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
ozzi
3 years ago
6

A ship leaves the island of Guam and sails a distance 255 km at an angle 49.0 o north of west. Part A: In which direction must i

t now head so that its resultant displacement will be 125 km directly east of Guam? (Express your answer as an angle measured south of east) Part B: How far must it sail so that its resultant displacement will be 125 km directly east of Guam?
Physics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

Explanation:

We shall represent displacement in vector form .Consider east as x axes and north as Y axes west as - ve x axes and south as - ve Y axes . 255 km can be represented by the following vector

D₁ = - 255 cos 49 i  + 255 sin49 j

= - 167.29 i + 192.45 j

Let D₂ be the further displacement which lands him 125 km east . So the resultant displacement is

D = 125 i

So

D₁ + D₂ = D

- 167.29 i + 192.45 j + D₂ = 125 i

D₂ = 125 i + 167.29 i - 192.45 j

= 292.29 i - 192.45 j

Angle of D₂ with x axes θ

tan θ = -192.45 / 292.29

= - 0.658

θ = 33.33 south of east

Magnitude of D₂

D₂² = ( 192.45)² + ( 292.29)²

D₂ = 350 km approx

Tan

You might be interested in
The magnitude of the weight of a 3.0 kg object on the surface of the earth is 29 N. True False
madreJ [45]
True

In fact, the weight of an object on the surface of the Earth is given by:
F=mg
where m is the mass of the object and g=9.81 m/s^2 is the gravitational acceleration on Earth's surface. If we use the mass of the object, m=3.0 kg, we find
F=mg=(3.0 kg)(9.81 m/s^2)=29 N
8 0
3 years ago
Determine the magnitude of the resultant force acting on a 1.5 −kg particle at the instant t=2 s, if the particle is moving alon
Phoenix [80]

Answer:

F = 63N

Explanation:

M= 1.5kg , t= 2s, r = (2t + 10)m and

Θ = (1.5t² - 6t).

magnitude of the resultant force acting on 1.5kg = ?

Force acting on the mass =

∑Fr =MAr

Fr = m(∇r² - rθ²) ..........equation (i)

∑Fθ = MAθ = M(d²θ/dr + 2dθ/dr) ......... equation (ii)

The horizontal path is defined as

r = (2t + 10)

dr/dt = 2, d²r/dt² = 0

Angle Θ is defined by

θ = (1.5t² - 6t)

dθ/dt = 3t, d²θ/dt² = 3

at t = 2

r = (2t + 10) = (2*(2) +10) = 14

but dr/dt = 2m/s and d²r/dt² = 0m/s

θ = (1.5(2)² - 6(2) ) = -6rads

dθ/dt =3(2) - 6 = 0rads

d²θ/dt = 3rad/s²

substituting equation i into equation ii,

Fr = M(d²r/dt² + rdθ/dt) = 1.5 (0-0)

∑F = m[rd²θ/dt² + 2dr/dt * dθ/dt]

∑F = 1.5(14*3+0) = 63N

F = √(Fr² +FΘ²) = √(0² + 63²) = 63N

7 0
3 years ago
A traditional unit of length in Japan is the ken (1ken =1.97 m) . What are the ratios of (a) square kens to a square meters? and
Law Incorporation [45]
4 . I hope I helped your welcome
6 0
3 years ago
Complete the following:
masha68 [24]

When light is incident parallel to the principal axis and then strikes a lens, the light will refract through the focal point on the opposite side of the lens.

To find the answer, we have to know about the rules followed by drawing ray-diagram.

<h3>What are the rules obeyed by light rays?</h3>
  • If the incident ray is parallel to the principal axis, the refracted ray will pass through the opposite side's focus.
  • The refracted ray becomes parallel to the major axis if the incident ray passes through the focus.
  • The refracted ray follows the same path if the incident light passes through the center of the curve.

Thus, we can conclude that, when light is incident parallel to the principal axis and then strikes a lens, the light will refract through the focal point on the opposite side of the lens.

Learn more about refraction by a lens here:

brainly.com/question/13095658

#SPJ1

8 0
1 year ago
A lens is used to make an image of magnification -1.50. The image is 30.0 cm from the lens. What is the object’s distance (unit=
jeka57 [31]

Answer: 20cm

Explanation:

Given the following data:

Magnification of image = - 1.50

Distance of image from the lens = 30.0cm

The Magnification of an image is the ratio of the image distance from the lens and the object distance from the lens.

Mathematically,

Magnification(M) = - (image distance (di) / object distance (do))

M = - (di/do)

-1.50 = - (30/do)

do = 30 / 1.5

do = 20 cm

Object is placed at a distance of 20cm from the lens.

5 0
3 years ago
Other questions:
  • If element X has 99 protons, how many elctrons does it have?
    9·2 answers
  • A meteoroid is in a circular orbit 600 km above the surface of a distant planet. The planet has the same mass as Earth but has a
    13·1 answer
  • These four surfaces are opaque; that is they reflect or absorb certain rays of light determine the color
    8·1 answer
  • At a certain instant a rigid wheel is spinning about its center of mass with angular velocity of magnitude ω and angular acceler
    6·1 answer
  • 12–139. Cars move around the “traffic circle” which is in the shape of an ellipse. If the speed limit is posted at 60 km&gt;h, d
    11·1 answer
  • r was thirsty and decided to mix up a pitcher of lemonade. She put lemon juice, water, and sugar into a pitcher and stirred it t
    15·2 answers
  • Which geologic feature would most likely be represented by contour lines drawn far apart from one another?
    15·1 answer
  • Please help me choose which one the correct answer is.
    10·1 answer
  • 3. Work out the mass if an object is accelerated at <br> 10 m/s2 and has a weight of 98N.
    10·1 answer
  • Acar start from rest and go with velocity of 4m/s for 4second what is acceleration of car​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!