Find out the velocity of the center of mass of the system
A 1600 kg car is moving westward with a speed of 20 m/s, and a 2800 kg truck is traveling east with a speed of 14 m/s. Find the velocity of the center of mass of the system. (Take east to be the positive x direction.)
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IF the bug falls from a height of 200 m find the speed with which the bug hits the ground if there is no air resistance.
If the angle of depression from the person's eyes to the wreck is 32 degrees, how far away is the accident from the base of the tower?
Assume that a 50-kg skater, on level ice, has built up her speed to 30 km/h. How far will she coast beforethe sliding friction dissipates her energy? (Kinetic energy =1/2 mv2) (b) How does the distance of coasting depend on the mass of the skater?
He wants to mix 100 pounds of caramels in with chocolates and sell the mixture at $8 per pound. How many pounds of chocolates must he add to the mix to achieve this?
Similarly, one additional unit will be occupied for each 2 dollar decrease in rent. What rent should the manager charge to maximize revenue?
For the given cost function C(x) = 16\sqrt{x}+{x^2}/{274625} find the marginal cost at the production level 1700. The production level that will minimize the average cost.
A 2.7-kg block is traveling to the right (the +x direction) at 5.1 m/s, and a second 2.7-kg block is traveling to the left at 1.8 m/s. (a) Find the total kinetic energy of the two blocks.
The reaction is first order. In an experiment, the initial concentration of cyclobutane was 0.00105M. After heating at 450°C for 455 s, this was reduced to 0.00083 M.
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