A block is placed on top of a ramp with friction. Initially it is at rest. Then it slides down and off the ramp onto m = 1.8 kg h = .3 m 0 = 20° the floor. Values are shown in the figure. Think about the motion in two parts: sliding down the ramp and projectile H = 1.2 m f = 2 N motion. Motion on ramp a. Draw the free body diagram for the block. The friction force points uphill and is parallel to the ramp. b. Write the x-equation and y-equation for the net force on the mass. You can -R- leave your equation in symbols (i.e. letters). Show your coordinate system on your free body diagram. c. Calculate a numerical value for the acceleration of the block.
A block is placed on top of a ramp with friction. Initially it is at rest. Then it slides down and off the ramp onto m = 1.8 kg h = .3 m 0 = 20° the floor. Values are shown in the figure. Think about the motion in two parts: sliding down the ramp and projectile H = 1.2 m f = 2 N motion. Motion on ramp a. Draw the free body diagram for the block. The friction force points uphill and is parallel to the ramp. b. Write the x-equation and y-equation for the net force on the mass. You can -R- leave your equation in symbols (i.e. letters). Show your coordinate system on your free body diagram. c. Calculate a numerical value for the acceleration of the block.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
I am having trouble with this homework problem, any help would be greatly appreciated, thank you!
![**Physics: Motion on a Ramp and Projectile Motion**
A block is placed on top of a ramp with friction. Initially, it is at rest. Then it slides down and off the ramp onto the floor. Values are shown in the figure. Consider the motion in two parts: sliding down the ramp and projectile motion.
**Motion on Ramp**
- m = 1.8 kg
- h = 0.3 m
- θ = 20°
- H = 1.2 m
- f = 2 N
a. Draw the free body diagram for the block. The friction force points uphill and is parallel to the ramp.
b. Write the x-equation and y-equation for the net force on the mass. You can leave your equations in symbols (i.e. letters). Show your coordinate system on your free body diagram.
c. Calculate a numerical value for the acceleration of the block.
d. What is the velocity of the block as it leaves the incline?
**Projectile Motion**
e. State the initial speed and angle of the block for this portion of the motion. Fill in here:
\[ v_0 = \_\_\_\_\_\_\_\_\_\_ \]
\[ \text{angle} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{above/below horizontal} \]
f. How far from the table will the block hit the floor (i.e. calculate R)?
g. What is the time-of-flight of the block when gravity is the only force acting on it?
**Visual Description:**
The illustration shows a block sliding down an inclined ramp onto a horizontal table, then moving off the table's edge to the ground. The ramp has a height (h) and is inclined at an angle (θ). The height from the table to the ground is (H), and the block’s horizontal displacement is denoted by (R).
Use this page and the next to show your work.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a3c01e2-850a-490c-9804-34c1c696d004%2Fa6cd01ad-accb-4e27-a25d-d3e617428f75%2Fq8ac2u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics: Motion on a Ramp and Projectile Motion**
A block is placed on top of a ramp with friction. Initially, it is at rest. Then it slides down and off the ramp onto the floor. Values are shown in the figure. Consider the motion in two parts: sliding down the ramp and projectile motion.
**Motion on Ramp**
- m = 1.8 kg
- h = 0.3 m
- θ = 20°
- H = 1.2 m
- f = 2 N
a. Draw the free body diagram for the block. The friction force points uphill and is parallel to the ramp.
b. Write the x-equation and y-equation for the net force on the mass. You can leave your equations in symbols (i.e. letters). Show your coordinate system on your free body diagram.
c. Calculate a numerical value for the acceleration of the block.
d. What is the velocity of the block as it leaves the incline?
**Projectile Motion**
e. State the initial speed and angle of the block for this portion of the motion. Fill in here:
\[ v_0 = \_\_\_\_\_\_\_\_\_\_ \]
\[ \text{angle} = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \text{above/below horizontal} \]
f. How far from the table will the block hit the floor (i.e. calculate R)?
g. What is the time-of-flight of the block when gravity is the only force acting on it?
**Visual Description:**
The illustration shows a block sliding down an inclined ramp onto a horizontal table, then moving off the table's edge to the ground. The ramp has a height (h) and is inclined at an angle (θ). The height from the table to the ground is (H), and the block’s horizontal displacement is denoted by (R).
Use this page and the next to show your work.
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 now
This is a popular solution!
Step by step
Solved in 4 steps with 2 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.Recommended textbooks for you
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
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