A lounging leopard decides to come down out of her tree and hunt for her lunch in the savanna. The graph above represents the motion of the leopard as a function of time.

What is the distance traveled by the leopard during the entire 11 seconds? Please include a number and uni

Answer:

Explanation:

From, the given information: we are not given any value for the mass, the proportionality constant and the distance

Assuming that:

the mass = 5 kg and the proportionality constant = 50 kg

the distance of the mass above the ground x(t) = 1000 m

Let's recall that:

[tex]v(t) = \dfrac{mg}{b}+ (v_o - \dfrac{mg}{b})^e^{-bt/m}[/tex]

Similarly, The equation of mption:

[tex]x(t) = \dfrac{mg}{b}t+\dfrac{m}{b} (v_o - \dfrac{mg}{b}) (1-e^{-bt/m})[/tex]

replacing our assumed values:

where [tex]v_=0 \ and \ g= 9.81[/tex]

[tex]x(t) = \dfrac{5 \times 9.81}{50}t+\dfrac{5}{50} (0 - \dfrac{(5)(9.81)}{50}) (1-e^{-(50)t/5})[/tex]

[tex]x(t) = 0.981t+0.1 (0 - 0.981) (1-e^{-(10)t}) \ m[/tex]

[tex]\mathbf{x(t) = 0.981t-0.981(1-e^{-(10)t}) \ m}[/tex]

So, when the object hits the ground when x(t) = 1000

Then from above derived equation:

[tex]\mathbf{x(t) = 0.981t-0.981(1-e^{-(10)t}) \ m}[/tex]

[tex]1000= 0.981t-0.981(1-e^{-(10)t}) \ m[/tex]

By diregarding [tex]e^{-(10)t} \ m[/tex]

[tex]1000= 0.981t-0.981[/tex]

1000 + 0.981 = 0.981 t

1000.981 = 0.981 t

t = 1000.981/0.981

t = 1020.36 sec

Answer:

Please find the answer in the explanation

Explanation:

1.) How far is Object Z from the origin at t = 3 seconds

The distance of the object Z from the origin will be the slope of the graph.

Slope = 4/2 = 2m

2.) Which object takes the least time to reach a position 4 meters from the origin ?

According to the graph given to the question above, object Z has the list time which is 2 seconds since object X does not start from the origin.

3.) Which object is farthest from the origin at t = 2 seconds?

The correct answer is still object Z because it has the highest slope.

the answer is c because you have to move the decimal back because of the negative

Answer:

The answer is C burning the wood

Answer:

Inertia: a tendency to do nothing or to remain unchanged; momentum:the quantity of motion of a moving body; velocity:the speed of something in a given direction; acceleration: a vehicles capacity to gain speed within a short time

Answer:

Yes the color changes. If the star is moving away from the earth the color of the star is shifted towards red (red-shift).

This is similar to the change  in sound from an approaching train whistle (higher pitch) or a receding train  whistle (lower pitch) - the Doppler Effect.

Note that the equations for the Doppler Effect for sound and for light are different - sound travels thru air but no such medium can be identified for light.

Answer:

average acceleration = 6 [tex]\frac{m}{s^2}[/tex]

Explanation:

Recall that the average acceleration [tex](a)[/tex]  is defined by the change in velocity from an initial velocity [tex](v_i)[/tex], to a final velocity [tex](v_f)[/tex] over the time (t) it took that change to happen. Then, in mathematical terms this is:

[tex]a=\frac{v_f-v_i}{t}[/tex]

with our information this becomes:

[tex]a=\frac{v_f-v_i}{t} = \frac{100-40}{10}=6\,\frac{m}{s^2}[/tex]

Answer:

its 667m just took the test

Explanation:

Answer:

a) 3.56 x 10^22 N

b) 3.56 x 10^22 N

Explanation:

Mass of the sun M = 2 x 10^30 kg

mass of the Earth m = 6 x 10^24 kg

Distance between the sun and the Earth R = 1.5 x 10^11 m

From Newton's law,

F = [tex]\frac{GMm}{R^2}[/tex]

where F is the gravitational force between the sun and the Earth

G is the gravitational constant = 6.67 × 10^-11 m^3 kg^-1 s^-2

m is the mass of the Earth

M is the mass of the sun

R is the distance between the sun and the Earth.

