A stone with a weight of 5.41 N is launched vertically from ground level with an initial speed of 21.0 m/s, and the air drag on it is 0.263 N throughout the flight. What are (a) the maximum height reached by the stone and (b) its speed just before it hits the ground?

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.

A 52 kg skier starts from rest at height H = 17 m above the end of a ski-jump ramp (see the figure). As the skier leaves the ramp, his velocity makes an angle of 0 = 25° with the horizontal. Neglect the effects of air resistance and assume the ramp is frictionless. (a) What is the maximum height h of his jump above the end of the ramp? (b) If he increased his weight by putting on a 10 kg backpack, what would h be? End of H ramp (a) Number i Units (b) Number i Units >

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 68.3-kg circus performer is fired from a cannon that is elevated at an angle of 52.6° above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.00 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as that of the net into which he is shot. He takes 2.38 s to travel the horizontal distance of 21.3 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism. Number i Units

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 horizontal force of 20 N pulls a block of mass 3.8 kg across a level floor. The coefficient of kinetic friction between the block and the floor is MK = 0.25. If the block begins with a speed of 6.0 m/s and is pulled for a distance of 18 m, what is the final speed of the block? m/s

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.