All categories

3 years ago

How are vectors added and subtracted

1 answer:

8 0

Place the next vector with its tail at the previous vector's head. ... To subtract vectors, proceed as if adding the two vectors, but flip the vector to be subtracted across the axes and then join it tail to head as if adding. Adding or subtracting any number of vectors yields a resultant vector.

Explanation:

You might be interested in

What is the difference between kinetic and gravitacional energy?

kondaur [170]

Answer:

In physics, the kinetic energy (KE) of an object is the energy that it possesses due to its motion

In classical mechanics, the gravitational potential at a location is equal to the work (energy transferred) per unit mass that would be needed to move an object to that location from a fixed reference location. It is analogous to the electric potential with mass playing the role of charge. The reference location, where the potential is zero, is by convention infinitely far away from any mass, resulting in a negative potential at any finite distance.

In mathematics, the gravitational potential is also known as the Newtonian potential and is fundamental in the study of potential theory. It may also be used for solving the electrostatic and magnetostatic fields generated by uniformly charged or polarized ellipsoidal bodies

8 0

3 years ago

Un automovil parte del reposo y acelera uniformemente hasta alcanzar una rapidez de 0,255km/h en un tiempo de 3/4 Minutos determ

Elden [556K]

Answer:

a = 1.5*10^-3 m/s^2

x = 0.033m = 3.3cm

Explanation:

To calculate the acceleration and the distance traveled by the car you use the following formulas:

$v=v_o+at$ (1)

$x=v_ot+\frac{1}{2}at^2$ (2)

v: final velocity = 0,255 km/h

vo: initial velocity = 0 m/s

t: time = 3/4 min

a: acceleration = ?

x: distance

In order to use the equations (1) and (2) you first convert the units of the final velocity to m/s, and the time to seconds.

$v=0,255\frac{km}{h}*\frac{1000m}{1km}*\frac{1h}{3600s}\\\\v=0.07m/s\\\\t=\frac{3}{4}min*\frac{60s}{1min}=45s$

Next, you solve the equation (1) for the acceleration a:

$a=\frac{v}{t}=\frac{0.07m/s}{45s}=1.5*10^{-3}\frac{m}{s^2}$

With this value of a you can calculate the distance traveled by the car, by using the equation (2):

$x=\frac{1}{2}(1.5*10^{-3}m/s^2)(45s)^2=0.033m=3.3cm$

hence, the acceleration of the car is 1.5*10^-3 m/s^2 and the distance traveled in 3/4 min is 0.033m

5 0

3 years ago

The concentration of carbon monoxide in an urban apartment is 48 Î¼g/m3. What mass of carbon monoxide in grams is present in a r

Vedmedyk [2.9K]

Answer:

The answer is 3213.6 grams.

Explanation:

In meters the room dimensions are 3.05-3.2-6.86.

Total volume of the room is:

$3.05*3.2*6.86=66.95$

66.95 m3.

The density of carbon monoxide is 48 g/m3. Then total grams is present in a room measuring:

$66.95*48=3213.6$

8 0

4 years ago

An iron nail is made up of particles. What is true about the particles?Why does ice float on water?

Archy [21]

Answer: i know that ice is denser than water because of the reason why ice is expanding:air. ice has tiny air packets inside that make it bigger than the original state(the state which a substance is at at room temperature.

Explanation:

Iron is an element that has been known in its pure form for at least 5,000 years. The name "iron" comes from the...

The element symbol for iron is Fe, which comes from the Latin word for iron, "ferrum."

Iron is one of the most plentiful elements. It comprises about 5.6 percent of the Earth's crust and almost all of its core

Iron is a transition metal.

Animals and plants require iron. Plants use iron in chlorophyll, the pigment used in photosynthesis. Humans use iron in hemoglobin molecules in blood to allow for the transport of oxygen to tissues throughout the body.

4 0

3 years ago

Lacie kicks a football from ground level at a velocity of 13.9 m/s and at an angle of 25.0° to the ground. You have determined t

luda_lava [24]

The horizontal distance traveled by the ball (range of motion) is given by the following equation:

$x= v_{0x} t$

In which $x$ is the range of motion, $v_{0x}$ is the horizontal component of the initial velocity, and $t$ is the time of motion.

First, lets calculate the horizontal component of the initial velocity:

$v_{0x}= v_{0}cos( \alpha)=13.9cos(35)=11.39$

Now, we calculate the time of motion from the equation that described the motion of the ball in the vertical axis:

$y= \frac{1}{2}at^2+ v_{0y}t$

In which $y$ is the position of the ball vertically, $v_{0y}$ is the vertical component of the initial velocity, $a$ is the acceleration in the vertical axis (which is gravity), and $t$ is time of motion.

We want to find the time when the ball lands, hence, when $y=0$ ; so the equation becomes:

$0= \frac{1}{2}at^2+ v_{0y}t=\frac{1}{2}at^2+ v_{0}sin( \alpha )t=\frac{1}{2}(-9.8)t^2+ 13.9sin(35 )t$

We rewrite it a bit more:

$-4.9t^2+7.97t=0$

This is a quadratic equation, so we use the quadratic equation formula to solve for time (we'll get two answers):

$t= -\frac{1}{9.8} [{-7.97}+-\sqrt{(7.97)^2}]$

Clearly, one of the answers is $t=0$ , this is before you kick the ball (it is on the ground), we want the nonzero answer (when it lands) so:

$t= -\frac{1}{9.8} ({-7.97}-7.97})=1.63$

Now, we plug-in the time value to the equation of the motion's range:

$x= v_{0x} t=(11.39)(1.63)=18.57$

The ball will travel 18.57 meters.

6 0

3 years ago

Read 2 more answers