Concept explainers
(a)
Terminal velocity of water droplets at radii
(a)
Answer to Problem 61P
Terminal velocity of water droplets at radii
Explanation of Solution
At the terminal velocity, the drag force is balanced by the force due to gravity.
Here,
Write the expression for mass water drop.
Here,
Conclusion:
Substitute,
Substitute,
Assume that
Therefore, terminal velocity of water droplets at radii
(b)
Terminal velocity of water droplets at radii
(b)
Answer to Problem 61P
Terminal velocity of water droplets at radii
Explanation of Solution
Conclusion:
Substitute,
Substitute,
Solve the above quadratic equation.
Therefore, terminal velocity of water droplets at radii
(c)
Terminal velocity of water droplets at radii
(c)
Answer to Problem 61P
Terminal velocity of water droplets at radii
Explanation of Solution
Conclusion:
Substitute,
Substitute,
Assume that,
Therefore, terminal velocity of water droplets at radii
Want to see more full solutions like this?
Chapter 5 Solutions
Principles of Physics: A Calculus-Based Text
- Two forces act on an object. The first force has a magnitude of 19.0 N and is oriented 68.0° counterclockwise from the +? axis, whereas the second force has x‑ and y‑components (−21.0 N,12.5 N).(−21.0 N,12.5 N). Express the magnitude and direction of the net force. direction: °counterclockwise from the +x‑axisarrow_forwardA force F1 of magnitude 4.80 units acts at the origin in a direction 50.0° above the positive x axis. A second force F2 of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F1 + F2. Find magnitude Find directionarrow_forwardTwo forces act on an object. The first force has a magnitude of 17.0 N17.0 N and is oriented 68.0°68.0° counterclockwise from the +?+x‑axis, whereas the second force has ?x‑ and ?y‑components (−21.0 N,12.5 N).(−21.0 N,12.5 N). Express the magnitude and direction of the net force. magnitude: NN direction: °° counterclockwise from the +?+x‑axisarrow_forward
- The town of Calculusville is 95 m above sea level and the town of Vectorville is 178 m above sea level. The two towns are 4.8 km apart along a straight, smooth road. A family decides to move from Calculusville to Vectorville. They pack all their belongings in a trailer hitched to their SUV. The SUV pulls the trailer up the road using a force, in newtons, defined by the vector F = [25 000, 14 000]. a) Find the force drawing the trailer up the hill and the force, perpendicular to the hill, tending to lift it. b) What is the work done by the SUV in pulling the trailer up the hill? What is the work done in raising the altitude of the trailer? d) Explain why your answers to parts b) and c) are different.arrow_forwardThree forces act on a point. The forces are represented by colored arrows. The orange force is 10 N @ 105o; the blue force is 8 N @ 210o; and the green force is 15 N @ 315o. Express the net force on that point in both unit vector notation and polar notation.arrow_forwardA patient with a dislocated shoulder is put into a traction apparatus as shown in the figure. The pulls A and B have equal magnitudes and must combine to produce an outward traction force of 5.52 N on the patient's arm. How large should these pulls be? Figure P1.61 32 32arrow_forward
- Help mearrow_forwardA sledge is being pulled by two horses on a flatterrain. The net force on the sledge can be expressed inthe Cartesian coordinate system as vectorF→ = (−2980.0 i^+ 8200.0 j^)N , where i^and j^ denote directions to the east and north, respectively. Find the magnitude and direction of the pull.arrow_forwardA box of mass 7.54 kg is being pushed along a frictionless floor by a force of magnitude 14.86 N acting down and to the right at an angle of 68.54 degrees. What is the magnitude of the normal force acting on the box (in N)? Use g = 9.81 m/s^2 (My answer to the question was 102.16 N, multiplication with cosine could’ve been wrong.arrow_forward
- Two workers are trying to move a heavy crate. One pushes on the crate with a force A, which has a magnitude of 480 newtons and is directed due west. The other pushes with a force B, which has a magnitude of 325 newtons and is directed due north. What is the magnitude of the resultant force A + B applied to the crate? Specify your answer up to one decimal place. Do not include units.arrow_forwardTwo vectors, A and B, have magnitudes of 4.70 units and 9.81 units, respectively. The angle between A and B is 54.0°. What is A B?arrow_forwardA stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls along the leash with force F = (86.4 N)i + (139.6 N)j + (34.8 N)k. (Here the unit vector k is directed vertically upward.) What is the magnitude of the pulling force in N? What angle does the leash make with the vertical?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning