Consult Conceptual Example 9 in preparation for this problem. The drawing shows a person who, starting from rest at the top of a cliff, swings down at the end of a rope, releases it, and falls into the water below. There are two paths by which the person can enter the water. Suppose he enters the water at a speed of 13.8 m/s via path 1. How fast is he moving on path 2 when he releases the rope at a height of 3.69 m above the water? Ignore the effects of air resistance. Number i Path 2 Units Path 1

Marisa pushes a 1.635 kg book across a table, accelerating it at a rate of 2.099 m/s^2 over a time period of 1.891 s. If 2.760 watts of power were used to move the book, what distance does the book travel across the table?

pervious question: Same type of track as in the previous problem, this time with d = 4.73 m. The block starts at x = 0, and is given a push to the left with an initial speed of 7.57 m/s, so it starts sliding up the track to the left. At what value of x will the block reverse direction and start sliding back down? New question:  OK, same sort of track, but now with d = 2.12 m. Now suppose the blocks starts on the track at x = 4.10 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?     18.98 m/s     12.47 m/s     8.82 m/s     14.90 m/s

A world-class sprinter running a 100 m dash was clocked at 5.4 m/s 1.0 s after starting running and at 9.8 m/s 1.5 s later. Part A Determine the ratio of his output powers in these time intervals. Po to 1 P1 to 2.5 15 ΑΣΦ ?

The elevator car, including passengers, has a mass of 1800 kg. Each floor of the building is separated by 4 m (i.e., the ground floor is at 0 m, the 1st floor is at 4 m, the 2nd floor is at 8 m, etc.) and the top floor is the 10th floor.  The elevator goes up from the ground floor, accelerates at a constant rate until it reaches the 1st floor at a speed of 1 m/s. It then maintains a constant speed, before decelerating (again at a constant rate) back to rest from the 9th to the 10th floor. a. Assuming that friction and drag forces are negligible, what is the maximum power output required for the elevator motor? b. How much work is done by the tension force (in the cable that pulls the elevator car up) from the ground floor to the 1st floor? From the 1st floor to the 9th floor? From the 9th floor to the 10th floor? c. How much work is done by the gravitational force from the ground floor to the 1st floor? From the 1st floor to the 9th floor? From the 9th floor to the 10th floor?

Sam, whose mass is 80 kgkg , takes off across level snow on his jet-powered skis. The skis have a thrust of 160 NN and a coefficient of kinetic friction on snow of 0.10.1. Unfortunately, the skis run out of fuel after only 15 ss .   What is Sam's top speed? Express your answer to two significant figures and include the appropriate units.   How far has Sam traveled when he finally coasts to a stop? Express your answer to two significant figures and include the appropriate units.

Sherlock Holmes is one of the most famous detectives in fiction literature. Even with limited resources to solve crime in the 1800-1900's, Holmes could solve countless mysteries. A carriage was North-bound traveling at a leisurely pace of 5 km/hr. It collided with a Westward-bound speeding carriage and they stuck together, skidding across the dirt at an North-West direction away from the point of collision. What physics law(s) does Sherlock use to solve this mystery? Conservation of Momentum Conservation of Energy Conservation of Angular Momentum Both Conservation of Momentum and Energy OOO O