How many a) gallons b) cm^3 are in 10.0 L? How many miles arc in 10 km? How many

Question

How many a) gallons b) cm^3 are in 10.0 L? How many miles arc in 10 km? How many kilometers arc in 10-10^3 ft? The angular momentum (L) pf a particle of mass m moving at constant speed v in a circle of radius r is given by L=mvr. What arc the units of angular momentum in terms of SI base units? Show that the equations x = x_0 + vt, where v is velocity, x and x_0 are lengths. and t is time, is dimensionally correct. What are the units in SI base for the area of trapezoid given by equation A = 1/2 a(b_1 + b_2), where a is the height and b_1, b_2 are the bases. What is the magnitude of the displacement of a car that travels half a lap along a circle that has radius of 150 m? How about when car travels full lap? What are the distance in both causes? A student runs 30m cast, 40m north, and 50m west. What is his displacement? A car accelerate from 50 km/h to 100 km/h in 15 seconds. What is the distance and average speed during accelerating? A student drops a ball from the top of a building. The ball takes 2.8 s to reach the ground a) What was the ball's speed just before hitting the ground? b) What is the height of the building? The student throw stone horizontally with initial speed of 17 m/s from the building. c) What is the height of building if stone hit the ground after 3.2 s? d) How far from the building the stone hit the ground?

Explanation / Answer

Ans (1) (A)1 L= 0.264172 gallons so 10 L= 0.264172= 2.64172 gallons

(B)1 L= 1000 cm^3 so 10 L= 1000*10=10000 cm^3

Ans (2) 1 km = 0.621371 miles so 10 km= 0.621371*10= 6.21371 miles

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