Which of these planets is the odd one out based on their physical features?

The route followed by a hiker consists of three displacement vectors, X, Y and Z. Vector X is along a measured trail and is 1430

poizon [28]

Answer:

magnitude : 1635.43 m
Angle: 130°28'20'' north of east

Explanation:

First, we will find the Cartesian Representation of the $\vec{X}$ and $\vec{Y}$ vectors. We can do this, using the formula

$\vec{A}= | \vec{A} | \ ( \ cos(\theta) \ , \ sin (\theta) \ )$

where $| \vec{A} |$ its the magnitude of the vector and θ the angle. For $\vec{X}$ we have:

$\vec{X}= 1430 m \ ( \ cos( 42 \°) \ , \ sin (42 \°) \ )$

$\vec{X}= ( \ 1062.70 m \ , \ 956.86 m \ )$

where the unit vector $\hat{i}$ points east, and $\hat{j}$ points north. Now, the $\vec{Y}$ will be:

$\vec{Y}= - 2200 m \hat{j} = ( \ 0 \ , \ - 2200 m \ )$

Now, taking the sum:

$\vec{X} + \vec{Y} + \vec{Z} = 0$

This is

$\vec{Z} = - \vec{X} - \vec{Y}$

$(Z_x , Z_y) = - ( \ 1062.70 m \ , \ 956.86 m \ ) - ( \ 0 \ , \ - 2200 m \ )$

$(Z_x , Z_y) = ( \ - 1062.70 m \ , \ 2200 m \ - \ 956.86 m \ )$

$(Z_x , Z_y) = ( \ - 1062.70 m \ , \ 1243.14 m\ )$

Now, for the magnitude, we just have to take its length:

$|\vec{Z}| = \sqrt{Z_x^2 + Z_y^2}$

$|\vec{Z}| = \sqrt{(- 1062.70 m)^2 + (1243.14 m)^2}$

$|\vec{Z}| = 1635.43 m$

For its angle, as the vector lays in the second quadrant, we can use:

$\theta = 180\° - arctan(\frac{1243.14 m}{ - 1062.70 m})$

$\theta = 180\° - arctan( -1.1720)$

$\theta = 180\° - 45\°31'40''$

$\theta = 130\°28'20''$

5 0

3 years ago

A body moves due north with velocity 40 m/s. A force is applied

marshall27 [118]

Answer:

the direction of rate of change of the momentum is against the motion of the body, that is, downward.

The applied force is also against the direction of motion of the body, downward.

Explanation:

The change in the momentum of a body, if the mass of the body is constant, is given by the following formula:

$\Delta p=\Delta (mv)\\\\\Delta p=m\Delta v$

p: momentum

m: mass

$\Delta v$ : change in the velocity

The sign of the change in the velocity determines the direction of rate of change. Then you have:

$\Delta v=v_2-v_1$

v2: final velocity = 35m/s

v1: initial velocity = 40m/s

$\Delta v =35m/s-40m/s=-5m/s$

Hence, the direction of rate of change of the momentum is against the motion of the body, that is, downward.

The applied force is also against the direction of motion of the body, downward.

4 0

3 years ago

5,184,000,000,000 meters in scientific notation

posledela

5.184 x 10^12 is the answer

8 0

1 year ago

The accepted value for the speed of sound is around 340 m/s. What are some reasons your value may be a little different from the

Anettt [7]

Answer:

The speed of sound depends on the medium thru which it travels in contrast to light (electromagnetic) which can travel thru a vacuum.

The speed of sound will depend on the density of the air thru which it travels - the density of air is particularly affected by

humidity - water vapor in the air contributes to less density

temperature - warmer is less dense

motion of air - if the air is not motionless the speed will be affected

6 0

2 years ago

A computer mouse (.234 kg) and a full coffee mug (.647 g) are sitting 42.0 cm apart on a desk. Find the gravitational force betw

shutvik [7]

Answer:

euphoria

Explanation:

because euphoria

7 0

3 years ago