4. Agent Burt Engle is chasing some more "bad" dudes and dudettes, when he notices his fuel gauge is running close to empty. He is approaching a hill (that makes an incline of 30 degrees with the horizontal) whose height is 49 m when suddenly, while travelling at 32 m/s, the car stalls on him. He desperately tries to re-start the car, only to fail miserably. If the average resistance force is 300 N, and the car has a mass of 800 kg, will Agent Burt Engle make it to the crest of the hill (or will he have to call Agent 001 for some back up)?

A Deadly Virus. On your flight out of South America your cargo plane emergency-lands on a deserted island somewhere in the South Pacific. Because it was a beach landing, the pilot skids the plane on its belly rather than lowering the landing gear. The landing is rough: an initial vertical drop followed by an abrupt horizontal deceleration. When the dust settles, the pilot and your scientist colleagues are all okay, but you know there might be a big problem. Your team is transporting samples of a deadly virus from a recent breakout in a small village. The samples were packed in a cryogenically cooled container that has a special seal that may leak if it exceeds an acceleration greater than 10g. The container has a mechanical accelerometer gauge that measures the maximum vertical deceleration in case the container is dropped. It reads a value of a -7.00g. However, you are still worried: there was another component of the acceleration. You get out of the plane and measure the length of…

13.A 400kg log flume ride is moving at 3 m/sec on the top of a 35-meter hill when it slides down into a pool of water making a huge splash. The log splashes for a distance of 40 meters before coming to a stop. What is the coefficient of friction for the level log/water level part of surface? 35 m 40 m

1. The figure below shows a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the cord is pulled over a pulley, of negligible mass and friction and at cord height h = 1.20 m, so the cart slides from x1 = 3.00 m to x2 = 1.00 m. During the move, the tension in the cord is a constant 25.0 N. What is the change in the kinetic energy of the cart during the move? Tensions T1 and T2 are equal in magnitude, but try both ways to solve the problem: (a) T1 pulls the cord and the cart together. (b) T2 pulls the cart only. Both ways should lead to the same answer. T1 h T2

A 1,865.66 kg car at rest at the top of a hill 20 m high is given a nudge and begins to roll down the hill.  It rolls up a 8.39 m hill on the other side.  How fast is it moving as it tops the lower hill?

1. A box is being pulled up a 40° incline by a 7.0 kg block suspended from a frictionless, massless pulley. The box does not start at the very bottom of the incline. The block is suspended 2.0 m above the ground. The coefficient of kinetic friction between the box and the incline is 0.40. The block is released from rest. At the moment the block hits the ground, the box is traveling at 2.0 m/s up the incline. What is the mass of the box?

A commercial jet is coming in for landing. Just before it hits the runway it is moving 76m/s. Plane has a mass of 20,000kg. The runway is 1.6km long and the plane needs to stop before the end of the runway. How large is the braking force the airplane needs to stop safely?

A 128 lb person steps into an elevator at the ground floor. The elevator accelerates upward at 5.0 ft/s^2 until reaching a velocity of 24 ft/s. It then holds this velocity until decelerating (a=-5.0 ft/s^2) to a stop at the top floor. What is the normal force on the person in each of the three phases of this trip?

You want the final speed at the bottom of your roller coaster hill to be 25 m/s. What is the height (h) of the hill to achieve this?  Use g = 9.8 m/s2

A commercial airplane is coming in for a landing. Just before it hits the runway it is moving at 76 m/s. The plane has a mass of 20,000 kg. The runway is 1.6km long and, obviously, the airplane needs to be stopped before it reaches the end of the runway. How large is the braking force the airplane needs to stop safely before the end of the runway?