Physics ch2 - Calculations are to be done to 5 significant...

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Calculations are to be done to 5 significant places. All work must be shown. Draw diagram when possible. 1. A body with initial velocity 8.0 m/s moves along a straight line with constant acceleration and travels 640 m in 40 s. For 40 s interval, find a) the average velocity, b) the final velocity, and c) the acceleration. a) The average velocity is 640 16.000 16 / 40 x m v m s t s = = = = b) 2 1 2 o x v t at ∆ = + 2 2 2 o x v t a t ∆ - = 2 2 2 2 2 o o o o o v v at x v t v v t t x v t v v t = + ∆ - = + ∆ - = + The final velocity is 2(640 ) 2(8.0 / )(40 ) (8.0 / ) 24.000 24 / (40 ) m m s s v m s m s s - = + = = c) From part b) the acceleration is 2 2 2 o d v t a t - = 2 2 2(640 ) 2(8.0 / )(40 ) 0.40000 0.40 / (40 ) m m s s a m s s - = = = 2. A box slides down an incline with uniform acceleration. It starts from rest and attains a speed of 2.7 m/s in 3.0 s. Find a) the acceleration, b) the distance moved in the first 6.0 s. a) The acceleration is 1 o v v a t - = 2 2.7 / 0 / 0.90000 0.90 / 3.0 m s m s a m s s - = = =
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b) The distance traveled is 2 1 2 o x v t at ∆ = + Since v 0 = 0, then 2 1 2 x at ∆ = 2 2 1 (0.90 / )(6.0 ) 16.200 16.2 2 x m s s m ∆ = = = 3. An auto’s velocity increases uniformly from 6.0 m/s to 20 m/s while covering 70 m in a straight line. Find the acceleration and the time taken. 2 1 2 o x v t at ∆ = + (1) o v v at = + (2) From (2) o v v a t - = Substitute in (1): 2 1 2 1 ( ) 2 1 ( ) 2 o o o o o v v x v t t t x v t v v t x v v t - ∆ = + ∆ = + -
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This note was uploaded on 03/16/2011 for the course PHYS 1 taught by Professor Landen during the Winter '11 term at Macomb Community College.

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Physics ch2 - Calculations are to be done to 5 significant...

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