If a skier at the top of a y = 33.5 m hill that has a slope of θ = 12.10 is able to go down the hill with no friction, what is her speed at the bottom of the hill?

A 30.0-kg child starting from rest slides down a water slide with a vertical height of 10.0 m. What is the child’s speed (a) halfway down the slide’s vertical distance and (b) three-fourths of the way down? (Neglect friction.)

You reach out of a window 15 m above the ground and toss a ball straight up with a speed of 10 m/s. Neglecting air resistance, what is (a) the ball’s maximum height above the ground, and (b) the ball’s speed when it hits the ground? Solve both parts of this problem using kinematics as well as energy conservation, and show that you get the same answers.

A 1400 kg car delivers a constant 42 hp to the drive wheels. We assume the car is traveling on a level road and that all frictional forces may be ignored.Calculate the car's acceleration when its speed is 20 m/s

Maria sets up a simple track for her toy block  (m = 0.30 kg)  as shown in the figure below. She holds the block at the top of the track, 0.54 m above the bottom, and releases it from rest.   (a) Neglecting friction, what is the speed of the block when it reaches the bottom of the curve (the beginning of the horizontal section of track)? m/s(b) If friction is present on the horizontal section of track and the block comes to a stop after traveling 0.80 m along the bottom, what is the magnitude of the friction force acting on the block? N

A skier, starting from rest, coasts down a mountain that makes an angle of 20.0 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.167. She coasts for a distance of 13.5 m before coming to the edge of a cliff. Use the Work-Energy theorem to find her speed at the edge of the cliff.

14. A block is sent sliding down a frictionless ramp. Its speeds at points A and B are 2.00 m/s and 2.60 m/s, respectively. Point A is higher up the ramp than point B. Next, it is again sent sliding down the ramp, but this time its speed at point A is 4.00 m/s. What then is its speed at point B? (a) 2.5 m/s (b) 4.3 m/s (c) 5.4 m/s (d) 6.1 m/s

= 7.50 m. The figure below shows a box with a mass of m = 7.10 kg that starts from rest at point A and slides on a track with negligible friction. Point A is at a height of ha A MET 3.20 m 2.00 m m ha (a) What is the box's speed at point B (in m/s)? m/s What is the box's speed at point C (in m/s)? m/s (b) What is the net work (in J) done by the gravitational force on the box as it moves from point A to point C?

A 58 kg skier is coasting up the hill shown below with speed vi = 10 m/s. ΚΕ Number m/s. Figure 7.37 The skier's initial kinetic energy is partially used in coasting to the top of a rise. What is the final speed on top of the rise assuming that there is no friction acting? 35° m. V = ? Instead, assume that friction acts only on the straight line part of the rise and that the coefficient of friction is 0.24. 2.5 m What is the length of the straight line part of the rise? Number N. What is the normal force acting on skier during the straight line part of the rise? Number m/s. What is the final speed on top of the rise assuming that friction acts only during the straight line part? Number

A daredevil on a motorcycle leaves the end of a ramp with a speed of 29.0 m/s as in the figure below. If his speed is 27.3 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance.