A person is sitting on a toboggan at the top of 23.7 m hill. If the person and toboggan have a total mass of 37.3 kg, determine how fast they will be going when they reach the bottom of the hill. Assume there is no friction.

A 51.2 kg sled coasts down a hill, starting from rest. The hill is inclined at an angle of 20.8 degrees with respect to the horizontal and has a height of 7.25 m. The sled's blades have recently been greased so that the sled slides down the hill without friction. What is the final speed of the sled (in m/s) just as it reaches the bottom of the hill? Use g = 9.81 m/s2.

Problem 2. A bobsleigh 4-man crew accelerates their vehicle to V0=5 m/s before jumping into it and sliding down the racetrack. The total mass of the vehicle and crew is m=630 kg. The runners are made of steel and the kinetic friction coefficient between steel and snow is 0.05. The length of the racetrack is L=1,300m and its vertical drop from start to end is H=115m. a) Ignoring friction and air resistance, what would be the final speed of the bobsleigh at the bottom of the racetrack in m/s, km/h, mph? Does this result depend on the shape of the racetrack? b) Ignoring air resistance but accounting for friction, what would be the final speed of the bobsleigh at the bottom of the racetrack in m/s, km/h, mph? Assume a straight linear racetrack.

You set up a ramp as depicted to practice your skateboard skills. The ramp is a wooden board L=8.0 m long and is propped up between the ground level at one end and h=1.3 m at the other end. You approach the ramp from the left (lower ground) at 11 m/s. How fast are you once you get past the ramp (higher ground)? Assume your mass is 105 kg and friction is negligible.

A single force F(x) = −3.7x (in newtons) acts on a 1.0 kg body. When x = 3.0 m, the speed of the body is 4.8 m/s. What is its speed (in m/s) at x = 1.7 m? m/s

A 6 kg block, initially moving 4 m/s, slides 2.5 m down a ramp that is inclined 20 degrees above horizontal. The coefficient of friction is 0.3. How fast is the block moving after 2.5 m?

(a) Calculate the force needed to bring a 850 kg car to rest from a speed of 90.0 km/h in a distance of 105 m (a fairly typical distance for a nonpanic stop).N(b) Suppose instead the car hits a concrete abutment at full speed and is 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), i.e. find the ratio of the force in part(b) to the force in part(a).(force in part (b) / force in part (a))

A girl on a skateboard (total mass of 33.6 kg) is moving at a speed of 12.0 m/s at the bottom of a long ramp. The ramp is inclined at 23° with respect to the horizontal. If she travels 14.1 m upward along the ramp before stopping, what is the net frictional force on her?

A block of mass m-0.5 kg starts to slide from rest at the top A of a curved track at a height h=4 m. There is no friction between the block and the track between points A and B. Then the block slides along the horizontal surface a distance d before coming to rest at C. The coefficient of kinetic friction on the horizontal surface between points B and C is u = 0.3 (g = 10 m/s2) 4.0 m C %3D 1- Calculate the total energy of the block at the point A 2- Determine the speed of the block at point B 3- Find the distance d between the points B and C.

A 108 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 36.4 degrees with respect to the horizontal and has a height of 1.03 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s².