ch. 2 - A ball is thrown down vertically with an initial...Ch. 2 - The sport with the fastest moving ball is jai...Ch. 2 - If a baseball pitcher throws a fastball at a...Ch. 2 - A proton moves along the x axis according to the...Ch. 2 - A motorcycle is moving at 30 m/s when the rider...Ch. 2 - A shuffleboard disk is accelerated at a constant...Ch. 2 - The head of a rattlesnake can accelerate at 50...Ch. 2 - A jumbo jet must reach a speed of 360 km/h on the...Ch. 2 - An automobile driver increases the speed at a...Ch. 2 - On average, an eye blink lasts about 100 ms. How...Ch. 2 - A certain sprinter has a top speed of 11.0 m/s. If...Ch. 2 - The speed of a bullet is measured to be 640 m/s as...Ch. 2 - The Zero Gravity Research Facility at the NASA...Ch. 2 - A car can be braked to a stop from the...Ch. 2 - In 1889, at Jubbulpore, India, a tug-of-war was...Ch. 2 - Most important in an investigation of an airplane...Ch. 2 - From January 26, 1977, to September 18, 1983,...Ch. 2 - The wings on a stonefly do not flap, and thus the...Ch. 2 - The position of a particle as it moves along a y...
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