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1. A 3-kg sphere makes and inelastic collinsion with a second sphere initially at rest. The two spheres move with a speed equal to one third of the original speed of the 3-kg sphere. What is the mass of the second sphere?
2. A bumper car at an amusement park ride traveling at 0.8m/s collides with an identical car at rest. This second car moves away with a speed of 0.5 m/s. What is the velocity of the first car after the collision?
A 7.05 bullet traveling at 520 m/s embeds itself in a 1.85kg wooden block at rest on a frictionless surface. Find the amplitude of the subsequent simple harmonic motion
A drug prepared for a patient is tagged with 9943Tc, which has a half-life of 6.05 h. What is the decay constant of this isotope
a 1.5-kg mass attached to an ideal massless spring of spring constant of 20N/M oscillates on a horizontal, determine the total energy of the oscillating system
Heather and Matthew walk eastward with the speed of 0.99 m/s east. If it takes them 37 minutes to walk to the store, how far have they walked? Reply in units of km.
Two thin rods of length L are rotating with the same angular speed ? (in rad/s) about axes that pass perpendicularly through one end. Find the kinetic energies of rod A with its attached particle and of rod B
A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.875 rad/s. You, with a mass of 72.3 kg, Calculate the total angular momentum of the system.
Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 25.7° above the horizontal, What is the magnitude of the net torque exerted on the branch by the children
The front 1.20 m of a 1600 kg car is designed as a "crumple zone" that collapses to absorb the shock of a collision.
A stable and highly soluble pollutant is dumped into a lake at the rate of 0.19 tonnes per day. The lake volume is 2E7 m3 and the average water flow-through rate is 8E4 m3 per day
When the door is open and at rest, the door closer exerts a torque of 5.40 NxM. What is the least force that you need to be relevant to the door to hold it open.
For 140 keV gamma rays, the mass attenuation coefficients for hydrogen and oxygen are 0.26 and 0.14 cm^2/g, respectively. What is the mean free path in water at this energy
A device operates in a three process cycle. In process one, the device receives 35kJ of heat and does no work. Determine the COP or efficiency as applicable
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