College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 8, Problem 57PE
Derive the equation for the vertical acceleration of a rocket.
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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 8 Solutions
College Physics
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Ch. 8 - Momentum for a system can be conserved in one...Ch. 8 - Professional Application Explain in terms of...Ch. 8 - Can objects in a system have momentum while the...Ch. 8 - Must the total energy of a system be conserved...Ch. 8 - What is an elastic collision?Ch. 8 - What is an inelastic collision? What is a...Ch. 8 - Mixed-pair ice skaters performing in a show are...Ch. 8 - A Small pickup truck that has a caliper shell...Ch. 8 - Figure 8.16 shows a cube at rest and a small...Ch. 8 - Professional Application Suppose a fireworks shell...Ch. 8 - Professional Application During a visit to the...Ch. 8 - Professional Application It is possible for the...Ch. 8 - (a) Calculate the momentum of a 2000-kg elephant...Ch. 8 - (a) What is the mass of a large ship that has a...Ch. 8 - (a) At what speed would a 2.00104 -kg airplane...Ch. 8 - (a) What is the momentum of a garbage truck that...Ch. 8 - A runaway train car that has a mass of 15,000 kg...Ch. 8 - The mass of Earth is 5.9721024 kg and its orbital...Ch. 8 - A bullet is accelerated down the barrel of a gun...Ch. 8 - Professional Application A car moving at 10 m/s...Ch. 8 - A person slaps her leg with her hand, bringing her...Ch. 8 - Professional Application A professional boxer hits...Ch. 8 - Professional Application Suppose a child drives a...Ch. 8 - Professional Application One hazard of space...Ch. 8 - Professional Application A 75.0-kg person is...Ch. 8 - Professional Application Military rifles have a...Ch. 8 - A cruise ship with a mass of 1.00107 kg strikes a...Ch. 8 - Calculate the final speed of a 110-kg rugby player...Ch. 8 - Water from a fire hose is directed horizontally...Ch. 8 - A 0.450-kg hammer is moving horizontally at 7.00...Ch. 8 - Starting with the definitions of momentum and...Ch. 8 - A ball with an initial velocity of 10 m/s moves at...Ch. 8 - When serving a tennis ball, a player hits the ball...Ch. 8 - A punter drops a ball from rest vertically 1 meter...Ch. 8 - Professional Application Train cars are coupled...Ch. 8 - Suppose a clay model of a koala bear has a mass of...Ch. 8 - Professional Application Consider the following...Ch. 8 - What is the velocity of a 900-kg car initially...Ch. 8 - A 1.80-kg falcon catches a 0.650-kg dove from...Ch. 8 - Two identical objects (such as billiard balls)...Ch. 8 - Professional Application Two manned satellites...Ch. 8 - A 70.0-kg ice hockey goalie, originally at rest,...Ch. 8 - A 0.240-kg billiard ball that is moving at 3.00...Ch. 8 - During an ice show, a 60.0-kg skater leaps into...Ch. 8 - Professional Application Using mass and speed data...Ch. 8 - A battleship that is 6.00*10' kg and is originally...Ch. 8 - Professional Application Two manned satellites...Ch. 8 - Professional Application A 30,000-kg freight car...Ch. 8 - Professional Application Space probes may be...Ch. 8 - A 0.0250-kg bullet is accelerated from rest to a...Ch. 8 - Professional Application One of the waste products...Ch. 8 - Professional Application The Moon's craters are...Ch. 8 - Professional Application Two football players...Ch. 8 - What is the speed of a garbage truck that is...Ch. 8 - During a circus act, an elderly performer thrills...Ch. 8 - (a) During an ice skating performance, an...Ch. 8 - Two identical pucks collide on an air hockey...Ch. 8 - Confirm that the results of the example Example...Ch. 8 - A 3000-kg cannon is mounted so that it can recoil...Ch. 8 - Professional Application A 5.50-kg bowling ball...Ch. 8 - Professional Application Ernest Rutherford (the...Ch. 8 - Professional Application Two cars collide at an...Ch. 8 - Starting with equations m1v1=m1v1cos1+m2v2cos2 and...Ch. 8 - Integrated Concepts A 90.0-kg ice hockey player...Ch. 8 - Professional Application Antiballistic missiles...Ch. 8 - Professional Application What is the acceleration...Ch. 8 - Professional Application Calculate the increase in...Ch. 8 - Professional Application Ion-propulsion rockets...Ch. 8 - Derive the equation for the vertical acceleration...Ch. 8 - Professional Application (a) Calculate the maximum...Ch. 8 - Given the following data for a fire...Ch. 8 - How much of a single-stage rocket that is 100,000...Ch. 8 - Professional Application (a) A 5.00-kg squid...Ch. 8 - Unreasonable Results Squids have been reported to...Ch. 8 - Construct Your Own Problem Consider an astronaut...Ch. 8 - Construct Your Own Problem Consider an artillery...
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