(a) A bus having a mass of 6000 kg moves at a velocity of 100 km/h. If it carries 50 passengers having a total mass of 2500 kg, determine the total kinetic energy of the loaded vehicle.

(I) At room temperature, an oxygen molecule, with mass of  5.31x10-26 kg typically has a kinetic energy of about 6.21x10-21J How fast is it moving?

A VW beetle going 80 km/hr East, hits a Mack truck, 10 times the mass of the beetle, head on, going 60 km/hr West. They fuse into one mass. At what speed will they move off together?  In what direction? Will energy be conserved?

A man with a mass of 100kg is running at a speed of 2.5 m/s. From that run, he jumps on a skateboard of mass of 3kg. Assuming no energy lost to friction. Determine the final velocity of the man on the board.

(a) How fast (in m/s) must a 3350 kg elephant move to have the same kinetic energy as a 63.0 kg sprinter running at 11.0 m/s? m/s (b) Discuss how the larger energies needed for the movement of larger animals would relate to metabolic rates. (a) Calculate the force (in N) needed to bring a 1000 kg car to rest from a speed of 85.0 km/h in a distance of 130 m (a fairly typical distance for a non-panic stop). N (b) Suppose instead the car hits a concrete abutment at full speed and brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a). force in (b) force in (a) A car's bumper is designed to withstand a 6.12 km/h (1.7-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.285 m while bringing a 950 kg car to rest from an initial speed of 1.7 m/s. N How fast must a…

52. (II) You drop a ball from a height of 2.0 m, and it bounces back to a height of 1.6 m. (a) What fraction of its initial energy is lost during the bounce? (b) What is the ball's speed just before and just after the bounce? (c) Where did the energy go?

Consider the physics of a rear-end automobile collision in which both cars are engineered to absorb as much energy by crumpling as possible on impact in order to lessen injury to its occupants.  One of the vehicles is stopped at a light, the other runs into it from the rear at 60 km/h.  Assume both vehicles have a mass of 1300 kg (that's typical of a small car) and that there are unrestrained occupants in both with masses of 75 kg.    These are representative of a real situation you might actually experience (though we hope you'll have a seatbelt on). 1.  What is the resulting motion of the pair of cars? 2.  Within the frame of reference of each car, how much momentum does an occupant have after the collision? 3.  If the occupant of the incident car is not protected by an air bag, with what velocity in m/s does he strike the windscreen  following the collision? 4.  Assuming the collision duration is 0.2 seconds, what  acceleration backward does the occupant of the stationary car feel…

(II) An 85-g arrow is fired from a bow whose string exertsan average force of 105 N on the arrow over a distance of75 cm. What is the speed of the arrow as it leaves the bow?

A system consists of three particles, each of mass 4.30 g, located at the corners of an equilateral triangle with sides of 31.0 cm. (a) Calculate the gravitational potential energy of the system. ] (b) Assume the particles are released simultaneously. Describe the subsequent motion of each. Will any collisions take place? Explain.