College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Question
![**Physics Problem: Projectile Motion**
**Question:**
Rocky the Flying Squirrel is carrying a nut of mass 0.5 kg while flying horizontally at a height of 15 m above the ground at a speed of 12 m/s. Bullwinkle is eagerly awaiting the delivery of the nut on the ground. Rocky releases the nut as he is directly above Bullwinkle. How far from Bullwinkle will the nut land if Bullwinkle does not move?
**Options:**
- ○ 8.49 m
- ○ 5.20 m
- ○ 4.24 m
- ○ 20.8 m
**Explanation:**
To solve this question, you need to apply the principles of projectile motion. Here's a step-by-step guide:
1. **Determine the time taken for the nut to fall to the ground:**
- The initial vertical velocity is 0 m/s (since it's only moving horizontally).
- Use the equation for the vertical displacement due to gravity:
\[
h = \frac{1}{2} g t^2
\]
where \( h = 15 \, \text{m} \) is the height and \( g = 9.8 \, \text{m/s}^2 \) is the acceleration due to gravity.
Solving for \( t \):
\[
15 = \frac{1}{2} \times 9.8 \times t^2
\]
\[
t^2 = \frac{30}{9.8} \approx 3.06
\]
\[
t \approx 1.75 \, \text{s}
\]
2. **Calculate the horizontal distance traveled by the nut:**
- The horizontal velocity remains constant at 12 m/s.
- The time of flight calculated above is \( t \approx 1.75 \) s.
Use the formula for horizontal distance:
\[
d = v \times t
\]
where \( v = 12 \, \text{m/s} \).
Substituting the values:
\[
d = 12 \times 1.75 \approx 21 \, \text{m}
\]
Since the closest answer to this calculation is 20.8 m, the correct option is:
- ○](https://content.bartleby.com/qna-images/question/21660ac5-28b2-4571-9555-dad5f0a9c878/f77d7d08-543c-4f3c-b212-461980c3e94e/lcg9un_processed.png)
Transcribed Image Text:**Physics Problem: Projectile Motion**
**Question:**
Rocky the Flying Squirrel is carrying a nut of mass 0.5 kg while flying horizontally at a height of 15 m above the ground at a speed of 12 m/s. Bullwinkle is eagerly awaiting the delivery of the nut on the ground. Rocky releases the nut as he is directly above Bullwinkle. How far from Bullwinkle will the nut land if Bullwinkle does not move?
**Options:**
- ○ 8.49 m
- ○ 5.20 m
- ○ 4.24 m
- ○ 20.8 m
**Explanation:**
To solve this question, you need to apply the principles of projectile motion. Here's a step-by-step guide:
1. **Determine the time taken for the nut to fall to the ground:**
- The initial vertical velocity is 0 m/s (since it's only moving horizontally).
- Use the equation for the vertical displacement due to gravity:
\[
h = \frac{1}{2} g t^2
\]
where \( h = 15 \, \text{m} \) is the height and \( g = 9.8 \, \text{m/s}^2 \) is the acceleration due to gravity.
Solving for \( t \):
\[
15 = \frac{1}{2} \times 9.8 \times t^2
\]
\[
t^2 = \frac{30}{9.8} \approx 3.06
\]
\[
t \approx 1.75 \, \text{s}
\]
2. **Calculate the horizontal distance traveled by the nut:**
- The horizontal velocity remains constant at 12 m/s.
- The time of flight calculated above is \( t \approx 1.75 \) s.
Use the formula for horizontal distance:
\[
d = v \times t
\]
where \( v = 12 \, \text{m/s} \).
Substituting the values:
\[
d = 12 \times 1.75 \approx 21 \, \text{m}
\]
Since the closest answer to this calculation is 20.8 m, the correct option is:
- ○
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps with 1 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Sofia is playing a game with her friend, Kara, where she throwsM&M candies at Kara and Kara catches the M&M’s in hermouth. They begin standing 1.75 meters apart from eachother. Sofia throws the M&M at an angle of 60 degrees abovethe horizontal with a speed of 4.13 m/s. Kara’s mouth is145 cm above the ground when she catches the M&M. Whatheight above the ground did the M&M leave Sofia’s hand?Hint: Remember, even though the motion in the horizontaldirection is independent of the motion in the vertical direc-tion, they share the same time.arrow_forwardYou're in an airplane that flies horizontally with speed 940 km/hkm/h (260 m/sm/s) when an engine falls off. Neglecting air resistance, assume it takes 28 ss for the engine to hit the ground. Find the height of airplane. H= Find the horizontal distance that the aircraft engine falls. d= If the airplane somehow continues to fly as if nothing had happened, what is the distance between the engine and the airplane at the moment the engine hits the ground? d=arrow_forwardab 3. Three projectiles (A, B, and C) are launched with different initial speeds so that they reach the same maximum height, as shown in the figure. List the projectiles in order of increasing initial speed (smallest v; written in the first blank). у thenarrow_forward
- Use g = 10 m/s/s.arrow_forwardA physics student stands on a cliff overlooking a lake and decides to throw a softball to her friends in the water below. She throws the softball with a velocity of 24.5 m/s at an angle of 31.5° above the horizontal. When the softball leaves her hand, it is 12.5 m above the water. How far does the softball travel horizontally before it hits the water? Neglect any effects of air resistance when calculating the answer. Macmillan Learning horizontal distance: Earrow_forwardIn the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what was called a fastball special. Suppose Colossus throws Wolverine at an angle of 0 = 23.0° with respect to the ground (see figure below). Wolverine is d = 2.14 m above the ground when he is released, and he leaves Colossus's hands with a speed of v; = 22.6 m/s. d (a) Using conservation of energy and the components of the initial velocity, find the maximum height attained by Wolverine during the flight. m (b) Using conservation of energy, what is Wolverine's speed the instant before he hits the ground? m/sarrow_forward
- A rocket is launched from a height of 3 m with an initial velocity of 15 m/s. At what time will the rocket be 13 m from the ground?arrow_forwardOn planet #3, you fire a projectile horizontally from the edge of a vertical cliff 21.5 m above the ground, with an initial speed of 40.1 m/s. The projectile lands 36.9 m away from the base of the cliff. What is the value of g for planet #3? 21.22 m/s^2 50.78 m/s^2 25.39 m/s^2 128.36 m/s^2arrow_forwardThe position of a bird in the xy-plane is given by = (4.0m-x t²)î + Btĵ where x= 2.5 m/s2 and B = 5 m/s . What is the magnitude of bird's net velocity at 2.0 s? %3D 4.0 m/s O7.1 m/s O 11.2 m/s 15 m/s O -5.0 m/sarrow_forward
- A basketball is thrown at 45° to the horizontal. The hoop is located 3.6 m away horizontally at a height of 1.2 m above the point of release. What is the required initial speed? m/sarrow_forwardA firecracker moves vertically upward and after reaching the highest point in its vertical trajectory, it starts falling down. After it falls down by 17.7 meters in air it cracks into two identical pieces. One of the pieces shoots off horizontally with 11.8 m/s speed. What would be the magnitude of the velocity of the other piece right after they split? Enter your answer in m/s. On your paper, show both your calculation for the magnitude and also the direction of the velocity vector of the second piece. Show your work in detail including your physics- based reasoning.arrow_forwardYou are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at 50° from the edge of the building with an initial velocity of 10 m/s and lands 20 meters away from the wall of the building. Which equation will allow you to solve for the amount of time the ball is in the air? Hint: look at your givens in the x-direction. Group of answer choices A. vfx2=v0x2+2axΔx B. vfx=v0x+axt C. Δx =v0x t + ½ axt2arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON