College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- An oscillator consists of a block of mass 0.500 kg connected to a spring. When set into oscillation with amplitude 35.0 cm, the oscillator repeats its motion every 0.500 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.arrow_forwardA compact object with a mass of 5.60 kg oscillates at the end of a vertical spring with a spring constant of 2.00 x 10* N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N. s/m. (a) What is the frequency (in Hz) of the damped oscillation? Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % (c) Over what time interval (in s) does the energy of the system drop to 5.00% of its initial value? (d) What If? The atmosphere of Venus is 50 times thicker than that on Earth. If the effect of air resistance on Venus is represented by b = 150 N s/m, recalculate the answers for parts (a) to (c) for this system if it is set in motion in the atmosphere of Venus. What is the frequency (in Hz) of the damped oscillations? Hz What is the percentage decrease in amplitude in each cycle? % What is the time interval (in s) for the energy to drop to 5.00% of its initial value?arrow_forwardA mass of 16 kilograms is suspended from a spring with spring constant 7 Kg/sec^2. The damping constant is 2 Kg/sec and the spring is subject to an external force F(t)= 3cos(9t) Newtons. The motion of the mass eventually settles down to a periodic oscillation. What is the period (in sec) of this periodic oscillation? 2 9.arrow_forward
- A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find(a) the period at which it oscillates A cart of mass 206 g is placed on a frictionless horizontal air track. A spring having a spring constant of 10.80 N/ m is attached between the cart and the left end of the track. When in equilibrium, the cart is located 10.0 cm from the left end of the track. If the cart is displaced 5.10 cm from its equilibrium position, find (d) its speed when it is 12.0 cm from the left end of the track.arrow_forwardA spring with spring constant 15.0 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest. It is then pulled down 6.00 cm and released. If the ball makes 30 oscillations in 20.0 s, what are its (a) mass and (b) maximum speed?arrow_forwardAn oscillator consists of a block of mass 0.593 kg connected to a spring. When set into oscillation with amplitude 26 cm, the oscillator repeats its motion every 0.418 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.arrow_forward
- A block-spring system consists of a spring with constant k = 405 N/m attached to a 1.00 kg block on a frictionless surface. The block is pulled 6.10 cm from equilibrium and released from rest. For the resulting oscillation, find the amplitude, angular frequency, frequency, and period. What is the maximum value of the block's velocity and acceleration? (a)amplitude (in m) m (b)angular frequency (in rad/s) rad/s (c)frequency (in Hz) Hz (d)period (in s) s (e)maximum velocity (in m/s) m/s (f)maximum acceleration (in m/s2) m/s2arrow_forwardA 150 g weight oscillates on a vertical spring. The equation of the mass's position (m) vs time (s) is Asin((omega)*t + (phase constant)) + C = y(t) There is a very slight decrease in amplitude over time. As the amplitude decreases over time, how should the frequency be affected? f = (1/2*pi)*((k/m)^(1/2))arrow_forwardAn oscillator consists of a block of mass 0.724 kg connected to a spring. When set into oscillation with amplitude 39 cm, the oscillator repeats its motion every 0.671 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring. (a) Number i (b) Number (c) Number (d) Number (e) Number (f) Number i Units Units Units Units Units Units ►►►arrow_forward
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