A ball of mass m is thrown vertically upward. Another ball of mass 2 m is thrown an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is (1/x). The value of x is

Question

A ball of mass m is thrown vertically upward. Another ball of mass 2 m is thrown an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is (1/x). The value of x is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Time of flight is same ⇒ vertical component of velocity is same ⇒ H max is same

Q. A ball of mass $m$ is thrown vertically upward. Another ball of mass $2 m$ is thrown an angle $θ$ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is $\frac{1}{x}$ . The value of $x$ is_______

Time of flight is same
$\Rightarrow$ vertical component of velocity is same
$\Rightarrow H_{m a x}$ is same

Q. A ball of mass m is thrown vertically upward. Another ball of mass 2m is thrown an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is x1​. The value of x is_______

Time of flight is same ⇒ vertical component of velocity is same ⇒Hmax​ is same

Q. A ball of mass $m$ is thrown vertically upward. Another ball of mass $2 m$ is thrown an angle $θ$ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is $\frac{1}{x}$ . The value of $x$ is_______

Time of flight is same
$\Rightarrow$ vertical component of velocity is same
$\Rightarrow H_{m a x}$ is same