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One cubic centimeter of a typical cumulus cloud contains 110 water drops, which have a typical radius of 10 μm. (a) How many cubic meters of water are in a cylindrical cumulus cloud of height 3.1 km and radius 1.1 km? (b) How many 1-liter pop bottles would that water fill? (c) Water has a density of 1000 kg/m3. How much mass does the water in the cloud have?
The force on bullet is given by the formula F=580-(1.8x10^5)t over the time interval t=0 to t=3x10^-3s. F is newtons. Sketch a graph F vs t for t=0 to t=3x10^-3
The floors of a 15 storey building are spaced 3,2m apart. On ground level a man and a woman get into the lift. They go up to the 15th storey. When they go down, the woman gets off on the 5th floor and the man returns to the ground floor. What is the distance traveled by the man?
In what distance will a car skid to a stop on a dry concrete road (µk = 0.7) if its brakes are locked when it is moving at 120 kph?
A cyclist and his bike have a combine mass of 75kg. Find the maximum speed that the cyclist can attain on a level ground when working at a constant rate of 210W. Against a resistance of 21N, with the resistance and rate of working kept constant the cyclist attain an inclination 3.8°. Find the maximum speed of the cyclist up the slope.
Determine the work done by a force
F--> = xy î+ yz ĵ+ xzk̂
in taking a particle along
the path defined by the equation
r(t) = tî + 2t²ĵ + t³k̂e from t=0 to t=1 . Is force conservative?
Using Gauss’ theorem, calculate the flux of the vector field A--> = x³î + x²zĵ + yzk̂
through the surface of a cube of side 2 units.
Determine the direction of maximum increase of the scalar field
f(x,y,z) = xey + z2
at the point O(1,ln2,3)
A 15-kilowatt motor is used to hoist an 800 kg bucket of concrete to the 20th floor of a building under construction to height of 90 m. assuming no energy is lost along the process, how much time is required?
A stone of mass 20g falls from rest from a height 8m calculate it's k.e after falling from a distance of 5m
