77% i 11:49 AMPHYS220_Spring-20-21..PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185Hz. At a position x, the abject has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitudeof oscillation, A, is:(a) 0.12 m(b) 0.22 m(c) 0.31 m(d)0.42 m2) A black af mass m is attached to a spring with force constant, k and oscillate at a frequency f. If themass is changed tom' = m/2, and the spring force is changed tok = 2k, then the new frequency f' ofthe oscillation would be,(a)/" = 2/(b) =f()/ = 1/2(d)/ - 4fThe following given is for questions 3 and 4:A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set tooscillates on a frictionless horizontal surface. At time t = 0 its position is x, = 0 and its velocity isVo = +5m/s.3) Which of the following is true about the ascillation amplitude and the phase constant,p:(a) A = 0.5, = /2(b)A = 0.5, =- 8/2(c) A = 0.25, 9 = #/2(d)A = 0.25, 9=-/24) When the block's velocity has the value v = tnas /2, then its position has the possible values of:(a) x = ±(3/4)4(b) x = tA/2(e) x = ±(VT/2)A(4)x = ±(V7/2)A5) A block-spring system oscillates in a simple harmonic motian an a frictionless horizontal table. Itsdisplacement varies with time according to x(t) = 0.2 cas (2t – #/4). The earliest time the particlereaches position x = 0.1 m is(a) t24(b) t =47(e) t=(d) t6) Consider a bab attached to a vertical string. At t = 0, the bob is displaced to a new position where thestring makes -8° with the vertical and is then released fram rest. If the angular displacement 8(t) iswritten as a cosine function, then the phase constant o is:(а) -я/2(b)0(c) +a/2(d)7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above theequilibrium position and is then given an initial speed of 0.6 m/s What are the values of themaximum speed and maximum height reached by the bob? (Take g = 9.8 m/s)(a) hmax = 1.87 cm; Va = 3.44 m/s(b) hmax = 2.89 cm; Vna = 0.75 m/s(c) hmax = 1.87 cm; Va = 0.75 m/s(d)hmax = 2.89 cm; vm = 3.44 m/s

Name: 77% i 11:49 AMPHYS220_Spring-20-21..PHYS220 _ Spring/20-21 _ Practice
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: 77% i 11:49 AMPHYS220_Spring-20-21..PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185Hz. At a position x, the abject has a kinetic energy of 0.7 J and

Since you have asked multiple question, we will solve the first question for you. If you want any…

Science

Physics

1) A 0.1 kg object ascillates as a simple harmonic motion along the x -axis with a frequency f = 3.185 Hz. At a position x,, the object has a kinetic energy of 0.7J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d)0.42 m

1) A 0.1 kg object ascillates as a simple harmonic motion along the x -axis with a frequency f = 3.185 Hz. At a position x,, the object has a kinetic energy of 0.7J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d)0.42 m

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

Related questions

Q: An object-spring system oscillates with an amplitude of 4.0 cm. If the spring constant is 260 N/m…

Q: A 0.75-kg block oscillates on the end of a spring with a spring constant of 100 N/m. The oscillation…

A: Frequency of oscillations is proportional to spring constant and inversely to mass. A restoring…

Q: 8) A 2 kg. mass is oscillating horizontally on a frictionless surface when attached to a spring. The…

A: Write the expression for the total energy. TE=12kA2 Here, k is the spring constant and A is the…

Q: An object-spring system oscillates with an amplitude of 3.9 cm. If the spring constant is 265 N/m…

A: Amplitude of the spring is A = 3.9 cm Spring constant is k = 265 N/m Mass of the object is m = 0.50…

Q: A vertically suspended spring has a 0.250 kg mass attached to the bottom. The mass experiences…

A: To find how much spring will stretch first we have to find out spring constant

Q: A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f 3.185 Hz.…

Q: The amplitude of a lightly damped oscillator decreases by 3.38% during each cycle. What percentage…

Q: A particle executing simple harmonic motion of amplitude 5cm has a maximum speed of 31.4 cm/s. The…

A: D

Q: A 5 kg object is attached to a spring and is oscillating on a horizontal surface. When the object…

Q: 2. You pull a simple pendulum 0.255 m long to the side through an angle of 3.50° and release it. (a)…

Q: amplitude of oscillation

Q: A particle undergoes simple harmonic motion with a frequency of f, = 10 Hz. At t = 0 ; the position…

A: solution is given as

Q: 1) A0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency f =…

Q: he work done by the spring from t = 0 to t = π/4ω starting from eqn. 1.

