Activity 2.4- Newton's Second Law Problems Use the free body diagram method to solve the following problems. Please show all steps. 1. A ball with a mass of M = 60 grams toward the ceiling where it bounces. It hits the ceiling and bounces off at the same speed of vo = 15 m/s and at an angle = 20° as shown. The collision takes At = 0.3 sec. a. Determine the magnitude of the acceleration while the ball is in contact with the ceiling. In the space provided, draw a labeled free body diagram showing the forces acting on the ball while it is in contact with ceiling. Start by defining a coordinate system (a +y direction) and writing the relation you will use symbolically. It is usually most convenient if you choose the +y to be in the direction of the acceleration. Note: the acceleration is not 100 m/s² nor is it zero. If you got either answer for the acceleration, recall how to subtract vectors. O A ➖➖➖➖➖➖➖➖➖ II O 1² b. Use the FBD method to determine the average force that the ceiling exerts the ball during the collision. Show all the steps in the FBD method (i) Draw a labeled free body diagram for the ball. (ii) Define a coordinate system (+x and/or +y directions) and write out Newton's 2nd law in the appropriate directions using the symbols in your FBD. (iii) Solve symbolically for what you want. Do not substitute in numbers yet. C. Determine the numerical value of the average force the ceiling exerts on the ball during the collision. Show numbers you used.
Activity 2.4- Newton's Second Law Problems Use the free body diagram method to solve the following problems. Please show all steps. 1. A ball with a mass of M = 60 grams toward the ceiling where it bounces. It hits the ceiling and bounces off at the same speed of vo = 15 m/s and at an angle = 20° as shown. The collision takes At = 0.3 sec. a. Determine the magnitude of the acceleration while the ball is in contact with the ceiling. In the space provided, draw a labeled free body diagram showing the forces acting on the ball while it is in contact with ceiling. Start by defining a coordinate system (a +y direction) and writing the relation you will use symbolically. It is usually most convenient if you choose the +y to be in the direction of the acceleration. Note: the acceleration is not 100 m/s² nor is it zero. If you got either answer for the acceleration, recall how to subtract vectors. O A ➖➖➖➖➖➖➖➖➖ II O 1² b. Use the FBD method to determine the average force that the ceiling exerts the ball during the collision. Show all the steps in the FBD method (i) Draw a labeled free body diagram for the ball. (ii) Define a coordinate system (+x and/or +y directions) and write out Newton's 2nd law in the appropriate directions using the symbols in your FBD. (iii) Solve symbolically for what you want. Do not substitute in numbers yet. C. Determine the numerical value of the average force the ceiling exerts on the ball during the collision. Show numbers you used.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of...
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Transcribed Image Text:Activity 2.4- Newton's Second Law Problems
Use the free body diagram method to solve the following problems. Please show all steps.
1. A ball with a mass of M = 60 grams toward the ceiling where it bounces. It
hits the ceiling and bounces off at the same speed of v, 15 m/s and at an
angle = 20° as shown. The collision takes At =0.3 sec.
=
a. Determine the magnitude of the acceleration while the ball is in contact
with the ceiling. In the space provided, draw a labeled free body
diagram showing the forces acting on the ball while it is in contact with
ceiling. Start by defining a coordinate system (a +y direction) and writing
the relation you will use symbolically. It is usually most convenient if
you choose the +y to be in the direction of the acceleration. Note: the
acceleration is not 100 m/s² nor is it zero. If you got either answer for
the acceleration, recall how to subtract vectors.
A
0:0
O
=
O
b. Use the FBD method to determine the average force that the ceiling exerts the ball during the collision. Show all
the steps in the FBD method (i) Draw a labeled free body diagram for the ball. (ii) Define a coordinate system
(+x and/or +y directions) and write out Newton's 2nd law in the appropriate directions using the symbols in
your FBD. (iii) Solve symbolically for what you want. Do not substitute in numbers yet.
C. Determine the numerical value of the average force the ceiling exerts on the ball during the collision. Show
numbers you used.
g
d. What is the magnitude and direction of the force that the ball exerts on the ceiling during the collision?
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