1. A skater goes down a parabolic arc ramp. At 4.99 and 5.12 meters, Kinetic Ene

ID: 1419669 • Letter: 1

Question

1. A skater goes down a parabolic arc ramp. At 4.99 and 5.12 meters, Kinetic Energy and Potential Energy are the same.

The skater weighs 60kg, gravity is 9.81N/kg.

Speed at 4.99 meters is 6.22 m/s

Speed at 10 meters is 6.01 m/s

What is the approximate speed of the skater at the point where the kinetic and potential energies are the same? Do I just average them?

2. At the lowest point of the ramp, at 1.51 meters, the skater is at a speed of 10.34 m/s

The skater is 60 kg, gravity is 9.81N/kg

What is the approximate speed of the skater when at the very bottom of the track?

What is the approximate speed of the skater at the point where the kinetic and potential energies are the same? Do I just average them?

When K.E. and P.E. are same, just equate them to find the speed of the skater.

1/2*m*v^2 = m*g*h

Speed,

v = root(2*g*h).

If that height is 4.99 m

v = root(2*9.81*4.99)

= 9.8946 m/s.

For speed at lowest point, x

K.E.x = K.E + P.E.

= 2*K.E.

1/2*m*v'^2 =2*1/2*m*v^2

v'^2 = 2v^2

v' = root (2) * v

= 1.414*9.8946

=13.993 m/s

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.