HOMEWORK SET 1

Chapter 1: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39 on pp 15-16.

1.The movie Spiderman brought in $114,000,000 during its opening weekend. Express this amount in (a) gigadollars, (b) teradollars

3.The speed of light is about 0.3 Giga-m/s. Express that in meters/sec.
9. If acceleration is expressed as, a = 2xtp, then find out what the number “p” is (the exponent of t). Here, x is distance, t is time.
13. The irrational number p = 3.14159265358979…..
a. Round this to three significant figures
b. Round it to five sig figs
c. Do it again to 7 s.f.
19. Peacock Mantis Shrimp can crush the shell of a snail by slamming it at 23 m/s. Find how fast this is in (a) feet per second; (b) miles/hour.
25. The largest blue whale observed was 108 feet long. Find that in meters.
29. Woody the Woodpecker can accelerate its beak to 98 m/s2. Express that in feet per square second, ft/s2.
31. a. A Mutchkin is a Scottish unit of liquid measure, about 0.42 liter. This is not a munchkin, which is a fictional small resident of the Land of Oz.) How many mutchkins will fill a cube that measures 1.0 foot on a side? (Convert this to metric first).
b. A noggin is 0.28 mutchkin. Give the conversion factor between noggins and gallons. (Convert gallons to metric first).
More....



Physics 1100, HOMEWORK SET 1, page 2 of 8

39. Antonio just won a $12 million pay out from the local state lottery.
a. If he took all $12 million in quarters, how much mass is that?
b. If he took it all in $1 bills, how heavy, in mass, is that?
Chapter 2: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39, and maybe 53, 63, 65, and 71 on pp 48-54.
Take a look at the diagram below. Imagine leaving your house and walking east to the Library. When you are finished, you turn around and walk west to the local Park. The distance from your house to the park is 0.75 miles and the Library is another 0.6 miles east of that.
How far did you walk, i.e., total distanced from your house to the Library to the Park?
What was your displacement, i.e., net distance from your house to the Park?
H______E_____G
House …………………Park…………………Library
0.75 mi 0.60 mi
3. The golfer, below, stands 10 meters to the west of the hole, and sinks the ball in two putts. His first putt misses the hole and travels 2.5 meters further east of the hole. On his second putt, the ball travels 2.5 meters west and falls in.
a. How far did the ball travel overall?
b. What was the total displacement of the ball?
m________w__r
Golfer dude………………hole…….where ball stops after first putt
10 m 2.5 m
9. The Olympic record for the 200 meter dash was 19.75 seconds in 1988. How fast is that in meters per second? Miles per hour?
More....
Physics 1100, HOMEWORK SET 1, page 3 of 8

13. Radio waves are light waves and thus travel at the speed of light, about 186,000 miles per second. How much time would it take for a radio wave to travel from Earth to the Moon and back? (The Moon is, on average, about 240,000 miles from Earth).
19. A dog named Fido runs back and forth between Jack and Jill, as seen in the diagram below. However, Jack is walking towards Jill at 1.3 m/s while Jill is walking towards Jack at 1.3 m/s. If Fido begins to run when Jack and Jill are 10.0 meters apart, and if he travels at 3.0 m/s, how far will Fido travel when Jack and Jill crash into each other?
>





> <
25. The position of a particle as a function of time is given by this formula: x = (6 m/s)t + (- 2 m/s2)t2.
a. Plot a graph of x vs. t for the time from 0.0 s to 2.0 s.
b. Find the average velocity of the particle from t = 0s to 1.0 sec.
c. Find the average speed during that same time period.
29. The position of a particle as a function of time is given by this formula: x = (2 m/s)t + (- 3 m/s3)t3.
a. Plot a graph of x vs. t for the time from 0.0 s to 1.0 s.
b. Find the average velocity of the particle from t = 0.35 sec to 0.45 sec.
c. Find the average velocity of the particle from t = 0.39 sec to 0.41 sec.


