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A child builds a simple cart consisting of a 0.60 m by 1.20 m sheet of plywood of mass 8.5 kg and four wheels, each 20.0 cm in diameter and with a mass of 1.98 kg. It is released from the top of a 15° incline that is 32 m long. Find the speed at the bottom. Assume that the wheels roll along the incline without slipping and that friction between the wheels and their axles can be neglected. (You may assume that the center of mass of the cart starts at very top of the incline.)
An airplane is flying in a horizontal circle at a speed of 520 km/h. If the wings of the plane are tilted 34° to the horizontal, what is the radius of the circle (in m) in which the plane is flying? Assume that the required force is provided entir..
Two capacitors, C1 = 6.00 µF and C2 = 14.0 µF, are connected in parallel, and the resulting combination is connected to a 9.00-V battery. (a) Find the equivalent capacitance of the combination.
A charge of -5 micro-coulombs is placed at x = 0 cm, y = 0 cm. Another charge of -5 micro-coulombs is placed at x = +22 cm, y = -50 cm. When measured counter-clockwise from the x axis, what angle is the electric force vector acting on the charge a..
A heat engine operates in a Carnot cycle between 83.0°C and 353°C. It absorbs 21004 J of energy per cycle from the hot reservoir. What is the mechanical power output of this engine
High speed stroboscopic photographs show that the head of a 246 g golf club is traveling at 56.2 m/s just before it strikes a 47.0 g golf ball at rest on a tee. Find the speed of the golf ball just after impact
White light, which is a mix of all visible wavelengths in the range of 400 nm to 700 nm, What is the thickness of the plate if the next wavelength for which there is constructive interference is 540.6nm
Calculate the maximum value of resistance that can be obtained by combining resistors of 31 , 47 , and 64
A proton is confined within an atomic nucleus of diameter 4.0m. Use a one dimensional model to estimate the smallest range of speeds
A 2.00-nF capacitor with an initial charge of 5.06 µC is discharged through a 1.28-k? resistor. What is the maximum current in the resistor
A 1000 {rm kg} wrecking ball hangs from a 15 {rm m}-long cable. The ball is pulled back until cable makes an angle of 25.0^circle with the vertical. By how much has the gravitational potential energy of the ball changed .
The passengers in a roller coaster car feel 50% heavier than their true weight as the car goes through a dip with a 10.00 radius of curvature. What is the car's speed at the bottom of dip? What is the car's speed at the bottom of the dip?
A copy of The History of the Decline and Fall of the Roman Empire by Edward Gibbon lies exactly in the middle of an otherwise empty 6.1m long bookshelf in Robarts Library. What is the speed at which the librarian raised the shelf
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