In the figure below an object of mass m starts from rest on a roller coaster with negligible friction. A hA B hB (a) What terms are present in the object's mechanical energy? Choose from hc (b) Mechanical energy is Only 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, O Gravitational potential energy, Kinetic energy act. Vr= hp (c) Calculate the speed of the object at point D (vr) in terms of the following variables: (g, hAhn E because, there is Write an algebraic expression; do not use numerical values. To type your equations, click the MathType popup button (red radical) in the answer box. 음 0² √0 VO 0 q Hint: To enter subscripts, press the right-facing arrow next to the superscript/exponent button. subscript CANCEL ACCEPT

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
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In the figure below an object of mass m starts from rest on a roller coaster with negligible
friction.
A
hA
B
hB
C
(a) What terms are present in the object's mechanical energy?
Choose from
(b) Mechanical energy is
Only
hc hp
D
O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done
against friction
Vr=
O Gravitational potential energy, Spring potential energy, Kinetic energy
Spring potential energy, Kinetic energy, Work done against friction,
O Gravitational potential energy, Kinetic energy
D
act.
(c) Calculate the speed of the object at point D (vr) in terms of the following variables:
(g, hhr)
Write an algebraic expression; do not use numerical values. To type your
equations, click the MathType popup button (red radical) in the answer box.
19 0² √O VO
10
Q
✓
Hint: To enter subscripts, press the right-facing arrow next to the superscript/exponent
button.
subscript
because, there is
(0)
(BB)
+
E
(d) What is the relationship between Vf and mass m?
T
CANCEL
a
ACCEPT
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 (a) What terms are present in the object's mechanical energy? Choose from (b) Mechanical energy is Only hc hp D O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done against friction Vr= O Gravitational potential energy, Spring potential energy, Kinetic energy Spring potential energy, Kinetic energy, Work done against friction, O Gravitational potential energy, Kinetic energy D act. (c) Calculate the speed of the object at point D (vr) in terms of the following variables: (g, hhr) Write an algebraic expression; do not use numerical values. To type your equations, click the MathType popup button (red radical) in the answer box. 19 0² √O VO 10 Q ✓ Hint: To enter subscripts, press the right-facing arrow next to the superscript/exponent button. subscript because, there is (0) (BB) + E (d) What is the relationship between Vf and mass m? T CANCEL a ACCEPT
(b) Mechanical energy is
Only
act.
(c) Calculate the speed of the object at point D (vr) in terms of the following variables:
(g, hhn
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=
H
0
0²
subscript
Vr =
because, there is
(00)
Vũ Vũ (BB)
00
4
(d) What is the relationship between Vf and mass m?
99 0²
0
✓
+
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
(e) How does the speed of the object at point D change if the object at A, starts with a speed
vinstead of starting from rest? Write your answer in terms of: v4 g, h hr.
√ Vo (0)
4
subscript
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.
T
Subscripts are case-sensitive so make sure to enter capital letters for the
subscripts.
CANCEL
00
00,
a
+
ACCEPT
CANCEL
a
ACCEPT
Transcribed Image Text:(b) Mechanical energy is Only act. (c) Calculate the speed of the object at point D (vr) in terms of the following variables: (g, hhn 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= H 0 0² subscript Vr = because, there is (00) Vũ Vũ (BB) 00 4 (d) What is the relationship between Vf and mass m? 99 0² 0 ✓ + 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 (e) How does the speed of the object at point D change if the object at A, starts with a speed vinstead of starting from rest? Write your answer in terms of: v4 g, h hr. √ Vo (0) 4 subscript 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. T Subscripts are case-sensitive so make sure to enter capital letters for the subscripts. CANCEL 00 00, a + ACCEPT CANCEL a ACCEPT
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Follow-up Question
(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 Vf and mass m?
0
v₂2+2 (h₂h)r
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: Vg, 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
!
No, that's only partially correct.
T
(0)
CANCEL
a
(BB)
ACCEPT
CANCEL ACCEPT
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 Vf and mass m? 0 v₂2+2 (h₂h)r 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: Vg, 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 ! No, that's only partially correct. T (0) CANCEL a (BB) ACCEPT CANCEL ACCEPT
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: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)
Solution
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Follow-up Question
(c) Calculate the speed of the object at point D (vr) in terms of the following variables:
(g, hhr)
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 Vf and mass m?
0
v₂2+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: V4 g, h4 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
!
No, that's only partially correct.
T
(0)
CANCEL
a
(BB)
ACCEPT
CANCEL ACCEPT
Transcribed Image Text:(c) Calculate the speed of the object at point D (vr) in terms of the following variables: (g, hhr) 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 Vf and mass m? 0 v₂2+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: V4 g, h4 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 ! No, that's only partially correct. T (0) CANCEL a (BB) ACCEPT CANCEL ACCEPT
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: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)
Solution
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SEE SOLUTION
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