d. Do you expect the instantaneous velocity at t – 0.40 s to be closer to 0.54 m/s, 0.56 m/s, or 0.58 m/s? Explain.
31. Two bows shoot identical arrows with the same launch speed. The accomplish this, the string in bow 1 must be pulled back farther when shooting its arrow than the string in bow 2.
a. Is the acceleration of the arrow shot by bow 1 greater than, less than, or equal to the acceleration of the arrow shot by bow 2?
b. Choose the best explanation from among the following:
More....
Physics 1100, HOMEWORK SET 1, page 4 of 8

I. The arrow in bow 2 accelerates for a great time.
II. Both arrows start from rest.
III. The arrow in bow 1 accelerates for a greater time.
39. Assume that the brakes in your car create a constant deceleration of 4.2 m/s2 regardless of how fast you are driving. If you double your driving speed from 16 m/s to 32 m/s
a. does the time required to stop increase by a factor of two or a factor of four? Explain.
b. Verify your answer by calculating the stopping times for the initial speeds of 16 m/s
c. Verify your answer by calculating the stopping times for the initial speeds of 32 m/s.
53. Approximate 0.1% of the bacteria in the intestine are E coli. These bacteria have been observed to move with speeds of up to 15 m/s (microns per second) and max accelerations of 166 m/s2. Suppose an E coli bacterium in your intestine starts at rest and accelerates at 156 m/s2.
a. How much time is required for the bacterium to reach a speed of 12 m/s?


b. How much distance is required for the bacterium to reach a speed of 12 m/s?
63. A model rocket rises with constant acceleration to a height of 3.2 m, at which point its speed is 26.0 m/s.
a. How much time does it take for the rocket to reach this height?
b. What was the magnitude of the rocket’s acceleration?
c. Find the height and speed of the rocket 0.10 s after launch.
65. A bicyclist named Bob is finishing his repair of a flat tire when a friend named Bill rides by with a constant speed of 3.5 m/s. Two seconds (2.0 s) bob hops on his bike and accelerates at 2.4 m/s2 until he catches up with Bill. b
a. How much time does it take for Bob to catch up with Bill?
b. How far has Bob traveled in this time?
More....
Physics 1100, HOMEWORK SET 1, page 5 of 8

c.What is Bob’s speed when catches up with Bill?
71. Review the image of the car falling off a cliff. The d

river says, “Let’s see if we can go from zero to sixty in three seconds.” Prove the driver right or wrong.
Chapter 3: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39, and 53, on pp 76-80.
1.Suppose that each component of a certain vector is doubled.
By what multiplicative factor does the magnitude of the vector change?
By what multiplicative factor does the direction angle of the vector change?
3.Rank the vectors in figurer 3-31 on page 76 in order of increasing value of their x-component.


9. A baseball diamond is a square with sides 90 feet (27.4 meters) in length. If the positive x-axis is home plate to first base, and if the positive y-axis points from home plate to third base , find the displacement vector of a base runner who has just hit a
a. double (safely hit the ball and made it to second base)
b. triple (safely hit the ball and made it to third base)
c. home run (safely hit the ball and made it all the way back to home plate)


13. In 1755, John Harrison completed his 4th precision chronometer (clock), known as the “H4”. When the minute hand of the H4 indicated 10 minutes past the hour, it extended 3.0 cm in the horizontal direction.
a. How long was the H4’s minute hand?
b. At 10 minutes past the hour was the extension of the minute hand in the vertical direction more than, less than, or equal to 3.0 cm? Explain.
c. Calculate the vertical extension of the minute hand at 10 minutes past the hour.
More....

Physics 1100, HOMEWORK SET 1, page 6 of 8

19. Refer to figure 3-36 on page 78. A refers to a vector.
a. Is the magnitude of A + D greater than, less than, or equal to the magnitude of A + E?
b. Is the magnitude of A + E greater than, less than, or equal to the magnitude of A + F?
25. Vector A points in the negative y-direction and has a magnitude of 5 units. Vector B has twice the magnitude and points in the positive x-direction. Find the direction and magnitude of
a. A + B
b. A – B
c. B - A
29. Vector A has a length of 6.1 meters and points in the negative x-direction.
a. Find the x-component of – 3.7 A.
b. Find the magnitude of the vector – 3.7 A.
31. Find the direction and magnitude of the vectors. x refers to the unit vector.
a. A = (5.0 m)x + (-2.0 m)y
b. B = (-2.0 m)x + (5.0 m)y


c. A + B.
39. A neighborhood cat takes 45 minutes to travel 120 meters due north (+ y-direction) and then takes 17 minutes to travel 72 meters due west (- x-direction). Find the magnitude and direction of its average velocity over its 62 minute jaunt.
53. An airplane pilot wants to fly due north but a 65 km/hour wind blowing eastward makes him make changes. Q
More....
Physics 1100, HOMEWORK SET 1, page 7 of 8
a. In what direction should the pilot head if its relative air speed is 340 km/h?
b. Draw a vector diagram of this
c. If the pilot decreases the plane’s air speed but still wants to fly due north, should the angle found in (a) be increased or decreased?
Chapter 4: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39, and 53, on pp 103-107.
Walking down the street, you toss a ball up into the sky.
If you want the ball to land in your hand when it comes back down, should you toss the ball straight up, forward, or backwards to your movement?
Choose the best explanation
I If the ball is thrown straight up you will leave it behind and it will fall in back of you
II You have to throw the ball in the direction that you are walking
III The ball moves in the forward direction with your walking speed at all times.
3.While walking to class at a constant 1.75 m/s2, you are moving in a direction that is 18.0° north of east. How much time does it take to change your displacement by
a. 20.0 meters east


b. 30.0 meters north
9. Two kids jump/drop off a cliff overhang into a lake. Johnny drops straight down, while Jimmy runs off the cliff with an initial horizontal speed of v0. (Assume no air friction)
a. Is Jimmy’s splashdown speed larger, the same, or less than Johnny’s splashdown speed? (splashdown speed is the vertical speed that the boys hit the water).
b. Choose the best explanation
I. Both kids are in free fall and hence they will have the same splashdown speed.
II. The kids have the same vertical speed but Jimmy has more horizontal speed
More....
Physics 1100, HOMEWORK SET 1, page 8 of 8
III. Johnny hits faster since he goes straight down.
13. An astronaut exploring the asteroid Ceres tosses a rock horizontally at 6.95 m/s. T

he rock falls vertically 1.4 meters and lands a horizontal distance of 8.75 meters from the astronaut. Find the acceleration of gravity on Ceres.
19. There is a tradition in Denver, Colorado, in which children bring their old pumpkins from Halloween and toss them off a 9.0-meter high tower, while trying to hit a target that is 3.5 meters from the base of the tower (See figure 4-15 on page 105). Find the horizontal speed needed to hit the target.
25. A ball rolls off a table at Sea Level on Earth, and falls 0.75 meters to the floor, landing with a speed of 4.0 m/s. Ignore air friction.
A. What is the acceleration of the ball just before it strikes the ground?
b. What was the initial speed of the ball?
c. What initial speed must the ball have it if is to land with a speed of 5.0 m/s?
29. In a baseball game, the second baseman picks up the baseball and tosses it to the first baseman, who catches it at the same level from which is it was thrown. The throw is made with an initial speed of 18.0 m/s at an angle 37.5° from the horizontal.
a. What is the horizontal component of the ball’s velocity just before it’s I caught?
b. How long is the ball “in the air”?


31. A cork shoots out of a champagne bottle at an angle of 35.0° from the horizontal. If the cork travels a horizontal distance 1.30 meters in 1.25 seconds, what was its initial speed?
39. The “hang time” of a punt (the kick of the football in American Football) is 4.50 seconds. If the ball were kicked at an angle of 63.0° to the horizontal and was caught at the same level from which it was kicked, what was its initial speed?


