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A block of mass m = 2.0 kg attached to a spring with spring constant k on a frictionless surface. The block is pushed to the left to position x = -0.5 m and, at time t = 0, it is released from rest and starts oscillating with a period of 2.0 s.(a) Which of the following equations describes the position (in units of meter) as a function of time?[1] x(t) = -0.5 cos(pt) [2] x(t) = 0.5 sin(pt) [3] x(t) = 0.5 cos(2t)[4] x(t) = -0.5 sin(2pt) [5] none of these(b) What is the maximum speed of the block?[1] vmax = (p2/4) m/s [2] vmax = (p/2) m/s [3] vmax = 2 m/s[4] vmax = 2p2 m/s [5] none of these(c) What is the spring constant of the spring?[1] k = (p2/4) N/m [2] k = (p/2) N/m [3] k = 2 N/m[4] k = 2p2 N/m [5] none of these(d) What is the total energy of the system?[1] E = (p2/4) J [2] E = (p/2) J [3] E = 2 J[4] E = 2p2 J [5] none of these
If B (magnetic) field is decreasing into the plane and a circular coil is on the plane, what is the direction of induced current flow through the coil
You are assigned the design of a cylindrical, pressurized water tank for a future colony on Mars, Find the net downward force on the tank's flat bottom, of area 2.50m^2 , exerted by the water and air inside the tank and the air outside the tank
A compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.234 s, what is the angular velocity of the disk
According to you, an astronaut's trip from Earth to a distant planet takes 28 years. What is the distance between the planets, according to you
Say the electrical company needs to step down the voltage from 7200V RMS in the power line behind your house to the required 120V RMS, how many loops must be on the secondary side
A pulsed proton beam is fireat a target each last 45.0ns and there 3.00 X 10^9 protons in each pulse, What is the average pressure on the beam spot during the pulse if the protons are absorbed by the target
A shot-putter accelerates a 7.3kg shot from rest to 17m/s, If this motion takes 1.3s , what average power was developed
A car travels due East with a speed of 33.5 km/h. Rain is falling vertically with respect to the Earth. Find the velocity of the rain with respect to the car
A copper weight is placed on top of a 0.23 kg block of wood (density = 0.60 x10^3 kg/m3) floating in water. What is the mass of the copper
q1. suppose the gravitational force between two massive spheres is 100 n. if the distance between the spheres is
A lottery machine uses blowing air to keep 2000 Ping-Pong balls bouncing around inside a 1.0m X 1.0m X1.0m box. What is the mean free path between collisions
Two violin strings are tuned to the same frequency, 294Hz, What will be the beat frequency heard when the two strings are played together
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