Mickey, a daredevil mouse of mass m , is attempting to become the world's first "mouse cannonball." He is loaded into a spring-powered gun pointing up at some angle, and is shot into the air. The gun's spring has force constant k and is initially compressed a distance L from its relaxed position. If Mickey has a constant horizontal speed V while he is flying through the air, how high above his initial location in the gun does Mickey soar? Find an expression for Mickey's maximum height h m in terms of m , V , L , k , and g .

What is the length x of the side of the triangle below? (hint: use the cosine function)

According to newton's second law, when the same force is applied to two objects of different masses, a the object with greater mass will experience a great acceleration, and the object with less mass will experience an even greater acceleration, b. the object with greater mass will experience a smaller acceleration, and the object with less mass will experience a greater acceleration, c. the object with greater mass will experience a greater acceleration, and the object with less mass will experience a smaller acceleration, d. the object with greater mass will experience a small acceleration, and the object with less mass will experience an even smaller acceleration.

The pressure, volume, and temperature of a mole of an ideal gas are related by the equation pv = 8.31t, where p is measured in kilopascals, v in liters, and t in kelvins. use differentials to find the approximate change in the pressure if the volume increases from 14 l to 14.6 l and the temperature decreases from 375 k to 370 k. (round the answer to two decimal places.)