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QUIZ: Free fall and air drag Due Menday-Tuesday no exceptions Two objects are dropped simultaneously from...
Two objects are dropped simultaneously from an initial height of 100m, with an initial velocity of...
Two objects are dropped simultaneously from an initial height of 100m, with an initial velocity of zero. They fall straight down. For mass 1, you can ignore air drag. For mass 2, air drag DOES affect the motion. Here is the position vs. time for both objects: 100 90 80 y 100-0.1164't-4.795*t40.1283*t3 70 60 mass 1: no air drag a mass 2: with air drag 40 30 y-100-1/2 9.8*t2.. 20 10 time (s) 1) Calculate the kinetic energy of mass...
1. [25 points) Idealized frictionless free fall of an object that is dropped from being at...
1. [25 points) Idealized frictionless free fall of an object that is dropped from being at rest at i = 0. For the following question, to model the free fall of a falling rock, assume the usual idealizing simplifications for solving "free fall" problems. Consider the following experiment. A rock with a mass of m= 2 kg is dropped at the time t = 0 from a height of 140 m above ground. Assume that the rock is simply dropped...
n Chapter 5 we look at drag due to air resistance for falling objects. Using the...
n Chapter 5 we look at drag due to air resistance for falling objects. Using the Dv form of dr discussed in class, write a program (or solve analytically) to determine how long (sec.) and how far m) a 150 gram ball whose radius is 3.5cm would fall before it reached 75% of its terminal velocity. Assume ball falls in air whose density is 1.21 kg/m3, has a drag coefficient C .3, cross-sectional area s just the disk a sphere...
6. [10 points) For the following question, to model the free fall of a falling rock,...
6. [10 points) For the following question, to model the free fall of a falling rock, assume the usual idealizing simplifications for solving "free fall" problems. Work with the approximate value g = 9.8 m/s2 for the Earth's gravitational acceleration. Consider the following experiment. The Leaning Tower of Pisa is known worldwide for its nearly four- degree lean. The height of the tower is 55.86 meters from the ground on the low side, and 56.67 meters on the high side....
Problem 2 (40%). While driving, some of a car's kinetic energy is lost to air drag....
Problem 2 (40%). While driving, some of a car's kinetic energy is lost to air drag. We would like to estimate the importance of air drag using dimensional analysis and the Buck- ingham a theorem. The relevant parameters are the drag force (FD), the frontal surface area (A) and velocity of the car (v), as well as the density of air (Pair = 1 kg/m3). Answer the following questions: 1. Derive the expression of the drag force as a function...
1 Warm-Up Questions 1 A block of mass m = 3 kg is dropped from the...
1 Warm-Up Questions 1 A block of mass m = 3 kg is dropped from the top of a half-pipe (half-circle) of radius R = 2 m starting from rest. The surface of the incline does have friction. If the block comes to rest at half of its initial height, how much work was done by friction? Work: 2 Initially, a ball of mass 0.4 kg is compressed by a spring, with spring constant k = 980 N/m, by a...
Two objects undergo an elastic collision. Object 1 has a mass of 2.75 kg and object...
Two objects undergo an elastic collision. Object 1 has a mass of 2.75 kg and object 2 a mass of 2.6 kg. Just prior to the collision, object 1 has a kinetic energy of 51 J and object 2 is at rest. What is the initial velocity of Object 1? What is the total kinetic energy of the two cart system after the collision? What is the total momentum of the two cart system after the collision?
(a) Which combination of energies remains constant when two isolated objects collide elastically? (b) What are...
(a) Which combination of energies remains constant when two isolated objects collide elastically? (b) What are the four categories of energy that make up the total energy of a system? Give a brief description of each. (c) You fire a 40 gram rock from ground level using a slingshot. The rock went 3 meters straight up when you released the rock after stretching the rubber band 20 cm. (c1) How much mechanical energy (kinetic plus potential) did the rock have...
A package of mass 50 kg is dropped from a helicopter and experiences a drag force...
