Similar to the situation shown in figure (a) below, a toy plane is being whirled at constant speed in a horizontal circle. The plane is attached to a string of length \( L \). Figure (b) shows the relevant free-body diagram; figure (c) shows the coordinate system; and figure (d) shows the free-body diagram with the force of tension split into components.**Figures:**- **Figure (a):** A schematic of the toy plane moving in a horizontal circle on a string.- **Figure (b):** The free-body diagram of the plane showing tension \( F_T \) and gravitational force \( mg \).- **Figure (c):** The coordinate system with x and y axes.- **Figure (d):** The tension \( F_T \) is split into horizontal and vertical components: \( F_T \cos(\theta) \) and \( F_T \sin(\theta) \), respectively.**Questions:**(a) Use \( g = 10 \, \text{m/s}^2 \), a speed for the plane of \( 1.80 \, \text{m/s} \), and the angle \( \theta = 34.0 \) degrees. Determine the length of the string.\[ \text{Length of string:} \, \boxed{\quad} \, \text{m} \](b) The mass of the plane is \( 0.294 \, \text{kg} \). Calculate the tension in the string.\[ \text{Tension in the string:} \, \boxed{\quad} \, \text{N} \](c) It may be a little surprising to you to note that the magnitude of the tension in the string is actually larger than the magnitude of the force of gravity acting on the plane. In which other situations is this also true? (Select all that apply.)- [ ] The plane is at rest, hanging down from the string.- [ ] The string is used to suspend the plane from the ceiling of an elevator, and the elevator has an acceleration directed up.- [ ] The string and the plane are set up like a pendulum, and we are interested in the tension in the string when the plane passes through the lowest point in its swing.- [ ] none of the above

Answered: Image /qna-images/answer/3c954846-7b6d-4cf4-9ea8-b33d0ed35291.jpg

Similar to the situation shown in figure (a) below, a toy plane is being whirled at constant speed in a horizontal circle. The plane is attached to a string of length L. Figure (b) shows the relevant free- body diagram; figure (c) shows the coordinate system; and figure (d) shows the free-body diagram with the force of tension split into components. Fr cos(0) Fr sin(0) mg mg (а) (b) (c) (d) (a) Use g = 10 m/s2, a speed for the plane of 1.80 m/s, and the angle 0 = 34.0 degrees. Determine the length of the string. (b) The mass of the plane is 0.294 kg. Calculate the tension in the string. N (c) It may be a little surprising to you to note that the magnitude of the tension in the string is actually larger than the magnitude of the force of gravity acting on the plane. In which other situations is this also true? (Select all that apply.) O The plane is at rest, hanging down from the string. O The string is used to suspend the plane from the ceiling of an elevator, and the elevator has an acceleration directed up. O The string and the plane are set up like a pendulum, and we are interested in the tension in the string when the plane passes through the lowest point in its swing. O none of the above

Similar to the situation shown in figure (a) below, a toy plane is being whirled at constant speed in a horizontal circle. The plane is attached to a string of length L. Figure (b) shows the relevant free- body diagram; figure (c) shows the coordinate system; and figure (d) shows the free-body diagram with the force of tension split into components. Fr cos(0) Fr sin(0) mg mg (а) (b) (c) (d) (a) Use g = 10 m/s2, a speed for the plane of 1.80 m/s, and the angle 0 = 34.0 degrees. Determine the length of the string. (b) The mass of the plane is 0.294 kg. Calculate the tension in the string. N (c) It may be a little surprising to you to note that the magnitude of the tension in the string is actually larger than the magnitude of the force of gravity acting on the plane. In which other situations is this also true? (Select all that apply.) O The plane is at rest, hanging down from the string. O The string is used to suspend the plane from the ceiling of an elevator, and the elevator has an acceleration directed up. O The string and the plane are set up like a pendulum, and we are interested in the tension in the string when the plane passes through the lowest point in its swing. O none of the above

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Physics Question
Consider a thin slice of the first rod, of thickness dr, that is located a distance r from the origin and a thin slice of the second rod, of thicknessdo2, that is located a distance t2 from the origin. Enter an expression for the magnitude of the force dF12 that the thin slice of rod 1 exerts on the thin slice of rod 2, interms of L1, L2, Q1, Q2, *1, *2, and the Coulomb constant k.Write an equation for the total force on the slice dr of the second rod, due to the total charge on the first rod, in terms of the defined quantitiesCalculate the magnitude of the total force, in newtons, on the second rod due to the total charge on the first rod.
A 2004 Prius with a 150-lb driver and no passengers weighs 3071 lb. The car is initially at rest. Starting at t = 0, a net horizontal force Fx(t) in the +x direction is applied to the car. The force as a function of time is given in (Figure 1). The horizontal parts on the graph correspond to 7500 N and 3500 N. For the time interval t = 0 to t = 4.50 s, what is the impulse applied to the car? What is the speed of the car at t = 4.50 s? At t = 4.50 s, the 3500-N net force is replaced by a constant net braking force Bx = -5240 N . Once the braking force is first applied, how long does it take the car to stop? How much work must be done on the car by the braking force to stop the car? What distance does the car travel from the time the braking force is first applied until the car stops?
A block accelerates at 4 m/s^2 down a rough ramp, inclined at 38 degrees. What is the coefficient of kinetic friction between the block and ramp? Include a sketch of the system (with a coordinate system) and a free body diagram.
Tommy is working on a physics problem and asks his friend Sarah to check his work. He is to draw a free body diagram for a man walking to the left and comes up with the following: He reasons, “The man is walking to the left, so the force of friction is acting in the opposite direction. The normal force should be opposite and equal to that of the gravitational force.” Is Tommy correct with his diagram and reasoning? If so, explain. If not, what mistake did he make? Communication throughout the test will also be evaluated on 1) rounding using significant digits, 2) proper use of units, 3) organization and neatness, and 4) showing all work
Please answer all parts and circle.
B In the figure, block A has a mass of 9.06 kg. It rests on a smooth (assume frictionless) horizontal table and is connected by a very light horizontal string over an ideal pulley to block B, which has a mass of 2.80 kg. When block B is gently released from rest, how long does it take block B to travel 76.7 cm? Report your answer in seconds.
Problem 8: Consider a bowling ball of mass M attached to two ropes. One rope is being pulled horizontally. The second rope is tied to the ceiling (see figure) and is at a 45° with respect to the ceiling.The bowling ball is stationary. T, M Please use the interactive area below to draw the Free Body Diagram for the bowling ball. A Add Force O Reset All T1 v 45 vx T1 Ftotal,x: + (pos) Ftotal,y: + (pos)
An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F1 = 1 N, F2 = 10 N, and F3 = 4 N. When answering the questions below, assume the x-direction is to the right, and the y-direction is straight upwards. What is the magnitude of the net force, in newtons? What is the angle θ, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, |a| of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?
A person throws a 2.50 lb stone into the air with an initial upward speed of 15.0 ft/s . Part B Make a free-body diagram of the forces for this stone at its highest point.(Draw the force vectors with their tails at the origin of the coordinate system.) Part C Make a free-body diagram of the forces for this stone when it is traveling downward. (Draw the force vectors with their tails at the dot.)