7. Solve (3.96 x 10^2)/(1.6 x 10^-8). Be

sure your answer is in scientific notation.

Round to two decimal places.

(1 Point)

Enter your answer

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

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:

7500j

Explanation:

Work :

W = Fd (work = force x distance)

Force :

F = W/d

Distance :

d = W/F

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:

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:

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

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]

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:

The answer is C burning the wood

Answer:

Explanation:

A and B are touched .

charge on each of them after touching = (9q - q) / 2 = 4q

when C is touched with A

charge on A and C each after touching

= 4q + 0 / 2 = 2q

When C is touched with B

charge on each of them

(2q + 4q ) / 2 = 3 q

Final charge on C = 3q

Answer:

✔ A and D

✔ B

✔ C

Explanation: because i said so

Answer:

[See Below]

Explanation:

✦ Formula = [tex]Mass / 1000[/tex]

  ✧ [tex]4800 / 1000 = 4.8[/tex]

So [tex]4800[/tex] grams is equal to [tex]4.8[/tex] kilograms.

~Hope this helps Mate. If you need anything feel free to message me.

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:

[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].

Answer: hey!

i believe your answer is 6.09 times 10^-4

Explanation:

the exponent is negative 4 have a good day

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:

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:

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:

The definition of acceleration is is a vector quantity that is defined as the rate at which an object changes its velocity.

Explanation:

Answer:

DescriptionIn mechanics, acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Explanation:

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:

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.

The density of the substance is its mass divided by volume. Thus, the volume of 1500 g soda with a density of 2.9 g/ml is 517.2 g/ml.

Density of a substance is the measure of its mass per unit volume. The density of a substance depends on its bond type, temperature and pressure as well.

The volume of a substance is the space occupied by its particles. The volume of the substance is the mass divided by density.

Volume is generally expressed in units of liters or milliliters.

Given that, mass of soda = 1500 g

density = 2.9 g/ml

volume = mass/ density

v  =  1500 g/ 2.9  g/ml = 517.2 ml.

Therefore, the volume of soda is 517.2 ml.

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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:

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

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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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:

2144.7

Explanation:

Answer:

the stress in the cable at the time when the truck is stop is 2,344.57  lb/m^2

Explanation:

The computation of the stress in the cable when the truck comes to a stop is shown below:

We used the following formula

[tex]T = mg\times sin\theta\\\\= 4,000 \times sin15^{\circ}[/tex]

= 1,035.28

Now the stress in the cable is

Before calculating it first determined the area which is

[tex]Area = \frac{\pi}{4}\times (\frac{3}{4})^2 \\\\= \frac{9\pi}{64}[/tex]

So, the stress is

[tex]= \frac{T}{area}\\\\ = \frac{1,035.28}{\frac{9\pi}{64} }[/tex]

= 2,344.57  lb/m^2

Hence, the stress in the cable at the time when the truck is stop is 2,344.57  lb/m^2

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.