mass in kilograms. 2. A child weighs 300 N. What is the child's mass in kilograms? In slugs? 3. Suppose an airline allows a maximum of 30 kg for each suitcase a passenger brings along. (a) What is the weight in newtons of a 30-kg suitcase? (b) What is the weight in pounds? 4. The mass of a certain elephant is 1,130 kg. (a) Find the elephant's weight in newtons. (b) Find its weight in pounds.

Inquiry into Physics
8th Edition
ISBN:9781337515863
Author:Ostdiek
Publisher:Ostdiek
Chapter2: Newton's Laws
Section: Chapter Questions
Problem 9P: The engines in a supertanker carrying crude oil produce a net force of 20,000,000 N on the ship. If...
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hi! can you do my assignment? it's physics assignment with problems. can you do step by step solution?

and write down units? Problems: 2, 4, 10, 11, 14, 16, 18, 20, 22, 23 please read image attachment

 

16. On aircraft carriers, catapults are used to accelerate jet
aircraft to flight speeds in a short distance. One such catapult
takes a 18,000-kg jet from 0 to 70 m/s in 2.5 s.
(a) What is the acceleration of the jet (in m/s² and g's)?
(b) How far does the jet travel while it is accelerating?
(c) How large is the force that the catapult must exert on
the jet?
17. At the end of an amusement park ride, it is desirable to bring
a gondola to a stop without having the acceleration exceed
2 g. If the total mass of the gondola and its occupants is
2,000 kg, what is the maximum allowed braking force?
18. An airplane is built to withstand a maximum acceleration of
6 g. If its mass is 1,200 kg, what size force would cause this
acceleration?
19. Under certain conditions, the human body can safely
withstand an acceleration of 10 g.
(a) What net force would have to act on someone with mass
of 50 kg to cause this acceleration?
(b) Find the weight of such a person in pounds, then convert
the answer to (a) to pounds.
20. A race car rounds a curve at 60 m/s. The radius of the curve
is 400 m, and the car's mass is 600 kg.
(a) What is the car's (centripetal) acceleration? What is it in g's?
(b) What is the centripetal force acting on the car?
21. A hang glider and its pilot have a total mass equal to 120 kg.
While executing a 360° turn, the glider moves in a circle with
an 8-m radius. The glider's speed is 10 m/s.
(a) What is the net force on the hang glider?
(b) What is the acceleration?
-22. A 0.1-kg ball is attached to a string and whirled around in a
circle overhead. The string breaks if the force on it exceeds
60 N. What is the maximum speed the ball can have when
the radius of the circle is 1 m?
CHALLENGES
1. The force on a baseball as it is being hit with a bat can be
more than 8,000 lb. No human can push on a bat with that
much force. What is happening in this instance?
2. Two forces, one equal to 15 N and another equal to 40 N, act
on a 50-kg crate resting on a horizontal surface as shown in
Figure 2.55.
(a) What is the net horizontal force on the crate?
(b) What is its horizontal acceleration?
(c) If the crate starts from rest, what is its horizontal speed
after 5 s?
(d) How far has the crate traveled along the surface in this
time?
15 N
50 kg
Figure 2.55 Challenge 2.
80 Chapter.2 Newton's Laws
40 N
3. Why does banking a curve on a highway allow a vehicle to
successfully negotiate the turn at a higher speed?
4. As a horse and wagon are accelerating from rest, the
horse exerts a force of 400 N on the wagon (Figure 2.56).
Illustrating Newton's third law, the wagon exerts an equal
and opposite force of 400 N. Because the two forces are in
opposite directions, why don't they cancel each other and
produce zero acceleration (i.e., no motion)?
23.
On a highway curve with radius 50 m, the maximum force of
static friction (centripetal force) that can act on a 1,000-kg
car going around the curve is 8,000 N. What speed limit
should be posted for the curve so that cars can negotiate it
safely?
24. A centripetal force of 200 N acts on a 1,000-kg satellite
moving with a speed of 5,000 m/s in a circular orbit around
a planet. What is the radius of its orbit?
25. As a spacecraft approaches a planet, the rocket engines on
it are fired (turned on) to slow it down so it will go into
orbit around the planet. The spacecraft's mass is 2,000 kg,
and the thrust (force) of the rocket engines is 400 N. If its
speed must be decreased by 1,000 m/s, how long must the
engines be fired? (Ignore the change in the mass as the fuel
is burned.)
26. A space probe is launched from Earth headed for deep
space. At a distance of 10,000 miles from Earth's center, the
gravitational force on it is 600 lb. What is the size of the force
when it is at each of the following distances from Earth's
center?
(a) 20,000 miles
(b) 30,000 miles
(c) 100,000 miles
27. A hand exerciser utilizes a coiled spring. A force of 89.0 N is
required to compress the spring by 0.0191 m. Find the force
needed to compress the spring by 0.0508 m. What is the
value of the spring constant for this unit?
28. A mass of 0.75 kg is attached to a relaxed spring with k
2.5 N/m. The mass rests on a horizontal, frictionless surface.
If the mass is displaced by 0.33 m, what is the magnitude of
the force exerted on the mass by the spring? If the mass is
then released to execute simple harmonic motion along the
surface, with what frequency will it oscillate?
F
حر
F
Figure 2.56 Challenge 4.
5. Perform the calculation of the force acting between two
70-kg people standing 1 m apart to verify the result given in
Section 2.7 (3.3 × 10-7 N). Show your work.
6. Perhaps you've noticed that the rockets used to put satellites
and spacecraft into orbit are usually launched from pads
near the equator. Why is this so? Is the fact that rockets are
usually launched to the east also important? Why?
7. The acceleration of a freely falling body is not exactly the
same everywhere on Earth. For example, in the Galapagos
Islands at the equator, the acceleration of a freely falling
body is 9.780 m/s², whereas at the latitude of Oslo, Norway, it
is 9.831 m/s². Why aren't these accelerations the same?
8. A 200-kg communications satellite is placed into a
circular orbit around Earth with a radius of 4.23 × 107 m
(26,300 miles) (Figure 2.57).
(
Transcribed Image Text:16. On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a 18,000-kg jet from 0 to 70 m/s in 2.5 s. (a) What is the acceleration of the jet (in m/s² and g's)? (b) How far does the jet travel while it is accelerating? (c) How large is the force that the catapult must exert on the jet? 17. At the end of an amusement park ride, it is desirable to bring a gondola to a stop without having the acceleration exceed 2 g. If the total mass of the gondola and its occupants is 2,000 kg, what is the maximum allowed braking force? 18. An airplane is built to withstand a maximum acceleration of 6 g. If its mass is 1,200 kg, what size force would cause this acceleration? 19. Under certain conditions, the human body can safely withstand an acceleration of 10 g. (a) What net force would have to act on someone with mass of 50 kg to cause this acceleration? (b) Find the weight of such a person in pounds, then convert the answer to (a) to pounds. 20. A race car rounds a curve at 60 m/s. The radius of the curve is 400 m, and the car's mass is 600 kg. (a) What is the car's (centripetal) acceleration? What is it in g's? (b) What is the centripetal force acting on the car? 21. A hang glider and its pilot have a total mass equal to 120 kg. While executing a 360° turn, the glider moves in a circle with an 8-m radius. The glider's speed is 10 m/s. (a) What is the net force on the hang glider? (b) What is the acceleration? -22. A 0.1-kg ball is attached to a string and whirled around in a circle overhead. The string breaks if the force on it exceeds 60 N. What is the maximum speed the ball can have when the radius of the circle is 1 m? CHALLENGES 1. The force on a baseball as it is being hit with a bat can be more than 8,000 lb. No human can push on a bat with that much force. What is happening in this instance? 