In the figure below an object of mass m starts from rest on a roller coaster with negligible friction. A DA B hB C hc D hp (a) What terms are present in the object's mechanical energy? Choose from E O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done against friction O Gravitational potential energy, Spring potential energy, Kinetic energy O Spring potential energy, Kinetic energy, Work done against friction, Gravitational potential energy, Kinetic energy (b) Mechanical energy is conserved Only conservative forces act. (c) Calculate the speed of the object at point D (VD) in terms of the following variables: (g, hÃ, hD) because, there is no friction
In the figure below an object of mass m starts from rest on a roller coaster with negligible friction. A DA B hB C hc D hp (a) What terms are present in the object's mechanical energy? Choose from E O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done against friction O Gravitational potential energy, Spring potential energy, Kinetic energy O Spring potential energy, Kinetic energy, Work done against friction, Gravitational potential energy, Kinetic energy (b) Mechanical energy is conserved Only conservative forces act. (c) Calculate the speed of the object at point D (VD) in terms of the following variables: (g, hÃ, hD) because, there is no friction
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Transcribed Image Text:In the figure below an object of mass m starts from rest on a roller coaster with negligible friction.
A
hA
B
hB
C
hc
Ꭰ
hp
(a) What terms are present in the object's mechanical energy?
Choose from
E
O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done against
friction
O Gravitational potential energy, Spring potential energy, Kinetic energy
Spring potential energy, Kinetic energy, Work done against friction,
Gravitational potential energy, Kinetic energy
because, there is no friction
(b) Mechanical energy is conserved
Only conservative forces ◆
act.
(c) Calculate the speed of the object at point D (VD) in terms of the following variables: (g, ha, hD)
Transcribed Image Text:(c) Calculate the speed of the object at point D (vr) in terms of the following variables:
(g, hh)
Write an algebraic expression; do not use numerical values. To type your
equations, click the MathType popup button (red radical) in the answer box.
Hint: To enter subscripts, press the right-facing arrow next to the superscript/exponent
button.
Vr=
2h₂-√√
OF
0
Vr =
0²
vo vo (0)
4
subscript
(d) What is the relationship between Vr and mass m?
0
v 2+2 (h-hr
O velocity at D is proportional to the mass
O velocity at D is proportional to the square root of mass
o velocity at D is independent of the mass
F
55
(e) How does the speed of the object at point D change if the object at A, starts with a speed
v instead of starting from rest? Write your answer in terms of: v g, h hr
√ Vo
4
Write an algebraic expression; do not use numerical values. To type your
equations, click the MathType popup button (red radical) in the answer box.
Hint: To enter subscripts, press the right-facing arrow next to the superscript/exponent
button.
subscript
Subscripts are case-sensitive so make sure to enter capital letters for the
subscripts.
Note: This question has 7 attempts
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(0)
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(BB)
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