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Q. A tank of water sits at the edge of a table of height 2.0 m. The tank springs a very small leak at its base, and water sprays out a distance of 1.4 m from the edge of the table. What is the water level h in the tank? (Assume the tank is open to the air at the top.)
Q. A 180 g block is dropped onto a relaxed vertical spring that has a spring constant of k = 2.9 N/cm (Fig. 7-44). The block becomes attached to the spring and compresses the spring 18 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by (a) the gravitational force on it and (b) the spring force? (c) What is the speed of the block just before it hits the spring? (Assume that friction is negligible.) (d) If the speed at impact is doubled, what is the maximum compression of the spring?
A sealed tank containing seawater to a height of 11.1 also contains air above the water at a gauge pressure of 2.95. Water flows out from the bottom through a small hole.
An 82 kg lumberjack stands at one end of a 355 kg floating log. Both the log and the lumberjack are at rest initially. If the lumberjack now trots toward the other end of the log with a speed of 2.70 m/s relative to the log, what is the lumberjack's ..
Al moves off with a speed of 8.98 m/sec in one direction and Jo moves off with a speed of 9.70 m/sec in the other. You can assume friction is negligible. What is Al's mass.
A 65kg trampoline artist jumps vertically upward from the top of a platform that is 2 m above the trampoline with a speed of 4.80m/s.
A 0.525 kg ball starts from rest and rolls down the hill with uniform acceleration, travelling 150 m throughout the second 10.0 rm s of its motion.
Without taking the existence of the nebula into consideration, based on its apparent magnitude, how far away does the star in part (b) appear to be? What would the propotion error be in determining the distance if interstellar extinction were negl..
What would be the final temperature of 100g of 16°C water when 107 g of 40°C iron nails are submerged in it? (The specific heat of iron is 0.12 cal/g °C. Here you must equate the heat gained by the water to the heat lost by the nails.)
At one instant a bicyclist is 43 m due east of a park's flagpole, going due south with a speed of 12 m/s. Then 22 s later, the cyclist is 43 m due north of the flagpole, going due east with a speed of 12 m/s.
A 0.255 kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.200 kg puck that is initially moving along the x axis with a velocity of 2.06 m/s. After the collision, the 0.200 kg puck has the speed of 1.02 m/s at an ang..
For the circuit shown below, C = 0.113 µF and = 103 V. The switch throw is rotated to contact b after having been at contact for the long time, and 3.47s later the potential difference across the capacitor is equal to 1/2. What is the value of R.
An electric wire that has a mass of 5 kg for a 20m length is strung between two poles 20 m apart. What should be the tension in the wire if it is to take 0.8 seconds for a pulse to travel along the wire from one pole to the other.
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.
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