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_forwardA bicep muscle shown in Fig. P2.3 can apply a force F measured in Newtons (N) as a function of the elbow angle ϕ, measured in degrees as described by the quadratic equation F(ϕ) = 6ϕ − 0.04ϕ2. For a bicep force of F = 200 N, solve the equation for ϕ by each of the following methods: factoring, completing the square, and the quadratic formula. Using your solution from part (a), determine the elbow angle ϕ where the force exerted by the bicep is maximum. In addition, calculate the maximum force Fmax. Plot F versus ϕ and clearly indicate the maximum force on the graph. Also clearly label the x-intercepts on the graph.arrow_forward
- The forces acting on the sailplane are its weight W = -500j (lb.) , the drag D = -200i + 100j (lb.), and the lift L. The sum of the forces W + L + D = 0. Determine the composnents and the magnitude of L.arrow_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_forwardAn electron's position is given by r=(3ti+4t2j+2k) with t in seconds and r in meters. A)Determine the electron's velocity v(t) in unit vector notation. B)What is the magnitude of v(t) at t=2 s? C)What is the angle between v(t) and the unit vector ı ?arrow_forward
- You hopefully used g=9.8 m/s2 (or thereabouts). That is the gravitational acceleration near the earth's surface. if you rise high above the earth, the gravitational acceleration decreases. Specifically, the gravitational acceleration is inversely proportional to the square of the distance from the earth's center. Equivalently, if you multiply the acceleration by the distance from the earth's center, you should get the same number for all heights. For this problem, take the radius of the earth as 3,902 miles, and calculate the gravitational acceleration of a satellite in low orbit, 182 miles above the surface.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_forwardThe force on an object moving through a viscous fluid (like honey) is F = -bv, where v is the speed of the object. What are the SI units of b? O kg/s kg/s² kg/m O kg/m² O kg/m · s O none of thesearrow_forward
- Help mearrow_forwardIn the product F = qv(x) B, take q = 5, v= 2.0i + 4.0j + 6.0k and F = −30.0i −60.0j + 50.0k What then is B in unit-vector notation if Bx =B y?arrow_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_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning