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Sph2160:Physics I Question Paper
Sph2160:Physics I
Course:Bachelor Of Horticulture
Institution: Meru University Of Science And Technology question papers
Exam Year:2012
QUESTION ONE (30 MARKS)
a) What is the total mechanical energy relative to the ground of a 15 metric ton aircraft flying at a speed of 360mih-1 at an altitude of 35,000ft? (1m=3.28ft, 1km=0.621mi). (6 Marks) b) A relaxed spring with a spring constant of 50Nm-1 is stretched 3cm to x1 and then stretched an additional l3cm to x2. What is the work done in stretching the spring from x1 to x2? (4 Marks) c) A 70kg man and his 40kg daughter on skates stand together on a frozen lake. If they push apart and the father has a velocity of 0.5ms-1eastward, what is the velocity of the daughter? (4 Marks) d) Why are concrete highways made in short sections with tar filled gaps between them? (2 Marks) e) Find a relationship expressing the temperature in degree Fahrenheit in terms of the temperature in Kelvin. (2 Marks) f) You pour 150g of hot coffee at 860C into a 200g glass cup at 220C. If they come into thermal equilibrium quickly what is the final temperature? (specific heat of coffee is 4200Jkg-1K-1 and for glass is 840JKg-1K-1). (4 Marks) g) How many calories are required to change 500g of ice at -140C to steam at 1100C?(specific heat capacity of steam and ice are 2010 and 2090Jkg-1K-1. Lf and lv = 3.34 and 22.6× 105Jkg-1, 1J = 0.239 cai) (5 Marks) h) Show that a = rw is a necessary condition for rolling without slipping. (3 Marks)
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QUESTION TWO (20 MARKS)
a) A dropped object passes a window that is 1.5m tall in 0.21s. From what height above the top of the window was the object released? (8 Marks) b) An automotive is braked to a stop with a uniform deceleration in a time of t seconds. Show that the distance travelled during this time is given by ?? = ??0 2 ?? - 1 2 ????2. (6 Marks) c) An object initially at rest experiences an acceleration of 1.4ms-2 for 6 seconds and then travels at that constant velocity for another 8 seconds. What is the objects average velocity over the 14 seconds interval? (6 Marks)
QUESTION THREE (20 MARKS)
a) What is the angular momentum of a 2g particle moving in a horizontal circle of 15cm radius counter – clockwise as viewed from above and with an angular speed of 6??????????-1 (give the magnitude and direction). (10 Marks) b) Show that if two rigid bodies with the same axis of rotation are stuck together, the moment of inertia of the combined rigid body about the common axis is equal to the sum of individual moments. (?? = ??1 + ??2). (10 Marks)
QUESTION FOUR (20 MARKS)
a) A certain material has a linear expansion coefficient of ??. Show that a good approximation, the volume expansion coefficient, ?? = 3??. (4 Marks) b) The rate of radiation from the sun is determined to be 6.25 × 107????-2. Compute the temperature of the sum (Assume an emissivity of 1). (4 Marks) c) A 50g piece of iron and a 40g piece of copper at the same temperature of 800C are put into an insulated container that has 400g of water and 100g of ice all at 00C. What is the equilibrium temperature? (specific heat of iron and copper are 448 and 390Jkg- 1k-1). (12 Marks)
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