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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
0.015mol of a diatomic gas, with initial temperature 18 degrees C , How much heat is added during this process
We all sound like great singers in the shower, due to standing waves. What are the wavelengths of the first two overtones for this shower
Calculate the electric flux through the circle when its face is perpendicular to the field lines and then when at 45 degrees to the field lines
A laboratory technician drops an 83.5g solid sample of unknown material at a temperature of 100?C into a calorimeter. Compute the specific heat capacity of the sample
What is the maximum electric field magnitude between the cylinders?
A black wood stove with surface area 4.6 m^2 is made from cast iron 4.0 mm thick. What is the rate of heat conduction through the stove wall
The spacing between the plates of a 1.0x10^-6F capacitor is 0.05mm. what is the surface area of the plates
A woman holds a tube of lipstick 2.3 cm from a spherical mirror and notices that the image of the tube is upright and one fifth its normal size, Determine the position of the image. Is it in front of or behind the mirror
In a certain region of space, the electric field, E, is constant in direction (say horizontally in the +x-direction), but its magnitude decreases.
How much is the spring compressed?
When a 5.5 cm long pencil is arranged perpendicular to a convex mirror's optical axis at a distance of 29 cm from the mirror, its image is 2.8 cm tall.
Find out the magnitude of the truck's vertical component of displacement, answer in units of meters.
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