Two astronauts on opposite ends of a spaceship are comparing lunches. one has an apple, the other has an orange. they decide to trade. astronaut 1 tosses the 0.132 �� apple toward astronaut 2 with a speed of 1.25 �/�. the 0.143 �� orange is tossed from astronaut 2 to astronaut 1 with a speed of 1.14 �/�. unfortunately, fruits collide, sending the orange off with a speed 1.03 �/� and an angle of 43.0° with respect to its original direction of motion. using conservation of linear momentum, find the final speed and direction of the apple. assume an elastic collision occurs. give the apple’s direction relative to its original direction of motion.

Astudent is performing an experiment comparing sound and light waves. the student gathers the following data. what conclusion does the student most likely make based on this data? light waves always travel the same speed; however, the speed of sound is determined by the medium that it travels through. all sound waves always have the same energy, so the temperature of the medium does not affect wave speed. light needs to vibrate particles, so it travels fastest in tightly packed solids, while sound does not need a medium, so it travels fastest in a gas. tightly packed particles in solids slow down the light waves; however, sound waves make particles bounce into each other, so they travel faster in solids.

Very large accelerations can injure the body, especially if they last for a considerable length of time. one model used to gauge the likelihood of injury is the severity index ( ), defined as =/ . in the expression, is the duration of the accleration, but is not equal to the acceleration. rather, is a dimensionless constant that = the number of multiples of that the acceleration is equal to. in one set of studies of rear-end collisions, a person's velocity increases by 13.7 km/h with an acceleration of 36.0 m/s2 . let the + direction point in the direction the car is traveling. what is the severity index for the collision?

If the ama of the inclined plane below is 2, calculate the ima and efficiency. ima = efficiency =