PHY 235 Exam 1 Show your work. For example: write down the equation with variabl

Question

PHY 235 Exam 1 Show your work. For example: write down the equation with variables, sove for the unknown variable, write down the equation with numbers, and finally write the answer with units. If you run out of room on the front, finlish on the back 1. Convert the following properties into the specified units: 23.0 inches into 6.39 km into miles 55.0 mi/h into m/s 9.80 m/s into yards/min 7.91 g/mL into kg/m 2. Use dimensional analysis to determine whether the following equation is dimensionally correct LVI ptt where a is acceleration, v is velocity, d is distance, and tis time 1azdid 3. How far does a shuffle board puck go in 3.0 s if it has an initial velocity of 3.4 m/s and a deceleration of 0.62 m/s?

Explanation / Answer

1.

1 in= 2.54 cm

23 in= 58.42 cm

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1km= 0.621 mi

6.39 km= 3.97 mi

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1mi/h= 0.447 m/s

55 mi/h= 24.59 m/s

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1 m/s^2= 3937 yd/min^2

9.8 m/s^2= 38582.677 yd/min^2

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1 g/mL= 1000 kg/m^3

7.91 g/mL= 7910 kg/m^3

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2.

Considering dimensional analysis

a= [ LT^-1][ T^2][L^2T^-2][T]/[L^2T^-2][L^3]

a= [L^-1T^2] [ LT^-2]

So the relation is not dimensionally possible

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3. Using 3rd equation of motion

d= 3.4*3-0.5*0.62* 3^2

d= 7.41 m

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Comment in case any doubt.. good luck

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