a)Gayle runs at a speed of 3.80 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 49.5 kg, the sled has a mass of 5.50 kg and her brother has a mass of 30.0 kg.

A daredevil on a motorcycle leaves the end of a ramp with a speed of 39.2 m/s as in the figure below. If his speed is 36.8 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance.   __________ m

A block is placed on a frictionless ramp at a height h; of 14.5 m above the ground. Starting from rest, the block slides down the ramp. At the bottom of the ramp, the block slides onto a frictionless horizontal track without slowing down. At the end of the horizontal track, the block slides smoothly onto a second frictionless ramp. 01 = 43.3° 02 = 19.5° How far along the second ramp does the block travel before coming to a momentary stop, as measured along the incline of the ramp? distance traveled along second ramp: m After the block comes to a complete stop on the second ramp, it will then begin moving back down the second ramp. What is the speed of the block when it is 9.25 m, vertically, above the ground? speed of the block: m/s

In the figure, a 3.8 kg block slides along a track from one level to a higher level after passing through an intermediate valley. The track is frictionless until the block reaches the higher level. There a frictional force stops the block in a distance d. The block's initial speed is vo = 6.1 m/s, the height difference is h = 0.98 m, and pk = 0.588. Find d. μ = 0. -H₂ Number i Units

B PROB 2A: A 12kg-ball attached to the end of a cord is fired from the rest at position A by a spring compressed with an amount of s=1m. When the ball passes just after the position C, the cord is cut and the ball starts making a projectile motion with a velocity Vc. Find the time t for the ball to drop on the ground. C VC 30% L=0.6 m CO wwwwwwww A k-500 N/m Ground

A cart moves to the right along a frictionless track.  What is the minimum speed of the cart at point 1 such that it can reach point 3? Use g = 10 m/s^2. answer choices: 17.3 m/s 10.0 m/s 14.1 m/s depends on the mass of the cart 20.0 m/s

12b

B9

100 m 450 45 m 30 m A skier starts at rest on the frictionless slope shown, 100 m above ground level. What is the skier's speed when she reaches the dip shown at 30 m above ground level? 0 m/s 2. 5.95 m/s 3. 37.1 m/s 4. 25.0 m/s

A roller coaster cart of mass m = 241 kg starts stationary at point A, where h1 = 39.4 m and a while later is at B, where h2 = 10 m. The acceleration of gravity is 9.8 m/s 2 .What is the speed of the cart at B, ignoring the effect of friction? Answer in units of m/s.