Pls help with detailed explanation of solution Consider a block attached to a spring of spring...
Pls help with detailed explanation of solution
Consider a block attached to a spring of spring constant k = 400 N/m. At time t1, the horizontal position (as measured from the location of the end of the spring when the spring is at its natural length) is x = 0.100 m, the velocity is v = −13.6 m/s and the acceleration is a = −123 m/s2. Calculate: (a) The frequency of oscillation (Hint: Consider calculating a/x.) (b) The mass of the block. (c) The amplitude of motion. (Hint: Consider calculating v/x.)
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Pls help with detailed explanation of solution
Consider a block attached to a spring of spring...
A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The...
A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The mass is initially displaced to x_max = 0.128 m. At some later time, t, the block has the following kinematic variables: x = 0.100 m, v = -13.6 m/s, a = -123 m/s^2 a) find the frequency of oscillation b) the mass of the block c) the amplitude of the motion. d) and the total mechanical energy of the system.
c) The equation below describes the position r of a block attached to a spring at...
c) The equation below describes the position r of a block attached to a spring at time t: x(t)-x,n cos (wt + ?) i. (2 marks) Explain in words the physical meaning of the variables xm, ? and ?. ii. (2 marks) Derive an expression for the velocity of the block. iii. (2 marks) The spring constant of your oscillator is 400 N/m. At some time the position, velocity and acceleration of the block are r-0.100 m, v- 13.6 m/s...
An oscillator consists of a block attached to a spring (k = 450 N/m). At some...
An oscillator consists of a block attached to a spring (k = 450 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.500 m, v = -12.5 m/s, and a = -107 m/s^2. (a) Calculate the frequency of oscillation. HZ (b) Calculate the mass of the block. kg (c) Calculate the amplitude of the motion. m
A block of unknown mass is attached to a spring with a spring constant of 5.00...
A block of unknown mass is attached to a spring with a spring constant of 5.00 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 27.0 cm/s. (a) Calculate the mass of the block. (b) Calculate the period of the motion. (c) Calculate the maximum acceleration of the block. (m/s2
A block with mass 0.500 kg is attached to a horizontal spring that has force constant...
A block with mass 0.500 kg is attached to a horizontal spring that has force constant 125 N/m and the block moves in simple harmonic motion on a horizontal frictionless surface. when the block is at x=-0.300 m, its speed is v=+4.00 m/s. a) what is the amplitude of the motion? b) what is the speed of the block when it is at x=-0.100 m? Can you right of the steps on how to solve it, thank you!
A small block is attached to an ideal spring and is moving in SHM on a...
A small block is attached to an ideal spring and is moving in SHM on a horizontal frictionless surface. The amplitude of the motion is 0.155 m . The maximum speed of the block is 4.50 m/s . What is the maximum magnitude of the acceleration of the block?
A05 kg ice block frictionless) is attached to a horizontal spring and given a kick. We...
A05 kg ice block frictionless) is attached to a horizontal spring and given a kick. We ca the horizontal position of the ice block with the function x (t) = (1.5 m)sin(877). Answer (A) Whent - 0 sec, what is the position of the block? O (B) What is amplitude of the blocks motion? 1.5 m (C) How much time does a full oscillation take? 0:25 (D) What is the frequency of the blocks oscillation? ( What is the spring...
2. A block of unknown mass is attached to a spring with a spring constant of...
2.
A block of unknown mass is attached to a spring with a spring constant of 5.00 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 32.0 cm/s (a) Calculate the mass of the block (b) Calculate the period of the motion (c) Calculate the maximum acceleration of the block. kg m/s
A block is attached to a spring and set in motion on a horizontal frictionless surface...
A block is attached to a spring and set in motion on a horizontal frictionless surface by pulling the block back a distance 10cm from equilibrium. Now, replace the block with one double the mass and set the block into motion again by pulling the block a distance 10cm from equilibrium and releasing. How will the following new quantities relate to the quanities with the original block? (If it will be larger by a factor of 2, choose double. sqrt...
A 4.8 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal...
A 4.8 kg block attached to a spring executes simple harmonic motion on a frictionless horizontal surface.The amplitude is 0.90 m, the maximum acceleration is 2.9 m/s^2. The force constant of the spring is closest to?
A harmonic oscillator consists of a block attached to a spring (k = 400 N/m). The mass is initially displaced to x_max = 0.128 m. At some later time, t, the block has the following kinematic variables: x = 0.100 m, v = -13.6 m/s, a = -123 m/s^2 a) find the frequency of oscillation b) the mass of the block c) the amplitude of the motion. d) and the total mechanical energy of the system.
c) The equation below describes the position r of a block attached to a spring at time t: x(t)-x,n cos (wt + ?) i. (2 marks) Explain in words the physical meaning of the variables xm, ? and ?. ii. (2 marks) Derive an expression for the velocity of the block. iii. (2 marks) The spring constant of your oscillator is 400 N/m. At some time the position, velocity and acceleration of the block are r-0.100 m, v- 13.6 m/s...
An oscillator consists of a block attached to a spring (k = 450 N/m). At some time t, the position (measured from the system's equilibrium location), velocity, and acceleration of the block are x = 0.500 m, v = -12.5 m/s, and a = -107 m/s^2. (a) Calculate the frequency of oscillation. HZ (b) Calculate the mass of the block. kg (c) Calculate the amplitude of the motion. m
A05 kg ice block frictionless) is attached to a horizontal spring and given a kick. We ca the horizontal position of the ice block with the function x (t) = (1.5 m)sin(877). Answer (A) Whent - 0 sec, what is the position of the block? O (B) What is amplitude of the blocks motion? 1.5 m (C) How much time does a full oscillation take? 0:25 (D) What is the frequency of the blocks oscillation? ( What is the spring...
2.
A block of unknown mass is attached to a spring with a spring constant of 5.00 N/m and undergoes simple harmonic motion with an amplitude of 10.0 cm. When the block is halfway between its equilibrium position and the end point, its speed is measured to be 32.0 cm/s (a) Calculate the mass of the block (b) Calculate the period of the motion (c) Calculate the maximum acceleration of the block. kg m/s
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