A sled is initially given a shove up a frictionless 26.0 incline. It reaches a maximum vertical height 1.50 m higher than where it started at the bottom. a) What was its initial speed?

A roller coaster car travels with a speed of 2.29 m/s at point A, located 10.7m above the ground. Calculate how fast the roller coaster is moving when it reaches point D, 10.7m below point A. Assume the roller coaster is ideal and loses no energy to friction.

C7 17.) A 1 kg block (block A) is released from rest at the top of a 20 m long frictionless ramp that is 7 m high. At the same time, an identical block (block B) is released next to the ramp so that it drops straight down the same 7 m. Find the values for each of the following for the blocks just before they reach ground level. (a) gravitational potential energy Block A ______________ J Block B  ______________ J (b) kinetic energy Block A ____________________ J Block B ____________________ J (c) speed Block A ____________________ m/s Block B ____________________ m/s (d) momentum Block A _______________________ kg·m/s Block B _______________________ kg·m/s

The sledder shown in the figure starts from the top of a frictionless hill and slides down into the valley.  What initial speed Vi does the sledder need to just make it over the next hill?  Assume that the sledder reaches the very peak of the second hill at a very small speed like v=0.

Problem 2: Suppose a car approaches a hill and has an initial speed of 108 km/h at the bottom of the hill. The driver takes her foot off of the gas pedal and allows the car to coast up the hill. a) If the car has the initial speed stated at a height of h = 0, how high, in meters, can the car coast up a hill if work done by friction is negligible?  b) If, in actuality, a 770-kg car with an initial speed of 108 km/h is observed to coast up a hill and stops at a height 20.5m above its starting point, how much thermal energy was generated by friction in J?

a) Find the minimum height h in terms of R so that the cart passes through point A barely without detaching itself from the loop. b) What is the speed of the car at point A if h = 10 m? h A R

Q. In Figure, a block slides along a path that is without friction until the block reaches the section of length L-0.85 m, which begins at height h-2.0m on a ramp of angle 0-45, In that section, the coefficient of kinetic friction is 0.40. The block passes through point A with a speed of 8.0 m/s. If the block can reach point B (where the friction ends), what is its speed there, and if it cannot, what is its greatest height above A? A.8.9 m/s B. 6.9 m/s C. 4.9 m/s D. 2.9 m/s E. 1.9 m/s len buth secin.

A sled is initially given a shove up a frictionless 23 degree incline. It reaches a maximum verticle height 1.22 m higher than where it started at the bottom. What was the initial speed?

A 3500 lb SUV is traveling at 30 mph up a 6% slope when the engine quits. Use work and energy to determine the distance traveled until the vehicle comes to rest (at which point the parking brake is applied). Assume drag forces are negligible.