Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 3, Problem 37P
(a)
To determine
The velocity of rain with respect to the car.
(b)
To determine
The velocity of rain with respect to the earth.
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A car travels due east with a speed of 32.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 44.0° with the vertical. Find the velocity of the rain with respect to the car and the earth. (Enter the magnitude of the velocity.)
(a) the car
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A car travels due east with a speed of 50.0km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 60.0 with the vertical. Find the velocity of the rain with respect to (a) the car and (b) the Earth.
A car travels due east with a speed of 60.0 km/h relative to the ground. Raindrops are falling at a constant speed vertically relative to Earth. The traces of the rain on the side windows of the car make an angle of 70.08 with the vertical. Calculate the velocity of the rain relative to (a) the car and(b) Earth.
Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 3.1 - Consider the following controls in an automobile...Ch. 3.3 - (i) As a projectile thrown upward moves in its...Ch. 3.3 - Rank the launch angles for the five paths in...Ch. 3.4 - Which of the following correctly describes the...Ch. 3.5 - A particle moves along a path, and its speed...Ch. 3 - In which of the following situations is the moving...Ch. 3 - A rubber stopper on the end of a string is swung...Ch. 3 - Figure OQ3.3 shows a birds-eye view of a car going...Ch. 3 - Entering his dorm room, a student tosses his book...Ch. 3 - Does a car moving around a circular track with...
Ch. 3 - An astronaut hits a golf ball on the Moon. Which...Ch. 3 - A projectile is launched on the Earth with a...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A sailor drops a wrench from the top of a...Ch. 3 - A set of keys on the end of a string is swung...Ch. 3 - Prob. 12OQCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - A projectile is launched at some angle to the...Ch. 3 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 3 - Prob. 2PCh. 3 - A particle initially located at the origin has an...Ch. 3 - It is not possible to see very small objects, such...Ch. 3 - A fish swimming in a horizontal plane has velocity...Ch. 3 - At t = 0, a particle moving in the xy plane with...Ch. 3 - Mayan kings and many school sports teams are named...Ch. 3 - The small archerfish (length 20 to 25 cm) lives in...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - A firefighter, a distance d from a burning...Ch. 3 - A soccer player kicks a rock horizontally off a...Ch. 3 - Prob. 18PCh. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - Prob. 20PCh. 3 - A playground is on the flat roof of a city school,...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - As their booster rockets separate, Space Shuttle...Ch. 3 - Prob. 26PCh. 3 - The astronaut orbiting the Earth in Figure P3.27...Ch. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - A point on a rotating turntable 20.0 cm from the...Ch. 3 - Figure P3.31 represents the total acceleration of...Ch. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - A certain light truck can go around an unbanked...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - Why is the following situation impassible? A...Ch. 3 - An astronaut on the surface of the Moon fires a...Ch. 3 - The Vomit Comet. In microgravity astronaut...Ch. 3 - A projectile is fired up an incline (incline angle...Ch. 3 - A basketball player is standing on the floor 10.0...Ch. 3 - A truck loaded with cannonball watermelons stops...Ch. 3 - A ball on the end of a string is whirled around in...Ch. 3 - An outfielder throws a baseball to his catcher in...Ch. 3 - Prob. 51PCh. 3 - A skier leaves the ramp of a ski jump with a...Ch. 3 - A World War II bomber flies horizontally over...Ch. 3 - A ball is thrown with an initial speed vi at an...Ch. 3 - Prob. 55PCh. 3 - A person standing at the top of a hemispherical...Ch. 3 - An aging coyote cannot run fast enough to catch a...Ch. 3 - Prob. 58PCh. 3 - The water in a river flows uniformly at a constant...Ch. 3 - Prob. 61P
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- A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)arrow_forwardIf a projectile is fired from the origin of the coordinate system with an initial velocity υ0 and in a direction making an angle α with the horizontal, calculate the time required for the projectile to cross a line passing through the origin and making an angle β < α with the horizontal.arrow_forwardA car travels due east with a speed of 44.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 70.0° with the vertical. Find the velocity of the rain with respect to the car and the eartharrow_forward
- A car travels due east with a speed of 40.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 44.0° with the vertical. Find the velocity of the rain with respect to the above reference frames.arrow_forwardA car travels due east with a speed of 54.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 50.0° with the vertical. Find the velocity of the rain with respect to the car and the earth. (Enter the magnitude of the velocity.) (a) the car ?km/h(b) the Earth ?km/harrow_forwardA car travels due east with a speed of 39.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 61.0° with the vertical. Find the velocity of the rain with respect to the following reference frames. (a) the car (b) the Earth Step 1 RC RE (a) To solve for the velocity of the rain relative to the car each moving relative to the Earth, we use the analogy of two objects moving relative to the Earth, each with constant velocity. Let v be the velocity of the rain relative to the car, V the velocity of the rain relative to the Earth, and VCE the velocity of the car relative to the Earth. Following the pattern of subscripts illustrated in the equation for two objects moving relative to the Earth, VAB = V VAE E-VBE we find that the velocity of the rain relative to the car is v with x- and y-components given by the following equations. CE (VRC)X = (VRE)X - (VCE)X RC) y = (VRE)y - (VCE)y We…arrow_forward
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