A carton board ( 4 ft × 4 ft ) has the queen at the centre . The queen , hit by the tiger moves to front age, rebounds and goes into whole behind the starting line. find the magnitude of displacement of the queen :
a ] from the centre of the front age
b ]
from frontage to whole and
c ] from Centre to the whole
Answers
Answer:
hi mate.
here is your answer,
actually it is not carton board , it is a carom board.
so,
When a queen hit by striker from the center it displaced to O to A , then it rebounds and goes in the hole at B. Draw a normal at point A , using Law of reflection . Draw a perpendicular from point O at point C .
Let AC = x ,then AD = 2 - x .
refer to the picture.
a) To find magnitude of displacement of queen
From the figure,
2 / x = 4 / 2 - x
2 - x = 2x
3x = 2
x = 2/3 .
Magnitude s1 = 2/3 ^ i + 2 ^ j
| s 1 | = √ 4 / 9 + 4 = 2 / 3 √ 10 = 2.02 feet.
b) From the front edge to the hole
When the queen, rebounds and goes to the hole , it's displacement is AC . From the triangle CDA , hence
s2 = √ 16 / 9 - 16 = 4 / 3 = √ 10 = 4.21 feet .
c) From the center to the hole .
Let draw a line OC , which is the total displacement from center to the hole.
s3 = s1 + s2
s3 = 2 / 3 ^ i + 2^j + 4 / 3 ^ i - 4^j
s3 = 2^i + 2^j
| s3 |= 2 √ 2 = 2.82 feet.
Hope it helps you mate.
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Answer:
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