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Q1. A vertical container with base area measuring 14 cm by 15 cm is being filled with identical pieces of candy, each with a volume of 50 mm3 and a mass of 0.020 g. Suppose that the volume of empty spaces between candies is negligible. If the height of the candies in the container increases at the rate of 0.29cm/s, at what rate (kilograms per minute) does the mass of the candies in container increase?
Q2. A scuba diver shines the flashlight from beneath the surface of water (n = 1.33) such that the light strikes the water-air boundary with the angle of incidence of 37°. At what angle is the beam refracted?
An insulated Thermos contains 145 cm3 of hot coffee at 89.0 °C. You put in an 11.0 g ice cube at its melting point to cool the coffee. By how many degrees (in Celsius) has your coffee cooled once the ice has melted and equilibrium is reached? Treat c..
A car is parked on a steep incline, making an angle of 37.0° below the horizontal and overlooking the ocean, when its brakes fail and it begins to roll. Starting from rest at t = 0, the car rolls down the incline with a constant acceleration of 3...
A toy of mass 0.155 kg is undergoing SHM on the end of a horizontal spring with forces constant 305 N/m. When object is a distance 1.20×10-2 m from its equilibrium position, it is observed to have the speed of 0.255 m/s.
In a car lift, the output plunger has a radius of 9cm. the weight of the plunger and the car is 21600N. What is the gauge pressure of the hydraulic oil used in the operating lift.
The bowling ball has a diameter of 20.6 {rm cm}, and the angle the stick makes with the horizontal is 30.0 {rm ^circ}. You may suppose there is no friction between the stick and the bowling ball, though friction with the floor must be taken into acco..
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 72 person stands on a uniform ladder 4.5 long, that weighs 75. The floor is rough; hence, it exerts both a normal force, and a frictional force, on the ladder. The wall, on the other hand, is frictionless; it exerts only a normal force.
The potential at location A is 393 V. A positively charged particle is released there from rest and arrives at location B with a speed vB. The potential at location C is 781 V, and when released from rest from this spot, the particle arrives at B wit..
An elastic cord is 69 cm long when a weight of 57 N hangs from it but is 70 cm long when the weight of 75 N hangs from it. What is the "spring" constant k of this elastic cord.
What is the ratio of the dynamic viscosity of air to that of water at standard pressure and a temperature of 20?C? Find the ratio of the kinematic viscosity of air to that of water for the same condition?
Define the carrier power, total power and sideband power in the AM signal.
35 kg girl is bouncing on a trampoline. Throughout a certain interval after leaving the surface of the trampoline, her kinetic energy decreases to 170 J from 470 J. How high does she rise during this interval? Avoid air resistance.
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