
(a)
The slope of the straight line, including units.
(a)

Answer to Problem 6.49AP
The slope of the straight line is
Explanation of Solution
From the Figure, the terminal speed of the filters is
Formula to calculate the slope is,
Substitute
Conclusion:
Therefore, the slope of the straight line is
(b)
The theoretical slope of a graph of resistive force versus squared speed.
(b)

Answer to Problem 6.49AP
The theoretical slope of a graph of resistive force versus squared speed is
Explanation of Solution
Given info:
The expression for the resistive force is,
Here,
Formula to calculate the slope is,
Substitute
Conclusion:
Therefore, the theoretical slope of a graph of resistive force versus squared speed is
(c)
The drag coefficient of the filters.
(c)

Answer to Problem 6.49AP
The drag coefficient of the filters is
Explanation of Solution
Given info: Radius of the circle is
Formula to calculate the area of the circle is,
Here,
Substitute
Thus, the area of the circle is
Formula to calculate the drag coefficient is,
Here,
Substitute
Conclusion:
Therefore, the drag coefficient of the filters is
(d)
The vertical separation from the line best fit for the eight data point.
(d)

Answer to Problem 6.49AP
The vertical separation from the line best fit for the eight data point is
Explanation of Solution
Given info:
Form the Figure (1), the force at point 8 in the graph, the mass off the coffee is
Formula to calculate the force at point 8 is,
Substitute
The terminal speed of the filters is
The vertical separation from the line best fit for the eight data point is,
Conclusion:
Therefore, the vertical separation from the line best fit for the eight data point is
(e)
The explanation for what graph explains and compare it with the theoretical prediction.
(e)

Answer to Problem 6.49AP
The graph for the coffee filter falling in air at terminal speed shows the resistance force is a function of the terminal speed squared which gives the air resistance.
Explanation of Solution
Given info:
The drag coefficient of the filters is
Thus, the constant slope of the graph is,
The graph for the coffee filter falling in air at terminal speed shows the resistance force is a function of the terminal speed squared which gives the air resistance.
The expression for the resistive force is,
From this given expression,
Thus, the graph of the resistive force is directly proportional to the terminal speed squared.
Conclusion:
Therefore, the graph for the coffee filter falling in air at terminal speed shows the resistance force is a function of the terminal speed squared which gives the air resistance.
Want to see more full solutions like this?
Chapter 6 Solutions
Physics for Scientists and Engineers
- Current Attempt in Progress In the figure what is the net electric potential at point P due to the four particles if V = 0 at infinity, q = 2.12 fC, and d = 1.75 cm? d Number MI Units +qarrow_forwardA 0.500 kg sphere moving with a velocity given by (2.00î – 2.60ĵ + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with an initial velocity of (−1.00î + 2.00ĵ – 3.20k) m/s. (a) The velocity of the 0.500 kg sphere after the collision is (-0.90î + 3.00ĵ − 8.00k) m/s. Find the final velocity of the 1.50 kg sphere. R = m/s Identify the kind of collision (elastic, inelastic, or perfectly inelastic). ○ elastic O inelastic O perfectly inelastic (b) Now assume the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.850ĵ - 2.15k) m/s. Find the final velocity of the 1.50 kg sphere. ✓ = m/s Identify the kind of collision. O elastic O inelastic O perfectly inelastic (c) Take the velocity of the 0.500 kg sphere after the collision as (−1.00ỉ + 3.40] + ak) m/s. Find the value of a and the velocity of the 1.50 kg sphere after an elastic collision. (Two values of a are possible, a positive value and a negative value. Report each with their corresponding final velocities.) a…arrow_forwardA cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 1.31 x 104 N/m, as in the figure below. The cannon fires a 200-kg projectile at a velocity of 136 m/s directed 45.0° above the horizontal. 45.0° (a) If the mass of the cannon and its carriage is 5000 kg, find the recoil speed of the cannon. m/s (b) Determine the maximum extension of the spring. m (c) Find the maximum force the spring exerts on the carriage. (Enter the magnitude of the force.) Narrow_forward
- launch angle. Passage Problems Alice (A), Bob (B), and Carrie (C) all start from their dorm and head for the library for an evening study session. Alice takes a straight path,arrow_forwardbelow the horizontal, and land 55 m horizontally from the end of the jump. Your job is to specify the slope of the ground so skiers' trajectories make an angle of only 3.0° with the ground on land- ing, ensuring their safety. What slope do you specify? T 9.5° -55 marrow_forwardMake sure to draw a sketch and a free body diagram. DO NOT give me examples but ONLY the solutionarrow_forward
- Make sure to draw a sketch AND draw a Free body diagramarrow_forwardP -3 ft 3 ft. O A B 1.5 ft Do 1.5 ft ✓ For the frame and loading shown, determine the magnitude of the reaction at C (in lb) if P = 55 lb. (Hint: Use the special cases: Two-force body and Three-force body.)arrow_forwardA convex mirror (f.=-6.20cm) and a concave minor (f2=8.10 cm) distance of 15.5cm are facing each other and are separated by a An object is placed between the mirrors and is 7.8cm from each mirror. Consider the light from the object that reflects first from the convex mirror and then from the concave mirror. What is the distance of the image (dia) produced by the concave mirror? cm.arrow_forward
- An amusement park spherical mirror shows park spherical mirror shows anyone who stands 2.80m in front of it an upright image one and a half times the person's height. What is the focal length of the minor? m.arrow_forwardAn m = 69.0-kg person running at an initial speed of v = 4.50 m/s jumps onto an M = 138-kg cart initially at rest (figure below). The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.440. Friction between the cart and ground can be ignored. (Let the positive direction be to the right.) m M (a) Find the final velocity of the person and cart relative to the ground. (Indicate the direction with the sign of your answer.) m/s (b) Find the friction force acting on the person while he is sliding across the top surface of the cart. (Indicate the direction with the sign of your answer.) N (c) How long does the friction force act on the person? S (d) Find the change in momentum of the person. (Indicate the direction with the sign of your answer.) N.S Find the change in momentum of the cart. (Indicate the direction with the sign of your answer.) N.S (e) Determine the displacement of the…arrow_forwardSmall ice cubes, each of mass 5.60 g, slide down a frictionless track in a steady stream, as shown in the figure below. Starting from rest, each cube moves down through a net vertical distance of h = 1.50 m and leaves the bottom end of the track at an angle of 40.0° above the horizontal. At the highest point of its subsequent trajectory, the cube strikes a vertical wall and rebounds with half the speed it had upon impact. If 10 cubes strike the wall per second, what average force is exerted upon the wall? N ---direction--- ▾ ---direction--- to the top to the bottom to the left to the right 1.50 m 40.0°arrow_forward
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningAstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStax





