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A spider hangs from a tree branch at the end of a 1.8 m thread of web. She spots a dog running right at her in hot pursuit of a squirrel, and needs to get out of the way fast. She fires a very brief blast from her jetpack, which almost immediately gives her a speed of 3.7 m/s horizontally. She swings up along a circle and comes to a stop when her thread makes an angle q relative to the vertical. What is q in degrees?
A pump is used to send oil (density 800 kg/s) through a hose the diameter of which is 5 times that of the nozzle through which the water exits. what is the gauge pressure of the oil in the pump
What are the wavelength limits of the infrasonic range of the sound spectrum? (Utilize the speed of sound in air.)
A speedboat starts from rest and accelerates at +2.42 m/s2 for 8.71 s. At the end of this time, the boat continues for an additional 4.33 s with an acceleration of +0.654 m/s2. Find the total displacement of the boat
If the radius of a planet is larger than that of Earth by a factor of 9.86. How much bigger is the volume of the planet than Earth's
On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.595m from the axis of rotation of the stool. She is given an angular velocity of 3.05rad/s , after which she pulls the dumbbells in until they ar..
A projectile is fired horizontally from a gun that is 41.0m above flat ground. The muzzle velocity is 260 m/s. What is its speed as it strikes the ground
A golfer tees off on level ground, giving the ball an initial speed of 38.5 m/s and an initial direction of 36.0° above the horizontal. (a) How far from the golfer does the ball land? (Neglect air resistance.)
The drag on ball A in fluid Y (extremely expensive and rare) is to be estimated from tests run on ball B in air (fairly inexpensive fluid). Ball A has a diameter of 1 ft and we want to drag it during fluid Y at 80degreeF at 10 ft/s. Ball B has a diam..
A proton, with mass 1.67 x 10-27 kilogram and charge +1.6 x 10-19 C, is sent with velocity 7.1 x 104 meter per second in the +x direction, Obtain the magnitude and direction of the uniform magnetic field
A pot containing a plant, weighing 10 N is hung from ceiling with a group of bungee cords. If pulled down and released, the pot oscillates vertically by period T= 5s. What is the effective force constant k (in N/m) of the group of the bungee cords?
The end of the cutting cord on a gas-powered weed cutter is 0.15 m in length. If the motor rotates at the rate of 20 rev/s, what is the tangential speed of the end of the cord
A particular engine has a power output of 4.27 kW and an efficiency of 22.2%. The engine expels 7236 J of energy as heat in each cycle. Find the energy absorbed in each cycle
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