Marcelina's grandfather is hosting a party at their ranch, and asks Marcelina to make the ranch entrance look festive. She ruusunee them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to $ 32.4 cm. Each balloon has equal mass of m= 2.16 g and carries equal charge. You can model each balloon as a particle, with its center L 49.5 cm from the point of support. What is the charge (in uc) on one balloon? 0.415 x Draw careful diagrams, for example, one looking straight up at the three balloons, a free-body diagram of one balloon, and a diagram of the electric forces on a single balloon. along with geometry and Newton's second law applied to a particle in equilibrium, will allow you to write relationships among S, L, m, and q. Use your

Marcelina's grandfather is hosting a party at their ranch, and asks Marcelina to make the ranch entrance look festive. She ruusunee them from the gate with string, as shown in the figure. The balloons repel, and she notices that from directly below, each balloon is at a vertex of a horizontal, equilateral triangle with sides equal to $ 32.4 cm. Each balloon has equal mass of m= 2.16 g and carries equal charge. You can model each balloon as a particle, with its center L 49.5 cm from the point of support. What is the charge (in uc) on one balloon? 0.415 x Draw careful diagrams, for example, one looking straight up at the three balloons, a free-body diagram of one balloon, and a diagram of the electric forces on a single balloon. along with geometry and Newton's second law applied to a particle in equilibrium, will allow you to write relationships among S, L, m, and q. Use your

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter6: Momentum And Collisions

Section: Chapter Questions

Problem 44P: A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three...

See similar textbooks

Similar questions

Two figure skaters are coasting in the same direction, with the leading skater moving at 5.5 m/s and the trailing skating moving at 6.2 m/s. When the trailing skater catches up with the leading skater, he picks her up without applying any horizontal forces on his skates. If the trailing skater is 50 heavier than the 50-kg leading skater, what is their speed after he picks her up?
Find the center of mass of a cone of uniform density that has a radius R at the base, height h, and mass M. Let the origin be at the center of the base of the cone and have +z going through the cone vertex.
NASAs Saturn V rockets that launched astronauts to the moon were powered by the strongest rocket engine ever developed, providing 6.77 106 N of thrust while burning fuel at a rate of 2.63 103 kg/s. Calculate the engines exhaust speed.
A space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?
Check Your Understanding How would the firework display change in deep space, far away from any source of gravity?
Which one of the following statement is true: a. The center of mass of an object must lie within the object. b. The center of mass of an object cannot move if the net force exerted on the object is zero. c. All the mass of an object is actually concentrated at its center of mass. d. The center of mass of an object must lie outside the object. e. None of the above. ANS: e Can someone please explain why they're false. I know that the CofM can be outside the object or inside so I know a and d are false. I know, for instance, with a baseball bat that the hitting end is more massive and that the CofM is more towards the more massive object so I can assume that c is false. I'm not sure about b. Thanks
A metal plate has a horizontal width of 3 m and a vertical height of 2 m. The density of the plate is uniform, meaning that the mass is evenly distributed. Let’s consider the origin to be the bottom left of the plate. That means the center of mass of the plate is _____x + _________ym.
Researchers studying the possible effects of “heading” a soccer ball--hitting it with the head--use a force plate to measure the interaction force between a ball and a hard surface. shows smoothed data of the force when a 430 g soccer ball is fired horizontally at the force plate with a speed of 13 m/s.
A baseball (m = 148 g) approaches a bat horizontally at a speed of 40.7 m/s (91.1 mi/h) and is hit straight back at a speed of 51.6 m/s (115 mi/h). If the ball is in contact with the bat for a time of 1.45 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction.
Four objects are held in position at the corners of a rectangle by light rods as shown in the figure below. (The mass values are given in the table.) m1 (kg) m2 (kg) m3 (kg) m4 (kg) 3.50 1.70 4.10 2.30 Four particles connected by light rods in the shape of a rectangle are shown. It lies on an x y-coordinate system with the center of the rectangle at the origin. An m2 particle lies in the first quadrant, an m1 particle lies in the second quadrant, an m4particle lies in the third quadrant and an m3 particle lies in the fourth quadrant. The rods that are parallel to the x-axis are of length 4.00 m. The rods that are parallel to the y-axis are of length 6.00 m. (a) Find the moment of inertia of the system about the x-axis.kg · m2(b) Find the moment of inertia of the system about the y-axis.kg · m2(c) Find the moment of inertia of the system about an axis through O and perpendicular to the page.kg · m2
a shape is on an x-y axis, beginning at x = 0. The bottom of the shape is 25 cm long and it reaches a height of 20 cm. The shape weights 450 g. The shape has a triangular form, like a wedge. If shape has a uniform density and a uniform width in the z-direction, find the x-component of the center-of-mass.
A baseball (m = 152 g) approaches a bat horizontally at a speed of 43.6 m/s (97.6 mi/h) and is hit straight back at a speed of 53.8 m/s (120 mi/h). If the ball is in contact with the bat for a time of 1.03 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, since it is so much less than the force of the bat. Choose the direction of the incoming ball as the positive direction. Number Type your answer here Units Choose your answer here