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Q1. A 16 kg monkey climbs up a mass less rope that runs over a frictionless tree limb and back down to a 15 kg package on the ground (a) what is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground? If, after the package has been lifted, the monkey stops its climb and holds onto the rope, what are (b) magnitude and (c) direction of the monkey's acceleration and (d) tension in the rope?
Q2. A number of people are riding in a hot-air balloon. The combined mass of the people and balloon is 281 kg. The balloon is motionless in the air, since the downward-acting weight of the people and balloon is balanced by an upward-acting 'buoyant' force. If buoyant force remains constant, how much mass have to be dropped overboard so the balloon acquires an upward acceleration of 0.19 m/s2?
What is order of the layers from top to bottom
A piece of unpainted wood barely floats in a container partly filled with water. If container is sealed and then pressurized above atmospheric pressure, does the wood rise, sink, or remain at the similar level.
The basic concepts in optics.
How long does the total trip last
Newton's universal constant of gravitation is G = 6.67 × 10-11 meters cubed (m3) per kilogram per second per second. The Sun's mass is M = 1.9891 x 10^30 kilograms. Earth's orbital period is P = 365.256366 days. Obtain the average radius of Earth's o..
The 2.00 kg object below is released from rest at the height of 5.0 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant k = 450 N/m. The object slides down the ramp and into the spring, compressing it a distance x b..
If a metal wire carries a current of 23.0 mA, how long does it take for 12.0×1020 electrons to pass a given cross-sectional area anywhere along the wire? The magnitude of the charge on an electron is 1.6 × 10-19 C.
A radio controlled car increases its kinetic energy from 4J to 12J over the distance of 2 m. What was the average net force on the car during this interval.
A professor's office door is 0.80 wide, 3.0 high, and 5.0 thick; has the mass of 25; and pivots on frictionless hinges. A "door closer" is attached to the door and the top of door frame.
A thermos contains 165 cm3 of coffee at 85° C. To cool the coffee, you drop two 14-g ice cubes into the thermos. The ice cubes are at first at 0° C and melt completely. What is the final temperature of coffee? Treat the coffee as if it were water.
Two charges are placed on the x axis. One of the charges (q1 = +6.95C) is at x1 = +3.00 cm and the other (q2 = -27.3C) is at x2 = +9.00 cm. Find out the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b..
Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles q1, q2 and q3 correspondingly and released. The approximation sin q = q holds for all three angles, with q3 > q2 > q1. How do angular frequencies of th..
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