A block having mass m and charge +Q is connected to an insulating spring having a...
A block having mass m and charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed In a uniform electric field of magnitude E directed as shown in the figure below. The block Is released from rest when the spring Is unstretched (at x = 0). We wish to show that the ensuing motion of the block is simple harmonic. (a) Consider the system...
Review problem. A block having mass m and charge +Q is connected to a spring having constant k. The block lies on a frictionless horizontal track, and the system is immersed in a uniform electric field of magnitude E, directed as shown in the figure below. The block is released from rest when the spring is unstretched (at x0) (a) By what maximum amount does the spring expand? (Use the following as necessary: Q, E, and k.) (b) What is...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
A horizontal mass-spring system consists of a block (m=1.5 kg) on a frictionless to connected to a spring (k = 750 N/m). The system is initially at rest and is in equilibrium MI Second DIOCK (M=1.5 kg) approaches with a speed of 3.5 m/s and undergoes all inelastic collision with the first block (i.e.. they stick together after the collision). (a) What is the amplitude of the resulting simple harmonic motion (in cm)? (b) What is the angular frequency (w)...
A small block of mass m and charge Q is placed on an field is applied parallel to the 0 (a) Find an expression for the magnitude of the electric field that enables the block to remain at rest. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration due gravity.) b) l m s. 469. magnitude 6 si #26.5, determine the magnitude and the direction of the electric field that enables the...
A block of mass 6.00kg is connected to a spring on a horizontal frictionless surface. By stretching the block and then releasing it, the block-spring system undergoes simple harmonic motion. The block’s position as a function of time is given by x = 45.0 cm cos(3pi(t) - pi/3) a. Determine the angular frequency and period of the motion b. Determine the amplitude c. Determine the phase angle e. Determine the time when the position x = -18.0cm f. Determine the...
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
A 73.0-g block carrying a charge Q = 36.0 μC
is connected to a spring for which k = 77.0 N/m. The block
lies on a frictionless, horizontal surface and is immersed in a
uniform electric field of magnitude E = 4.66 ✕
104 N/C directed as shown in the figure below. The block
is released from rest when the spring is unstretched (x =
0). (a) By what maximum distance does the block move from its initial position? (b) Find the...
Can you please answer both questions, Y=0
Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x (30 cm) cos[(6.28 rad/s)t + /4) Determine (a) the amplitude, (b) the spring constant, (c) the frequency, (d) the maximum speed (e) maximum acceleration of the block, and (e) the total energy of the spring-block. of the block Problem 4 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 + y)...
Part A: 10 points each (Questions 1-4 1. A block mass of 3 kg attached with a spring kg attached with a spring of spring constant 2500 N/m as shown in the Figure below. The amplitude or maximum displacement X max is 7m. Calculate O a) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x...