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Q. A particle with a mass of 3.3 × 10-20 kg is oscillating with simple harmonic motion with a period of 4× 10-5 s and a maximum speed of 3.3 × 10^3 m/s. calculate (a) angular frequency and (b) maximum displacement of the particle.
Q. Soft drinks are commonly sold in aluminium containers. How a lot of such containers are thrown away or recycled each year by U.S. consumers? (Suppose an average of 2 cans per person each week and the population of 290 million. Type the answer using one of the following formats, 1.2e-3 for 0.0012 and 1.20e+2 for 120.)
A 0.410 kg pendulum bob passes through the lowest part of its path at a speed of 3.13 m/s. What is the tension in the pendulum cable at this point if the pendulum is 76.2 cm long.
A 29.5 kg block is connected to an empty 1kg bucket by a cord running over a frictionless pulley. The coefficient of static friction between the table and the block is 0.50 and the coefficient of kinetic friction between the table and the block is..
Use the binomial expansion to find an approximate expression
A small, 300 {rm g} cart is moving at 1.30 {rm m/s} on an air track when it collides with a larger, 3.00 {rm kg} cart at rest. After the collision, the small cart recoils at 0.890 {rm m/s}.
Needing help, secretary of the United States Department of Agriculture asked your teacher, "If a chicken and a half can lay an egg and a half in a day and a half, how many days will it takes three chickens to lay twenty eggs".
A 6.4g lead bullet traveling at 460m/s is stopped by a large tree. If half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half is transmitted to the tree, what is the increase in te..
A ball dropped from a height of 4.00 m makes an elastic collision with the ground. Assuming no mechanical energy is lost due to air resistance, a) show that the ensuing motion is periodic, b) find the period of the motion.
A bicyclist of mass 75 kg ( including the bicycle) can coast down a 4.0 degree hill at a constant speed of 10 km/h. Pumping hard,the cyclist can descend the hill at a speed of 30 km/h.
An 825-N sled is pulled a distance of 161 m. The task requires 1.50 ^ 10^4 J of work and is done by pulling on a rope with a force of 137 N. At what angle is the rope held.
A trombone has an effective length of 160 cm and the speed of sound in air is 345 m/s. Notes are selected by moving a U-shaped tube in or out to change effective length of the trombone.
Use 9.81 for the magnitude of the acceleration due to gravity.
According to legend, to determine whether the king's crown was made of pure gold, Archimedes measured the crown's volume by find out how much water it displaced. The density of gold is 19.3g/cm^3. If the crown's mass was 6.00 * 10^2g, what volume ..
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