53. A soccer ball is kicked with an initial speed 10.2 m/s in a direction 25.0° above the horizontal. Find the magnitude and direction of its velocity
a. 0.250 seconds after being kicked
b. 0.500 seconds after being kicked
c. Is the ball at its greatest height before or after 0.500 second? Explain.
END
Chapter 1: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39 on pp 15-16.
The movie Spiderman brought in $114,000,000 during its opening weekend. Express this amount in (a) gigadollars, (b) teradollars
The speed of light is about 0.3 Giga-m/s. Express that in meters/sec.
9. If acceleration is expressed as, a = 2xtp, then find out what the number “p” is (the exponent of t). Here, x is distance, t is time.
13. The irrational number p = 3.14159265358979…..
a. Round this to three significant figures
b. Round it to five sig figs
c. Do it again to 7 s.f.
19. Peacock Mantis Shrimp can crush the shell of a snail by slamming it at 23 m/s. Find how fast this is in (a) feet per second; (b) miles/hour.
25. The largest blue whale observed was 108 feet long. Find that in meters.
29. Woody the Woodpecker can accelerate its beak to 98 m/s2. Express that in feet per square second, ft/s2.
31. a. A Mutchkin is a Scottish unit of liquid measure, about 0.42 liter. This is not a munchkin, which is a fictional small resident of the Land of Oz.) How many mutchkins will fill a cube that measures 1.0 foot on a side? (Convert this to metric first).
b. A noggin is 0.28 mutchkin. Give the conversion factor between noggins and gallons. (Convert gallons to metric first).
More....



Physics 1100, HOMEWORK SET 1, page 2 of 8

39. Antonio just won a $12 million pay out from the local state lottery.
a. If he took all $12 million in quarters, how much mass is that?
b. If he took it all in $1 bills, how heavy, in mass, is that?
Chapter 2: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39, and maybe 53, 63, 65, and 71 on pp 48-54.
Take a look at the diagram below. Imagine leaving your house and walking east to the Library. When you are finished, you turn around and walk west to the local Park. The distance from your house to the park is 0.75 miles and the Library is another 0.6 miles east of that.
How far did you walk, i.e., total distanced from your house to the Library to the Park?
What was your displacement, i.e., net distance from your house to the Park?
H______E_____G
House …………………Park…………………Library
0.75 mi 0.60 mi
3. The golfer, below, stands 10 meters to the west of the hole, and sinks the ball in two putts. His first putt misses the hole and travels 2.5 meters further east of the hole. On his second putt, the ball travels 2.5 meters west and falls in.
a. How far did the ball travel overall?
b. What was the total displacement of the ball?
m________w__r
Golfer dude………………hole…….where ball stops after first putt
10 m 2.5 m
9. The Olympic record for the 200 meter dash was 19.75 seconds in 1988. How fast is that in meters per second? Miles per hour?
More....
Physics 1100, HOMEWORK SET 1, page 3 of 8

13. Radio waves are light waves and thus travel at the speed of light, about 186,000 miles per second. How much time would it take for a radio wave to travel from Earth to the Moon and back? (The Moon is, on average, about 240,000 miles from Earth).
19. A dog named Fido runs back and forth between Jack and Jill, as seen in the diagram below. However, Jack is walking towards Jill at 1.3 m/s while Jill is walking towards Jack at 1.3 m/s. If Fido begins to run when Jack and Jill are 10.0 meters apart, and if he travels at 3.0 m/s, how far will Fido travel when Jack and Jill crash into each other?
>





> <
25. The position of a particle as a function of time is given by this formula: x = (6 m/s)t + (- 2 m/s2)t2.
a. Plot a graph of x vs. t for the time from 0.0 s to 2.0 s.
b. Find the average velocity of the particle from t = 0s to 1.0 sec.
c. Find the average speed during that same time period.
29. The position of a particle as a function of time is given by this formula: x = (2 m/s)t + (- 3 m/s3)t3.
a. Plot a graph of x vs. t for the time from 0.0 s to 1.0 s.
b. Find the average velocity of the particle from t = 0.35 sec to 0.45 sec.
c. Find the average velocity of the particle from t = 0.39 sec to 0.41 sec.


d. Do you expect the instantaneous velocity at t – 0.40 s to be closer to 0.54 m/s, 0.56 m/s, or 0.58 m/s? Explain.
31. Two bows shoot identical arrows with the same launch speed. The accomplish this, the string in bow 1 must be pulled back farther when shooting its arrow than the string in bow 2.
a. Is the acceleration of the arrow shot by bow 1 greater than, less than, or equal to the acceleration of the arrow shot by bow 2?
b. Choose the best explanation from among the following:
More....
Physics 1100, HOMEWORK SET 1, page 4 of 8

I. The arrow in bow 2 accelerates for a great time.
II. Both arrows start from rest.
III. The arrow in bow 1 accelerates for a greater time.
39. Assume that the brakes in your car create a constant deceleration of 4.2 m/s2 regardless of how fast you are driving. If you double your driving speed from 16 m/s to 32 m/s
a. does the time required to stop increase by a factor of two or a factor of four? Explain.
b. Verify your answer by calculating the stopping times for the initial speeds of 16 m/s
c. Verify your answer by calculating the stopping times for the initial speeds of 32 m/s.
53. Approximate 0.1% of the bacteria in the intestine are E coli. These bacteria have been observed to move with speeds of up to 15 m/s (microns per second) and max accelerations of 166 m/s2. Suppose an E coli bacterium in your intestine starts at rest and accelerates at 156 m/s2.
a. How much time is required for the bacterium to reach a speed of 12 m/s?


b. How much distance is required for the bacterium to reach a speed of 12 m/s?
63. A model rocket rises with constant acceleration to a height of 3.2 m, at which point its speed is 26.0 m/s.
a. How much time does it take for the rocket to reach this height?
b. What was the magnitude of the rocket’s acceleration?
c. Find the height and speed of the rocket 0.10 s after launch.
65. A bicyclist named Bob is finishing his repair of a flat tire when a friend named Bill rides by with a constant speed of 3.5 m/s. Two seconds (2.0 s) bob hops on his bike and accelerates at 2.4 m/s2 until he catches up with Bill. b
a. How much time does it take for Bob to catch up with Bill?
b. How far has Bob traveled in this time?
More....
Physics 1100, HOMEWORK SET 1, page 5 of 8

c.What is Bob’s speed when catches up with Bill?
71. Review the image of the car falling off a cliff. The d

river says, “Let’s see if we can go from zero to sixty in three seconds.” Prove the driver right or wrong.
Chapter 3: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39, and 53, on pp 76-80.
1.Suppose that each component of a certain vector is doubled.
By what multiplicative factor does the magnitude of the vector change?
By what multiplicative factor does the direction angle of the vector change?
3.Rank the vectors in figurer 3-31 on page 76 in order of increasing value of their x-component.


9. A baseball diamond is a square with sides 90 feet (27.4 meters) in length. If the positive x-axis is home plate to first base, and if the positive y-axis points from home plate to third base , find the displacement vector of a base runner who has just hit a
a. double (safely hit the ball and made it to second base)
b. triple (safely hit the ball and made it to third base)
c. home run (safely hit the ball and made it all the way back to home plate)


13. In 1755, John Harrison completed his 4th precision chronometer (clock), known as the “H4”. When the minute hand of the H4 indicated 10 minutes past the hour, it extended 3.0 cm in the horizontal direction.
a. How long was the H4’s minute hand?
b. At 10 minutes past the hour was the extension of the minute hand in the vertical direction more than, less than, or equal to 3.0 cm? Explain.
c. Calculate the vertical extension of the minute hand at 10 minutes past the hour.
More....

Physics 1100, HOMEWORK SET 1, page 6 of 8

19. Refer to figure 3-36 on page 78. A refers to a vector.
a. Is the magnitude of A + D greater than, less than, or equal to the magnitude of A + E?
b. Is the magnitude of A + E greater than, less than, or equal to the magnitude of A + F?
25. Vector A points in the negative y-direction and has a magnitude of 5 units. Vector B has twice the magnitude and points in the positive x-direction. Find the direction and magnitude of
a. A + B
b. A – B
c. B - A
29. Vector A has a length of 6.1 meters and points in the negative x-direction.
a. Find the x-component of – 3.7 A.
b. Find the magnitude of the vector – 3.7 A.
31. Find the direction and magnitude of the vectors. x refers to the unit vector.
a. A = (5.0 m)x + (-2.0 m)y
b. B = (-2.0 m)x + (5.0 m)y


c. A + B.
39. A neighborhood cat takes 45 minutes to travel 120 meters due north (+ y-direction) and then takes 17 minutes to travel 72 meters due west (- x-direction). Find the magnitude and direction of its average velocity over its 62 minute jaunt.
53. An airplane pilot wants to fly due north but a 65 km/hour wind blowing eastward makes him make changes. Q
More....
Physics 1100, HOMEWORK SET 1, page 7 of 8
a. In what direction should the pilot head if its relative air speed is 340 km/h?
b. Draw a vector diagram of this
c. If the pilot decreases the plane’s air speed but still wants to fly due north, should the angle found in (a) be increased or decreased?
Chapter 4: Problems 1, 3, 9, 13, 19, 25, 29, 31, 39, and 53, on pp 103-107.
Walking down the street, you toss a ball up into the sky.
If you want the ball to land in your hand when it comes back down, should you toss the ball straight up, forward, or backwards to your movement?
Choose the best explanation
I If the ball is thrown straight up you will leave it behind and it will fall in back of you
II You have to throw the ball in the direction that you are walking
III The ball moves in the forward direction with your walking speed at all times.
3.While walking to class at a constant 1.75 m/s2, you are moving in a direction that is 18.0° north of east. How much time does it take to change your displacement by
a. 20.0 meters east


b. 30.0 meters north
9. Two kids jump/drop off a cliff overhang into a lake. Johnny drops straight down, while Jimmy runs off the cliff with an initial horizontal speed of v0. (Assume no air friction)
a. Is Jimmy’s splashdown speed larger, the same, or less than Johnny’s splashdown speed? (splashdown speed is the vertical speed that the boys hit the water).
b. Choose the best explanation
I. Both kids are in free fall and hence they will have the same splashdown speed.
II. The kids have the same vertical speed but Jimmy has more horizontal speed
More....
Physics 1100, HOMEWORK SET 1, page 8 of 8
III. Johnny hits faster since he goes straight down.
13. An astronaut exploring the asteroid Ceres tosses a rock horizontally at 6.95 m/s. T

he rock falls vertically 1.4 meters and lands a horizontal distance of 8.75 meters from the astronaut. Find the acceleration of gravity on Ceres.
19. There is a tradition in Denver, Colorado, in which children bring their old pumpkins from Halloween and toss them off a 9.0-meter high tower, while trying to hit a target that is 3.5 meters from the base of the tower (See figure 4-15 on page 105). Find the horizontal speed needed to hit the target.
25. A ball rolls off a table at Sea Level on Earth, and falls 0.75 meters to the floor, landing with a speed of 4.0 m/s. Ignore air friction.
A. What is the acceleration of the ball just before it strikes the ground?
b. What was the initial speed of the ball?
c. What initial speed must the ball have it if is to land with a speed of 5.0 m/s?
29. In a baseball game, the second baseman picks up the baseball and tosses it to the first baseman, who catches it at the same level from which is it was thrown. The throw is made with an initial speed of 18.0 m/s at an angle 37.5° from the horizontal.
a. What is the horizontal component of the ball’s velocity just before it’s I caught?
b. How long is the ball “in the air”?


31. A cork shoots out of a champagne bottle at an angle of 35.0° from the horizontal. If the cork travels a horizontal distance 1.30 meters in 1.25 seconds, what was its initial speed?
39. The “hang time” of a punt (the kick of the football in American Football) is 4.50 seconds. If the ball were kicked at an angle of 63.0° to the horizontal and was caught at the same level from which it was kicked, what was its initial speed?


53. A soccer ball is kicked with an initial speed 10.2 m/s in a direction 25.0° above the horizontal. Find the magnitude and direction of its velocity
a. 0.250 seconds after being kicked
b. 0.500 seconds after being kicked
c. Is the ball at its greatest height before or after 0.500 second? Explain.
END