A sphere of mass m = 2 kg, is released from rest at point A (see Figure 1.1). Due to gravity, the sphere goes down the path AB (which is an inclined plane, at 45 degrees from the horizontal line) and then hits the ground at point D; the vertical wall BC is 2000 cm high (see Figure 1.1 for details) Assume no friction. (a) Derive the velocity of the sphere when it reaches point B. (b) Derive the distance CD and the time the sphere takes to go from point B to point D.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 1:
A sphere of mass m = 2 kg, is released from rest at point A (see Figure 1.1). Due to gravity, the sphere goes
down the path AB (which is an inclined plane, at 45 degrees from the horizontal line) and then hits the
ground at point D; the vertical wall BC is 2000 cm high (see Figure 1.1 for details)
Assume no friction.
(a) Derive the velocity of the sphere when it reaches point B.
(b) Derive the distance CD and the time the sphere takes to go from point B to point D.
State and justify your assumptions and comment on your working.
Marks will be assigned for the quality of the presentation of the working and of the comments.
(You have to assign the value of L, in centimetres, by using the last 3 digits of your student ID, and then
solve the question; for example, if your student ID is 19980169, then L=169 cm; if your ID is 17680039, then
L=39 cm; if your ID is 14567000, then L=1000 cm).
L
L
C
B
D
L = 50 cm
in this
Figure 1.1
case...
Transcribed Image Text:Question 1: A sphere of mass m = 2 kg, is released from rest at point A (see Figure 1.1). Due to gravity, the sphere goes down the path AB (which is an inclined plane, at 45 degrees from the horizontal line) and then hits the ground at point D; the vertical wall BC is 2000 cm high (see Figure 1.1 for details) Assume no friction. (a) Derive the velocity of the sphere when it reaches point B. (b) Derive the distance CD and the time the sphere takes to go from point B to point D. State and justify your assumptions and comment on your working. Marks will be assigned for the quality of the presentation of the working and of the comments. (You have to assign the value of L, in centimetres, by using the last 3 digits of your student ID, and then solve the question; for example, if your student ID is 19980169, then L=169 cm; if your ID is 17680039, then L=39 cm; if your ID is 14567000, then L=1000 cm). L L C B D L = 50 cm in this Figure 1.1 case...
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