Is there any difference between 10 degree C and 10 C degree?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter12: Thermal Energy
Section12.1: Temperature And Thermal Energy
Problem 11SSC
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Is there any difference between 10 degree C and 10 C degree?

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It's math

(i) lim (In x)-
(j) lim xsinr
x→0+
sin 2.x + 2 arctan 3x + 3x²
(k) lim
r-0 In (1+ 3.x + sin? x) + xe™
In cos x
(1) lim
x→0 tan x2
Transcribed Image Text:(i) lim (In x)- (j) lim xsinr x→0+ sin 2.x + 2 arctan 3x + 3x² (k) lim r-0 In (1+ 3.x + sin? x) + xe™ In cos x (1) lim x→0 tan x2
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Follow-up Question
A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Solution
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Follow-up Question
A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Solution
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Follow-up Question
A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin t k
a
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i - 3j+ 2k, find the velocity at any time t>0.
a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k
b) (6-2e*)i +(5 sint-3)j +(3cost-1)k
c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k
d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin t k a If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i - 3j+ 2k, find the velocity at any time t>0. a) (6 - 2e*)i +(5 sint - 3)j +(3cost)k b) (6-2e*)i +(5 sint-3)j +(3cost-1)k c) (6 + 2e*)i +(5 sint + 3)j +(3cost)k d) (6 - 2e*)i +(5 sint +1)j +(3cost)k
Solution
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Follow-up Question
A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin tk
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0.
-
a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k
b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k
c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k
d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin tk a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0. - a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Solution
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Follow-up Question
A particle moves along a curve whose parametric equations are x = 3e¬4, y = 4 sin 3t,
z = 5 cos 3t where t is the time.
Find the magnitudes of the velocity at t=0. a) 10.42
b) 11.42
c) 12.42
d) 13.42
Transcribed Image Text:A particle moves along a curve whose parametric equations are x = 3e¬4, y = 4 sin 3t, z = 5 cos 3t where t is the time. Find the magnitudes of the velocity at t=0. a) 10.42 b) 11.42 c) 12.42 d) 13.42
Solution
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Follow-up Question
Given a space curve C with position vector
r =
3 cos 2t i + 3 sin 2t j + (8t – 4)k
Find a unit tangent vector Urto the curve.
a) (-3/5) sin3t i+(3/5) cos 2t j + (4/5)k
b) (3/5) sin3t i+ (3/5) cos 2t j +(4/5)k
c) (-3/5) sin3t i- (3/5) cos 2t j + (4/5)k
d) (-3/5) sin3t i+ (3/5) cos 2tj - (4/5)k
Transcribed Image Text:Given a space curve C with position vector r = 3 cos 2t i + 3 sin 2t j + (8t – 4)k Find a unit tangent vector Urto the curve. a) (-3/5) sin3t i+(3/5) cos 2t j + (4/5)k b) (3/5) sin3t i+ (3/5) cos 2t j +(4/5)k c) (-3/5) sin3t i- (3/5) cos 2t j + (4/5)k d) (-3/5) sin3t i+ (3/5) cos 2tj - (4/5)k
Solution
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Follow-up Question
A particle travels so that its acceleration is given by
2e-ti + 5 cos tj
3 sin tk
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0.
-
a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k
b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k
c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k
d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj 3 sin tk a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the displacement of the particle at any time t>0. - a) (6t + 2e† - 1)i + (2 - 5 cost - 3t)j +(3 sint - t +2)k b) (6t + 2e* )i + (- 5 cost - 3t)j +(3 sint - t )k c) (2e* - 1)i + (2 - 5 cost )j +(3 sint - t )k d) (6t + 2e* - 1)i + (2 - 5 cost - 3t)j +(3 sint - t)k
Solution
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Follow-up Question
A particle moves along a curve whose parametric equations are x = 3e-2t, y = 4 sin 3t,
z = 5 cos 3t where t is the time.
Find the magnitudes of the acceleration at t=0. a) 46.57
b) 44.57
c) 42.57
d) 40.57
Transcribed Image Text:A particle moves along a curve whose parametric equations are x = 3e-2t, y = 4 sin 3t, z = 5 cos 3t where t is the time. Find the magnitudes of the acceleration at t=0. a) 46.57 b) 44.57 c) 42.57 d) 40.57
Solution
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Follow-up Question
A particle travels so that its acceleration is given by
2e-ti + 5 cos tj – 3 sin t k
a =
If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity
given by 4i – 3j+ 2k, find the magnitude of acceleration at t=0s
a) 4.38
b) 5.38
c) 6.38
d)7.38
Transcribed Image Text:A particle travels so that its acceleration is given by 2e-ti + 5 cos tj – 3 sin t k a = If the particle is located at (1, –3, 2) at time t=0 and is moving with a velocity given by 4i – 3j+ 2k, find the magnitude of acceleration at t=0s a) 4.38 b) 5.38 c) 6.38 d)7.38
Solution
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Follow-up Question
d'r
If r =
(t8 + 2t)i – 3e-2tj + 2 sin 5t k, find
dt2
at t=0.
12
-12
O 21
-21
Transcribed Image Text:d'r If r = (t8 + 2t)i – 3e-2tj + 2 sin 5t k, find dt2 at t=0. 12 -12 O 21 -21
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