#1-6 Physics 2100 Test 1 Summer 2018 g 9.80 m/s Show work in blue book! 1 mi. 16
ID: 1865516 • Letter: #
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#1-6
Physics 2100 Test 1 Summer 2018 g 9.80 m/s Show work in blue book! 1 mi. 1609.344 m 150 pts. total 1 gal. = 3.7854 L Pts. In () 1. (10) A boat uses fuel at a rate of 2.9 mil/gal (miles/gallon) Convert this to cm/. 2. (10) A triangular piece of metal has a mass of 2.4786 g and a thickness of 0.0245 cm. The sides are as shown on the right Calculate the density of the metal with the correct significant figures. 12.3 cm 5.6 cm 3. (10) A bicycle rider starts from rest and has a constant acceleration to a final velocity of 11.2 m/s, traveling a distance of 271.7 m. How long does this take? 4. (15) The positionx in meters at time t in seconds of an object is given by: x = 8 + 2t3-3t . What is the instantaneous acceleration of the obiect at t-1.50 s? 5. (20) A green motorcycle and a yellow motorcycle are initially 600 m apart. The green motorcycle is traveling East with a constant velocity of 29.6 m/s. The yellow motorcycle is traveling West with an initial velocity of-3.76 m/s and a constant acceleration of -0.524 m/s. How long will it be before they meet? 6. (20) Calculate the magnitude and direction angle of the sum of the vectors shown below. (not drawn to scale) 30.0° 14.2 m/s rto 5.19 m/s 15.0Explanation / Answer
1. 2.9 miles /gallon= 123200 cm/L
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2. Density= mass/ volume= 2.4786/(12.3*2.8*0.0245)= 2.9g/cm^3
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3. Acceleration of cyclist
a= v^2/(2s)= 11.2^2/(2*271.7)= 0.2308 m/s^2
Using 1st equation of motion
t= v/a= 11.2/0.2308
t= 48.518 seconds
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4. V= dx/dt= 6t^2- 3
a= dv/dt= 12t
At t= 1.5
a= 18 m/s^2
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Plz atta h other problem seperatsep..goodluck
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