Location Height(m) Start A B C D E F 40.0 25.0 28.0 12.0 6.0 14.0 0 PE(J) KE(J) III Energy 0 velocity(m/s)

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a downhill ski race surprisingly little advantage is gained by getting a running start. This is because the initial kinetic energy is small compared with the gain in gravitational potential energy even on small hills. To demonstrate this, find the final speed and the time taken for a skier who skies 65.0 m along a 25° slope neglecting friction for the following two cases. (Note that this time difference can be very significant in competitive events so it is still worthwhile to get a running start.) (a) starting from rest final speed m/s time taken (b) starting with an initial speed of 2.00 m/s final speed m/s time taken Additional Materials O Reading

A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g.  b)Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground - Utop).  c)What is the child's final speed, vf in m/s?

Don't use : Ug= mgh please.

A can of sardines is made to move along an x axis from x = 0.44 m to x = 1.49 m by a force with a magnitude given by F = e-6x, with x in meters and F in Newtons. How much work is done on the %3D can by the force?

A playground slide has a height of 4.5m amd is frictionless. A 30 kg child pushes off from the top of the slide so that they have a speed of 5.5 m/s at the fop of Hhe slide. a) What's the child's speed at the bottom of the slide? b) After the bottom of the slide, child skids along a rough patch of ground If the rough patch is 2.2 m the friction an the child when they veach the end of the rough patoh? c) Imagine the playgronnd had a spring (K= 755 N/m) at the end of the patch. If the child were to collide, how muuh wonla they Compress before returning to rest? that has a coefficient of friction Mk= 2.5 long, how mnch work is done by

A 600-kg roller coaster car starts at a height of 35.0 m.  Assuming negligible energy losses to friction and air resistance, determine the PE, KE, and speed of the car at the carious locations (Start, A, B, C, D, E, and F) along the track.   Round your answers to the nearest whole number.

Please see attached image for question. Thank you

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.

An object of mass m and initial velocity vi is sliding along a frictionless plane. It then goes upan incline, which does have friction, that is raised up by an angle θ above the horizontal. Howmuch energy needs to be released to reduce the object to 1/3 of its original speed? Express youanswer in terms of m, vi, θ, and the distance d traveled along the ramp.