The is a factor that's affected by changes in the independent variable

Answers

Answer 1

Answer: So we want to know what factor is affected by the changes of the independant variable. So if we have the form f(x)=x, x would be the independant variable and when we change the value of that variable we directly change the dependant variable, because the value of the dependant variable is dependant of the independant variable.

Answer 2

Answer:

Dependent variable.......

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A 20600 kg sailboat experiences an eastward force 17700 N due to the tide pushing its hullwhile the wind pushes the sails with a force of 60000 N directed toward the northwest (45◦ westward of North or 45◦ northward of West). What is the magnitude of the resultant acceleration of the sailboat?

Answers

Answer:

2.23 m/s²

Explanation:

mass of sail boat, m = 20600 kg

Force along east, F1 = 17700 N

Force along north west, F2 = 60000 N

write the forces in vector form

$\overrightarrow{F_(1)}=17700 \widehat{i}$

$\overrightarrow{F_(2)}=60000\left ( - Cos45 \widehat{i}+Sin45\widehat{j}\right )$

$\overrightarrow{F_(2)}=-42426.41\widehat{i}+42426.41\widehat{j}$

Net force acting on the boat

$\overrightarrow{F}=\overrightarrow{F_(1)}+\overrightarrow{F_(2)}$

$\overrightarrow{F}=17573.6\widehat{i}+42426.41\widehat{j}$

The magnitude of net force is given by

$F=\sqrt{17573.6^(2)+42426.41^(2)}$

F = 45922 N

Acceleration = force / mass

a = 45922 / 20600

a = 2.23 m/s²

A baseball on a T-ball stand has no momentum until it is hit with a bat. When Tyler swings the bat, it has a momentum of 12 kg m/s. After the bat hits the ball, the ball has a momentum of 8 kg m/s. What is the momentum of the bat AFTER it hits the ball

Answers

Answer:

4 kg m/s

Explanation:

According to the Law of Conservation of Momentum, the total momentum must be the same before and after a collision. The total momentum before the bat hit the ball was 12 kg m/s. After the collision, the ball has a momentum of 8 kg m/s. Therefore, the bat must have a momentum of 4 kg m/s.

positive direction : bat swing

total momentum before = after
12(bat) + 0(ball) = 8(ball) + bat-after

bat-after is positive then direction is the same

What is this equation for?

Answers

That's the equation for the efficiency of any machine or other system that you use to change energy from one form to another. It says that the efficiency of that device is equal to the work or energy that comes out of it divided by the work or energy that you put into it.

Modern oil tankers weigh over a half-million tons and have lengths of up to a quarter of a mile. Such massive ships require a distance of 5.0 km (about 3.0 mi) and a time of 22 min to come to a stop from a top speed of 26 km/h. What is the magnitude of such a ship's average acceleration in m/s2 in coming to a stop? What is the magnitude of the ship's average velocity in m/s?Comment on the potential of a tanker running aground

Answers

Answer :

Average acceleration, $a=-7.71* 10^(-5)\ m/s^2$

Average velocity, v = 13 km/h

Explanation:

It is given that,

Initial velocity of ship, v = 26 Km/h

Final velocity of ship, u = 0

Distance covered by ship, d = 5 km

Time taken, t = 22 min = 0.36 h

(a) Average acceleration, $a=(v-u)/(t)$

$a=(0-26\ km/h)/(0.36\ h)$

$a=-72.2\ km/h^2=-7.71* 10^(-5)\ m/s^2$

So, the magnitude of ship's acceleration is $a=-7.71* 10^(-5)\ m/s^2$ .

(b) Average velocity, $v_a=(v+u)/(2)$

$v_a=(26\ m/s+0)/(2)$

$v_a=13\ km/h$

So, ship's average velocity is 13 km/h.

Hence, this is the required solution.

Acceleration = (change in speed) / (time for the change)

Change in speed= (0 - 26 km/hr) = -26 km/hr

(-26 km/hr) x (1,000 m/km) x (1 hr / 3,600 sec) = -7.222 m/sec

Average acceleration = (-7.222 m/s) / (22 min x 60sec/min) = -0.00547 m/sec²

Average speed during the stopping maneuver =

(1/2) (start speed + end speed) = 13 km/hr = 3.6111 m/sec

Chances of running aground:

If he stays in the designated shipping lanes, he ought to be OK.

The four terrestrial planets that have solid, rocky surfaces are A. Mars, Venus, Earth, and Jupiter.
B. Mercury, Jupiter, Saturn, and Mars.
C. Mercury, Venus, Jupiter, and Mars.
D. Mercury, Venus, Earth, and Mars

Answers

The four terrestrial planets that hace solid, rocky surfaces are (D.) Mercury, Venus, Earth, and Mars.

Check out pages 804-808 in the Glencoe Earth Science textbook provided by PennFoster. That way you can learn about the answer. :)

Which would not increase voltage and generate an electrical current?A. a car battery

B. a thick wire

C. a solar cell

D. a generator

Answers

Answer: The correct answer is a thick wire.

Explanation:

In the given options of the problem, a car battery is needed to generate an electrical current. It forces the electrons to flow. It makes the current flow in the circuit.

Solar cell is a device which converts the solar energy into the electrical energy. It can increase the voltage and generate an electrical current.

Generator is a device which converts the mechanical energy into the electrical energy. It can increase the voltage and generate an electrical current.

A thick wire is not used to increase voltage and generate an electrical current. The thick wire has low resistance in comparison to the thin wire.

Therefore, the correct option is (B).

B. A thick wire
I think this is right, hope this helps

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