1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
disa [49]
2 years ago
12

The x vector component of a displacement vector has a magnitude of 146 m and points along the negative x axis. The y vector comp

onent has a magnitude of 113 m and points along the negative y axis. Find (a) the magnitude and (b) direction of . Specify the direction as a positive angle with respect to the negative x axis.
Physics
1 answer:
larisa86 [58]2 years ago
7 0

Answer:  

a) the magnitude of r is  184.62

b) the direction is 37.74° south of the negative x-axis

   

Explanation:

Given the data in the question;

as illustrated in the image blow;

To find the the magnitude of r, we will use the Pythagoras theorem

r² = y² + x²

r = √( y² + x²)

we substitute

r = √((-113)² + (-146)²)

r = √(12769 + 21316 )

r = √(34085 )

r = 184.62

Therefore, the magnitude of r is  184.62

To find its direction, we need to find ∅

from SOH CAH TOA

tan = opposite / adjacent

tan∅ = -113 / -146

tan∅ = 0.77397

∅ = tan⁻¹( 0.77397 )

∅ = 37.74°

Therefore, the direction is 37.74° south of the negative x-axis

You might be interested in
The potential energy of an object is 16.0 joules. The object is 145cm high.
coldgirl [10]

Answer:

I don't know but you got this!!

8 0
2 years ago
A bubble, located 0.200 m beneath the surface in a glass of beer, rises to the top. The air pressure at the top is 1.01 ???? 10
SIZIF [17.4K]

Answer:

the ratio of the bubble’s volume at the top to its volume at the bottom is 1.019

Explanation:

given information

h = 0.2 m

P_{0} = 1.01  x 10^{5} Pa

P_{1} V_{1} = P_{2} V_{2}

\frac{V_{2} }{V_{1}} = \frac{P_{1} }{P_{2}}

P_{1}  = P_{0}  + ρgh, ρ = 1000 kg/m^{3}

P_{1}  = 1.01 x 10^{5} Pa + (1000 x 9.8 x 0.2) = 1,0296 x 10^{5} Pa

P_{2}  = P_{0}  = 10^{5} Pa

thus,

\frac{V_{2} }{V_{1}} = 1,0296 x [tex]10^{5}/10^{5} = 1.019

8 0
3 years ago
HELP PLEASE<br> (Look at the picture)
kotykmax [81]

Answer:

what is that?

Explanation:

i dont know what us that sorry

3 0
2 years ago
The transverse motion of a star can be determined by studying its spectrum. TRUE or FALSE
Klio2033 [76]
Nope.
False.
The shift in spectral lines reveals only 'radial' motion ...
motion toward us or away from us.  The spectrum
carries no information related to motion across the
line of sight.
6 0
3 years ago
During the spin cycle of a washing machine, the clothes stick to the outer wall of the barrel as it spins at a rate as high as 1
Darya [45]

To answer the two questions, we need to know two important equations involving centripetal movement:

v = ωr (ω represents angular velocity <u>in radians</u>)

a = \frac{v^{2}}{r}

Let's apply the first equation to question a:

v = ωr

v = ((1800*2π) / 60) * 0.26

Wait. 2π? 0.26? 60? Let's break down why these numbers are written differently. In order to use the equation v = ωr, it is important that the units of ω is in radians. Since one revolution is equivalent to 2π radians, we can easily do the conversion from revolutions to radians by multiplying it by 2π. As for 0.26, note that the question asks for the units to be m/s. Since we need meters, we simply convert 26 cm, our radius, into meters. The revolutions is also given in revs/min, and we need to convert it into revs/sec so that we can get our final units correct. As a result, we divide the rate by 60 to convert minutes into seconds.

Back to the equation:

v = ((1800*2π)/60) * 0.26

v = (1800*2(3.14)/60) * 0.26

v = (11304/60) * 0.26

v = 188.4 * 0.26

v = 48.984

v = 49 (m/s)

Now that we know the linear velocity, we can find the centripetal acceleration:

a = \frac{v^{2}}{r}

a = \frac{49^{2}}{0.26}

a = 9234.6 (m/s^{2})

Wow! That's fast!

<u>We now have our answers for a and b:</u>

a. 49 (m/s)

b. 9.2 * 10^{3} (m/s^{2})

If you have any questions on how I got to these answers, just ask!

- breezyツ

5 0
2 years ago
Other questions:
  • Show with proof, the planet which an astronaut would have a greater weight if Planet A has twice the mass and twice the radius o
    5·1 answer
  • What do you think is the charge of the nucleus of an atom
    5·1 answer
  • Give one chemical and physical property of wood.
    14·1 answer
  • On a distant planet, golf is just as popular as it is on earth. A golfer tees off and drives the ball 2.50 times as far as he wo
    13·1 answer
  • Two forces Fa and Fb are applied to an object whose mass is 5.42 kg. slader The larger force is Fa. When both forces point due e
    11·2 answers
  • Un automóvil que va a 36Km/h acelera durante 8segundos hasta llegar a una velocidad de 108 Km/h y luego frena hasta detenerse en
    9·1 answer
  • 3. An ecosystem is different from all of
    8·2 answers
  • Which of the following statements is true?
    5·1 answer
  • It is a set of measure designed to determine the level of physical fitness?
    11·1 answer
  • Many electrical appliances use cells (batteries). there's a torch with two batteries inside it (the torch needs two cells to giv
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!