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John who is ice skating eastward collides with Mary who is ice skating northward. After the collison the two skaters are entangled and are moving together 37? north of east with a speed of 3.0 m/s. John's mass is 90 kg and Mary's mass is 50 kg. Neglect friction with the ice.
What was John's initial speed?
What was Mary's initial speed?
Given that the goal is to allow all vehicles to come safely to a stop before reaching the intersection, calculate the maximum desired speed limit
a) At what angle (in degrees) should this strip be placed to yield an apparent focal spot size 2.5 mm x 1.5 mm. b) Using this size target, what angle is required to obtain a 2.5 mm x 2.5 mm apparent focal spot
A Carnot engine has 40 g of Helium gas as its working substance. Calculate the work generated by this engine during one cycle
An alpha particle (q = 2e and m = 6.64e-27 kg) is accelerated from rest through a potential difference of 1.2e+5 volts. Find the speed of the particle after being accelerated
The first polarizer is completely vertical, the second is at 75 degrees with the vertical, and the third is at 25 degrees with the vertical. What is the final transmitted intensity if the light passes through these polarizers in the given order
A toy car is driven by a battery of 9V. it draws a current of 2mA. what is the resistance of the car
Find the final velocities of (a) the 2.70-kg ball and of (b) the 7.10-kg ball if the collision is elastic. (c) Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic.
A square solenoid of length 6.82 cm has 212 turns and carries a current of 10.8 A. The sides of the solenoid measure 2.06 cm. find the magnetic flux through the cross-sectional area of the solenoid
You have a pulley 13.8 cm in diameter and with a mass of 2.1 kg. You get to wondering whether the pulley is uniform. What is the moment of inertia if the pulley is uniform
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.
What is the acceleration of a rising hot-air balloon if the ratio of the air density outside the balloon to that inside is 1.37?
Consider an optical gain medium that has two levels at E 1=1.50 eV and E 2=3.50 eV. What is the spontaneous emission wavelength
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