Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 5, Problem 65P
In a loop-the-loop roller coaster, show that a car moving too slowly would leave the track at an angle ϕ given by cos ϕ = v2/rg, where ϕ is the angle made by a vertical line through the center of the circular track and a line from the center to the point where the car leaves the track.
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Problem 2:
In baseball the pitcher will throw baseballs horizontally and to account for gravity, the
pitcher will stand upon a raised mound. Take the pitcher's release point to be 1.2m above
the ground and they will hit a spot 0.7m above the ground at a distance 20m away.
a)
Draw ST vs t, sy VS t, Uz VS t,, Vy vs t, a vs t,, and ay vs t, graphs of
the baseball's motion
b)
from Kinematic Equations on the first page
Prove that the velocity needed is =
9(Asz)²
V24sy
symbolically by starting
c)
If the pitcher was playing on Mars (g = 3.7m/s, negligible air resistance)
how fast would they have to pitch?
While traversing a two-lane highway, the driver observes a girl, 60 m ahead, at the edge of the traveled way of the opposite direction about to cross the road. The lane width of the traveled way is 3.5 m. The vehicle is 2 m wide and 3 m long. The speed of the vehicle is 75 kph and the walking speed of the girl is 1.5 m/s. The vehicle is traveling along the centerline of the traveled way. Asssume that the driver's PR time is 0.8 sec and the coefficient of friction between the vehicle tires and the pavement is 0.4.
a. If the roadway is level, will the girl be able to corss the road safely?
b. If the roadway has down grade of 0.5%, what is the coefficient of friction between the tires and the pavement required so that the driver won't hit the girl?
c. Using the original coefficient of friction between vehicle tires and the pavement, at what roadway grade is the vehicle traversing such that the vehicle was just able to stop without hitting the girl?
In my homework, I am asked to derive an equation for V0.
The homework question is as follows: A howitzer fires a shell with a velocity of v0 at an angle Θ above the horizontal. The howitzer is on a plateau and the shell lands down in the plain below, a vertical distance d below the plateau and a horizontal distance L from where the howitzer is. Derive an expression for the magnitude of the initial velocity, V0, as a function of d, L, g, and Θ.
Any help would be appreciated as I have worked on this problem for quite a while and I am not making progress.
Chapter 5 Solutions
Essential University Physics
Ch. 5.1 - A roofers toolbox rests on an essentially How does...Ch. 5.2 - In the figure below weve replaced one of the hands...Ch. 5.3 - You whirl a bucket of water around in a vertical...Ch. 5.4 - The figure shows a logging vehicle pulling a...Ch. 5 - The force of static friction acts only between...Ch. 5 - A jet plane flies at constant speed in a vertical...Ch. 5 - In cross-country skiing, skis should easily glide...Ch. 5 - Why do airplanes bank when turning?Ch. 5 - Why is it easier for a child to stand nearer the...Ch. 5 - Gravity pulls a satellite toward Earths center. So...
Ch. 5 - Explain why a car with ABS brakes can have a...Ch. 5 - A fishing line has a 20-lb breaking strength. Is...Ch. 5 - Youre on a plane undergoing a banked turn, so...Ch. 5 - A backcountry skier weighing 700 N skis down a...Ch. 5 - Two forces, both in the x-y plane, act on a...Ch. 5 - Two forces act on a 3.1-kg mass that undergoes...Ch. 5 - At what angle should you tilt an air table to...Ch. 5 - A skier starts from rest at the top of a 24 slope...Ch. 5 - Studies of gymnasts show that their high rate of...Ch. 5 - Find the minimum slope angle for which the skier...Ch. 5 - Section 5.2 Multiple Objects Your 12-kg baby...Ch. 5 - Suppose the angles shown in Fig. 5.30 are 60 and...Ch. 5 - Two unfortunate climbers, roped together, are...Ch. 5 - Suppose the Moon were held in its orbit not by...Ch. 5 - Show that the force needed to keep a mass m in a...Ch. 5 - A 940-g rock is whirled in a horizontal circle at...Ch. 5 - Youre investigating a subway accident in which a...Ch. 5 - A tetherball on a 1.55-m rope is struck so that it...Ch. 5 - An airplane goes into a turn 3.6 km in radius. If...Ch. 5 - Movers slide a 73-kg file cabinet along a floor...Ch. 5 - A hockey puck is given an initial speed of 14 m/s....Ch. 5 - Starting from rest, a skier slides 100 m down a 28...Ch. 5 - A curve on a flat road has curvature radius 115 m,...Ch. 5 - Prob. 30ECh. 5 - Example 5.4: A 63.2-kg climber finds herself...Ch. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Example 5.7: A roller-coaster car is going at 17.7...Ch. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38PCh. 5 - A block is launched with initial speed 2.2 m/s up...Ch. 5 - In the process of mitosis (cell division), two...Ch. 5 - A 14.6-kg monkey hangs from the middle of a...Ch. 5 - A camper hangs a 26-kg pack between two trees...Ch. 5 - A mass m, undergoes circular motion of radius R on...Ch. 5 - Patients with severe leg breaks arc often placed...Ch. 5 - Riders on the Great American Revolution...Ch. 5 - A 45-kg skater rounds a 5.0-m-radius turn at 6.3...Ch. 5 - When a piano turns, it banks as shown in Fig. 5.35...Ch. 5 - You whirl a bucket of water in a vertical circle...Ch. 5 - A child sleds down an 8.5 slope at constant speed....Ch. 5 - The handle of a 22-kg lawnmower makes a 35 angle...Ch. 5 - Repeal Example 5.4, now assuming that the...Ch. 5 - A bat crashes into the vertical front of an...Ch. 5 - The coefficient of static friction between steel...Ch. 5 - A bug crawls outward from the center of a CD...Ch. 5 - A 310-g paperback book rests on a 1.2-kg textbook....Ch. 5 - Children sled down a41-m-long hill inclined at 25....Ch. 5 - In a typical front-wheel-drive car, 70% of the...Ch. 5 - A police officer investigating an accident...Ch. 5 - A slide inclined at 35 takes bathers into a...Ch. 5 - You try to move a heavy trunk, pushing down and...Ch. 5 - A block is shoved up a 22 slope with an initial...Ch. 5 - Prob. 62PCh. 5 - Youre in traffic court, arguing against a speeding...Ch. 5 - A space station is in the shape of a hollow ring,...Ch. 5 - In a loop-the-loop roller coaster, show that a car...Ch. 5 - Find an expression for the minimum frictional...Ch. 5 - An astronaut is training in an earthbound...Ch. 5 - Prob. 68PCh. 5 - Driving in thick fog on a horizontal road, you...Ch. 5 - A block is projected up an incline at angle . It...Ch. 5 - A 2.1-kg mass is connected to a spring with spring...Ch. 5 - A car moving at 77 km/h negotiates a 95-m-radius...Ch. 5 - Moving through a liquid, an object of mass m...Ch. 5 - A block is launched with speed v0 up a slope...Ch. 5 - A florist asks you to make a window display with...Ch. 5 - Figure 5.39 shows an apparatus used to verify...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - A spiral is an ice-skating position in which the...Ch. 5 - The tilt angle θ that the skater’s body makes with...
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