Which statement best defines inertia? An object's motion is unaffected by any external forces acting upon it. An object responds to a force by tending to move in the direction of that force. An object opposes any motion, naturally returning to a state of rest on its own. An object opposes any change in its velocity, either to its direction or to its speed.

Answer:

The correct statement must be: both balls hit the floor at the same time

Explanation:

This is a kinematics exercise. The ball thrown horizontally does not have vertical speed and the ball that is released does not have vertical speed, therefore both take the same time to reach the ground, if we neglect the air resistance

The correct statement must be: both balls hit the floor at the same time

Answer:

14.7 m

Explanation:

It would fall 14.7 m in 3 s . You multiply 4.9 by 3.

Answer:

a

[tex]N_e  =  906 \  electrons[/tex]

b

[tex]M =  9.43 *10^{-25} \  kg[/tex]

Explanation:

From the question we are told that

   The total number of particles is  n =  1470 particles

    The  the total amount of charge on the particles is  [tex]Q =  - 5.456*10^{-17} \  C[/tex]

Generally this total number of particles can be mathematically represented as

      [tex]n  =  N_p + N_e[/tex]

Where  [tex]N_p \  and  \  N_e[/tex] represent the number of proton and electron respectively

=>    [tex]N_p  =  1470  -  N_e[/tex]

Also the total charge of these particles can be mathematically represented as

       [tex]Q = (N_p  - N_e ) e[/tex]

Here e is the charge on a single electron or proton with value  

The  negative sign is due to the fact the electrons are negative signed

     [tex]e =  1.60 *10^{-19} \  C[/tex]

[tex]-5.456*10^{-17} = ( 1470 -2N_e )* 1.60 *10^{-19}  [/tex]

    [tex]N_e = 906[/tex]

Thus  

      [tex]N_p  =  1470 - 906[/tex]

      [tex]N_p  =  564[/tex]

Generally the mass of the system is mathematically represented as

     [tex]M  =  N_e  * M_e  +  N_p  *  M_p[/tex]

Here  [tex]M_e  \  and  \  M_p  \  are  \  mass  \  of  \  electron \  and \  proton \  with \  values \\   M_e = 9.1 *10^{-31} \  kg \  and  \  M_p  =  1.67 *10^{-27} \  kg  \ respectively[/tex]

So

     [tex]M  =  906 *  9.1 *10^{-31}  +  564  *  1.67 *10^{-27}[/tex]

      [tex]M =  9.43 *10^{-25} \  kg[/tex]

Answer: 125

Explanation: use the equation d=vt to find the first distance, 50. Then use the equation

X=Vot + 1/2at to find the second distance. Then add both together.

Vo=5

V=5

T=10

A=5

Answer:

a) 1.19 x 10^7 N/C

b) 2 x 10^-12 N

Explanation:

field due to Cl on (9.0xE¡)(1.6x10-19 C) (1.5Å—10-9m) -6.4x10 N/C field due to Ca+3 ion, 2(90x10 (1.6x10-19c) ((4.5-1.5)Å—10-9 m)' magnitude of net field at given point without dielectric E E+E 6.4x108 +3.2x108-9.6x10 N/C magnitude of net field at given point with di electric K 80.4 the force on sodium ion at this point, F-Edq= (1.19å—107 N/C)(1.6å—10-19C)= 2.0Å—10-12 N

Answer:

Step-by-step explanation:

1. Find acceleration:

2. Find distance traveled:

3. Find work done by friction:

Answer:

B is correct. Electrons are added to the rod.

Explanation:

Because the fur lose electrons to the rode and because positively charged while the rod because negative

Answer:

A. Known variables include

Wavelength = 600nm

Theta= 65°

m= 2

B.

d= m x wavelength / sin theta

= 2 * 600*10^-9 /sin 65°

= 1.3*10^-6m

C.

N = 1/d

So N = 1/1.3*10^-6m

=76.9 lines per micro meter

Answer:

Explanation:

T = 2π √l/g

The dimension for l = m

The dimension for g = m/s²

The dimension for 2π is nothing. Since it's a constant, it is dimensionless.

Now we proceed ahead. Since we are not using the 2π, for the sake of this proving, our formula will temporarily be written as

T = √l/g

Inputting the dimensions, we have

T = √(m) / (m/s²)

T = √(m * s²/m)

T = √s²

T = s

Since the unit of period itself is in s, we can adjudge that the equation is dimensionally constant.

Answer:

21

Explanation:

I think its 21 because its 21

Answer:

Explanation:

We may notice that change in velocity can be obtained by calculating areas between acceleration lines and horizontal axis ("Time"). Mathematically, we know that:

[tex]v_{b}-v_{a} = \int\limits^{t_{b}}_{t_{a}} {a(t)} \, dt[/tex]

[tex]v_{b} = v_{a}+ \int\limits^{t_{b}}_{t_{a}} {a(t)} \, dt[/tex]

Where:

[tex]v_{a}[/tex], [tex]v_{b}[/tex] - Initial and final velocities, measured in meters per second.

[tex]t_{a}[/tex], [tex]t_{b}[/tex] - Initial and final times, measured in seconds.

[tex]a(t)[/tex] - Acceleration, measured in meters per square second.

Acceleration is the slope of velocity, as we know that each line is an horizontal one, then, velocity curves are lines with slopes different of zero. There are three region where velocities should be found:

Region I (t = 0 s to t = 4 s)

[tex]v_{4} = 2\,\frac{m}{s} +\int\limits^{4\,s}_{0\,s} {\left(-2\,\frac{m}{s^{2}} \right)} \, dt[/tex]

[tex]v_{4} = 2\,\frac{m}{s}+\left(-2\,\frac{m}{s^{2}} \right) \cdot (4\,s-0\,s)[/tex]

[tex]v_{4} = -6\,\frac{m}{s}[/tex]

Region II (t = 4 s to t = 6 s)

[tex]v_{6} = -6\,\frac{m}{s} +\int\limits^{6\,s}_{4\,s} {\left(1\,\frac{m}{s^{2}} \right)} \, dt[/tex]

[tex]v_{6} = -6\,\frac{m}{s}+\left(1\,\frac{m}{s^{2}} \right) \cdot (6\,s-4\,s)[/tex]

[tex]v_{6} = -4\,\frac{m}{s}[/tex]

Region III (t = 6 s to t = 10 s)

[tex]v_{10} = -4\,\frac{m}{s} +\int\limits^{10\,s}_{6\,s} {\left(2\,\frac{m}{s^{2}} \right)} \, dt[/tex]

[tex]v_{10} = -4\,\frac{m}{s}+\left(2\,\frac{m}{s^{2}} \right) \cdot (10\,s-6\,s)[/tex]

[tex]v_{10} = 4\,\frac{m}{s}[/tex]

Finally, we draw the object's velocity graph as follows. Graphic is attached below.

The velocity of a body under constant acceleration increases steadily with time

Please find attached the required velocity graph for values of t that are separated by Δt = 2s

The reasons the attached graph is correct are given as follows:

The initial velocity of the object at t = 0 is v = 2.0 m/s

The first point on the graph is (0, 2.0)

The acceleration from t = 0, to t = 4, a₁ = -2 m/s²

The velocity at t = 4 s, v₂ = 2.0 + (-2)×4 = -6

Therefore, the next point on the graph is (4, -6)

From t = 4 to t = 6, the acceleration, a₂ = 1 m/s²

Therefore, v₃ = -6 + 1 × 2 = -4

The third point on the velocity graph is (6, -4)

From t = 6 s to t = 10 s, we have, the acceleration, a₃ = 2 m/s²

The velocity, v₄ = -4 + 4 × 2 = 4

Therefore, the fourth point on the velocity graph is (10, 4)

With the above points, the velocity graph can be plotted using MS Excel

Learn more about plotting velocity time graph, here:

https://brainly.com/question/4710544

Answer:

No there won't be.

Explanation:

An insulator does not conduct electricity readily. An insulator that is charged at one end will have the charges remain at that end, since it does not allow the free flow of charges through it. If you touch the other end of the insulator that is void of electric charges, there would be no charge transfer between you and the insulator, and hence no electric shock.

Answer:Newton’s law also states that larger bodies with heavier masses exert more gravitational pull, which is why those who walked on the much smaller moon experienced a sense of weightlessness, as it had a smaller gravitational pull. To help explain his theories of gravity and motion, Newton helped create a new, specialized form of mathematics.

Explanation:I'm very stupid so I don't think this is the right answer

Answer:

The height of the building is 60 m.

Explanation:

Given;

mass of the mass of the ball, m = 3 kg

time of motion, t = 3.5 s

The velocity of the ball is given by;

v = u + gt

where;

u is the initial velocity of the ball = 0

v = 0 + 9.8 x 3.5

v = 34.3 m/s

When the ball hits the ground, energy is conserved;

mgh = ¹/₂mv²

gh = ¹/₂v²

h = (0.5 v²) / g

h = (0.5 x 34.3²) / (9.8)

h = 60.025 m

h = 60 m

Therefore, the height of the building is 60 m.

The height of the building is 60 m.

The velocity of the ball should be provided by

v = u + gt

here,

u is the initial velocity of the ball = 0

v = 0 + 9.8 x 3.5

v = 34.3 m/s

Now

When the ball hits the ground, energy is conserved;

mgh = ¹/₂mv²

gh = ¹/₂v²

h = (0.5 v²) / g

h = (0.5 x 34.3²) / (9.8)

h = 60.025 m

h = 60 m

Learn more about friction here: https://brainly.com/question/14455351

Answer:

Explanation:

a(t)= -2.00 m/s^2 + (3 m/s^3)t.

dv / dt =  -2.00 m/s^2 + (3 m/s^3)t.

dv = (-2.00 m/s^2 + (3 m/s^3)t.)dt

v  = - 2t + 3 t² / 2 + c , where c is a constant

for initial velocity t = 0

v0 = c

v  = - 2t + 3 t² / 2 + v0

ds / dt =  - 2t + 3 t² / 2 + v0

ds =  (- 2t + 3 t² / 2 + v0)dt

s = - 2t²/2 + 3 t³/6 + vot + c₁

At t = 0

s = c₁

At t = 4

s = -16 + 32 + 4v0 + c₁

=  4v0 + c₁ + 16

Given

4v0 + c₁ + 16  = c₁

v0 = - 4 m /s

Putting this value in the equation of velocity

v  = - 2t + 3 t² / 2 - 4

At t = 4

v = -8 + 24 - 4

= 12 m / s

Answer:

√82/9 m/s

Explanation:

Let's say x²+1²= y²(y length of rope)

Using Pythagoras

With repect to t diff.

So 2x dx / dt= 2y dy / dt

But dy/ dt = 1.4m/s

X = 9 so from Pythagoras y = √82

So 9dx/dt = √82

So the boat will approved de dock at √82/9 m/s

Answer:

C.

Explanation:

The element that is most likely to be shiny is calcium. The correct option is 3.

Calcium (Ca) is the most likely to be sparkly of the elements shown. Calcium is a metallic element with a glossy or shining look when newly cut or polished.

It belongs to the alkaline earth metals group, which have metallic characteristics and a distinctive lustre.

Sulphur (S), boron (B), and carbon (C), on the other hand, are non-metallic elements with a dull look.

They come in a variety of forms, including powders, crystals, and amorphous solids, although they are not noted for their metallic lustre.

Thus, the answer is 3. calcium.

For more details regarding calcium, visit:

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#SPJ7

Your question seems incomplete, the probable complete question is:

Which element is most likely to be shiny?

Answer:

1.4 m/s

Explanation:

From the question given above, we obtained the following data:

Initial Displacement (d1) = 0.9 m

Final Displacement (d2) = 1.6 m

Initial time (t1) = 1.5 secs

Final time (t2) = 2 secs

Velocity (v) =..?

The velocity of an object can be defined as the rate of change of the displacement of the object with time. Mathematically, it can be expressed as follow:

Velocity = change of displacement /time

v = Δd / Δt

Thus, with the above formula, we can obtain the velocity of the car as follow:

Initial Displacement (d1) = 0.9 m

Final Displacement (d2) = 1.6 m

Change in displacement (Δd) = d2 – d1 = 1.6 – 0.9

= 0.7 m

Initial time (t1) = 1.5 secs

Final time (t2) = 2 secs

Change in time (Δt) = t2 – t1

= 2 – 1.5

= 0.5 s

Velocity (v) =..?

v = Δd / Δt

v = 0.7/0.5

v = 1.4 m/s

Therefore, the velocity of the car is 1.4 m/s

Answer:

Option (A)

Explanation:

From the picture attached,

Given : Vector A with magnitude 12 m.

To Find : Components of vector A.

There are two components of any vector.

1). Horizontal component

2). Vertical component

If vector A represents the velocity, horizontal component of a vector decides the horizontal motion and vertical component decides the vertical motion.

To find these components we draw a right triangle OBA as shown in the figure,

From ΔOBA,

Sin(37)° = [tex]\frac{\text{AB}}{\text{OA}}[/tex]

             = [tex]\frac{{A_x}}{{A}}[/tex]

[tex]A_x=A\text{Sin}(37)[/tex]

     = 12Sin(37)°

     = 7.22 m

[tex]A_y=A\text{Cos}(37)[/tex]

     = 12Cos(37)°

     = 9.58 m

Therefore, Option (1) is the correct option.

Answer:

Explanation:

a) the speed increment of the hammer as it drops past the first window, is greater than that of the speed of the hammer as it drops past the second window. This can also be translated as saying that the hammer spent more time at the second window.

b) III

The best answer would be answer III, The hammer spends more time dropping past window 1, which I had already included in my explanation in (a) above.

Answer:

100%

Explanation:

The accuracy level can be measured by the percent of error which is defined as the average accepted 100%.

Accuracy is related to the proximity of the measurement. It is called the true value of the accuracy where as the precision is referred to the ability at the same time to be reproduced in measurement .

The instrument should be proper and produce the reliable and accurate measurement tools.

Thus here the statistical quantity that is used by the to indicate the accuracy level is purely 100%.

Answer:

-5%

Explanation:

We know that volume is mass/density

So to find percentage

Let first mass be = M1

Second be 0.94m( 1-6%)

Second density be=0.99

First density be d

So finlq volume v2= 0.94m/0.99p=

V2= (0.94/0.99)V1

V2= 0.95v1

So volume decrease will be 1-0.95= 0.05

= -5%

Answer:

a

[tex]I  =  6637 \  W/m^2[/tex]

b

[tex]E_{max} =  500 \ N/m[/tex]

And

[tex]B_{max} =  1.67*10^{-6} \  T[/tex]

Explanation:

From the question we are told that  

   The  power is  [tex]P =  75 \  W[/tex]

   The  diameter is  [tex]d =  6.0 \ cm =  0.06 \  m [/tex]

Generally the radius is mathematically represented as

      [tex]r =  \frac{d}{2}[/tex]

=>   [tex]r =  \frac{ 0.06}{2}[/tex]

=>   [tex]r =  0.03 \  m[/tex]

Generally the area of the sphere is mathematically evaluated as

          [tex]A = 4 \pi r^2[/tex]

=>      [tex]A = 4 * 3.142 *  (0.03)^2[/tex]

=>       [tex]A =  0.0113 \ m^2[/tex]

Generally the total  Intensity of the  incandescent light bulb is mathematically represented as

     [tex]I= \frac{P}{A}[/tex]

=>    [tex]I  =  \frac{75}{ 0.0113}[/tex]

=>   [tex]I  =  6637 \  W/m^2[/tex]

Given that 5%  of the energy goes to visible  light

Then the intensity that goes visible light is  

    [tex]I_v  =  0.05 * 6637[/tex]

    [tex]I_v  =  332 \ W/m^2[/tex]

The amplitude of the electric field at the surface is mathematically represented as

      [tex]E_{max} =  \sqrt{\frac{2 * I_v}{\epsilon_o *  c } }[/tex]

=>   [tex]E_{max} =  \sqrt{\frac{2 * 332}{ 8.85*10^{-12} *  3.0*10^8} }[/tex]

=>     [tex]E_{max} =  500 \ N/m[/tex]

The amplitude of the magnetic  field at the surface is mathematically represented as

     [tex]B_{max} =  \frac{E_{max}}{c}[/tex]

=>     [tex]B_{max} =  \frac{ 500}{3.0*10^8}[/tex]

=>   [tex]B_{max} =  1.67*10^{-6} \  T[/tex]

Answer:

Explanation:

Males measuring;

161 - 165 = 2

166 - 170 = 1

171 - 175 = 7

176 - 180 = 1

181 - 185 = 6

186 - 190 = 3

Males taller than 175 cm = 1 + 6 + 3 = 10

Total number of Males = 2 + 1 + 7 + 1 + 6 + 3  = 20

Percentage of total over 175 cm

= 10 / 20

= 50%

➝ Density of block = 10.5 g/cm³

➝ Volume of block = 30 cm³

We have to find mass of block[tex].[/tex]

➠ Density is defined as mass of substance per unit volume[tex].[/tex]

[tex]\dag\:\boxed{\bf{Density=\dfrac{Mass}{Volume}}}[/tex]

[tex]:\implies\sf\:Mass=Density\times Volume[/tex]

[tex]:\implies\sf\:Mass=10.5\times 30[/tex]

[tex]:\implies\boxed{\boxed{\bf{\red{Mass=315\:g}}}}[/tex]

Answer:

Serotonin

___________

Explanation:

Given that,

Initial speed, u = 0

Final speed, v = 8.9 m/s

Time, t = 9.5 s

Let a is the acceleration of the snowboarder. It can be calculated as follows :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{8.9-0}{9.5}\\\\a=0.936\ m/s^2[/tex]

The distance traveled by the snowboarder in this time is calculated using third equation of motion as follows :

[tex]v^2=u^2=2as\\\\s=\dfrac{v^2}{2a}\\\\s=\dfrac{(8.9)^2}{2\times 0.936}\\\\s=42.31\ m[/tex]

So, 42.31 m of distance is traveled by snowboarder in this time.

The rock's altitude y at time t, thrown with initial velocity v, is given by

[tex]y=74\,\mathrm m+vt-\dfrac12gt^2[/tex]

where [tex]g=9.80\frac{\rm m}{\mathrm s^2}[/tex] is the acceleration due to gravity.

After t = 2.7 s, the rock reaches the water (0 altitude), so

[tex]0=74\,\mathrm m+v(2.7\,\mathrm s)-\dfrac12g(2.7\,\mathrm s)^2[/tex]

[tex]\implies v=-\dfrac{74\,\mathrm m-\frac g2(2.7\,\mathrm s)^2}{2.7\,\mathrm s}\approx-14.177\dfrac{\rm m}{\rm s}[/tex]

so the rock was thrown with a velocity with magnitude 14 m/s and downward direction.

Its velocity at time t is [tex]v-gt[/tex] (with no horizontal component), so that at the moment it hits the water, its velocity is

[tex]v-g(2.7\,\mathrm s)\approx-40.637\dfrac{\rm m}{\rm s}[/tex]

That is, its final velocity has an approximate magnitude of 41 m/s, also directed downward.

Answer:

722.89

Explanation:

mass=24000kg

volume=33•2

density=?

now,

density=mass/volume

=24000/33•2

=722•89

density=722•89 kg/m^3

GalileoGalilei is known as the father of science