A: The position of a simple harmonic oscillator with mass m is given by x(t) = A sin ωt. where A is the…

Q: (a) Find the amplitude, period, and horizontal shift. (Assume the absolute value of the horizontal…

A: ..From figure,The amplitude of the curve is 2.The time period is 2πand, The horizontal shift or the…

Q: A 0.40-kg mass is attached to a spring with a force constant of k = 357 N/m, and the mass–spring…

Q: gy peno

A: Maximum kinetic energy of simple pendulum is KEmax = 1/2 m A2 w2 Angular frequency w= 2π /T m =…

Q: An object-spring system oscillates with an amplitude of 3.7 cm. If the spring constant is 290 N/m…

Q: An object is undergoing simple harmonic motion with a period of 0.300 s and amplitude 6.00 cm. At t…

Q: An object-spring system oscillates with an amplitude of 3.4 cm. If the spring constant is 235 N/m…

A: (a) Mechanical Energy = 12kA2=12(235)(3.4×10-2)2 =0.1358 J

Q: A 0.40-kg mass is attached to a spring with a force constant of k = 387 N/m, and the mass–spring…

A: (a)Given that the mass is 0.40kg, the force constant of the spring is 387N/m, and the amplitude of…

Q: An object-spring system oscillates with an amplitude of 3.7 cm. If the spring constant is 265 N/m…

A: The mechanical energy is given by E= 0.5 mw2A2 The maximum speed is given by v = w A The maximum…

Q: spring constant k

Q: A mass m tied to the end of a spring with a spring constant k completes one oscillation in time T…

Q: 2) A particle is set to oscillate in simple harmonic motion with an amplitude A = 0.3 m. The speed…

A: In the given question, the particle is oscillating in simple harmonic motion with amplitude A =…

Q: The motion of the earth about its axis is periodic and simple harmonic. a) True b) False

A: False

Q: A given pendulum system oscillates with an amplitude A and a period T. When the amplitude is…

A: The total energy of the pendulum is directly related to the square of the amplitude. E∝A2

Q: Two simple harmonic motions are represented by the equations y₁ = 10 sin (3πt + π/4) and y₂ = 5 (sin…

A: We are aware that the equation represents two basic harmonic motions:y1=10sin3πt+π4 and…

Q: Find the object's speed when the spring is stretched 0.1 m.

Q: A block attached to a spring, oscillates on a frictionless horizontal surface with a period of O.45…

Q: Part (b) Does increasing the mass at the end increase the maximum speed? O Yes O No

A: Write the expression of maximum speed. vmax=2gL1-cosθ

Q: A horizontal spring is lying on a frictionless surface. One end of the spring is attaches to a wall…

A: K = Kinetic Energy = 0.5*m*v^2U = Potential energy = 0.5*k*x^2given that:Initial Energy = U + K…

Q: A simple pendulum of length L, has a maximum angular displacement 0_max. At one point in its motion,…

A: K=1.8 J is the right answer.

Concept explainers

Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.

Topic Video

Question

77% i 11:49 AM
PHYS220_Spring-20-21..
PHYS220 _ Spring/20-21 _ Practice Sheet-1_ Keys
1) A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f = 3.185
Hz. At a position x, the abject has a kinetic energy of 0.7 J and a potential energy 0.3J. The amplitude
of oscillation, A, is:
(a) 0.12 m
(b) 0.22 m
(c) 0.31 m
(d)0.42 m
2) A black af mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the
mass is changed tom' = m/2, and the spring force is changed tok = 2k, then the new frequency f' of
the oscillation would be,
(a)/" = 2/
(b) =f
()/ = 1/2
(d)/ - 4f
The following given is for questions 3 and 4:
A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to
oscillates on a frictionless horizontal surface. At time t = 0 its position is x, = 0 and its velocity is
Vo = +5m/s.
3) Which of the following is true about the ascillation amplitude and the phase constant,p:
(a) A = 0.5, = /2
(b)A = 0.5, =- 8/2
(c) A = 0.25, 9 = #/2
(d)A = 0.25, 9=-/2
4) When the block's velocity has the value v = tnas /2, then its position has the possible values of:
(a) x = ±(3/4)4
(b) x = tA/2
(e) x = ±(VT/2)A
(4)x = ±(V7/2)A
5) A block-spring system oscillates in a simple harmonic motian an a frictionless horizontal table. Its
displacement varies with time according to x(t) = 0.2 cas (2t – #/4). The earliest time the particle
reaches position x = 0.1 m is
(a) t
24
(b) t =
47
(e) t=
(d) t
6) Consider a bab attached to a vertical string. At t = 0, the bob is displaced to a new position where the
string makes -8° with the vertical and is then released fram rest. If the angular displacement 8(t) is
written as a cosine function, then the phase constant o is:
(а) -я/2
(b)0
(c) +a/2
(d)
7) A bob attached to a cord is moved to the right where its vertical position is 1.05 cm above the
equilibrium position and is then given an initial speed of 0.6 m/s What are the values of the
maximum speed and maximum height reached by the bob? (Take g = 9.8 m/s)
(a) hmax = 1.87 cm; Va = 3.44 m/s
(b) hmax = 2.89 cm; Vna = 0.75 m/s
(c) hmax = 1.87 cm; Va = 0.75 m/s
(d)hmax = 2.89 cm; vm = 3.44 m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