2. Two forces, one equal to 15 N and another equal to 40 N, act on a 50-kg crate resting on a horizontal surface as shown in Figure 2.55. (a) What is the net horizontal force on the crate? (b) What is its horizontal acceleration? (c) If the crate starts from rest, what is its horizontal speed after 5 s? (d) How far has the crate traveled along the surface in this time? 15 N 50 kg Figure 2.55 Challenge 2. 80 Chapter.2 Newton's Laws 40 N 3. Why does banking a curve on a highway allow a vehicle to successfully negotiate the turn at a higher speed? 4. As a horse and wagon are accelerating from rest, the horse exerts a force of 400 N on the wagon (Figure 2.56). Illustrating Newton's third law, the wagon exerts an equal and opposite force of 400 N. Because the two forces are in opposite directions, why don't they cancel each other and produce zero acceleration (i.e., no motion)? 23. On a highway curve with radius 50 m, the maximum force of static friction (centripetal force) that can act on a 1,000-kg car going around the curve is 8,000 N. What speed limit should be posted for the curve so that cars can negotiate it safely? 24. A centripetal force of 200 N acts on a 1,000-kg satellite moving with a speed of 5,000 m/s in a circular orbit around a planet. What is the radius of its orbit? 25. As a spacecraft approaches a planet, the rocket engines on it are fired (turned on) to slow it down so it will go into orbit around the planet. The spacecraft's mass is 2,000 kg, and the thrust (force) of the rocket engines is 400 N. If its speed must be decreased by 1,000 m/s, how long must the engines be fired? (Ignore the change in the mass as the fuel is burned.) 26. A space probe is launched from Earth headed for deep space. At a distance of 10,000 miles from Earth's center, the gravitational force on it is 600 lb. What is the size of the force when it is at each of the following distances from Earth's center? (a) 20,000 miles (b) 30,000 miles (c) 100,000 miles 27. A hand exerciser utilizes a coiled spring. A force of 89.0 N is required to compress the spring by 0.0191 m. Find the force needed to compress the spring by 0.0508 m. What is the value of the spring constant for this unit? 28. A mass of 0.75 kg is attached to a relaxed spring with k 2.5 N/m. The mass rests on a horizontal, frictionless surface. If the mass is displaced by 0.33 m, what is the magnitude of the force exerted on the mass by the spring? If the mass is then released to execute simple harmonic motion along the surface, with what frequency will it oscillate? F حر F Figure 2.56 Challenge 4. 5. Perform the calculation of the force acting between two 70-kg people standing 1 m apart to verify the result given in Section 2.7 (3.3 × 10-7 N). Show your work. 6. Perhaps you've noticed that the rockets used to put satellites and spacecraft into orbit are usually launched from pads near the equator. Why is this so? Is the fact that rockets are usually launched to the east also important? Why? 7. The acceleration of a freely falling body is not exactly the same everywhere on Earth. For example, in the Galapagos Islands at the equator, the acceleration of a freely falling body is 9.780 m/s², whereas at the latitude of Oslo, Norway, it is 9.831 m/s². Why aren't these accelerations the same? 8. A 200-kg communications satellite is placed into a circular orbit around Earth with a radius of 4.23 × 107 m (26,300 miles) (Figure 2.57). (
magnitude of the force exerted by the trailer on the car for
each situation from greatest to least. If any situations have
the same difference, give them the same ranking. Explain
your reasoning in forming your rankings.
(a) Trailer load
(b) Trailer load =
(c) Trailer load =
(d) Trailer load
10 m/s
10 m/s
1000 kg; vehicle speed
20 m/s
2000 kg; vehicle speed = 20 m/s
4000 kg; vehicle speed
40 m/s
4000 kg; vehicle speed
(e) Trailer load 2000 kg; vehicle speed
(f) Trailer load 1000 kg; vehicle speed
10 m/s
34. A mass m is attached to a spring with spring constant k,
as shown in Figure 2.53. The mass is pulled to the right a
distance of 0.2 m and released. Rank the following spring-
mass combinations according to their oscillation periods
from shortest to longest. If any combinations have the same
period, give them the same rank. You should assume that
=
=
=
=
=
=
=
PROBLEMS
1. Express your weight in newtons. From this determine your
mass in kilograms.
2. A child weighs 300 N. What is the child's mass in kilograms?
In slugs?
3. Suppose an airline allows a maximum of 30 kg for each
suitcase a passenger brings along.
(a) What is the weight in newtons of a 30-kg suitcase?
(b) What is the weight in pounds?
4. The mass of a certain elephant is 1,130 kg.
(a) Find the elephant's weight in newtons.
(b) Find its weight in pounds.
5. The mass of a subway car and passengers is 40,000 kg. If its
acceleration as it leaves a station is 0.9 m/s², what is the net
force acting on it?
6. A motorcycle and rider have a total mass equal to 300 kg.
The rider applies the brakes, causing the motorcycle to
accelerate at a rate of -5 m/s². What is the net force on the
motorcycle?
7. As a 2-kg ball rolls down a ramp, the net force on it is 10 N.
What is the acceleration?
8. In an experiment performed in a space station, a force
of 60 N causes an object to have an acceleration equal to
4 m/s². What is the object's mass?
9. The engines in a supertanker carrying crude oil produce
a net force of 20,000,000 N on the ship. If the resulting
acceleration is 0.1 m/s², what is the ship's mass?
10. The Kingda Ka roller coaster in New Jersey is the world's
tallest ride of its kind. As the passenger cars are launched
from rest at the start, they are accelerated uniformly to a
speed of 57 m/s (128 mph) in just 3.5 s.
(a) What is the acceleration experienced by passengers on
this ride in m/s²? In g's?
(b) If a certain passenger has a mass of 65 kg, what is the
force in newtons that acts on him during the launch
phase of this ride? What is the force in pounds?
11. A person stands on a scale inside an elevator at rest
(Figure 2.54). The scale reads 800 N.
(a) What is the person's mass?
(b) The elevator accelerates upward momentarily at the rate
of 2 m/s². What does the scale read then?
(c) The elevator then moves with a steady speed of 5 m/s.
What does the scale read now?
there is no friction between the mass and the horizontal
surface.
www
Figure 2.53 Question 34.
=
(a) k
0.5 N/m; m = 0.25 kg
(b) k = 0.5 N/m; m =
0.50 kg
(c) k = 0.5 N/m; m =
1.00 kg
(d) k = 1.0 N/m; m =
0.25 kg
(e) k = 1.0 N/m; m =
0.50 kg
800 N
0.2 m
= 2 m/s²
a =
Figure 2.54 Problem 11.
12. A jet aircraft with a mass of 4,500 kg has an engine that
exerts a force (thrust) equal to 60,000 N.
(a) What is the jet's acceleration when it takes off?
(b) What is the jet's speed after it accelerates for 8 s?
(c) How far does the jet travel during the 8 s?
13. At the end of Section 1.4, we mentioned that the maximum
acceleration of a fist during a particular karate blow was
measured to be about 3,500 m/s² just before impact with
the concrete block. If the mass of the fist was approximately
0.7 kg, what was the maximum force delivered to the
concrete block?
14. A sprinter with a mass of 80 kg accelerates uniformly from
0 m/s to 9 m/s in 3 s.
(a) What is the runner's acceleration?
(b) What is the net force on the runner?
(c) How far does the sprinter travel during the 3 s?
15. As a baseball is being caught, its speed goes from 30 to 0 m/s
in about 0.005 s. Its mass is 0.145 kg.
1
(a) What is the baseball's acceleration in m/s² and in g's?
(b) What is the size of the force acting on it?
Problems 79
Transcribed Image Text:magnitude of the force exerted by the trailer on the car for each situation from greatest to least. If any situations have the same difference, give them the same ranking. Explain your reasoning in forming your rankings. (a) Trailer load (b) Trailer load = (c) Trailer load = (d) Trailer load 10 m/s 10 m/s 1000 kg; vehicle speed 20 m/s 2000 kg; vehicle speed = 20 m/s 4000 kg; vehicle speed 40 m/s 4000 kg; vehicle speed (e) Trailer load 2000 kg; vehicle speed (f) Trailer load 1000 kg; vehicle speed 10 m/s 34. A mass m is attached to a spring with spring constant k, as shown in Figure 2.53. The mass is pulled to the right a distance of 0.2 m and released. Rank the following spring- mass combinations according to their oscillation periods from shortest to longest. If any combinations have the same period, give them the same rank. You should assume that = = = = = = = PROBLEMS 1. Express your weight in newtons. From this determine your mass in kilograms. 2. A child weighs 300 N. What is the child's mass in kilograms? In slugs? 3. Suppose an airline allows a maximum of 30 kg for each suitcase a passenger brings along. (a) What is the weight in newtons of a 30-kg suitcase? (b) What is the weight in pounds? 4. The mass of a certain elephant is 1,130 kg. (a) Find the elephant's weight in newtons. (b) Find its weight in pounds. 5. The mass of a subway car and passengers is 40,000 kg. If its acceleration as it leaves a station is 0.9 m/s², what is the net force acting on it? 6. A motorcycle and rider have a total mass equal to 300 kg. The rider applies the brakes, causing the motorcycle to accelerate at a rate of -5 m/s². What is the net force on the motorcycle? 7. As a 2-kg ball rolls down a ramp, the net force on it is 10 N. What is the acceleration? 8. In an experiment performed in a space station, a force of 60 N causes an object to have an acceleration equal to 4 m/s². What is the object's mass? 9. The engines in a supertanker carrying crude oil produce a net force of 20,000,000 N on the ship. If the resulting acceleration is 0.1 m/s², what is the ship's mass? 10. The Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. (a) What is the acceleration experienced by passengers on this ride in m/s²? In g's? (b) If a certain passenger has a mass of 65 kg, what is the force in newtons that acts on him during the launch phase of this ride? What is the force in pounds? 11. A person stands on a scale inside an elevator at rest (Figure 2.54). The scale reads 800 N. (a) What is the person's mass? (b) The elevator accelerates upward momentarily at the rate of 2 m/s². What does the scale read then? (c) The elevator then moves with a steady speed of 5 m/s. What does the scale read now? there is no friction between the mass and the horizontal surface. www Figure 2.53 Question 34. = (a) k 0.5 N/m; m = 0.25 kg (b) k = 0.5 N/m; m = 0.50 kg (c) k = 0.5 N/m; m = 1.00 kg (d) k = 1.0 N/m; m = 0.25 kg (e) k = 1.0 N/m; m = 0.50 kg 800 N 0.2 m = 2 m/s² a = Figure 2.54 Problem 11. 12. A jet aircraft with a mass of 4,500 kg has an engine that exerts a force (thrust) equal to 60,000 N. (a) What is the jet's acceleration when it takes off? (b) What is the jet's speed after it accelerates for 8 s? (c) How far does the jet travel during the 8 s? 13. At the end of Section 1.4, we mentioned that the maximum acceleration of a fist during a particular karate blow was measured to be about 3,500 m/s² just before impact with the concrete block. If the mass of the fist was approximately 0.7 kg, what was the maximum force delivered to the concrete block? 14. A sprinter with a mass of 80 kg accelerates uniformly from 0 m/s to 9 m/s in 3 s. (a) What is the runner's acceleration? (b) What is the net force on the runner? (c) How far does the sprinter travel during the 3 s? 15. As a baseball is being caught, its speed goes from 30 to 0 m/s in about 0.005 s. Its mass is 0.145 kg. 1 (a) What is the baseball's acceleration in m/s² and in g's? (b) What is the size of the force acting on it? Problems 79
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