College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A ball with a mass of 240 g is tied to a light string that has a length of 2.80 m. The end of the string is tied to a hook, and the ball hangs motionless below the hook. Keeping the string taut, you move the ball back and up until it is a vertical distance of 1.08 m above its equilibrium point. You then release the ball from rest, and it oscillates back and forth, pendulum style. As usual, we will neglect air resistance. Use g = 9.80 m/s2. (a) What is the highest speed the ball achieves in its subsequent motion? m/s (b) What is the maximum height the ball reaches in its subsequent motion (measured from its equilibrium position)? (c) When the ball passes through the equilibrium point for the first time, what is the magnitude of the tension in the string? Narrow_forwardA 2.2-kg object is suspended from a spring with k = 66 N/m. The mass is pulled 0.88 m downward from its equilibrium position and allowed to oscillate. What is the maximum kinetic energy of the object? ROUND OFF ANSWER UP TO 2 DECIMAL PLACES. INPUT BOTH THE NUMBER AND THE UNIT (ABBREVIATION OF UNIT ONLY).arrow_forwardWhat happens to the frequency of oscillations of a physical pendulum when the amplitude of oscillations increases by a factor of 2? O Oscillation frequency increases by a factor of 4. O Oscillation frequency decreases by a factor of 2. O Oscillation frequency stays the same. O Oscillation frequency increases by a factor of 2. What happens to the energy of oscillations in this case? O Energy of oscillations increases by a factor of 2. O Energy of oscillations increases by a factor of 4. O Energy of oscillations stays the same. O Energy of oscillations decreases by a factor of 2.arrow_forward
- A mass of 2.24 kg is placed on a vertical spring. What is the spring constant, in N/m, of a mass-spring system with a frequency of 1.01 Hz?arrow_forwardMultiple-Concept Example 6 reviews the principles that play a role in this problem. A bungee jumper, whose mass is 70 kg, jumps from a tall building. After reaching his lowest point, he continues to ocillate up and down, reaching the low point two more times in 9.3 s. Ignoring air resistance and assuming that the bungee cord is an ideal spring, determine its spring constant.arrow_forwardTwo different simple harmonic oscillators have the same natural frequency (f=9.50 Hz) when they are on the surface of the Earth. The first oscillator is a vertical spring and mass, the second is a pendulum. If both systems are moved to the surface of the moon (g=1.67 m/s²), what is the new frequency of the vertical spring and mass? Calculate the new frequency of the pendulum.arrow_forward
- You attach one end of a spring with a force constant k = 813 N/m to a wall and the other end to a mass m = 1.42 kg and set the mass-spring system into oscillation on a horizontal frictionless surface as shown in the figure. To put the system into oscillation, you pull the block to a position x - 5.76 cm from equilibrium and release it. k x= 0 x=x/4 X = X (a) Determine the potential energy stored in the spring before the block is released. (b) Determine the speed of the block as it passes through the equilibrium position. m/s (c) Determine the speed of the block when it is at a position X¡/4. m/sarrow_forwardA block with a mass of 0.28 kg is attached to a horizontal spring. The block is pulled back from its equilibrium position until the spring exerts a force of 1.0 N on the block. When the block is released, it oscillates with a frequency of 1.2 Hz. How far was the block pulled back before being released?arrow_forwardA mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k. b. Calculate the spring constant k, in Newtons per meter. c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. d. Calculate the total mechanical energy E, in joules.arrow_forward
- TOPIC: Oscillations A horizontal spring has a spring constant of 30.5 N/m. A mass of 300 g is attached to the spring and displaced 6 cm. The mass is then released. Find (a) the total energy of the system (b) the maximum velocity of the system ( c) the potential energy and kinetic energy of the system for x = 3 cm. Please help me solve this problem with complete and detailed solution. Also, please include an illustration if possible. Thank you tutor!arrow_forwardA spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to the top of the tower and hung down the center of the staircase. However, nothing is available with which to measure the length of the rope. Therefore, at the bottom of the rope a small object is attached so as to form a simple pendulum that just clears the floor. The period of the pendulum is measured to be 6.10 s. What is the height of the tower? Number Unitsarrow_forwardAn ideal spring hangs from the ceiling. A 1.65 kg1.65 kg mass is hung from the spring, stretching the spring a distance ?=0.0925 md=0.0925 m from its original length when it reaches equilibrium. The mass is then lifted up a distance ?=0.0315 mL=0.0315 m from the equilibrium position and released. What is the kinetic energy of the mass at the instant it passes back through the equilibrium position?arrow_forward
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