Explanation:
The object is moving along the parabola y = x² and is at the point (√2, 2). Because the object is changing directions, it has a centripetal acceleration towards the center of the circle of curvature.
First, we need to find the radius of curvature. This is given by the equation:
R = [1 + (y')²]^(³/₂) / |y"|
y' = 2x and y" = 2:
R = [1 + (2x)²]^(³/₂) / |2|
R = (1 + 4x²)^(³/₂) / 2
At x = √2:
R = (1 + 4(√2)²)^(³/₂) / 2
R = (9)^(³/₂) / 2
R = 27 / 2
R = 13.5
So the centripetal force is:
F = m v² / r
F = m (5)² / 13.5
F = 1.85 m
I would say B. Hope this helps Plz give a thx
Answer:
B) is downward
Explanation:
The acceleration is always downward, because it is the gravitational acceleration.
When the ball is going up the acceleration is opposing the movement, and when the ball is going down the velocity has the same direction as the acceleration
Answer:
6.6 beats per second
Explanation:
For a closed-end pipe, the fundamental frequency is given by
where
v is the speed of sound
L is the length of the pipe
Here we have
v = 346 m/s
L = 59.9 cm = 0.599 m
So the fundamental frequency is
The frequency of the signal generator is
So the beat frequency is given by the absolute value of the difference between the two frequencies:
which means that 6.6 beats per second are heard.
