2) A disk (40mm diameter and 0.2 kg mass) is dropped in the air. Consider g = 10 m/s² and the density of air 1.2 kg/m³. Assume that the drag coefficient of the disk is 1.17. At t=0, the disk speed V = 0. a) What is the acceleration and distance when the ball speed reaches to 1/4V₁, where V, is the terminal speed? b) What would be the answer for part (a) if the falling object is hemispherical (40mm diameter and 0.2 kg mass)? Explain

2) A disk (40mm diameter and 0.2 kg mass) is dropped in the air. Consider g = 10 m/s² and the density of air 1.2 kg/m³. Assume that the drag coefficient of the disk is 1.17. At t=0, the disk speed V = 0. a) What is the acceleration and distance when the ball speed reaches to 1/4V₁, where V, is the terminal speed? b) What would be the answer for part (a) if the falling object is hemispherical (40mm diameter and 0.2 kg mass)? Explain

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Universal Gravitation

Section: Chapter Questions

Problem 35AP: (a) Show that the rate of change of the free-fall acceleration with vertical position near the...

See similar textbooks

Similar questions

(a) What is the acceleration due to gravity on the surface of the Moon? (b) On the surface of Mars? The mass of Mars is SW 6.4181023kg and its radius is 3.38106m .
a) A wind turbine with two or four hollow hemispherical cups connected to a pivot is commonly uscd to measure wind speed. Consider a wind turbine with four 8-cm- diameter cups with a center-to-center distance of 40 cm, as shown in Fig. PI1-35. The pivot is stuck as a result of some malfunction, and the cups stop rotating. For a wind speed of 15 m/s and air density of 1.25 kg/m3, determine the maximum torque this turbine applies on the pivot. A hemisphere at two different orientations for Re > 10 40 cm C04
9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.
In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in diameter. It is found that the pilot blacks out when he is spun at 30.6 rpm (rev/min). At what acceleration (in SI units) does the pilot black out? acceleration: 77.01 m/s? Express this acceleration in terms of a multiple of g. acceleration as a multiple of g: 7.858 If you want to decrease the acceleration by 22.0% without changing the diameter of the circle, by what percent must you change the time for the pilot to make one circle? percent of time change:
A 200m2 wall on a building has a drag coefficient of 0.4. It is rated to a maximum wind force of 64000 N. What is the maximum wind speed it can be exposed to? (Assume rho air = 1 kg.m-3)
A student suggests that the force of air resistance FA depends on the relative speed of an object passing through the air v according to FA = kvN, where k is a constant with appropriate units that depends on properties of the air and the size and shape of the object and N is a dimensionless exponent. The student has a hollow ball made of two hemispherical shells that can be connected together and disconnected, along with access to other commonly available materials. Write an experimental procedure that the student could follow to make measurements in order to find the value of N, and explain how a graph of In(FA) vs. In(v) could be used to find the values of k and N.
A 25-kg projectile is fired vertically upward from the ground. If the velocity is 35 m/s at 5 m above the ground, determine the maximum height (from the ground) in meters to which it will travel if: a. Atmospheric resistance is neglected. b. Atmospheric resistance is measured as Fo = 0.81v (in Newtons), where v is the speed of the projectile at any instant, measured in m/s.
1. A 25-kg projectile is fired vertically upward from the ground, if the velocity is 35m/s at 5m above the ground. Determine the maximum height (from the ground) in meters to which it will travel if a. Atmospheric resistance is neglected. b. Atmospheric resistance is measured a. F,=0.01v (in Newtons), where v is the speed of the projectile at any instant, measured in m/s. (
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))
1 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch, As m (2Kg) move down, m,move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 1
1 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch. As m; (2Kg) move down, m, move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 l20 Son la 1
a. Calculate the acceleration (in m/s2) of a skier heading down a 11.1° slope, assuming the coefficient of friction for waxed wood on wet snow. b. Find the angle (in degrees) of the slope down which this skier could coast at a constant velocity. (You can neglect air resistance, and you will find the equation for the acceleration of any object down an incline where fk = μkN, a = g(sin(θ) − μk cos(θ)), to be useful.)