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.
D
The motion of an object in a circle at a constant speed.
Answer:
Pressure, P = 3724 Pa
Explanation:
Given that,
Depth of water, 
Depth of oil, 
The density of water, 
The densinty of oil, 
We need to find the gauge pressure at the bottom of the cylinder. So, total pressure is equal to :

So, the gauge pressure at the bottom of the cylinder is 3724 Pa.
Answer: Second choice (straight down arrow)
Explanation:
I just did it.
The force applied on the football is 2.15 Newton.
Given the data in the question;
- Mass of football;

- Acceleration;

Force applied; 
To determine the force applied on the football, we use Newton's laws of motion:

Where m is the mass of the object and a is the acceleration.
We substitute our given values into the equation

Therefore, the force applied on the football is 2.15 Newton.
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