Watch Barcelona vs PSG x Chapter6-Homework x C AHockey Puck ot www webassign net

Question

Watch Barcelona vs PSG x Chapter6-Homework x C AHockey Puck ot www webassign net webistudent/Assignment Responses yubmit dep 15E96633 e search A skateboarder is practicing on the half-pipe" shown in the figure below, using a special frictionless skateboard. (You can also ignore the kinetic energy of the skateboards wheels.) 4.0 m (a) If she starts from rest at the top of the half ppe, what is her speed at the bottom? (b) If the skateboarder has mass m so kg, what is her apparent weight at the bottom of the half-pipe? (c) what speed does she then have when she reaches the top edge on the other side of the half-pope? (dy Now suppose she has a speed of 1s ms at the bottom of the half pepe. what the highest port she can reach? Hnt Thes point may be above the edge of the half. ppe the dstance from the bottom of the haif pipe.

Explanation / Answer

1)

Potential energy at highest point = Kinetic energy at lowest point

mgh = mv^2 / 2

v = sqrt(2gh )

v = sqrt(2 x 9.8 x 4 )

v = 8.854 m/s

b)

At the bottom, centripetal acceleration is added to gravitational acceleration.

Ac = v^2 / r

Ac = 8.854^2 / 4

Ac = 19.6 m/s^2

W = m*(Ac + g)

W = 50*(19.6 + 9.8)

W = 1470 N

c)

By conservation of energy, all KE is converted to PE, so her speed will be 0 m/s

d)

Potential energy at highest point = Kinetic energy at lowest point

mgh = mv^2 / 2

h = v^2 / (2g)

h = 15^2 / (2 x 9.8)

h = 11.48 m

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