9. A toy airplane with a mass of exactly 0.200 kg is tied to a 1.50 m string. The other end of the string is attached to the ceiling. The toy airplane is moving in a horizontal circle with a constant speed, v. The angle 0 between the string and the vertical direction is 30.0°. (a) What is the tension in the string? (b) Given that this is Uniform Circular Motion, find the tangential velocity of the toy airplane, v. R
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- A rubber ball is attached to a 1.44-meter string and spun in a horizontal circle. The tension in the string is 2.91 N. It takes 0.644 s for the ball to complete one revolution. Determine the mass (in kg) of the ball.You are swinging a 0.25 kg water balloon vertically. The distance from your shoulder (acting as the center of rotation) and the water balloon is about 0.65 m. You estimate the water balloon is traveling at 7.0 m/s. At the very top of the circular path, how much force is your hand holding the water balloon? Enter absolute value. Hint: the water balloon is experiencing uniform circular motion.A 50.0 kg child stands at the rim of a merry-go-round of radius 1.70 m, rotating with an angular speed of 2.95 rad/s. (a) What is the child's centripetal acceleration? m/s2(b) What is the minimum force between her feet and the floor of the carousel that is required to keep her in the circular path? N(c) What minimum coefficient of static friction is required?Is the answer you found reasonable? In other words, is she likely to stay on the merry-go-round?
- 8. DETAILS Need Help? Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (see figure below). One such pendulum is constructed with a string of length L = 11.3 cm and bob of mass 0.230 kg. The string makes an angle 05.06° with the vertical. T (a) What is the radial acceleration of the bob? magnitude m/s2 direction inward m Bob Read It MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (b) What are the horizontal and vertical components of the tension force exerted by the string on the bob? (Assume radially inward to be the positive x axis and vertically upward to be the positive y axis. Express your answer in vector form.) T= NProblem 14: A rotating platform of radius R = 4.2 cm is initially at rest. It then begins to move, such that a point on its edge experiences a tangential acceleration of at = 5.5 cm/s2. Part (a) Write an expression (using variables) that gives the radial acceleration on the edge of the platform as a function of time. Part (b) Write an expression (using variables) for the time at which the magnitudes of the radial and tangential accelerations at the edge will be equal.