5. a) A boy used a catapult to pluck a mango from a tree. State two forces involved in this activity?​

Answer:

V₂ = -22 V

Explanation:

Electric potential and field are related

         ΔV = - E d

where ΔV is the potential difference between the plates, E the electric field and d the separation between the plates

In this exercise we are given the parcionero d = 4 mm = 0.004 m, the potential of one of the plates V1 = -6V and the value of the electric field E = 4000 V / m

          V₂- V₁ = - E d

          V₂ = - Ed + V₁

          V₂ = - 4000 0.004 + (- 6)

          V₂ = -16 - 6

          V₂ = -22 V

Answer:

The answer is going to be ZERO

Explanation:

Let's find relationship

Apply Newton's second law

[tex]\\ \rm\Rrightarrow F=ma[/tex]

[tex]\\ \rm\Rrightarrow Force\propto mass[/tex]

The graph will be a straight line passing through origin so y intercept is 0

Sir Isaac Newton was an English Mathematician,physicist,astronomer,theologian and author who is widely recognized as one of the most influential scientist of all time because of his discovery of gravity(force that attracts a body toward center of earth).

Answer:

The human retina can only detect incident light that falls in waves 400 to 720 nanometers long, so we can't see microwave or ultraviolet wavelengths. This also applies to infrared lights which has wavelengths longer than visible and shorter than microwaves, thus being invisible to the human eye.

Explanation:

Constant speed means that the object is covering equal distance in equal interval of time. The motion is called uniform motion for such case. In this problem, it is given that an object is moving with a constant speed of 8 m/s. It means that it does not change its speed. It is moving with a single speed constantly.

We can say that it moves 8 meters every second or 800 cm every second.

Explanation:

First, convert terameters to meters.

234 Tm × (10¹² m / Tm) = 234×10¹² m

Now convert meters to nanometers.

234×10¹² m × (10⁹ nm / m) = 234×10²¹ nm

In scientific notation, that's 2.34×10²³ nm.

Answer:

12.8 J

Explanation:

Kinetic Energy: This can be defined as the energy posses by a body due to its motion. The S.I unit of kinetic energy is Joules(J)

From the question,

Ek = (1/2)mv²........................... Equation 1

Where m = mass of the bird, v = speed of the bird.

Given: m = 0.40 kg, v = 8.0 m/s.

substitute these values into equation 1 above,

Ek = 1/2(0.4)(8²)

Ek = 0.2(64)

Ek = 12.8 J

Answer:

1) F = 100N

2) a = 2 m/s²

3) m = 25 kg

Explanation:

1) F = ma ( F = ?, m = 10 kg, a = 10 m/s² )

  F = 10×10

  F = 100 N

2) F = ma ( F = 20N, m = 10 kg, a = ? )

   20 = 10×a

   10a = 20

   a = 20/10

   a = 2 m/s²

3)F = ma ( F = 100N, m = ?, a = 4 m/s² )

  100 = m×4

  4m = 100

  m = 100/4

  m = 25 kg

Hope that helps! Good luck!

Answer:

First, the meters is the unit used in almost all the world today.

Then using meters as your unit will be easier to read and interpret for a larger number of people than if you use an older system, like hands or steps.

And because of the fact that almost all the world uses the meter as the unit for length, almost all the equations and formulas are written in meters.

Precision: The meter is exactly defined as:

"The length of the path traveled by light in a vacuum in 1/299,792,458 of a second"

So the meter is an exact (and accepted) unit.

Then using this unit for measures of length also provides some " legitimacy" for you measure.

Answer: 0.145 seconds

Explanation:

Given that Roger Clemens could routinely throw a fastball at a horizontal speed of 119.7 m/s. How long did the ball take to reach home plate 17.3 m away

Since the speed is horizontal

Using the formula for speed which is

Speed = distance/time

Where

Speed = 119.7 m/s

Distance covered = 17.3 m

Time is what we are looking for

Substitute all the parameters into the formula

119.7 = 17.3/ time

Make time the subject of formula

Time = 17.3 / 119.7

Time = 0.145 seconds.

Therefore, it will take 0.145 seconds to reach the home plates

Answer:

-9ms-1

Explanation:

it will be dat because the initially both are moving at different direction,so for momentum to be conserved they had separate leading to the switching of the two initial velocities

Answer:

the answers maybe→↓

Explanation:

high blood pressure.

cigarette smoking.

diabetes.

high blood cholesterol levels.

heavy drinking.

Answer:

5 factors predisposing a person to stroke​:

1). Heart and blood vessel diseases.

2). Family genetics and history.

3). Age.

4). ArterioVenous Malformation (AVM)

5). Overweight and obesity.

Explanation:

Using Second equation of motion (assuming u = 0), we get :

[tex]x = a {t}^{2} [/tex]

[tex]t = \sqrt{ \frac{x}{a} } [/tex]

Therefore, Option (B) is correct.

Answer:

113.85 m

Explanation:

When the car is on the pavement:

v₀ = 0 m/s

a = 5.75 m/s²

t = 4.4 s

Find: Δx and v

Δx = v₀ t + ½ at²

Δx = (0 m/s) (4.4 s) + ½ (5.75 m/s²) (4.4 s)²

Δx = 55.66 m

v = at + v₀

v = (5.75 m/s²) (4.4 s) + 0 m/s

v = 25.3 m/s

When the car is in the mud:

v₀ = 25.3 m/s

v = 0 m/s

a = -5.5 m/s²

Find: Δx

v² = v₀² + 2aΔx

(0 m/s)² = (25.3 m/s)² + 2 (-5.5 m/s²) Δx

Δx = 58.19 m

The total displacement is therefore:

55.66 m + 58.19 m = 113.85 m

Answer:

Explanation:

According to ohm's law, V = IR where;

V is the supply voltage (in volts)

I is the current supplied (in amperes)

R is the resistance (in ohms)

Initially, I = 2A, hence V = 2*R;

V = 2R .................... 1

If the resistance in the circuit decreases to one-fourth of its original amount while the voltage remains constant, then the new resistance will be expressed as R₂ = 1/4 R and V₂ = V

Substituting the new conditions into the ohms law formula, we will have;

V₂ = I₂R₂

I₂ is the resulting new current

V = I₂ (1/4 R)

V = I₂ * R/4

V = I₂R/4 ...... 2

Substituting equation 1 into 2 we will have;

2R = I₂R/4

2 = I₂/4

cross multiply

I₂ = 4*2

I₂ = 8A

Hence the resulting new current is 8A

Answer:

v = 666.67 mph

Explanation:

It is given that,

Distance from New York to California is 3000 miles

Time taken fromNew York to California is 4.5 hours

We need to find the velocity of a plane. Velocity is equal to the distance over time. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{3000\ \text{miles}}{4.5\ \text{hour}}\\\\v=666.67\ \text{mph}[/tex]

So, the velocity of the plane is 666.67 mph.

Answer:

The weight of the body on the other planet would be 200 N

Explanation:

Recall that the acceleration of gravity at sea level on Earth is obtained via the general Gravitational force formula when the distance "d" is the radius of the Earth (R):

[tex]F=m\,g=G\,\frac{m\,\,m_E}{R^2} = m \,(G\,\frac{m_E}{R^2} )[/tex]

We are told that the weight of the object on Earth is 450 N, that is:

[tex]W=m\,g= m \,(G\,\frac{m_E}{R^2} )= 450[/tex]

in this other planet the acceleration of gravity will be different as shown below:

[tex](G\,\frac{m_E\,(1/9)}{(R/2))^2} )=(G\,\frac{m_E\,\,4}{R^2\,\,9} )=\frac{4}{9} (G\,\frac{m_E}{R^2} )[/tex]

so, its gravity is 4/9 that of the Earth, which now we can use to convert its weight (w) on the planet as 4/9 the weight it has on Earth:

[tex]w=m\,g_p=m\,\frac{4}{9} \,g=\frac{4}{9} \,450= 200\,\, N[/tex]

Answer:

  v = (5.2 ± 0.2) 10⁻²   m / s

Explanation:

This is an exercise in kinematics of uniform motion. The formula for the average speed is

          v = x / t

let's calculate

          v = 5.2 / 100

          v = 0.052 m / s

          v = 5.2 10-2 m / s

we have to find the uncertainty of this quantity we propagate the error using derivatives

          Δv = dv /dx   Δx + dv /dt   Δt

taking everything in the most unfavorable case, I mean all positive

let's make the derivatives

          dv / dx = 1 / t

          dv / dt = -x / t²

we substitute

         Δv = 1 /t  Δx + x /t²   Δt

let's calculate the error

        Δv = 1/100 0.1 + 5.2 / 100²  1

        Δv = 1 10⁻³ + 5.2 10⁻⁴

        Δv = 1.52 10⁻³ m/s

the error must be given with a significant figure

         Dv = 2 10⁻³ m / s

the answer is

         v = (5.2 ± 0.2) 10⁻²   m / s

Answer: Hi!

A terrestrial planet is composed of a solid substance like rock or earth. A few examples are our planet, Earth, and the red planet, Mars. These are the planets that are the closest to the sun. There are four terrestrial planets in total. The only known terrestrial planet that has life, however, is our own, Earth! Earth has the perfect conditions for supporting life forms.

Hope this helps!

Answer:

Jupiter

Explanation:

question : Which planet is terrestrial?

Jupiter

Mars

Saturn

Uranus

Incomplete question. However, I provided some information about when a converging or diverging lens is used. The common ones are:

Explanation:

In other to correct eyesight problems certain types of lenses are used depending on the condition.

Diverging lens: If the individual is suffering from nearsightedness (myopia); a condition that prevents a person from seeing distant objects clearly, but is able to see close objects clearly, then a divergent lens may be used to correct his eyesight.

Covergent lens: In a case where the person has a condition that prevents him from seeing close objects clearly while distant objects may be clear is called Farsightedness (hyperopia).

Answer:

C. the area of the rectangle plus the area of the triangle under the line

Explanation:

Based on the information provided, the velocity vs. time graph is a line with a positive slope and a y-intercept of (0, 3).  The displacement is the area under this line.  This area can be divided into a triangle and a rectangle.  So of the options available, C is the correct one.

Answer:

C

Explanation:

There is no explanation for the answer.

Complete question is;

In a women’s 100-m race, accelerating uniformly, Laura takes 2.00 s and Healan 3.00 s to attain their maximum speeds, which they each maintain for the rest of the race. They cross the finish line simultaneously, both setting a world record of 10.4 s.

(a) What is the acceleration of each sprinter?

(b) What are their respective maximum speeds?

(c) Which sprinter is ahead at the 6.00-s mark, and by how much?

(d) What is the maximum distance by which Healan is behind Laura, and at what time does that occur?

Answer:

A) a_laura = 5.319 m/s² and a_healan = 3.745m/s²

B) V_max for laura = 10.638 m/s and V_max for Healan = 11.235 m/s

C) Laura is ahead of healan by 2.632 m

D) Healan is 4.471 m behind Laura

Explanation:

A) The distance traveled by each sprinter with constant acceleration would be gotten from the equation of motion which is;

s = ut + ½at²

Now, since they began at rest, thus, initial velocity(u) = 0 m/s

So, s = 0 + ½at²

s = ½at²

Now, maximum speed achieved by each of them is given by the formula;

v_max = u + at

Since u = 0, then;

v_max = at

Now, we are told that they set a world record of 10.4 s, thus;

Time taken by each to run at their maximum speed = (10.4 - t)

Distance travelled after attaining maximum speed = at + a(10.4 - t)

Thus;

Total distance covered by each sprinter = ½at² + (at)(10.4 - t)

Where;

t = time taken to accelerate to maximum speed

Since total distance covered is 100 m and she took 2 s to accelerate to max speed, then Acceleration for Laura would be calculated from;

100 = ½a(2)² + (2a(10.4 - 2))

This gives;

100 = 2a + 16.8a

18.8a = 100

a = 100/18.8

a_laura = 5.319 m/s²

Similarly, for Healan:

100 = ½a(3²) + (3a(10.4 - 3)

100 = 4.5 a + 22.2a

26.7a = 100

a = 100/26.7

a_healan = 3.745m/s²

B) From earlier we saw that max speed is;

v_max = at

Thus, for laura;

Vmax for laura= 5.319 × 2

V_max for laura = 10.638 m/s

Also, for healan;

Vmax = 3.745 × 3

V_max for Healan = 11.235 m/s

C) to find which sprinter is ahead at 6.00 s,

For Laura:

D = (½(5.319 × 2²)) + (2² × 10.638)

D_laura = 53.19 m

For Helen: D = (½(3.745 × 3²)) + (3 × 11.235) = 50.558 m

Difference = 53.19 - 50.558 = 2.632

Thus, Laura is ahead by 2.632 m

C) We are told that laura achieved max speed in 2 s while healan took 3 s. This means that when Laura had reached her maximum speed Healan was still accelerating. Thus;

From v_max = at

10.638 = (3.745)t

t = 10.638/3.745

t = 2.84 s

Distance travelled during this time is;

For Laura:

D = (½(5.319 × 2²) + (0.84)(10.638) = 19.574 m

Foe Healan:

D = (½(3.745 × 2.84²)) = 15.103 m

Difference = 19.574 - 15.103 = 4.471 m

Thus, Healan is 4.471 m behind laura

Answer:

Direct proportionality

Explanation:

The graph of variables that are directly proportional such as the temperature and volume of a gas has a graph consisting of a diagonal line that from the lower left of the graph to the upper right of the graph

According to Charles law, the volume of a given mass of gas is directly proportional to its temperature in Kelvin at constant pressure

Charles law can be represented mathematically as V ∝ T

From which we have;

V₁/T₁ = V₂/T₂, therefore, the graph of V to T has a constant slope, ΔV/ΔT.

Answer:

junk food, alcohol, soda, microwave food, candy, some sugary drinks

Answer:

[tex]\frac{a}{b}=c[/tex] which agrees with the third answer in your list of answer options

Explanation:

Start with:

[tex]a=b\,*\,c[/tex]

divide both sides by b to isolate c on the right:

[tex]\frac{a}{b} =\frac{b\,*\,c}{b} \\\frac{a}{b} =c[/tex]

Answer:

23 student photos

Explanation:

All you have to do is divide 1,127 by 49. So take the photos and fill each poster board. There will be no photos left! Hope this helps!

Answer:

48

Explanation:

Given that a jogger runs 186 meters westward, then 210 meters eastward, then 156 meters westward, and finally 8A meters eastward.

To calculate the displacement, let assume that the

Westward = positive

Eastward = negative

Displacement = 186 - 210 + 156 - 84

Displacement = 342 - 294

Displacement = 48 m

Since the answer is positive, the direction of the displacement will be westward.

Answer:  O furo diminui enquanto a chapa aumenta a sua dimensão.

(The diameter decreases and the dimensions of the metal increases)

Explanation:

I will answer in English:

Here we have a piece of metal with a small hole on it, that is heated in a hoven.

We know that when a piece of metal is heated, it will expand (the density decreases, so the dimensions of the piece of metal increase).

Now, particularly, the hole will also expand but inwards, as each "extreme" of the piece of metal, will expand into where it has less resistance, so it will expand in the region where there is no material. This "inwards" expansion is why the diameter of the hole will decrease.