1. Determine the velocity of escape of a particle on Ganymede considering g=6.1x10^-3 miles/s^2. The acceleration of gravity at surface is 0.12g and the size of Ganymede is roughly 3560miles.
1. Determine the velocity of escape of a particle on Ganymede considering g=6.1x10^-3 miles/s^2. The acceleration of gravity at surface is 0.12g and the size of Ganymede is roughly 3560miles.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
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![Pointers:
1. Use 6 decimals for the value of K when solving applications.
2. Format of answer: Provide 2 decimals and place a space before the unit. Example: 123.45_m
3. No unit for population
4. When writing equations with e, provide no space and write exp. Example: u=70-52exp(-0.29t)
OBJECTIVES:
1. Determine the velocity of escape of a particle on Ganymede considering g-6.1x10^-3 miles/s^2. The acceleration of gravity at
surface is 0.12g and the size of Ganymede is roughly 3560miles.
From what pattern was Bernoulli's differential equation derived from?
In Bernoulli's DE, the value of n should not be equal to 0 or 1. What is the end De, if n =0?
2.
3.
4. In the following DE, (3x+6y+2)dx-(2x+4y)dy, what should be the first substitution?
5.
In the following DE, (3x+6y+2)dx+(2x+4y)dy, what method can be used?
6. What is the integrating factor for the homogenous DE, (dz/dx)+zcot x = -x
PROBLEM SOLVING 1:
A substance from outdoors with temperature of 18 degrees Celsius was brought inside at 24 degrees C around 1pm. At 1:03pm, its
temperature rose to 20 degrees C. By 1:07 pm, the substance was placed in an oven with 70 degrees Celsius.
1.
What is k?
2.
What is the constant, c (in degrees Fahrenheit) when it was taken to the oven? [no need to add unit]
3. What is the substance's temperature (in degrees F) when placed in the over? [no unit required]
4. What is the reading (in degrees F) at 1:10pm? [no unit required]
PROBLEM SOLVING 2:
A man dreaming to enjoy 5 million upon his retirement at 60 years old placed a lumpsum at the age of 25 to a certificate of deposit
promising 8.75%.
1.
Using N for the monetary amount and r for the rate of interest, what is the continuous compounding interest general
solution?
2. What is the lumpsum (in Php) he needed to deposit?[no required unit]
3.
However, the available bank rate is 8%, how much more (in Php) should he add? [no required unit]
4.
If he will not add to his original nominal amount, how much longer (in years) will he have to wait to have 5M at the
prevailing rate?[no required unit]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bd66df3-52fe-47c1-81a5-30d81bde69c0%2F8d21de22-798b-4e5b-99d0-60290ddc516f%2Fp9izabr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Pointers:
1. Use 6 decimals for the value of K when solving applications.
2. Format of answer: Provide 2 decimals and place a space before the unit. Example: 123.45_m
3. No unit for population
4. When writing equations with e, provide no space and write exp. Example: u=70-52exp(-0.29t)
OBJECTIVES:
1. Determine the velocity of escape of a particle on Ganymede considering g-6.1x10^-3 miles/s^2. The acceleration of gravity at
surface is 0.12g and the size of Ganymede is roughly 3560miles.
From what pattern was Bernoulli's differential equation derived from?
In Bernoulli's DE, the value of n should not be equal to 0 or 1. What is the end De, if n =0?
2.
3.
4. In the following DE, (3x+6y+2)dx-(2x+4y)dy, what should be the first substitution?
5.
In the following DE, (3x+6y+2)dx+(2x+4y)dy, what method can be used?
6. What is the integrating factor for the homogenous DE, (dz/dx)+zcot x = -x
PROBLEM SOLVING 1:
A substance from outdoors with temperature of 18 degrees Celsius was brought inside at 24 degrees C around 1pm. At 1:03pm, its
temperature rose to 20 degrees C. By 1:07 pm, the substance was placed in an oven with 70 degrees Celsius.
1.
What is k?
2.
What is the constant, c (in degrees Fahrenheit) when it was taken to the oven? [no need to add unit]
3. What is the substance's temperature (in degrees F) when placed in the over? [no unit required]
4. What is the reading (in degrees F) at 1:10pm? [no unit required]
PROBLEM SOLVING 2:
A man dreaming to enjoy 5 million upon his retirement at 60 years old placed a lumpsum at the age of 25 to a certificate of deposit
promising 8.75%.
1.
Using N for the monetary amount and r for the rate of interest, what is the continuous compounding interest general
solution?
2. What is the lumpsum (in Php) he needed to deposit?[no required unit]
3.
However, the available bank rate is 8%, how much more (in Php) should he add? [no required unit]
4.
If he will not add to his original nominal amount, how much longer (in years) will he have to wait to have 5M at the
prevailing rate?[no required unit]
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