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A kayaker paddles with a power output of 60.0 W to maintain a steady speed of 1.40 m/s
a.) Calculate the resistive force exerted by the water on the kayak.
b.) If the kayaker doubles her power output, and the resistive force due to the water remains the same, by what factor does the kayaker's speed change?
A speedboat moving at 33.0 m/s approaches a no-wake buoy marker 100 m ahead. How long does it take the boat to reach the buoy
Find the first and second derivative with respect to x of f(x) = (exp(x/a)-exp(-x/a))/2, where exp(x)=e^x is the exponential function.
Two charges charges of -2.1 micro-coulombs and a charge of +2.1 micro-coulombs are placed on the corners of an equilateral triangle where the length of a side is 44 cm as shown in the sketch below. What is the magnitude of the total electric field..
The vertical displacement of particles in a string, where everything is measured in standard units, meters and seconds, What is the amplitude of the wave
If you are cruising down the road at 50 mph and a policeman with a radar gun (wavelength 1 cm) reflects radar light off your bumper, what wavelength of radar light does he get back
The position of a particle moving with constant acceleration is given by x(t) = 6t2 + 6t + 4, Calculate the average velocity of this particle between t = 6 seconds and t = 10 seconds
A 12.0 kg box resting on the horizontal, frictionless surface is attached to a 5.00 kg weight by a thin, light wire that passes without slippage over the frictionless pulley. The pulley has the shape of the uniform solid disk of mass 2.10kg and diame..
Using a vernier caliper of least count 0.01 cm, the length of a cylinder is measured to be 3.76 cm, and its diameter 1.28 cm. Calculate the probable percent error in the volume
A triangle has its corners located at the points (x,y) = (12.00,15.00), (x,y) = (9.00,8.00) and (x,y) = (0,0). Calculate the area of the triangle
A planet of mass m = 7.05 × 1024 kg is orbiting in a circular path a star of mass M = 4.95 × 1029 kg. The radius of the orbit is R = 8.35 × 107 km
Two billiard balls are initially traveling toward each other at speeds of 1.05 m/s for ball 1 and 3.40 m/s for ball 2. Find their final velocities
A gymnast of mass 56.0 {rm kg} hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 {rm m/s^2} for the acceleration of gravity.
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