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The momentum p of an object is the product of its mass m and its velocity v, that is, p=mv. Suppose an object, moving along a straight line, is acted on by a force F=F(t) that is a continuous function of time.
a). Show that the change in momentum over a time interval [tsub0, tsub1] is equal to the integral of F from tsub0 to tsub1; that is, show that p(tsub1) - p(tsub0) = the integral from tsub0 to tsub1 F(t)dt.
b). If a pitcher throws a 90 mi/hr fastball to a batter, who hits a line drive directly back to the pitcher.The ball is in contact with the bat for 0.001 s and leaves the bat with velocity 110 mi/hr. A baseball weighs 5 oz and, in U.S Customary units, its mass is measured in slugs: m=w/g where g= 32 ft/s squared. Show steps to find the change in the balls momentum, and show steps to find the average force on the bat.
Two parallel plates, each of area 5.00 cm2, are separated by 2.00 mm with purified nonconducting water between them. calculate the charge stored on each plate
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Two liquids, A and B, are mixed together, and the resulting temp is 22C. If liquid A has mass m and was initially at temp 35C, and liquid B has mass 3m and was initially at temp 11C, cacluatle the ratio of the specific heats of..
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The focal lengths of the objective and the eyepiece in a microscope are 0.29 centimeter and 2.5 centimeter, correspondingly. Obtain the distance between objective and eyepiece
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An air-filled toroidal solenoid has a mean radius of 15.0 and a cross-sectional area of 5.02, What is the least number of turns that the winding must have
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