Substituting values, we have

F = [tex]\frac{6.67*10^{-11}*2*10^{30}*6*10^{24}}{(1.5*10^{11})^2}[/tex] = 3.56 x 10^22 N

A) The force exerted by the sun on the Earth is equal to the force exerted by the Earth on the Sun also, and the force is equal to 3.56 x 10^22 N

b) The force exerted by the Earth on the Sun = 3.56 x 10^22 N

Part A:

The magnitude of the gravitational force exerted by the Sun on the Earth is :

From Newton's law,

F = GmM/F

Substituting values,

F =  = 3.56 x 10^22 N

The force exerted by the sun on the Earth is equal to the force exerted by the Earth on the Sun also, and the force is equal to 3.56 x 10^22 N.

Part B:

The force exerted by the Earth on the Sun = 3.56 x 10^22 N.

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Answer:

ΔV = 0.816 L

Explanation:

The change in volume of the fluid upon heating is given by the following formula:

ΔV = βVΔT

where,

ΔV = Increase in Volume of Fluid = Volume of Overflow = ?

β = Coefficient of volumetric expansion of fluid = 600 x 10⁻⁶ °C⁻¹

ΔT = Change in Temperature = Final Temperature - Initial Temperature

ΔT = 95°C - 10°C = 85°C

Therefore,

ΔV = (600 x 10⁻⁶ °C⁻¹)(16 L)(85° C)

ΔV = 0.816 L

Answer:

v = 0.58 m/s

Explanation:

The velocity of an object is given as the ratio of the total distance traveled by the object to the time interval taken for traveling. Hence, we use the following formula to find the average velocity of the cyclist:

v = s/t

where,

v = average velocity = ?

s = distance traveled = final position - initial position =1200 m - 150 m =1050 m

t = time interval = (30 min)(60 s/1 min) = 1800 s

Therefore,

v = 1050 m/1800 s

v = 0.58 m/s

Answer:

20 kg

Explanation:

Assuming that the board remains horizontal with the unknown mass on it, then F = kx

If we add the vertical forces to zero, we have something like this

2F - (M + 10)g = 0

2F = (M + 10)g, next, divide both sides by 2

F = (M + 10)g/2

Since we were able to sum the moments at the right end of the board to zero, we then proceed to find the unknown mass M

To start, we say, Let the clockwise moment is positive, and so

F * 4 + F * 2 - Mg * 3.5 - 10 * g * 2 = 0

4F + 2F - 3.5Mg - 10 * 2 * g = 0

6F - 3.5Mg - 10 * 2 * g = 0,

Remember from above, we say that

F = M + 10)g/2, now, all we do is substitute it inside this equation

6 * (M + 10)g/2 - 3.5Mg - 10 * 2 * g = 0

3 * (M + 10)g - 3.5Mg - 10 * g * 2 = 0, divide all sides by g(so as to eliminate it)

3 (M + 10) - 3.5M - 10 * 2= 0

3M + 30 - 3.5M - 20 = 0

-0.5M + 10 = 0

0.5M = 10

M = 10/0.5

M = 20 kg

The mass of the block that was placed on the board is; M = 20 kg

Since the two supports are the same, then it means their forces will be the same.

Thus;

Force at left support = F

Force at right support = F

Now, we are told that a block of unknown mass is placed on the stiff board. This means that the sum of the weight of the board and and the block on it will be; (M + 10)g

where M is the mass of the block.

