A skier is skiing down a hill before hitting a flat section. The initial velocity of the skier is zero. Assume that friction and air resistance are negligible. A. Find the gravitational potential energy at point A. (h = 20 m) B. If KE at point C is equal to the gravitational potential energy at point A, find the velocity of the skier at C.
A skier is skiing down a hill before hitting a flat section. The initial velocity of the skier is zero. Assume that friction and air resistance are negligible. A. Find the gravitational potential energy at point A. (h = 20 m) B. If KE at point C is equal to the gravitational potential energy at point A, find the velocity of the skier at C.
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A skier is skiing down a hill before hitting a flat section. The initial velocity of the skier is zero. Assume that friction and air resistance are negligible.
A. Find the gravitational potential energy at point A. (h = 20 m)
B. If KE at point C is equal to the gravitational potential energy at point A, find the velocity of the skier at C. | [Solve for question 2A and 2C] {SHOW ALL WORK} (Use Image for reference)
Expert Solution
Step 1
According to the conservation of energy, total energy of the skier is constant.
Hence, total energy at point A (TEA) is equal to total energy at point C (TEC)
TEA = TEB
PEA + KEA = PEC + KEC
mghA + (1/2)mvA2 = mghC +(1/2)mvB2
Where,
PE = mgh = potential energy
KE = (1/2)mv2 = kinetic energy
m = mass
g = 9.8 m/s2
h = height
v = velocity
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