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In a stage production of Peter Pan, the 58 kg actress playing Peter has to fly in vertically, and to be in time with the music, she must be lowered, starting from rest, a distance of 3.4 m in 2 s. Backstage, a smooth surface sloped at 48? supports a counterweight of mass m, as shown in figure below. What is the mass of the counterweight that must be used? The pulley is of negligible mass and is frictionless. The acceleration of gravity is 9.81 m/s 2. Answer in units of kg.
A football is kicked with an initial speed of 10.2 m/s at an angle of 40.00 above the horizontal. It lands on the ground 2.12 s later. Determine the velocity of the football at the pinnacle of its trajectory.
a curve in a road has a banking angle calculated and posted for 80km/h The road is covered with ice so you drive slower than this limit What may happen to your car
Suppose that after a centrifuge in a medical laboratory is turned off it continues to rotate with a constant angular deceleration for 15.5 s before coming to rest. If its initial angular speed was 3410 rpm, what is the magnitude of its angular dece..
Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 30.8 m. Assume the density of the water is 1.00 103 kg/m3 and the air above is at a pressure of 101.3 kPa
A converging lens (f = 14.9 cm) is located 23.0 cm to the left of a diverging lens (f = - 8.99 cm). Find the overall magnification
A thin, flat washer is a disk with an outer diameter of 14 cm and a hole in the center with a diameter of 2 cm. The washer has a uniform charge distribution and a total charge of 8 nC. What is the electric field on the axis of the washer at a dist..
A girl is sledding down a slope that is inclined at 30º with respect to the horizontal, The combined mass of the girl and the sled is 76.5 kg, How much time is required for the sled to travel down a 149-m slope, starting from rest
A cubic meter of some material has a mass of 8000 kg. Find the buoyant force on the block and the tension in the cable
A rifle with a weight of 35 N fires a 3.0-g bullet with a speed of 230 m/s. Find the recoil speed of the rifle
What focal length is necessary for a magnifying lens to produce a magnification of 5 for an object 20cm from the lens
A rectangular coil consists of N=100 closely wrapped turns and hasdimensions a=0.400m and b=0.300m. What is the expected direction of rotation of the coil
Aluminum rivets used in airplane construction are made slightlylarger than the rivet holes and cooled by "dry ice" (solid CO2)before being driven. If the diameter of a hole is 4.460 mm , whatshould be the diameter of a rivet at 23.0 °C, if its diamet..
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