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Q. The rectangular gate CD shown in the figure is 1.8m wide and 2.0 long. Assuming the material of the gate to be homogeneous and neglecting friction at the hinge C, determine the weight of the gate necessary to keep it shut until the water level rises to 2.0m above the hinge.
Q. Ricardo, of mass 74 kg, and Carmelita, who is lighter, are enjoying Lake Merced at dusk in a 33 kg canoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and symmetrically located with respect to the canoe's center. Ricardo notices that the canoe moves 52.6 cm horizontally relative to a pier post during the exchange and calculates Carmelita's mass. What is it?
A car goes round a flat curve at a speed of 32 ms-1. If the radius of the curve is 200 m, find the minimum value for the coefficient of friction so that the car can go around the curve without skidding.
A runner accelerates to a velocity of 4.15 m/s due west in 1.50s. His average acceleration is 0.640 m/s^2, also directed due west. What was his velocity when he began accelerating.
An airplane is flying with a velocity of 82 at an angle of 25 above the horizontal. When the plane is a distance 125 straight above a dog that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the dog will ..
The density of free electrons in gold is 5.90 x 10^28 m-3. The resistivity of gold is 2.44 x 10-8 at a temperature of and the temperature coefficient of resistivity is 0.004 ()-1. A gold wire, 1.30mm in diameter and 27cm long, carries a current of..
Assume you are 80cm from a plane mirror. What area of the mirror is used to reflect rays entering one eye from a point on the tip of your nose if your pupil diameter is 5.60 mm.
A U-shaped tube is open to the air at both ends and is partially filled with Mercury (density = 13,600 kg/m3). Water (density = 1000 kg/m3) is poured into the left arm until the water is 10 cm deep. How long upward from its initial position does t..
If a system in equilibrium with two masses m1 and m2 are placed at distances d1 and d2 from the fulcrum, then f1 d1= f2 d2. Is this the same as saying that m1 d1= m2 d2? Give details.
Objects with masses of 145kg and a 445kg are separated by 0.330m. At what position (other than infinitely remote ones) can the 32kg object be placed so as to experience the net force of zero.
Two charged pith balls are suspended on very light 10.7 cm strings. Each has a mass 11.0 g. In stability, the total angle between the strings is 37 degrees. Draw the free body diagram for one of the pith balls and clearly label all forces with magnit..
What is magnitude of the angular momentum
A water molecule can vibrate in various ways, but the easiest kind of vibration to excite is the "flexing" mode in which the hydrogen atoms move toward and away from each other by HO bonds do not stretch.
The proper length of one spaceship is 2.8 times that of another. The two spaceships are travelling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to be the same length.
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