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Determine the current flowing through an element if the charge flow is given by a. q(t)= (3e^-t -5e-^2t) nC b. q(t)= 10sin120πt pC c. q(t)= 20e^-4t cos50t µC

Scenario: A four-horse carriage is accelerating by 6 m/s every three (3) seconds, carrying a total load (including the carriage, the coach man, and the passengers) of 275 kg. If the carriage is traveling for 50 meters along the dirt highway, whose friction value is known to be 451 N,

1. How much work does the four-horse carriage exerted?

2. How many seconds does the four-horse carriage had to attain the power necessary for work?

3. How much kinetic energy does the carriage possess?



A bullet of mass m moving with a horizontal velocity u strikes a stationary wooden block of mass M suspended by a string of length L=50 cm.The bullet emerges out the block with the speed u/4.If M=6m, the minimum value of u so that the block can complete the vertical circle?


. If the lever arm of a screw is 18 inches long and the pitch of the threads is 0.125


inch, how much weight will the jack lift if 50 pounds of force is applied at the end


of the lever arm ignoring friction?

How much pull (F) would it take on the block and tackle rope to lift a 545 pounds


engine?

How much pull (F) would it take on the block and tackle rope to lift a 545 pounds


engine?

How much force will it take to lift a 10 pounds weight with a wheel and axle if the


axle is 2 inches in diameter and the wheel is 10 inches in diameter?

What is the maximum amount of weight that could be pulled up an inclined plane


if the force is limited to 50.75 pounds, the inclined plane is 12.25 feet long, and the


height is 54 inches?

A total weight of 100 pounds is to be lifted using an inclined plane. Determine the


amount of force that would be required if the height is 2.0 ft and the length of the


inclined plane is 12.0 ft.

How many pounds of force would it take for a class three lever to develop 230


pounds of resultant force if applied force arm is 18 and ¼ inches, and the resultant


force arm is 36 and 7/8 inches?

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