Now, from equilibrium we know that sum of upward forces is equal to sum of downward forces. Thus;

F + F = (M + 10)g

Thus;

2F = (M + 10)g

F = ¹/₂(M + 10)g

Now, taking moments about the right end gives;

(F × 4) + (F × 2) - (M × 3.5)g - (10 × 2)g = 0

6F - 3.5Mg - 20g = 0

Put ¹/₂(M + 10)g for F to get;

6(¹/₂(M + 10)g) - 3.5Mg - 20g = 0

Divide through by g to get;

3(M + 10) - 3.5M = 20

3M + 30 - 3.5M = 20

3.5M - 3M = 30 - 20

0.5M = 10

M = 10/0.5

M = 20 kg

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Answer:

the answer is true

Explanation:

Answer:

The time taken is [tex]t = 52.5 \ s [/tex]

Explanation:

From the question we are told that

The speed limit is [tex]v__{{l}}} = 96.0 \ km/hr = \frac{96 * 1000}{3600} = 26.7 \ m/s[/tex]

The velocity of the motorist is [tex]v_m = 107 \ km/hr = \frac{107 * 1000}{3600} = 29.72 \ m/s[/tex]

The chase speed of the motorcycle patrolman is [tex]v = 131 \ km/hr = \frac{131 *1000}{3600} = 36.39 \ m/s[/tex]

The relative distance between the motorcycle patrolman and the speeder is d= 350 m

Generally the relative speed between the the motorcycle patrolman and the speeder is mathematically represented as

[tex]v_r = v - v_m[/tex]

=> [tex]v_r = 36.39 - 29.72[/tex]

=> [tex]v_r = 6.67 \ m/s [/tex]

Generally the time taken is mathematically represented as

[tex]t = \frac{v_r}{d}[/tex]

=>     [tex]t =  \frac{350}{ 6.67}[/tex]

=>    [tex]t =  52.5 \  s [/tex]

Explanation:

F = ma

m = F/a

= 12N / 2m/s2

= 6kg

The mass of the object is 6kg.

A force is defined as an effect that can change the motion of an object by which an object with mass can change its velocity, that is, accelerate. Force can also be described simply as a push or pull. A force has both magnitude and direction which makes it a vector quantity.

According to the Newton's second law of motion is F = ma, or force is equal to mass times acceleration.  

Where, F= Force applied

m= mass of the object

a= acceleration

For above given information,

F= 12 N

Acceleration= [tex]2 m/s^2[/tex]

So, mass will be m=F/a

m= 12/2 = 6kg

Thus, the mass of the object is 6kg.

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Given :

A boy walked 22 m East then 43 m West , and then 3 meters East.

To Find :

What is the sum of the boys motion.

Solution :

We need to find the sum of all the motion of boy .

So , we need to find the distance covered by the boy .

We know , total distance covered is absolute sum of all the motion .

[tex]D=22+43+3\\\\D=68\ meters[/tex]

Therefore , total distance covered is 68 meters .

Hence , this is the required solution .

Answer:

It's 18m West.

Explanation:

Imagine you have a number line. your starting point was 22 east of origin. Then you went 43 meters west which leaves you at 21m west. Then you go back east 3 meters. Which leaves you at 18 m west. I hope this helps.

Answer:

B. Adding more protons to a positively charged body until the number of protons matches the number of electrons

Explanation:

Answer:

he factor for the temporal part 1.296 107 s² = h²

 m / s² = 12960 km / h²

Explanation:

This is a unit conversion exercise.

In the unit conversion, the size of the object is not changed, only the value with respect to which it is measured is changed, for this reason in the conversion the amount that is in parentheses must be worth one.

In this case, it is requested to convert a measure km/h²

Unfortunately, it is not clearly indicated what measure it is, but the most used unit in physics is   m / s² , which is a measure of acceleration. Let's cut this down

the factor for the distance is 1000 m = 1 km

the factor for time is 3600 s = 1 h

let's make the conversion

        m / s² (1km / 1000 m) (3600 s / 1h)²

note that as time is squared the conversion factor is also squared

        m / s² = 12960 km / h²

the factor for the temporal part 1.29 107 s² = h²

Answer:

Felipe's average speed over the 20s period is 14.4 km/h.

