SATHEE: Kinematics Question 35

Kinematics Question 35

Question: The maximum and minimum magnitude of the resultant of two given vectors are 17 unit and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is [Kerala CET (Engg.) 2000]

Options:

A) 14

B) 16

C) 18

D) 13

Show Answer

Answer:

Correct Answer: D

Solution:

$R_{max} = A + B = 17$ when $θ = 0^{\circ}$

$R_{min} = A - B = 7$ when $θ = 180^{\circ}$

by solving we get $A = 12$ and $B = 5$

Now when $θ = 90^{\circ}$ then $R = \sqrt{A^{2} + B^{2}}$
therefore $R = \sqrt{{(12)}^{2} + {(5)}^{2}}$

$= \sqrt{169}$

$= 13$

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Kinematics Question 35

Question: The maximum and minimum magnitude of the resultant of two given vectors are 17 unit and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is [Kerala CET (Engg.) 2000]

Options:

Answer:

Solution:

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