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A simple pendulum takes 23.5 seconds to complete 20 cycles. What is the period (T) and frequency of the pendulum?

a car is traveling on a straight road at 19 m/s. the driver sees a bird standing in the road 38 meters ahead and applies the brakes, giving constant deceleration of 5 m/s2.

how far away is the driver from the bird when he stops( assuming the bird doesn't move)


Arlene is stationary relative to the ground. Aiza is riding toward A rlene on her e-bike 5 m/s relative to the ground. Aiza throws a water balloon forward at 3 m/s relative to the e-bike. With what speed does it strike Arlene? (Solution)


Show that the thermal efficiency of the Carnot cycle in terms of the isentropic compression ratio 𝑟𝑘 is given by 𝑒 = 1 − (1 /(𝑟𝑘) 𝑘−1). 


A Carnot engine operating between 900℉ and 90℉ produces 40,000 ft.lb of work. Determine (a) the heat supplied, (b) the change of entropy during heat rejection, (c) the thermal efficiency of the engine.


Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at the four corners of the cycle, starting at the beginning of the isothermal expansion, are 𝑉1 = 10.10 𝐿, 𝑉2 = 14.53 𝐿, 𝑉3 = 226.54 𝐿, 𝑉4 = 157.73 𝐿. The cycle receives 21.1 KJ of heat. Determine the work.


You're standing on the edge of a vertical cliff of height H. The ground below is horizontal. You throw a baseball with speed v in horizontal forward direction. The ball hits the ground below.

Next, your friend throws a second (identical) baseball with the same speed v in forward direction but under an angle π/4 above the horizontal.

The acceleration of gravity is g (pointing downward) and air friction can be ignored.

Derive an expression of the speed v both baseballs should have to touch te ground at exactly the same spot. Express v in the given quantities and constants.


Arlene is stationary relative to the ground. Aiza is riding toward A rlene on her e-bike 5 m/s relative to the ground. Aiza throws a water balloon forward at 3 m/s relative to the e-bike. With what speed does it strike Arlene?


Joana Marie is a swimmer. She swims directly across a river flowing at 4 m/s with a velocity of 2 m/s. What will be the actual velocity of Joana Marie relative to the river? Determine its angle.(solution)


The door of a five star hotel consists of four rectangular glass panels measuring 1.0 m by 2.5 m equally mounted on a rotating rod.Find the moment of inertia of the door with respect to this rod.Consider the dimensions of the rod as negligible compared to the dimensions of the glass panel.


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