subject

Physics, 20.09.2020 14:01 Idontreallycare16

A satellite in outer space is moving at a constant velocity of 21.4 m/s in the y direction when one of its onboard thruster turns on, causing an acceleration of 0.250 m/s2 in the x direction. The acceleration lasts for 45.0 s, at which point the thruster turns off. (a) What is the magnitude of the satellite's velocity when the thruster turns off

ansver

Answers: 2

Show answers

Answers

ansver

Answer from: iBrain

a) The magnitude of the satellite's velocity when the thruster turns off is approximately 24.177 meters per second.

b) The direction of the satellite's velocity when the thruster turns off is approximately 62.266º.

Explanation:

Statement is incomplete. The complete description is now described below:

A satellite in outer space is moving at a constant velocity of 21.4 m/s in the y direction when one of its onboard thruster turns on, causing an acceleration of 0.250 m/s2 in the x direction. The acceleration lasts for 45.0 s, at which point the thruster turns off.

(a) What is the magnitude of the satellite's velocity when the thruster turns off

(b) What is the direction of the satellite's velocity when the thruster turns off? Give your answer as an angle measured counterclockwise from the +x-axis. ° counterclockwise from the +x-axis

Let be x and y-directions orthogonal to each other and the satellite is accelerated uniformly from rest in the +x direction and moves at constant velocity in the +y direction. The velocity vector of the satellite ( $\vec{v}_{S}$ ), measured in meters per second, is:

$\vec{v}_{S} = (v_{o,x}+a_{x}\cdot t)\,\hat{i}+v_{y}\,\hat{j}$

Where:

$v_{o,x}$ - Initial velocity in +x direction, measured in meters per second.

$a_{x}$ - Acceleration in +x direction, measured in meter per square second.

- Time, measured in seconds.

$v_{y}$ - Velocity in +y direction, measured in meters per second.

If we know that $v_{o,x} = 0\,\frac{m}{s}$ , $a_{x} = 0.250\,\frac{m}{s^{2}}$ , $t = 45\,s$ and $v_{y} = 21.4\,\frac{m}{s}$ , the final velocity of the satellite is:

$\vec{v}_{S} = \left[0\,\frac{m}{s}+\left(0.250\,\frac{m}{s^{2}} \right)\cdot (45\,s) \right]\,\hat{i}+\left(21.4\,\frac{m}{s} \right)\,\hat{j}$

$\vec{v_{S}} = 11.25\,\hat{i}+21.4\,\hat{j}\,\,\left[\frac{m}{s} \right]$

a) The magnitud of the satellite's velocity can be found by the resource of the Pythagorean Theorem:

$\|\vec {v}_{S}\| = \sqrt{\left(11.25\,\frac{m}{s} \right)^{2}+\left(21.4\,\frac{m}{s} \right)^{2}}$

$\|\vec{v}_{S}\| \approx 24.177\,\frac{m}{s}$

The magnitude of the satellite's velocity when the thruster turns off is approximately 24.177 meters per second.

b) The direction of the satellite's velocity when the thruster turns off is determined with the help of trigonometric functions:

$\tan \alpha = \frac{v_{y}}{v_{x}} = \frac{21.4\,\frac{m}{s} }{11.25\,\frac{m}{s} }$

$\tan \alpha = 1.902$

$\alpha = \tan^{-1}1.902$

$\alpha \approx 62.266^{\circ}$

The direction of the satellite's velocity when the thruster turns off is approximately 62.266º.

ansver

Answer from: Quest

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form

ansver

Answer from: Quest

How many calories in food

Other questions on the subject: Physics

Physics, 21.06.2019 21:50, glocurlsprinces

Acar travels along a highway with a velocity of 24 m/s, west. the car exits the highway; and 4.0 s later, its instantaneous velocity is 16 m/s, 45° north of west. what is the magnitude of the average acceleration of the car during the four-second interval?

Answers: 2

Physics, 22.06.2019 10:00, xojade

How many times did thomas edison mess up the light bulb

Answers: 1

Physics, 22.06.2019 11:30, jacob12049

If the textbook weighs 19.6 newtons on venus, what is the strength of gravity on venus?

Answers: 1

Physics, 22.06.2019 12:10, aedelfrance9250

Aspring has a natural length of 8 m. if a 12-n force is required to keep it stretched to a length of 10 m, how much work w is required to stretch it from 8 m to 16 m? (round your answer to two decimal places.)

Answers: 1

You know the right answer?

A satellite in outer space is moving at a constant velocity of 21.4 m/s in the y direction when one...

Questions in other subjects:

Konu

Mathematics, 12.06.2020 01:57

5. The distance from the shovel to the treasure chest is 60 yards and the distance from the treasure chest to theboat is 50 yards. How far is the boat from the shovel?...

Konu

Business, 12.06.2020 01:57

Janice plans to save $80 a month, starting today, for 20 years. Kate plans to save $80 a month for 20 years, starting one month from today. Both Janice and Kate expect to earn an a...

Konu

Mathematics, 12.06.2020 01:57

The ages of Hari and Harry are in the ratio 5:7. Four years later from now the ration of their ages will be 3:4. Find their present agesPls i need help...

Konu

Chemistry, 12.06.2020 01:57

2H2O(g) → 2H2(g) + O2(g) ΔH = +483.60 kJ/mol at a certain temperature. If the increase in volume is 47.7 L against an external pressure of 1.00 atm, calculate ΔU for this reaction...

Konu

Mathematics, 12.06.2020 01:57

other models in which the exponential and logarithmic functions are involved and write: the formula and utility...

Konu

Health, 12.06.2020 01:57

Which is a long-term consequence of an injury?...

Konu

Mathematics, 12.06.2020 01:57

Please help ASAP Match each statement to the tone it expresses. (4 points) 1. You're so silly, you can't wear pajamas to school. 2. My heart br...

Konu

Business, 12.06.2020 01:57

The Riteway Ad Agency provides cars for its sales staff. In the past, the company has always purchased its cars from a dealer and then sold the cars after three years of use. The c...

Konu

History, 12.06.2020 01:57

What were the three countries of the central powers...

Konu

English, 12.06.2020 01:57

Is the American Dream dead? Just need opinions! Will mark the best answer brainliest!...

More questions: Physics Another questions