Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 4.4, Problem 4.3GI
A popular children’s book explains the weightlessness astronauts experience by saying there’s no gravity in space. If there were no gravity in space, what would be the motion of a space shuttle, a satellite, or, the Moon? (a) a circular orbit; (b) an elliptical orbit; (c) a straight line
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Problems:
1. A stone is thrown near the surface of a planet and its horizontal and vertical position
as a function of time are given as
x(t) = 5+8t (horizontal)
y(t) = 3+ 12t – 8t2 (vertical)
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Calculate the magnitude of surface gravitational acceleration of this
planet in units of m/s.
Calculate the time when the stone is at its maximum height.
Calculate the velocity vector at t=1.125s.
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You may have an image of Sir Isaac Newton sitting under a tree and after being hit on the head by an apple he suddenly "discovered" the Law of Universal Gravitation. In fact, the theory was a result of years’ worth of research, which in turn was based on centuries of accumulated knowledge. He is credited with determining that the following relationship is universal. The gravitational attraction between two objects varies jointly with their masses (m1 and m2) and inversely with the square of the distance (d) between them. By what percent does the force of gravitational attraction change if one mass is increased by 20%, the other mass decreased by 20%, and the separation is reduced by 25%?
Suppose the magnitude of the gravitational force between two spherical objects is 2000 N when they are 100 km apart. What is the magnitude of the gravitational force Fg between the objects if the distance between them is 150 km ?
Express your answer in newtons to three significant figures.
Chapter 4 Solutions
Essential University Physics
Ch. 4.2 - A curved barrier lies on a horizontal tabletop, as...Ch. 4.2 - A nonzero net force acts on an object. Which of...Ch. 4.4 - A popular childrens book explains the...Ch. 4.5 - For each of the following situations, would the...Ch. 4.6 - The figure shows two blocks with two forces acting...Ch. 4.6 - (1) Would the answer to (a) in Example 4.5 change...Ch. 4 - Distinguish the Aristotelian and Galilean/New...Ch. 4 - A ball bounces off a wall with the same speed it...Ch. 4 - We often use the term inertia to describe human...Ch. 4 - Does a body necessarily move in the direction of...
Ch. 4 - A truck crashes into a stalled car. A student...Ch. 4 - A barefoot astronaut kicks a ball, hard, across a...Ch. 4 - In paddling a canoe, you push water backward with...Ch. 4 - Is it possible for a nonzero net force to act on...Ch. 4 - As your plane accelerates down the runway, you...Ch. 4 - A driver tells passengers to buckle their...Ch. 4 - Section 4.2 Newtons First and Second Laws A subway...Ch. 4 - Prob. 12ECh. 4 - A small plane accelerates down the runway at 7.2...Ch. 4 - A car leaves the road traveling at 110 km/h and...Ch. 4 - Kinesin is a motor protein responsible for moving...Ch. 4 - Starting from rest and undergoing constant...Ch. 4 - In an egg-dropping contest, a student encases an...Ch. 4 - In a front-end collision, a 1300-kg car with...Ch. 4 - Show that the units of acceleration can be written...Ch. 4 - Your spaceship crashes on one of the Suns planets....Ch. 4 - Your friend can barely lift a 35-kg concrete block...Ch. 4 - A cereal box says net weight 340 grams. Whats the...Ch. 4 - Youre a safely engineer for a bridge spanning the...Ch. 4 - The gravitational acceleration at the...Ch. 4 - A 50-kg parachutist descends at a steady 40 km/h....Ch. 4 - A 930-kg motorboat accelerates away from a dock at...Ch. 4 - An elevator accelerates downward at 2.4 m/s2. What...Ch. 4 - At 560 metric tons, the Airbus A-380 is the worlds...Ch. 4 - Find an expression for the thrust (force) of a...Ch. 4 - You slop into an elevator, and it accelerates to a...Ch. 4 - What upward gravitational force does a 5600-kg...Ch. 4 - Your friends mass is 65 kg. If she jumps off a...Ch. 4 - What force is necessary to stretch a spring 48 cm,...Ch. 4 - A 35-N force is applied to a spring with spring...Ch. 4 - A spring with spring constant k = 340 N/m is used...Ch. 4 - Prob. 36ECh. 4 - Prob. 37ECh. 4 - Prob. 38ECh. 4 - Prob. 39ECh. 4 - Prob. 40ECh. 4 - Prob. 41ECh. 4 - Example 4.3: In the 2015 film The Martian, actor...Ch. 4 - Prob. 43ECh. 4 - A 166-g hockey puck is gliding across the ice at...Ch. 4 - An airplane encounters sudden turbulence, and you...Ch. 4 - A 74-kg tree surgeon rides a cherry picker lift to...Ch. 4 - A dancer executes a vertical jump during which the...Ch. 4 - Find expressions for the force needed to bring an...Ch. 4 - An elevator moves upward at 5.2 m/s. Whats its...Ch. 4 - A 2.50-kg object is moving along the x-axis at...Ch. 4 - Blocks of 1.0, 2.0, and 3.0 kg are lined up on a...Ch. 4 - A child pulls an 11-kg wagon with a horizontal...Ch. 4 - Biophysicists use an arrangement of laser beams...Ch. 4 - A force F is applied to a spring of spring...Ch. 4 - A 22(M)-kg airplane pulls two gliders, the first...Ch. 4 - A biologist is studying the growth of rats on the...Ch. 4 - A small car, with mass 945 kg, is stuck on...Ch. 4 - A 2.0-kg mass and a 3.0-kg mass are on a...Ch. 4 - Youre an automotive engineer designing the crumple...Ch. 4 - Frogs tongues dart out to catch insects, with...Ch. 4 - Two large crates, with masses 640 kg and 490 kg,...Ch. 4 - Your engineering firm is asked to specify the...Ch. 4 - With its fuel tanks half full, an F-35A jet...Ch. 4 - Two springs have the same unstretched length but...Ch. 4 - Although we usually write Newtons second law for...Ch. 4 - A railroad car is being pulled beneath a grain...Ch. 4 - A block 20% more massive than you hangs from a...Ch. 4 - Figure 4.27 shows vertical accelerometer data from...Ch. 4 - A hockey stick is in contact with a 165-g puck for...Ch. 4 - After parachuting through the Martian atmosphere,...Ch. 4 - Your airplane is caught in a brief, violent...Ch. 4 -
A hot-air balloon and its basket are accelerating...Ch. 4 - Two masses are joined by a massless string. A 30-N...Ch. 4 - A mass M hangs from a uniform rope of length L and...Ch. 4 - Jerk is the rate of change of acceleration, and...Ch. 4 - Laptop computers are equipped with accelerometers...Ch. 4 - Laptop computers are equipped with accelerometers...Ch. 4 - Laptop computers are equipped with accelerometers...Ch. 4 - Laptop computers are equipped with accelerometers...
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What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY