Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 2, Problem 35E
To determine
The maximum height from which the drone can drop the package.
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Part A:
kg
(a) Water at 20 °C (p = 998.3 and v = 1 × 10-6 m²/s) flows through a galvanised
m³
iron pipe (k = 0.15 mm) with a diameter of 25 mm, entering the room at point A and
discharging at point C from the fully opened gate valve B at a volumetric flow rate of
0.003 m³/s. Determine the required pressure at A, considering all the losses that occur
in the system described in Figure Q1. Loss coefficients for pipe fittings have been
provided in Table 1.
[25 marks]
(b) Due to corrosion within the pipe, the average flow velocity at C is observed to be
V2 m/s after 10 years of operation whilst the pressure at A remains the same as
determined in (a). Determine the average annual rate of growth of k within the pipe.
[15 marks]
4₁
Figure Q1. Pipe system
Page 2
25 mm
For an independent study project, you design an experiment to measure the speed of light. You propose to bounce laser light off a mirror that is 53.5 km due east and have it detected by a light sensor that is 119 m due south of the laser. The first problem is to orient the mirror so that the laser light reflects off the mirror and into the light sensor.
(a) Determine the angle that the normal to the mirror should make with respect to due west.(b) Since you can read your protractor only so accurately, the mirror is slightly misaligned and the actual angle between the normal to the mirror and due west exceeds the desired amount by 0.003°. Determine how far south you need to move the light sensor in order to detect the reflected laser light.
A mirror hangs 1.67 m above the floor on a vertical wall. A ray of sunlight, reflected off the mirror, forms a spot on the floor 1.41 m from the wall. Later in the day, the spot has moved to a point 2.50 m from the
wall.
(a) What is the change in the angle of elevation of the Sun, between the two observations?
Chapter 2 Solutions
Essential University Physics
Ch. 2.1 - We just described three trips from Houston to Des...Ch. 2.2 - The figures show position-versus-time graphs for...Ch. 2.3 - An elevator is going up at constant speed, slows...Ch. 2.5 - Standing on a roof, you simultaneously throw one...Ch. 2.6 - The graph shows acceleration versus time for three...Ch. 2 - Under what conditions are average and...Ch. 2 - Does a speedometer measure speed or velocity?Ch. 2 - You check your odometer at the beginning of a days...Ch. 2 - Consider two possible definitions of average...Ch. 2 - Is it possible to be at position x = 0 and still...
Ch. 2 - Is it possible to have zero velocity and still be...Ch. 2 - If you know the initial velocity v0 and the...Ch. 2 - In which of the velocity-versus-time graphs shown...Ch. 2 - If you travel in a straight line at 50 km/h for 1...Ch. 2 - If you travel in a straight line at 50 km/h for 50...Ch. 2 - In 2009, Usain Bolt of Jamaica set a world record...Ch. 2 - Earth’s diameter is approximately 8000 miles....Ch. 2 - Starting front home, you bicycle 24 km north in...Ch. 2 - The Voyager 1 spacecraft is expected to continue...Ch. 2 - Prob. 15ECh. 2 - Whats the conversion factor from meters per second...Ch. 2 - On a single graph, plot distance versus time for...Ch. 2 - For the motion plotted in Fig. 2.15, estimate (a)...Ch. 2 - A model rocket is launched straight upward. Its...Ch. 2 - You’re driving at the 50 km/h speed limit when you...Ch. 2 - Starting from rest, a subway train first...Ch. 2 - Prob. 22ECh. 2 - An egg drops from a second-story window, taking...Ch. 2 - An airplanes takeoff speed is 320 km/h. If its...Ch. 2 - ThrustSSC, the worlds first supersonic car,...Ch. 2 - Youre driving at 70 km/h when you apply constant...Ch. 2 - Prob. 27ECh. 2 - Prob. 28ECh. 2 - Prob. 29ECh. 2 - Starting from rest, a car accelerates at a...Ch. 2 - A car moving initially at 50 mi/h begins slowing...Ch. 2 - In a medical X-ray tube, electrons are accelerated...Ch. 2 - Californias Bay Area Rapid Transit System (BART)...Ch. 2 - Youre driving at speed v0 when you spot a...Ch. 2 - Prob. 35ECh. 2 - Your friend is sitting 6.5 m above you on a tree...Ch. 2 - A model rocket leaves the ground, heading straight...Ch. 2 - A foul ball leaves the bat going straight up at 23...Ch. 2 - A Frisbee is lodged in a tree 6.5 m above the...Ch. 2 - Space pirates kidnap an earthling and hold him on...Ch. 2 - Example 2.3: A jetliner touches down at 288 km/h....Ch. 2 - Prob. 42ECh. 2 - Prob. 43ECh. 2 - Prob. 44ECh. 2 - Example 2.5: A diver drops from a 9.21-m high...Ch. 2 - Prob. 46ECh. 2 - Prob. 47ECh. 2 - Prob. 48ECh. 2 - You allow 40 min to drive 25 mi to the airport,...Ch. 2 - Prob. 50PCh. 2 - You can run 9.0 m/s, 20% faster than your brother....Ch. 2 - Prob. 52PCh. 2 - An objects position is given by x = bt + ct3 where...Ch. 2 - An objects position as a function of time t is...Ch. 2 - In a 400-m drag race, two cars start at the same...Ch. 2 - Squaring Equation 2.7 gives an expression for v2....Ch. 2 - During the complicated sequence that landed the...Ch. 2 - The position of a car in a drag race is measured...Ch. 2 - A fireworks rocket explodes at a height of 82.0 m,...Ch. 2 - The muscles in a grasshoppers legs can propel the...Ch. 2 - On packed snow, computerized antilock brakes can...Ch. 2 - A particle leaves its initial position x0 at time...Ch. 2 - A hockey puck moving at 32 m/s slams through a...Ch. 2 - Prob. 64PCh. 2 - A jetliner touches down at 220 km/h and comes to a...Ch. 2 - A motorist suddenly notices a stalled car and...Ch. 2 - A racing car undergoing constant acceleration...Ch. 2 - The maximum braking acceleration of a car on a dry...Ch. 2 - After 35 min of running, at the 9-km point in a...Ch. 2 - Youre speeding at 85 km/h when you notice that...Ch. 2 - Airbags cushioned the Mars rover Spirits landing,...Ch. 2 - Calculate the speed with which cesium atoms must...Ch. 2 - A falling object travels one-fourth of its total...Ch. 2 - Youre on a NASA team engineering a probe to land...Ch. 2 - Youre atop a building of height h, and a friend is...Ch. 2 - A castles defenders throw rocks down on their...Ch. 2 - Two divers jump from a 3.00-m platform. One jumps...Ch. 2 - A balloon is rising at 10 m/s when its passenger...Ch. 2 - In 2014 the Philae spacecraft became the first...Ch. 2 - Youre at mission control for a rocket launch,...Ch. 2 - Youre an investigator for the National...Ch. 2 - Prob. 82PCh. 2 - Consider an object traversing a distance L, part...Ch. 2 - Prob. 84PCh. 2 - Ice skaters, ballet dancers, and basketball...Ch. 2 - Youre staring idly out your dorm window when you...Ch. 2 - A police radars effective range is 1.0 km, and...Ch. 2 - An object starts moving in a straight line from...Ch. 2 - Youre a consultant on a movie set, and the...Ch. 2 - (a) For the ball in Example 2.6, find its velocity...Ch. 2 - Your roommate is an aspiring novelist and asks...Ch. 2 - Prob. 92PCh. 2 - Derive Equation 2.10 by integrating Equation 2.7...Ch. 2 - An objects acceleration increases quadratically...Ch. 2 - An object’s velocity as a function of time is...Ch. 2 - An objects acceleration decreases exponentially...Ch. 2 - A ball is dropped from rest at a height li0 above...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...Ch. 2 - A wildlife biologist is studying the hunting...
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- A proton moves at 5.20 × 105 m/s in the horizontal direction. It enters a uniform vertical electric field with a magnitude of 8.40 × 103 N/C. Ignore any gravitational effects. (a) Find the time interval required for the proton to travel 6.00 cm horizontally. 83.33 ☑ Your response differs from the correct answer by more than 10%. Double check your calculations. ns (b) Find its vertical displacement during the time interval in which it travels 6.00 cm horizontally. (Indicate direction with the sign of your answer.) 2.77 Your response differs from the correct answer by more than 10%. Double check your calculations. mm (c) Find the horizontal and vertical components of its velocity after it has traveled 6.00 cm horizontally. 5.4e5 V × Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. I + [6.68e4 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each…arrow_forward(1) Fm Fmn mn Fm B W₁ e Fmt W 0 Fit Wt 0 W Fit Fin n Fmt n As illustrated in Fig. consider the person performing extension/flexion movements of the lower leg about the knee joint (point O) to investigate the forces and torques produced by muscles crossing the knee joint. The setup of the experiment is described in Example above. The geometric parameters of the model under investigation, some of the forces acting on the lower leg and its free-body diagrams are shown in Figs. and For this system, the angular displacement, angular velocity, and angular accelera- tion of the lower leg were computed using data obtained during the experiment such that at an instant when 0 = 65°, @ = 4.5 rad/s, and a = 180 rad/s². Furthermore, for this sys- tem assume that a = 4.0 cm, b = 23 cm, ß = 25°, and the net torque generated about the knee joint is M₁ = 55 Nm. If the torque generated about the knee joint by the weight of the lower leg is Mw 11.5 Nm, determine: = The moment arm a of Fm relative to the…arrow_forwardThe figure shows a particle that carries a charge of 90 = -2.50 × 106 C. It is moving along the +y -> axis at a speed of v = 4.79 × 106 m/s. A magnetic field B of magnitude 3.24 × 10-5 T is directed along the +z axis, and an electric field E of magnitude 127 N/C points along the -x axis. Determine (a) the magnitude and (b) direction (as an angle within x-y plane with respect to +x- axis in the range (-180°, 180°]) of the net force that acts on the particle. +x +z AB 90 +yarrow_forward
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