PHY152 Problem Assignment #1 SHOW YOUR WORK 1. A3 kg object attached to a spring oscillates...
Could you please answer all of the following questions? 1. A 3 kg object attached to a spring oscillates with an amplitude of 15 cm and a period of 2 s. At a time t = 0.5 s, the object's position is x = 9.1 cm. Determine a) the spring constant of the spring b) the total energy of the system (in joules) c) the maximum speed of the object d) the position of the object as a function of...
A 2.5-kg object attached to an ideal spring with a force constant (spring constant) of 15 N/m oscillates on a horizontal, frictionless track. At time t = 0.00 s, the cart is released from rest at position x = 8 cm from the equilibrium position. (a) What is the frequency of the oscillations of the object? (b) Determine the maximum speed of the cart. (c) Find the maximum acceleration of the mass (d) How much total energy does this oscillating...
14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in simple harmonic motion is shown below. x (cm) 2.00 1.00 0.0034 -9.00 For this motion, find the following: a) The amplitude b) The period c) The angular frequency d) The maximum speed e) The maximum acceleration f What is the amount of mechanical energy of the system during the motion? g) Write an equation for its position as a function of time....
Help with these 2 questions
An object of mass 0.67 kg is attached to a spring with spring onstant 15 N/m. If the object is pulled 14 cm from the equilibrium position and released. What is the maximum speed of the object? The displacement of an object is given by y (4.7 cm) sin 20T. What are the object's (a) amplitude, (b) frequency, and (o) period of oscillation?
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5. A mass-spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the mass is 0.50 kg, a) Write an equation for the position, velocity, and acceleration for the mass as a function of time b) find the maximum speed of the mass, and the maximum acceleratjon of the mass. c) Sketch a plot of the position of the mass vs time by labelling the...
5. A mass-spring system oscillates with an amplitude of 3.5 cm. If the spring constant is 250 N/m and the mass is 0.50 kg, a) Write an equation for the position, velocity, and acceleration for the mass as a function of time b) find the maximum speed of the mass, and the maximum acceleration of the mass. c) Sketch a plot of the position of the mass vs time by labelling the values for amplitude and period.
Please show all work.
5. A 2.8 kg block attached to a spring oscillates, without friction, with amplitude of 0.25 m. If the spring constant is 86 N/m find the maximum speed of the block.
Problem 4 An object is attached to a spring in such a way that it undergoes simple harmonic motion with a period of 2 s a) 3 points] What is the angular frequency of the oscillations? b) (3 points) If the mass of the object is 4 kg, what is the value of the spring constant, k? c) (2 points] If the amplitude of the oscillations is 20 cm, what is the total energy of the spring- mass system? d)...
A 240-g object attached to a spring oscillates on a frictionless horizontal table with a frequency of 4.00 Hz and an amplitude of 15.0 cm. 1) Calculate the maximum potential energy of the system. 2) Calculate the displacement of the object when the potential energy is one-half of the maximum. 3) Calculate the potential energy when the displacement is 10.0 cm.
Problem 4: An object is attached to a spring in such a way that it undergoes simple harmonic motion with a period of 2 s. a) [3 points) What is the angular frequency of the oscillations? b) [3 points] If the mass of the object is 4 kg, what is the value of the spring constant, k? c) (2 points) If the amplitude of the oscillations is 20 cm, what is the total energy of the spring. mass system? d)...