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Question: Find the kinetic energy of the rotating body. Use the fact that the kinetic energy of a particle of mass m moving at a speed v is ½ mv2. Slice the object into pieces in such a way that the velocity is approximately constant on each piece.
- Find the kinetic energy of a rod of mass 10 kg and length 6 m rotating about an axis perpendicular to the rod at its midpoint, with an angular velocity of 2 radians per second. (Imagine a helicopter blade of uniform thickness.)
How many students in the school are not members of either the gymnastic team or the chess team. How many students in the school are not members of either the gymnastic team or the chess team?
Using the graph, how much should be spent on advertising to maximize sales? What is the maximum sales level?
Give an example to show that the transitive closure of the symmetric closure of a relation is not necessarily the same as the symmetric closure.
Analyze the flow having potential f(z) = KLog((z - a)/(z - b)) where K is a nonzero real number and a and b are distinct complex numbers.
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
A pomegranate is thrown from ground level straight up into the air at time with velocity 150 feet per second. Its height at time -15tsquared+150t seconds is . Find the time it hits the ground and the time it reaches its highest point. What is the ..
An airplane is flying on a bearing of 265 degrees at 420 kmph. A wind is blowing with a bearing of 170 degrees at 20 mph. Find the actual speed and direction of the plane.
Describe quantity and revenue responses to price changes when the price elasticity of demand takes on the following values: (a) 0, (b) between 0 and 1, (c) 1
At a bottling plant, two machines are used to ll 500 ml bottles of pop. The amount of pop put into each bottle by Machine A is a normal random variable.
the speed of passenger train is 14mph faster than the speed of the freight train the passenger in the same time takes the frieght tarin to travel 180 miles. find the speed of each train.
using a trigonometric substitution, find the transformed integral but do not integrate.
At what values of theta do the two loops intersect? All measurement are in inches, find the green area. Find the length of the border of the shape.
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