SATHEE: Kinematics Question 514

Kinematics Question 514

Question: Pankaj and Sudhir are playing with two different balls of masses m and $2 m$ , respectively. If Pankaj throws his ball vertically up and Sudhir at an angle $θ$ , both of them stay in our view for the same period. The height attained by the two balls are in the ratio

Options:

A) 2 : 1

B) 1 : 1

C) $1 : c o s θ$

D) $1 : s e c θ$

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Answer:

Correct Answer: B

Solution:

[b] Time of flight for the ball thrown by pankaj, $T_{1} = \frac{2 u_{1}}{g}$

time of flight for the ball thrown by sudhir $T_{2} = \frac{2 u^{2} \sin (90^{\circ} - θ)}{g} - \frac{2 u^{2} \cos θ}{g}$

According to problem $T_{1} = T_{2}$

$\Rightarrow \frac{2 u_{1}}{g} = \frac{2 u^{2} \cos θ}{g}$

$\Rightarrow u_{1} = u_{2} \cos θ$

Height of the ball thrown by pankaj $H_{1} = \frac{u_{1}^{2}}{2 g}$

Height of the thrown by sudhir $H_{2} = \frac{u_{2}^{2} \sin^{2} (90^{\circ} - θ)}{2 g}$

$H_{2} = \frac{u_{2}^{2} \sin^{2} (90^{\circ} - θ)}{2 g} = \frac{u_{2}^{2} \cos^{2} θ}{2 g}$

$∴ \frac{H_{1}}{H_{2}} = \frac{u_{1}^{2} / 2 g}{u_{2}^{2} \cos^{2} θ / 2 g} = 1$

$[A s u_{1} = u_{2} c o s θ]$

Kinematics Question 514

Question: Pankaj and Sudhir are playing with two different balls of masses m and $2 m$ , respectively. If Pankaj throws his ball vertically up and Sudhir at an angle $θ$ , both of them stay in our view for the same period. The height attained by the two balls are in the ratio

Options:

Answer:

Solution:

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Kinematics Question 514

Question: Pankaj and Sudhir are playing with two different balls of masses m and 2m , respectively. If Pankaj throws his ball vertically up and Sudhir at an angleθ , both of them stay in our view for the same period. The height attained by the two balls are in the ratio

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: Pankaj and Sudhir are playing with two different balls of masses m and $2 m$ , respectively. If Pankaj throws his ball vertically up and Sudhir at an angle $θ$ , both of them stay in our view for the same period. The height attained by the two balls are in the ratio