A package of mass 50 kg is dropped from a helicopter and experiences a drag force of 120 N due to air resistance. Find the resultant force and use it to calculate the acceleration of the package during the fall. Take the acceleration due to gravity as g = 9.81 m s-2 and give your answer in m s-2 to 1 decimal place. Answer: Answer m s-2
An Atwood machine consists of two masses connected by a light string of fixed length which...
An Atwood machine consists of two masses connected by a light string of fixed length which is wrapped around a frictionless bar. One end of the string is connected to a 6 kg mass (mi), while the other end is connected to a 2 kg mass (m2). The 6 kg mass is 2.5 meters above the flat, horizontal floor, while the 2 kg mass starts at rest on the floor. 3. bar mi 2 m2 A) Calculate the speed of...
Two objects are dropped simultaneously from an initial height of 100m, with an initial velocity of zero. They fall straight down. For mass 1, you can ignore air drag. For mass 2, air drag DOES affect the motion. Here is the position vs. time for both objects: 100 90 80 y 100-0.1164't-4.795*t40.1283*t3 70 60 mass 1: no air drag a mass 2: with air drag 40 30 y-100-1/2 9.8*t2.. 20 10 time (s) 1) Calculate the kinetic energy of mass...
1. [25 points) Idealized frictionless free fall of an object that is dropped from being at rest at i = 0. For the following question, to model the free fall of a falling rock, assume the usual idealizing simplifications for solving "free fall" problems. Consider the following experiment. A rock with a mass of m= 2 kg is dropped at the time t = 0 from a height of 140 m above ground. Assume that the rock is simply dropped...
n Chapter 5 we look at drag due to air resistance for falling objects. Using the Dv form of dr discussed in class, write a program (or solve analytically) to determine how long (sec.) and how far m) a 150 gram ball whose radius is 3.5cm would fall before it reached 75% of its terminal velocity. Assume ball falls in air whose density is 1.21 kg/m3, has a drag coefficient C .3, cross-sectional area s just the disk a sphere...
6. [10 points) For the following question, to model the free fall of a falling rock, assume the usual idealizing simplifications for solving "free fall" problems. Work with the approximate value g = 9.8 m/s2 for the Earth's gravitational acceleration. Consider the following experiment. The Leaning Tower of Pisa is known worldwide for its nearly four- degree lean. The height of the tower is 55.86 meters from the ground on the low side, and 56.67 meters on the high side....
Problem 2 (40%). While driving, some of a car's kinetic energy is lost to air drag. We would like to estimate the importance of air drag using dimensional analysis and the Buck- ingham a theorem. The relevant parameters are the drag force (FD), the frontal surface area (A) and velocity of the car (v), as well as the density of air (Pair = 1 kg/m3). Answer the following questions: 1. Derive the expression of the drag force as a function...
1 Warm-Up Questions 1 A block of mass m = 3 kg is dropped from the top of a half-pipe (half-circle) of radius R = 2 m starting from rest. The surface of the incline does have friction. If the block comes to rest at half of its initial height, how much work was done by friction? Work: 2 Initially, a ball of mass 0.4 kg is compressed by a spring, with spring constant k = 980 N/m, by a...
Two objects undergo an elastic collision. Object 1 has a mass of 2.75 kg and object 2 a mass of 2.6 kg. Just prior to the collision, object 1 has a kinetic energy of 51 J and object 2 is at rest. What is the initial velocity of Object 1? What is the total kinetic energy of the two cart system after the collision? What is the total momentum of the two cart system after the collision?
(a) Which combination of energies remains constant when two isolated objects collide elastically? (b) What are the four categories of energy that make up the total energy of a system? Give a brief description of each. (c) You fire a 40 gram rock from ground level using a slingshot. The rock went 3 meters straight up when you released the rock after stretching the rubber band 20 cm. (c1) How much mechanical energy (kinetic plus potential) did the rock have...
An Atwood machine consists of two masses connected by a light string of fixed length which is wrapped around a frictionless bar. One end of the string is connected to a 6 kg mass (mi), while the other end is connected to a 2 kg mass (m2). The 6 kg mass is 2.5 meters above the flat, horizontal floor, while the 2 kg mass starts at rest on the floor. 3. bar mi 2 m2 A) Calculate the speed of...
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