(a) An automobile having a mass of 900 kg initially moves along a level highway at 100 km/h relative to the highway. It then climbs a hill whose crest is 50 m above the level highway and parks at a rest area located there. For the automobile, determine its changes in kinetic and potential energy, each in kJ. For each quantity, kinetic energy and potential energy, specify your choice of datum and reference value at that datum. Let g = 9.81 m/s².

1. An object of mass 150 kg is dropped from a height of 400 m with no initial velocity. The body encounters an air resistance proportional to its velocity. If the limiting velocity is known to be 100 m/s, find an expression for the velocity v (in m/s) of the body at any time t (in seconds). Use g = 9.8 m/s². v = 100( 1– e -0.047t B) v = 100[ 1- e -0.085: -0.0231 C) v = 100| 1-e D) v = 100 -0.0981 -e

A century-old platter falls vertically downward. Upon breaking, its fragments fly off parallel to the ground with velocity 1= 2.2 m/s and V2 = 15 m/s. Find mass ml and mass m2 in kg Vi 25.0° m2 45.0° m3 = 1.30 kg 3.07 m/s Select one *a. ml = 13551; m2 = 0.7180 Ob. ml = 1.3551; m2 = 1.1966 O. ml= 1.1966; m2 = 1.3651 Od ml =0.68; m2 = 0.96

The acceleration due to gravity at sea level is g = 32.2 ft/s2 and is decreased 0.003 ft/s2 per 1000 ft of elevation. Find the height (km) above sea level for which the weight of a man is decreased by 7.5%? %3D

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At a certain elevation, the pilot of a balloon has a mass of 125 lb and a weight of 119 lbf. What is the local acceleration of gravity, in ft/s2, at that elevation? If the balloon drifts to another elevation where g = 32.05 ft/s2, what is her weight, in lbf, and mass, in lb?

WITH FRICTION Find the downward acceleration of ml if it has a mass of 40.9 kg and the kinetic coefficient of friction of m2 and m3 to the surface has the same value of 0.2. 5.00 kg T 3.00 kg 173 25.0° Select one: Oa 11.9831 m/s^2 ob 76410 m/s^2 Oc 15.7184 m/s^2 Od 40749 m/s^2

A person weighs 30lb on the moon, where g = 5.32 ft/s2. Cetermine (a) the mass of the person; and (b) the weight of the person on earth.

Two objects form a system. The mass of object 1 is 3 times more massive than the mass of object 2: m₁ = 3m₂. At a certain instant, object 1 is at location (10,-8,6) m, moving with velocity (4,6, -2) m/s. At the same instant, object 2 is at location (3,0, -2) m, moving with velocity (-8,2,7) m/s. a. What is the location of the center of mass? b. What is the velocity of the center of mass? What is the total momentum of the system? C.

A wind turbine has a blade length of 30 m. In a given day, average speed of wind for 5 hours is 9 m/s, average speed of wind for another 9 hours is 11 m/s and wind speed is not sufficient to rotate wind turbine for remaining time in a day. Take Air density p = 1.23 kg/m. Determine the following: a) Maximum possible power output of wind turbine for 6 hours? b) Maximum possible power output of wind turbine for 10 hours? Maximum possible energy output of turbine in a given day?