Explanation:

To determine the speed at which Felipe has walked, the distance traveled and the time it took him must be considered.

Thus, Felipe walked 80 meters (20 towards the truck, and 60 inside it) in a total of 20 seconds. That is, he traveled 4 meters per second (80/20 = 4).

Now, to transfer said speed to kilometers per hour, the following calculation must be performed:

1 hour = 60 minutes

1 = 60 seconds

Number of seconds in an hour: 60 x 60 = 3600

Thus, Felipe has walked at an average speed of 14,400 meters per hour (4 x 3,600 = 14,400). So, since a kilometer consists of 1000 meters, its average speed in kilometers per hour was 14.4 km / h (14,440 / 1,000 = 14.4).

Answer: the answer is 4.0 for both

Explanation: on khan academy !!!

Answer:

Explanation:

M= 0.003 kg

F=300N

a=?

F=mass*acceleration

a=F/m

a=300/0.003

a=100,000m/s^2

Answer:

a) surface   λ = 5 10⁻⁷ m

   nuecleus λ=  2,890 10⁻⁹ m

there is a mixture of wavelengths giving rise to white light

b) True color sun is White

Explanation:

Wien's law establishes a relationship between the temperature of a star and the maximum wavelength emitted

          λ T = 2,898 10⁻³

if we calculate the wavelength of the Sun

T = 5800K       λ = 5 10⁻⁷ m = 5000 nm

this is the surface temperature

in the part of the  internal Sunspart (Nucleus)  about 10⁶ degrees this is where the nuclear reaction occurs

in this region the photons are very short λ

      λ = 2,890 10⁻³ / 106

      λ=  2,890 10⁻⁹ m

these photons are absorbed and emitted on their way to the surface of the sun many times, therefore there is a mixture of wavelengths giving rise to white light

b) Sunlight when it reaches Earth is absorbed by atmospheric gases, mainly Blue, as it is absorbed by Nitrogen, it lets through mainly red and red

True color sun is White

Answer:

[tex]\Rightarrow L=70 .03472 cm[/tex]

Explanation:

For convenience, let's represent the thermal expansion coefficient by [tex]\alpha[/tex], i.e. [tex]????=\alpha[/tex].

Given that, for steel [tex]\alpha =1.24\times 10^{-5}[/tex] °[tex]C^{-1}[/tex],

initial length, [tex]L_0=70 cm[/tex], initial temperature, [tex]T_0=70[/tex] °[tex]C[/tex], and the final temperature, [tex]T=110[/tex] °[tex]C[/tex].

Let the length of the rod at [tex]T=110[/tex] °[tex]C[/tex] be [tex]L[/tex].

Now, change in length, [tex]\Delta L=\alpha L_0 \Delta T[/tex]

[tex]\Rightarrow \Delta L=\alpha L_0 (T-T_0)[/tex]

[tex]\Rightarrow L-L_0=1.24\times 10^{-5}\times 70 (110-70)[/tex]

[tex]\Rightarrow L-70=1.24\times 10^{-5}\times 70 \times 40[/tex]

[tex]\Rightarrow L=70 + 0.03472 cm[/tex]

[tex]\Rightarrow L=70 .03472 cm[/tex]

Hence, the length of the rod at [tex]T=110[/tex] °[tex]C[/tex] be [tex]70.03472 cm[/tex].

Explanation:

It is given that,

Resistance, R = 20 ohms

Voltage of the battery, V = 10 V

We can find current flowing through the circuit using Ohm's law as follows :

V = IR

[tex]I=\dfrac{V}{R}\\\\I=\dfrac{10}{20}\\\\I=0.5\ A[/tex]

It can be seen from the Ohm's law, that the current is directly proportional to the voltage. It means that if the battery is replaced by a battery that provides a larger voltage, the current through the circuit will be more than 0.5 A i.e. it increases.

