Fuel Economy and Second Law of Thermodynamics

The Otto-cycle of a certain car has a compression ratio r=8.5. The fuel economy rating of this car is 25 miles per gallon at 105km/h. Gasoline has a heat of combustion of 4.60x10^7J/kg, and its density is 740kg/m^3.

a> At 105km/h, what is the rate of gasoline consumption in L/h?

b> What is the theoretical eff ...continues

Pulleys

From the diagram determine (a) frictional force (b) acceleration of the system (c) tension in the string (d) net force acting on the 2 dg block. The coefficient of friction is 0.4.

Pulley system

A pulley with one end connected to a 300 gm block and the other connected to an unknown weight(M) has a negligible friction. The tension in the string is given as 2 nt. Determine(a)the acceleration of the 300 gm block. (b) the force acting on the 300 gm block. (c) weight of M in newtons (d) value of the unknown mass M in gms.

acceleration and projectile motion

1) A car starts from rest with an acceleration of 6 m/sec2. After attaining a speed of 30 m/sec it maintains a constant speed. Find (a) the distance traveled in 10 seconds and (b) average speed during in the first 10 seconds. 2)A projectile is fired from the ground with an unknown speed at an angle fo 30 degrees. Its range ...continues

Impulse and Momentum

A small steel ball moving with speed v0 in the positive x-direction makes a perfectly elastic noncentral collision with an identical ball originally at rest. After impact, the first ball moves with speed v1 in the first quadrant at an angle theta1 with the x-axis, and the second moves with speed v2 in the fourth quadrant at an ...continues

x, y-components and magnitude

two cables are supporting a weight of 95 lbs. the force in the cable B is 50 lbs at and angle of 60 degrees. (the two cables come together at an angle of 90 degrees) Determine (a) X-component of vector B. (b) y-component of force A. (c)magnitude of force in cable A. Please explain carefully how to find these. Thanks

Systems of Particles

Refer to attachment: Find (a) the x coordinate and (b) the y coordinate of the center of mass of the remaining piece. What is h (a) initially and (b) when all the soda has drained (c) What happens to h during the draining of the soda ? (d) If x is the height of the remaining soda at any given instant, find x in terms of M , ...continues

conservation of momentum and kinetic energy

A superball has collisions that are nearly prefectly elastic. A superball of mass M is dropped from rest from a height h (where h >> the size of the superball) together with a smaller marble, of mass m; the marble is initially just a little above the top of the superball and remains right over it throughout the fall. The superba ...continues

Finding the coefficient of friction

A cylinder of mass M and radius R rests on an inclined plane. It is held in place by a horizontal string that is attached to the edge of the cylinder. If the angle that the plane makes with the horizontal is theta, and the coefficient of static friction between the cylinder and the plane is u, what is the smallest value of U tha ...continues

rotational inertia and angular velocity

A solid door of mass M = 20kg and width l= 1m is hit at a right angle by a mud ball of mass m = .5kg, which hits the door at the edge with speed v= 10m/s and sticks. (a) What is the rotational inertia of the door about the hinges? (b) What is the angular velocity of the door after having been struck? (c) What fraction of the ini ...continues