Which statement is true according to Newton's second law of motion?

Physics

1 answer:

ipn [44]4 years ago

3 0

Answer: I think is OA.

Refer:

Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .

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HELP !! Maura is deciding which hose to use to water her outdoor plants. Maura noticed that the water coming out of her garden h

MA_775_DIABLO [31]

THE GREEN HOSE:
Define the (x,y) coordinate at a height of 4 feet up from the ground to match where Majra is holding the green hose.
This means that the equation for the green hose is of the form
y = a(x - h)² + 4 (1)

Because water from the green hose lands on the ground 10 feet from where Majra is standing, therefore
y(10) = -4 (2)

Because the curve passes through (0,0), therefore
ah² + 4 = 0
ah² = - 4 (3)

To satisfy (2), obtain
a(10 - h)² + 4 = -4
a(10 - h)² = - 8 (4)

Divide (3) by (4).
h²/(10-h)² = 1/2
2h² = (10 - h)² = 100 - 20h + h²
h² + 20h - 100 = 0

Solve with the quadratic formula.
x = 0.5[-20 +/- √(8400)] = 4.142, - 24.142
Reject the negative solution.
The vertex is at (4.142, 4).

From (3), obtain
a = -4/4.142² = -0.2332

The equation for the green hose is
y = 0.2332(x - 4.142)² + 4

THE RED HOSE
The red hose has a vertex at (3,7), according to the equation y = -(x-3)² + 7.

A graph of y(x) for both hoses is shown in the attached figure.

Answers:
a. The red hose will throw the water higher.

b. The equation for the green hose is
y = -0.2332(x - 4.124)² + 4,
with the origin at a height of 4 feet above ground level.

c. The domain for the green hose that makes sense is 0 ≤ x ≤ 10 feet.
The corresponding range is -4 ≤ y ≤ 4 feet.