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Work is done by a substance in reversible non-flow manner in accordance with
𝑉 = 100 𝑓𝑡3 where P is in psia. Evaluate the work done on or by the substance as the
𝑃
pressure increases from 10 psia to 100 psia
What is the shortest distance in which an automobile travelling on a 100km/hr can be stopped. (a) when the friction between the tyre and the road is 0.5 (b) on a wet day when the coefficient of friction is only 0.3
(c) The foothaller kicked the ball and it was caught by the opposing goalkeeper, 4
metres above the ground. The ball was travelling at 10 ms-¹
(i) Calculate the potential energy of the ball just before it was caught.
A chopper drops boxes of relief goods to a group of people stranded in an island. The goods were released 20.0 m above the sea and landed 40.0 m from a point exactly below where the goods were released. What was the velocity of the goods when they were released? What was the velocity of the chopper?
the slope of velocity versus time graph is displacement
If 100ft of atmospheric air at zero Fahrenheit temperature are compressed to a volume of 1ft at a temperature of 200F. what will be the pressure of the air in psi? Ans. 2109 psia (EE board problem)
An automobile tire is inflated to 32 psig pressure at 50 F. After being driven the temperature rise to 75F. Determine the final gage pressure assuming the volume remains constant.
NASA is expected to send a 2600-kg satellite 450 km above the earth’s surface. (a) What is its radius? (b) What speed will it have? (Hint: Earth’s mass is 5.97 x 1024 kg)
A position function of a moving particle is given as a function of time, ~r(t) = (2t 2 + 3t)ˆi + (5t 3 + 2t)ˆj m. (1) (a) What is the average velocity between time t1 = 2 s and t2 = 5 s? (b) What is the average acceleration between time t1 = 2 s and t2 = 5s? (c) What is the instantaneous acceleration of the particle at t2 = 5 s?
The positions of three particles a, b, and c in a 2-D Cartesian coordinate system are given by the coordinates (3, 2), (-4, 3), and (5, -2) respectively. (a) Find the position vectors of each of the particles ~ra, ~rb , and ~rc respectively in unit vector notation along with their magnitudes. (b) If R~ is the resultant of the three vectors, then find out the magnitude and direction of the resultant vector R~ with respect to the positive x-axis. (c) Calculate the angle between the resultant vector R~ and the position vector of Particle c, ~rc.