The current via the circuit will be more than 0.5 A i.e. it increases.

Since

Resistance, R = 20 ohms

The voltage of the battery, V = 10 V

Now we applied the above law i.e.

V = IR

I = V/R

I = 10/20

I = 0.5 A

Based on the above calculations, we can say that the current should be directly proportional to the voltage. That means in the case when the battery should be replaced by the battery that gives the larger voltage so the current should be more than 0.5 A due to this it increased.

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Answer:

A.

Ok, suppose an experiment where you have a lot of dependent variables.

something like the variables y, z and k that change when you change the variable x.

Now, as you play with the variable x, you will notice changes in the variables z, y and k.

But there is now a question (a lot actually)

if the change in k was actually caused by the change in z?

Then you need to try to find a way of changing the value of z for a fixed value of x (designing an experiment) and see how k reacts.

This may be really hard, so as few responding variables you have, the simpler is the experiment, and easier will be to collect good data.

Now we also could discard the other options:

B: If the procedure is complex, then there are more ways in which the scientist can make a mistake that will introduce error to the data, so this will not improve the quality.

C: A larger sample will allow you to have more precision, as more subjects are being observed.

D: When we manipulate one variable, we may be actually introducing some quantity of error to the data.

For example, if the quantity is the voltage for an experiment, we actually do not know the exact voltage tath comes from the source, so there is a small source of error. Now as we start adding more and more independent variables, we also are adding more of these sources of errors, so an experiment with several independent variables will not improve the quality of the results.

Answer:

Explanation:

A vector is any substance that has both magnitude and direction. lndeed a vector quantity has both magnitude and direction. Example of a vector quantity is velocity. Determining the velocity of an object allows one to determine how fast and in what direction the object moves. Velocity also affords the opportunity to compare the motion of more than one vectors.

Answer:

2144.7

Explanation:

Answer:

it can be cross pollinated as well as self pollinated

it has short life style

pea plant has many contrasting character in pair example tall, short.

large number of offspring are produced from hybrid plants

Answer:

  f = 96.56 Hz

Explanation:

A soda bottle can be simulated by a system of a tube with one end open and the other closed. In this case at the closed end we have a node and at the open end a maximum, so the wavelength is

        λ = 4L / n

where n = 1, 3, 5, ...

for our case the speed of sound is

       v = λ f

we substitute

       f / v = 4L / n

calculate

      290 / (340 4) = L / n

       0.213 = L / n

In the exercise the value of n is not indicated, but we can assume that it is the fundamental answer, therefore n = 1

        L = 0.213 m

now we can calculate the frequency of the following resonance n = 3

           f = 4L v / n

           f = 4 0.213 340/3

           f = 96.56 Hz

Answer:

Specific gravity is 0.56

Explanation:

We know that

mass of water displaced by the wood is, m1( apparent mass when wood in air and lead is submerged in water) - m2(the apparent mass when wood and lead both are submerged in water)

= 0.0765 - 0.0452 = 0.0313 Kg

So the specific gravity of the wood is, = mass of wood / mass of water displaced by the wood

= 0.0175/0.0313

=0.56

Answer:

The value is [tex]V =168.75\ millivolt [/tex]

Explanation:

From the question we are told that

The workdone is [tex]W= 2.70 * 10^{-20 } \ J[/tex]

Generally charge on the positive sodium ion is equivalent to the charge on a proton, the value is [tex]e = 1.60 *10^{-19} \ C[/tex]

Generally the potential difference between the inner and outer surfaces of the cell is mathematically represented as

[tex]V = \frac{W}{e}[/tex]

=>      [tex]V  =  \frac{2.70 * 10^{-20 } }{1.60 *10^{-19} }[/tex]

=>     [tex]V  = 0.16875 \  V[/tex]

converting to millivolt

         [tex]V  = 0.16875 * 1000 [/tex]

    =>   [tex]V  =168.75\ millivolt [/tex]