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2. Height at point A is 30.0 meters with a cart mass of 200.0 kg initially at rest. Point B is at a height of 25.0 meters. Find the KE and PE at points A and B along with the velocity at point B assuming no friction. Show Your Work

2 Height at point A is 300 meters with a cart mass of 2000 kg initially at rest Point B is at a height of 250 meters Find the KE and PE at points A and B along class=

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  • The kinetic energy of the cart at point A is zero and the potential energy is 58,800 J.
  • The kinetic energy of the cart at point B is 9,800 J and the potential energy is 49,000 J.
  • The velocity of the cart at point B is 9.9 m/s.

Kinetic and potential energy at point A and B

At maximum height, velocity is zero and kinetic energy will be zero.

K.E(A) = 0

P.E(A) = mgh = 200 x 9.8 x 30 = 58,800 J

K.E(B) = P.E(A) - P.E(B)

K.E(B) = 58,800 J - (200 x 9.8 x 25)

K.E(B) = 58,800 J - 49,000 J

K.E(B) = 9,800 J

Velocity at point B

K.E = ¹/₂mv²

v² = 2K.E/m

v² = (2 x 9800)/(200)

v² = 98

v = √98

v = 9.9 m/s

Learn more about kinetic energy here: https://brainly.com/question/25959744

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