answer.
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
gulaghasi [49]
2 years ago
6

You are flying your Scooty Puff Jr. spaceship at 400 m/s in a direction 40 degrees from the positive y-axis towards the negative

x-axis. You're also accelerating at a rate of 0.5 m/s2 in a direction 30 degrees from the positive x-axis towards the negative y-axis. What is your current velocity?

Physics
1 answer:
vazorg [7]2 years ago
7 0

Answer:

Explanation:

Given

velocity of spaceship =400 m/s

at angle of 40^{\circ} from Positive Y axis towards negative x axis

acceleration of Spaceship=0.5 m/s^2

at an angle of 30^{\circ} from positive x axis towards the negative x axis

\vec{v}=400\left ( -\sin(40)\hat{i}+\cos (40)\hat{j}\right )

\vec{v}=-257.11\hat{i}+306.41\hat{j}

acceleration

\vec{a}=0.5\left ( \cos (30)\hat{i}-\sin (30)\hat{j}\right )

\vec{a}=0.433\hat{i}-0.25\hat{j}

You might be interested in
The 1.5-in.-diameter shaft AB is made of a grade of steel with a 42-ksi tensile yield stress. Using the maximum-shearing-stress
PolarNik [594]

Answer:

T = 0.03 Nm.

Explanation:

d = 1.5 in = 0.04 m

r = d/2 = 0.02 m

P = 56 kips = 56 x 6.89 = 386.11 MPa

σ = 42-ksi = 42 x 6.89 = 289.58 MPa

Torque = T =?

<u>Solution:</u>

σ = (P x r) / T

T = (P x r) / σ

T = (386.11 x 0.02) / 289.58

T = 0.03 Nm.

7 0
2 years ago
A 5⁢kg object is released from rest near the surface of a planet such that its gravitational field is considered to be constant.
Umnica [9.8K]

Answer:

The gravitational force exerted on the object is 75 N (answer D)

Explanation:

Hi there!

The gravitational force is calculated as follows:

F = m · g

Where:

F = force of gravity.

m = mass of the object.

g = acceleration due to gravity (unknown).

For a falling object moving in a straight line, its height at a given time can be calculated using the following equation:

y = y0 + v0 · t + 1/2 · a · t²

Where:

y = position at time t.

y0 = initial position.

v0 = initial velocity.

t = time.

g = acceleration due to gravity.

Let´s place the origin of the frame of reference at the point where the object is released so that y0 = 0. Let´s also consider the downward direction as negative.

Then, after 2 seconds, the height of the object will be -30 m:

y = y0 + v0 · t + 1/2 · g · t²

-30 m = 0 m + 0 m/s · 2 s + 1/2 · g · (2 s)²

-30 m = 1/2 · g · 4 s²

-30 m = 2 s ² · g

-30 m/2 s² = g

g = -15 m/s²

Then, the magnitude of the gravitational force will be:

F = m · g

F = 5 kg · 15 m/s²

F = 75 N

The gravitational force exerted on the object is 75 N (answer D)

Have a nice day!

8 0
2 years ago
The dogs of four-time Iditarod Trail Sled Dog Race champion Jeff King pull two 100-kg sleds that are connected by a rope. The sl
KonstantinChe [14]

Answer:

Acceleration, a=1.2\ m/s^2

Explanation:

Given that,

The dogs of four-time Iditarod Trail Sled Dog Race champion Jeff King pull two 100-kg sleds that are connected by a rope, m = 100 kg

Force exerted by the doges on the rope attached to the front sled, F = 240 N

To find,

The acceleration of the sleds.

Solution,

Let a is the acceleration of the sleds. The product of mass and acceleration is called force. Its expression is given by :

F = ma

a=\dfrac{F}{m}

a=\dfrac{240\ N}{2\times 100\ kg} (m = 2m)

a=1.2\ m/s^2

So, the acceleration of the sleds is 1.2\ m/s^2.

6 0
1 year ago
"if a stream flow measures 12 meters in 60 seconds, what is the stream's average rate of flow?"
Vlad [161]
<span>Discharge is the volume of water moving down a stream or river per unit of time, commonly expressed in cubic feet per second or gallons per day. In general, river discharge is computed by multiplying the area of water in a channel cross section by the average velocity of the water in that cross section: discharge = area * velocity. In this case, the answer is 0.2 m/s.</span>
7 0
2 years ago
Planetary orbits... are spaced more closely together as they get further from the Sun. are evenly spaced throughout the solar sy
BaLLatris [955]

Answer:

E) are almost circular, with low eccentricities.

Explanation:

Kepler's laws establish that:

All the planets revolve around the Sun in an elliptic orbit, with the Sun in one of the focus (Kepler's first law).

A planet describes equal areas in equal times (Kepler's second law).

The square of the period of a planet will be proportional to the cube of the semi-major axis of its orbit (Kepler's third law).

T^{2} = a^{3}

Where T is the period of revolution and a is the semi-major axis.

Planets orbit around the Sun in an ellipse with the Sun in one of the focus. Because of that, it is not possible to the Sun to be at the center of the orbit, as the statement on option "C" says.

However, those orbits have low eccentricities (remember that an eccentricity = 0 corresponds to a circle)

In some moments of their orbit, planets will be closer to the Sun (known as perihelion). According with Kepler's second law to complete the same area in the same time, they have to speed up at their perihelion and slow down at their aphelion (point farther from the Sun in their orbit).

Therefore, option A and B can not be true.

In the celestial sphere, the path that the Sun moves in a period of a year is called ecliptic, and planets pass very closely to that path.  

4 0
2 years ago
Other questions:
  • In grassland regions, rainy seasons and drought seasons determine, in part, the _____. kinds of resident organisms spread of fir
    7·2 answers
  • A device used to increase or decrease the emf in the second of two unconnected coils is a
    10·1 answer
  • You place your hands over a steaming bowl of soup to warm them. Which type of heat transfer are you experiencing?
    10·2 answers
  • 160 students sit in an auditorium listening to a physics lecture. Because they are thinking hard, each is using 125 W of metabol
    15·1 answer
  • Which of the following is a characteristic of electromagnetic waves?
    8·2 answers
  • At room temperature, an oxygen molecule, with mass of 5.31x10-26kg , typically has a kinetic energy of about 6.21x10-21J.How fas
    15·1 answer
  • Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of
    9·1 answer
  • To move a suitcase up to the check-in stand at the airport a student pushes with a horizontal force through a distance of 0.95 m
    9·1 answer
  • An object is projected with initial speed v0 from the edge of the roof of a building that has height H. The initial velocity of
    7·1 answer
  • In mammals, the weight of the heart is approximately 0.5% of the total body weight. Write a linear model that gives the heart we
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!