The drag on a pitched baseball can be surprisingly large. Suppose a 145 g baseball with a diameter of 7.4 cm has an initial speed of 40.2 m/s (90 mph).a. What is the magnitude of the ball’s acceleration due to the drag force?b. If the ball had this same acceleration during its entire 18.4 m trajectory, what would its final speed be?

The drag on a pitched baseball can be surprisingly large. Suppose a 145 g baseball with a diameter of 7.4 cm has an initial speed of 40.2 m/s (90 mph).a. What is the magnitude of the ball’s acceleration due to the drag force?b. If the ball had this same acceleration during its entire 18.4 m trajectory, what would its final speed be?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 2P: (a) A car with a mass of 850 kg is moving to the right with a constant speed of 1.44 m/s. What is...

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(a) A car with a mass of 850 kg is moving to the right with a constant speed of 1.44 m/s. What is the total force on the car? (b) What is the total force on the car if it is moving to the left?
A projectile of mass 0.75 kg is shot straight up into the air with an initial speed of 20 m/s. a. How high would it go if there were no air resistance? b. If the projectile rises to a maximum height of 12 m, determine the magnitude of the average force due to air resistance.
Consider dropping a baseball from rest at an altitude of 300 m. Assume that the baseball has a drag coefficient of 0.3, a mass of 0.145 kg, and a radius of 3.7 cm. a. What is the terminal speed vT of this baseball? b. Calculate the characteristic time tT = vT / |g|. c. Set up the Newton application to model this situation. Let's agree that the ball has essentially reached its terminal velocity when its acceleration falls below |g| / 20. About how long must the baseball fall to reach terminal velocity according to this criterion? Express your answer as a multiple of the characteristic time tT. (Hints: Equation N9.17 might be helpful as you set up the program. A time step of 0.1 seconds works pretty well.) Equation N9.17: az = -|g| * (1 - (vz2 / vT2))
Your forehead can withstand a force of about 6.0 kN before fracturing, while your cheekbone can only withstand about 1.3 kN. a. If a 140 g baseball strikes your head at 30 m/s and stops in 0.0015 s, what is the magnitude of the ball’s acceleration? b. What is the magnitude of the force that stops the baseball? c. What force does the baseball apply to your head? Explain. d. Are you in danger of a fracture if the ball hits you in the forehead? In the cheek?
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The dragster accelerates from rest down a road of length d = 400.0 m. In the absence of any friction the dragster has a constant acceleration of a = 21.1 m/s2 in the direction of motion, and its mass is m = 1175 kg. Assume the dragster is moving in the positive horizontal direction. a. What is the dragster's final speed, in meters per second, assuming Fr = 1000 N?
2. Some mice can survive a fall from any height; they do this flattening out their bodies to increase their cross sectional area which acts like a parachute. Model a 20 g mouse as a 4 cm x 9 cm rectangle with a drag coefficient of 1.1, and assume the density of air is 1.2 kg/m³. A. What is the terminal velocity of this mouse? B. Suppose the mouse is falling at 5 m/s. What would be its acceleration at this instant?
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1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.
A 12.1-kg box starting at rest on a horizontal floor is acted on by a net horizontal force of 6.05 N. a. What is the magnitude of the box's acceleration? b. How far does it travel in 10.0 seconds? c. What is its speed at that time?