Answer:
The ratio of lengths of the two mathematical pendulums is 9:4.
Explanation:
It is given that,
The ratio of periods of two pendulums is 1.5
Let the lengths be L₁ and L₂.
The time period of a simple pendulum is given by :
or
Where
l is length of the pendulum
or
....(1)
ATQ,
Put in equation (1)
So, the ratio of lengths of the two mathematical pendulums is 9:4.
Answer:
a) Team A will win.
b) The losing team will accelerate towards the middle line with 0.01 m/
Explanation:
Given that Team-A pulls with a force ,
and Team-B pulls with a force ,
∵
The rope will move in the direction of force .
∴ Team-A will win.
b) Considering both the teams as one system of total mass ,
Net force on the system , = 50-45 = 5N
Applying Newtons first law to the system ,
F = ma , where 'a' is the acceleration of the system.
Since , both the teams are connected by the same rope , their acceleration would be the same.
∴ 5 = 499×a
∴ a = 0.01 m/