1) A 0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency f = 3.185 Hz. At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d) 0.42 m
Two simple harmonic oscillators H1 and H2 of masses on a spring have masses m1 and m2, spring constants k1 and k2, and amplitudes A1 and A2. It is found that the total mechanical energy of H2 equals 4H1. Which one of the following will NOT give this relationship? mị = m2 ; 4k1 = k2 ; A1 = A2 4m1 = m2 ; 4k1 = k2 ; Aı = A2 mi = m2 ; 2kı = k2 ; (v2) A1 = A2 4m1 = m2 ; kı = k2 ; A1 = A2
Two separate systems have vertical springs of negligible mass with identical spring constants. One system has a sphere of mass m attached to it and it oscillates with oscillation amplitude A1. The other system has a mass 2m attached to it and it has an oscillation amplitude A2. If the total mechanical energy of the two systems are the same then the ratio of the oscillation amplitudes AIA2 is equal to [The gravitational potential energy of the mass attached to the spring does not alter the equation of motion of the mass attached to the spring). OA. 1 ОВ. 0.5 Ос. 2 OD. 0.25 OE. 4
A 3 kg object connected to a light spring with a spring constant of 120 N/m oscillates on a frictionless horizontal surface. a) Calculate the kinetic energy of the object when the speed is 0.5 m/s? b) Calculate the spring potential energy (or elastic potential energy) when the object is at the position 3 cm.
1) A 0.1 kg object oscillates as a simple harmonic motion along the x -axis with a frequency f = 3.185 Hz. At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of ocillation, A, is: (a) 0.12 m (b)0.22 m (c) 0.31 m (d)0.42 m
8) In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 6max, to the maximum angular velocity, 6max, is n s1. What is the time needed for the pendulum to complete two oscillations? 4 sec 1 sec 2 sec 0.5 sec 0.25 sec
A spider on a web oscillates horizontally with simple harmonic motion with an amplitude of 2.4 × 10-3 m and period of 0.42 s. (a) State at which point(s) in the oscillation the spider experiences a maximum magnitude of acceleration. (b) Find the maximum magnitude of acceleration that the spider experiences.
A mass of m = 200 g is attached to the end of a spring whose mass is negligible, with spring constant k. The system makes simple harmonic motion in a horizontal frictionless plane. The amplitude of the movement is given as 40 cm. It is initially t = 0 and its maximum velocity is given as 2 m / s.a) Spring constant is one of the following? b)Which is the total mechanical energy of the system?
In Concept Simulation 10.2 you can explore the concepts that are important in this problem. Astronauts on a distant planet set up a simple pendulum of length 1.20 m. The pendulum executes simple harmonic motion and makes 100 complete oscillations in 390 s. What is the magnitude of the acceleration due to gravity on this planet?
Given that the total energy of a simple harmonic spring system is given by: E = (mV?/2) + (kx2/2) Calculate the maximum kinetic energy for a mass (0.5 kg) on a simple harmonic spring with spring constant k =4 N/m, and amplitude of 10 cm. O 0.02 Joulles O 0.002 Joules O 0.0002 Joules O 0.04 Joules O 0.0004 Joules
A 0.1 kg object oscillates as simple harmonic motion along the x axis with a frequency f=3.185 Hz . At a position x1 the object has a kinetic energy of 0.7J and a potential energy of 0.3J . Calculate the amplitude of ascillation A
A body executes simple harmonic motion. The potential energy, the kinetic energy and total energy are measured as a function of displacement x. Which of the following statements is true? a) Kinetic energy is maximum when x = 0 b) Total energy is zero, when x = 0 c) Kinetic energy is maximum when x is maximum d) Potential energy is maximum when x = 0