A block of mass M = 6.2 kg at rest on a horizontal frictionless table, is attached to a rigid support by a spring with a spring constant of 6,000 N/m. A bullet of m = 9.5 g and velocity of 630 m/s strikes and becomes embedded in the block. Determine the amplitude of the resulting simple harmonic motion. Use conservation of momentum to determine the initial velocity of the block/bullet and determine amplitude base on conservation of energy.

A block of mass M = 6.2 kg at rest on a horizontal frictionless table, is attached to a rigid support by a spring with a spring constant of 6,000 N/m. A bullet of m = 9.5 g and velocity of 630 m/s strikes and becomes embedded in the block. Determine the amplitude of the resulting simple harmonic motion. Use conservation of momentum to determine the initial velocity of the block/bullet and determine amplitude base on conservation of energy.

Related questions

Q: x = 7.00 cos s (5t +) where x is in centimeters and t is in seconds. (a) At t= 0, find the position…

A: Position of piston in simple harmonic motion, x= 7 cos (5t+ pi/5) cm

Q: k m The 8.0 kg block is attached to a spring (k 221 N/m) as shown. The small wheels serve to…

A: Mass of the block m = 8.0 kg Spring constant k = 221 N/m Initial position xo = 1.2 m Initial…

Q: A mass of 500 grams is connected to a spring and displaced 50 cm from equilibrium. The mass is…

A: This question is based on Simple Harmonic Motion topic. Formula time period of oscillation of spring…

Q: A large block P executes horizontal simple harmonic motion as it slides across a frictionless…

A: frequency f = 1.20 Hz μ, coefficient of static friction=0.63

Q: A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of…

Q: A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless…

A: Given:- The mass of the block is m = 0.35 kg The spring constant is k = 22.0 N/m The block is…

Q: A body describes simple harmonic motion with an amplitude of 5cm and a period of 0.2s. Find the…

A: The displacement of the simple harmonic motion is

Q: Block A can move without friction in the slot as shown and is acted upon by a vertical periodic…

A: In steady state vibration, block A does not move and therefore, remains in its original equilibrium…

Q: A 5.0 kg block is attached to a spring of spring constant k=4.00x10^2 N/m and undergoes simple…

A: For second block to stay in contact with the first block the external force must be less than the…

Q: A block of mass M = 1.5 kg, at rest on a horizontal frictionless table, is attached to a rigid…

A: Given : M = 1.5 kg k = 80.9 N/m m = 9.5 g = 9.5 x 10-3 kg v = 721 m/s

Q: A large block P executes horizontal simple harmonic motion as it slides across a frictionless…

A: Given,Frequency, f = 1.8 Hzμs, coefficient of static friction = 0.510

Q: A particle is moving in simple harmonic motion with an amplitude of 4.2 cm and a maximum velocity of…

A: Given:- The ampiltude A = 4.2 cm The maximum velocity v = 14.0 cm/s The initial phase is 0…

Q: spring

Q: Which of the following forces, acting on a particle of mass m, will not result in simple harmonic…

Q: A 3.72 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a…

A: Write the given values with the suitable variables. m=3.72×10-2 kgk=125 N/mv=9.98 m/s Here, m, k,…

Q: A 3.76 x 10-2-kg block is resting on a horizontal frictionless surface and is attached to a…

Q: A large block P executes horizontal simple harmonic motion as it slides across a frictionless…

A: Condition for block B to not to slip is Frictional Force ≥ maximum Restoring force. Frictional force…

Q: Calculate the velocity of a simple harmonic oscillator with amplitude of 13.5 cm and frequency of 5…

A: Given: The amplitude of the system is 13.5 cm. The frequency of the system is 5 Hz. The position of…

Q: A particle with a mass of 2.9 × 10-20 kg is oscillating with simple harmonic motion with a period of…

Q: The figure shows block 1 of mass 0.175 kg sliding to the right over a frictionless elevated surface…

A: mass , M = 0.175 kg Speed , V1 = 7.75 m/s spring constant , k = 1238 N/m Time period , T = 0.125 s…

Q: M oooooo FIG. 7. A solid cylinder attached to a horizontal spring with spring constant & rolls…

Q: A simple harmonic oscillator with a period of 1.43 sec and a mass of 4.20 kg has an initial velocity…

Q: 33. ssm A 1.00 × 10-²-kg block is resting on a horizontal frictionless surface and is attached to a…

Question

A block of mass M = 6.2 kg at rest on a horizontal frictionless table, is attached to a rigid support by a spring with a spring constant of 6,000 N/m. A bullet of m = 9.5 g and velocity of 630 m/s strikes and becomes embedded in the block. Determine the amplitude of the resulting simple harmonic motion. Use conservation of momentum to determine the initial velocity of the block/bullet and determine amplitude base on conservation of energy.

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Introduction

VIEW

Initial Velocity of Block

VIEW

Calculation for Amplitude

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The acceleration of an object that has a mass of 0.025 kg and exhibits simple harmonic motion is given by the following equation. ax (t) = (10 m/s²) cos 37 nt + %3D Calculate the object's velocity Ux (t) at time t = 4.0 s, assuming that the velocity of the object is v, = -3.2 m/s at %3D Ux (4.0 s) = m/s %3D t = 0 s.
In the figure, two blocks (m = 2.30 kg and M = 9.00 kg) and a spring (k = 180 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.300. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block?
Which of the following forces, acting on a particle of mass m, will not result in simple harmonic motion? The displacement of the particle from the equilibrium position is denoted by x(t). (a) F(t) = -2x2(t) (b) F(t) = +2x2(t) (c) F(t) = +2x(t) (d) F(t) = -2x(t)
Calculate the velocity of a simple harmonic oscillator with amplitude of 19.9 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in SI units.
A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 3 600 rev/min. Taking the extremes of its position relative to its center point as ±5.00 cm, find the magnitudes of the (a) maximum velocity and (b) maximum acceleration of the piston.
(a) A device consists of an object with a weight of 35.0 N hanging vertically from a spring with a spring constant of 250 N/m. There is negligible damping of the oscillating system. Applied to the system is a harmonic driving force of 13.0 Hz, which causes the object to oscillate with an amplitude of 3.00 cm. What is the maximum value of the driving force (in N)? (Enter the magnitude.) N (b) What If? The device is altered so that there is a damping coefficient of b = 5.00 N s/m. The hanging weight and spring constant remain the same. The same driving force as found in part (a) is applied with the same frequency. What is the new amplitude (in cm) of oscillation? cm (c) What If? Repeat the same calculation as part (b), only now with a damping coefficient of b = 100 N s/m. (Enter the answer in cm.) cm
There is a block that is moving along on a wooden plank that moves and follows simple harmonic motion with a frequency of 15 oscillations per minute. In one oscillation, the motion of the center of mass of the object spans 3 m along the x-axis. Please determine the minimum value of the static friction coefficient that stops the block from slipping? Please determine the position, velocity and acceleration of the block 0.5 second after going through the center of the trajectory in the negative x-direction?