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An injured monkey sits perched on a tree branch 4.5 m above the ground, while a wildlife veterinarian is kneeling down in the bushes 81.5 m away attempting to subdue the monkey with a tranquilizer gun. The vet knows that the moment the gun fires the monkey will be frightened and fall down from the branch. What angle up from the ground must the hunter aim the gun so that the tranquilizer dart will hit the falling monkey? Given the angle above, what is minimum speed the tranquilizer dart must leave the gun to still hit the monkey?
How much energy is lost through the walls of the hot water heater in one week? (Assume thinner surface of the heater is 90 C and the outer surface is 27 C.)
A laboratory ultracentrifuge is designed to produce a centripetal acceleration of 5.0 x 10^6 g at a distance of 4.00cm from the axis. What angular velocity in rev/min is necessary.
A block of weight W can slide on a horizontal surface. A force of W/n1 is applied to the right that causes the block to accelerate with acceleration equal to g/n2. g is the acceleration by reason of gravity. If the coefficient of kinetic friction is ..
A drunk driver in a 1600 kg car plows into a 1500 kg parked car with its brake set. Police measurements show that the two cars skid together a distance of 19 m before stopping. If the effective coefficient of friction is 0.78, how fast was the dru..
An atomic nucleus of mass m travelling with speed v collides elastically with a target particle of mass 2.000m (at first at rest) and is scattered at 90.
Three equal point charges, each with charge 1.35 mu C, are located at the vertices of an equilateral triangle whose sides are of length 0.60m. What is an electric potential energy U of the system? (Take as zero the potential energy of the three ch..
An intergalactic rock star bangs his drum every 1.52 s. A person on earth measures that time between beats is 2.10 s. How fast is the rock star moving relative to the earth.
Suppose that when you ride on your 8.50 kg bike the weight of you and the bike is supported equally by the two tires. If the gauge pressure in the tires is 65.5 lb/in2 and the area of contact between each tire and road is 7.13 cm2, what is your wei..
Driving in your car with a constant speed of 13 m/s, you encounter a bump in the road that has a circular cross section, as indicated in the figure. If the radius of curvature of the bump is r = 29 m, find the apparent weight of a 59-kg person in you..
At one time, television sets used "rabbit-ears" antennas. Such an antenna consists of a pair of metal rods. The length of each rod can be adjusted to be one-quarter of a wavelength of an electromagnetic wave whose frequency is 125 MHz. How long is ea..
The Mini Cooper is rated at the maximum power of 115. hp (1 hp=746 W), when moving at 80km/h. Suppose that the net force accelerating the car is constant.
Two spheres with masses m1 = 820 kg and m2 = 830 kg are separated by 0.230 m. What is the net gravitational force from them on a 3.0 kg sphere located 0.161 m from m1 and 0.069 m from m2? Use a + sign if the direction is towards m2 and a - sign if..
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