1.A 3-kg mass is attached to a relaxed spring withk= 400 N/m and is initially at rest. A 0.1 kg bulletembeds itself in the block, causing it to move in thepositivexdirection. Find: (a) The initial phaseangle,φ0, of the oscillator. (b) The frequency,f, of the oscillations after collision.
2.Consider a simple harmonic oscillator with amplitudeA. When its acceleration is at its maximum(positive) value, what is its positionx?
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1.A 3-kg mass is attached to a relaxed spring withk= 400 N/m and is initially at...
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 400 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.121 m and v = 4.020 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
1) A block of mass m = 0.52 kg is attached to a spring with
force constant 119 N/m is free to move on a frictionless,
horizontal surface as in the figure below. The block is released
from rest after the spring is stretched a distance A = 0.13 m.
(Indicate the direction with the sign of your answer. Assume that
the positive direction is to the right.)
(a) At that instant, find the force on the block. N
(b)...
A 0.940 kg block is attached to a horizontal spring with spring constant 1600 N/m . The block is at rest on a frictionless surface. A 8.00 g bullet is fired into the block, in the face opposite the spring, and sticks. The subsequent oscillations have an amplitude of 13.0 cm . A) Find the total energy of the oscillator. B) Find the speed of the bullet and block immediately after the collision. C) Find the speed of the bullet...
2) A 0.39 Kg is block attached to an ideal spring of force constant (spring constant) 15 N/m executes simple harmonic motion on a frictionless horizontal surface. At time t = 0 s, the block has a displacement of 0.90 m. a) What is the frequency of the oscillations of the cart? (b) Determine the maximum speed of the cart. Where does the maximum speed occur? (c) Find the maximum acceleration of the mass. Where does the maximum acceleration occur?...
A simple harmonic oscillator consists of a block of mass 1.60 kg attached to a spring of spring constant 170 N/m. When t = 1.50 s, the position and velocity of the block are x = 0.126 m and v = 3.090 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 2.50 kg attached to a spring of spring constant 190 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.184 m and v = 3.140 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 4.60 kg attached to a spring of spring constant 290 N/m. When t = 0.530 s, the position and velocity of the block are x = 0.158 m and v = 3.560 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 440 N/m. When t = 2.20 s, the position and velocity of the block are x = 0.136 m and v = 3.210 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A spring with a spring constant of 100 N/m is relaxed at the beginning. The spring is then compressed by 0.1 m. An object of 0.01 kg is attached to the compressed spring. If the compressed spring is released, the object will experience simple harmonic motion. What is the maximum possible speed of the object during the oscillation? Assuming no friction throughout the process. (A) 5 m/s (B) 10 m/s (C) 20 m/s (D) 40 m/s