Which technology is most efficient in mapping large areas of the ocean floor?

A hawk is flying horizontally at 18.0 m/s in a straight line, 230 m above the ground. A mouse it has been carrying struggles fre

Lisa [10]

Answer:

a) vd = 47.88 m/s

b) θ = 80.9°

c) t = 6.8 s

Explanation:

In the situation of the problem, you can assume that the trajectory of the hawk and the trajectory of the mouse form a rectangle triangle.

One side of the triangle is the horizontal trajectory of the hawk after 2.00s of flight, the other side of the triangle is the distance traveled by the mouse when it is falling down. And the hypotenuse is the trajectory of the hawk when it is trying to recover the mouse.

(a) In order to calculate the diving speed of the hawk, you first calculate the hypotenuse of the triangle.

One side of the triangle is c1 = (18.0m/s)(2.0s) = 36m

The other side of the triangle is c2 = 230m - 3m = 227 m

Then, the hypotenuse is:

$h=\sqrt{(36m)^2+(227m)^2}=229.83m$ (1)

Next, it is necessary to calculate the falling down time of the mouse, this can be done by using the following formula:

$y=y_o+v_ot+\frac{1}{2}gt^2$ (2)

yo: initial height = 230m

vo: initial vertical speed of the mouse = 0m/s

g: gravitational acceleration = -9.8m/s^2

y: final height of the mouse = 3 m

You replace the values of the parameters in (2) and solve for t:

$3=230-4.9t^2\\\\t=\sqrt{\frac{227}{4.9}}=6.8s$

The hawk traveled during 2.00 second in the horizontal trajectory, hence, the hawk needed 6.8s - 2.0s = 4.8 s to travel the distance equivalent to the hypotenuse to catch the mouse.

You use the value of h and 4.8s to find the diving speed of the hawk:

$v_d=\frac{229.83m}{4.8s}=47.88\frac{m}{s}$

The diving speed of the Hawk is 47.88m/s

(b) The angle is given by:

$\theta=cos^{-1}(\frac{c_1}{h})=cos^{-1}(\frac{36m}{229.83m})=80.9 \°$

Then angle between the horizontal and the trajectory of the Hawk when it is descending is 80.9°

(c) The mouse is falling down during 6.8 s

4 0

3 years ago

If the force squeezing two surfaces together is decreased, the force of dry sliding friction between the two surfaces will most

Anastasy [175]

If the force squeezing two surfaces together is decreased, the force of dry sliding friction between the two surfaces will most likely decrease.

therefore your answer is B)decrease

Hope this helps you- have a good day bro cya)

7 0

2 years ago

Galileo Galilei was the first scientist to perform experiments in order to test his ideas. He was also the first astronomer to s

arsen [322]

Explanation:

Geocentric model said that the Earth is at the center of the universe and everything revolves around it. It was considered to be stationary. Galileo proved this model incorrect with the help of his astronomical observations. Some of the key observation that he used to support the heliocentric model were:

1. He proposed the theory that the tides on the Earth occur because of its motion.

2. He observed the phases of the Venus which meant that the Venus revolved around the Sun and not the Earth.

3. He observed other planets and thus noted that they also move around the Sun and not Earth.

4. He discovered the Moons of other planets.

6 0

3 years ago

Which statement best compares a scientific theory and an opinion?

Furkat [3]

Answer: c opinion is something ppl just suggest but a theory needs proof before it is confirmed

8 0

3 years ago

Which of the following Resistors A, B, C or D, would use the least power? Make

Westkost [7]

i think the answer is D 10.0

4 0

3 years ago