10. A rollercoaster cart begins at the bottom of a hill at rest. An external motor pulls a 1.2 x 10³ kg cart up to the top of the first hill. The power provided by the motor is 9.9 x10³ W and it takes the cart 35 s to reach the top of the first hill. The cart reaches the top of the first hill and is released with a speed of 7.0 m/s. There is no friction between the track and the cart. A: Pictorial Representation label givers with symbols Event 1: Motor turns on ☆ Event 2: Cart reaches the top of the first hill, motor turns off 32-? Event 3: Cart reaches the top of the second hill. B: Physics Representation energy flow diagrams, energy bar charts Flow 1-2 E+WE+E ys" 10.0 Flow 2-3 E+E+W ·E+E₂

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10. A rollercoaster cart begins at the bottom of a hill at rest. An external motor pulls a 1.2 x 10³ kg cart up to the top
of the first hill. The power provided by the motor is 9.9 x10³ W and it takes the cart 35 s to reach the top of the
first hill. The cart reaches the top of the first hill and is released with a speed of 7.0 m/s. There is no friction
between the track and the cart.
A: Pictorial Representation
label givers with symbols
Event 1: Motor turns on
Event 2: Cart reaches the top of the first hill,
motor turns off
y₂-?
Event 3: Cart reaches the top of the second
hill.
ya
10.0
88317
B: Physics Representation
energy flow diagrams, energy bar charts
E+E
Flow 1-2
Flow 2-3
ÖFF OFF
D: Mathematical Representation
Complete equations, describe steps, algebraic work, substitutions, final answer
(a) What is the total work done by the motor on the cart? (Hint: rearrange the power equation)
(Tum over!)
(b) What is the speed of the cart when it travels over the second hill? (If you could not find the work the motor did
in the previous question, you may assume the total energy of the system at moment 2 is 3.0 x 10³ J)
Transcribed Image Text:10. A rollercoaster cart begins at the bottom of a hill at rest. An external motor pulls a 1.2 x 10³ kg cart up to the top of the first hill. The power provided by the motor is 9.9 x10³ W and it takes the cart 35 s to reach the top of the first hill. The cart reaches the top of the first hill and is released with a speed of 7.0 m/s. There is no friction between the track and the cart. A: Pictorial Representation label givers with symbols Event 1: Motor turns on Event 2: Cart reaches the top of the first hill, motor turns off y₂-? Event 3: Cart reaches the top of the second hill. ya 10.0 88317 B: Physics Representation energy flow diagrams, energy bar charts E+E Flow 1-2 Flow 2-3 ÖFF OFF D: Mathematical Representation Complete equations, describe steps, algebraic work, substitutions, final answer (a) What is the total work done by the motor on the cart? (Hint: rearrange the power equation) (Tum over!) (b) What is the speed of the cart when it travels over the second hill? (If you could not find the work the motor did in the previous question, you may assume the total energy of the system at moment 2 is 3.0 x 10³ J)
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