Calculate the ideal mechanical advantage of a pair of scissors where the length of the blade is 5 cm and the length of the handle is 2.5 cm.

Answer:

a) [tex] v_{0y} = 9.72 m/s [/tex]

b) [tex] v_{0x} = 20.85 m/s [/tex]

c) [tex] t = 2.01 s [/tex]

d) [tex] h_{max} = 4.82 m [/tex]

Explanation:

a) The initial vertical velocity is given by:

[tex] v_{0y} = v*sin(\theta) [/tex]

Where:

θ: 25°

v: is the magnitude of the speed = 23 m/s

[tex] v_{0y} = 23 m/s*sin(25) = 9.72 m/s [/tex]

b) The initial horizontal velocity can be calculated as follows:

[tex] v_{0x} = v*cos(\theta) = 23 m/s*cos(25) = 20.85 m/s [/tex]

c) The flight time can be calculated using the following equation:

[tex] v_{0x} = \frac{x}{t} [/tex]

Where:

x: is the total distance = 42 m

[tex] t = \frac{x}{v_{0x}} = \frac{42 m}{20.85 m/s} = 2.01 s [/tex]

d) The maximum height is given by:

[tex] v_{fy}^{2} = v_{0y}^{2} - 2gh_{max} [/tex]

Where:

[tex] v_{fy}[/tex]: is the final vertical velocity =0 (at the maximum heigth)

g: is the gravity = 9.81 m/s²

[tex]h_{max} = \frac{v_{0y}^{2}}{2g} = \frac{(9.72 m/s)^{2}}{2*9.81 m/s^{2}} = 4.82 m[/tex]

I hope it helps you!                                  

Answer:

[tex]L=1.07\ \mu H[/tex]

Explanation:

Given that,

No of turns in a coiled telephone cord is 65

The diameter of the coil, d = 1.3 cm = 0.013 m

Radius, r = 0.0065 m

Unstretched length of the coil, l = 65.5 cm = 0.655 m

We need to find the inductance of one conductor in the unstretched cord. The formula for the inductance is given by :

[tex]L=\dfrac{\mu_oN^2 A}{l}\\\\L=\dfrac{4\pi \times 10^{-7}\times (65)^2\times \pi (0.0065)^2}{0.655 }\\\\L=1.07\times 10^{-6}\ H\\\\L=1.07\ \mu H[/tex]

So, the inductance of one conductor in the unstretched cord is [tex]1.07\ \mu H[/tex].

Answer:

The final kinetic energy of the two-car system is 60,000 J.

Explanation:

Given;

mass of the car, m = 1200 kg

time of motion, t = 8.8 s

final velocity of the car, v = 10 m/s

Apply the principle of conservation of kinetic energy; the initial kinetic energy is equal final kinetic energy.

[tex]K.E_i = K.E_f\\\\K.E_f = \frac{1}{2}mv^2\\\\K.E_f = \frac{1}{2}(1200)(10)^2\\\\K.E_f = 60,000 \ J[/tex]

Therefore, the final kinetic energy of the two-car system is 60,000 J.

d

Explanation:

because they made contact that means their new force will be the same

The resulting charge on sphere Y =  ( A )  +5 με

Given that the spheres are hollow, uncharged and identical the charge on each of the sphere would be equal to each other.

Sphere Z having a positive charge of +40 C and in contact with other spheres ( w , x and y ), the charge on sphere z will be evenly distributed amongst the spheres. therefore the resulting charge on sphere Y will be +5με

Hence we can conclude that the resulting charge on sphere y is +5 με

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Answer:

Explanation:

The velocity of the car can be found by using the formula

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

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{50}{2} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

g = 9.8 [m/s²]

Explanation:

To solve this problem we must remember that the potential energy is defined as the product of mass by gravitational acceleration by the height or elevation with respect to a reference level.

Ep = m*g*h

where:

Ep = potential energy = 235.2 [J]

m = mass of the book = 6 [kg]

g = gravity acceleration [m/s²]

h = elevation = 4 [m]

Now replacing these values:

235.2 = 6*g*4

g = 235.2/(24)

g = 9.8 [m/s²]

Answer:

1. No, it is a colloid

2. Yes

Explanation:

Answer:

I believe It's true. Since from memory I KNOW a compound is formed when elements are combined chemically.

Answer: correct

Explanation: a compound is 2 or more elements formed to make a completely new thing. For example, water is a compound. Why? Well, water is h20. What is h20? It’s Hydrogen and Oxygen. Oxygen is also a compound. Another example is CO2 (carbon dioxide) it’s made of carbon and oxygen, so it’s a compound! A element is just a pure substance. It’s not made up of other materials. It’s in its purest form.

Answer:

Explanation:

Given parameters:

Distance covered  = 16m

Time  = 6s

Initial velocity  = 0m/s

Unknown:

Magnitude of the acceleration of the runner = ?

Solution:

To solve this problem, we have to apply the right motion equation which is given below;

     S  = ut + [tex]\frac{1}{2}[/tex]  at²  

S is the distance

u is the initial velocity

t is the time taken

a is the acceleration

 Now, insert the parameters and solve for acceleration;

      16  = (0 x 6) + [tex]\frac{1}{2}[/tex] x a x 6²

     16  = 18a

     a  = [tex]\frac{16}{18}[/tex]   = 0.89m/s²

Answer:

christian

Explanation:

Answer:

Factories contribute to air and water pollution.

Explanation:

Answer:

Southeast

Explanation:

We have to put into cognisance that the first hockey puck is moving in the eastern direction in the first instance, before it hits the other stationary hockey puck. And as such, on hitting the second puck, it's displacement is expected to differ, as a result of the collision. While the stationary puck will the move in the Eastern direction, it changes the direction of the first puck, from eastern to southeastern

Answer:

(a) 441 W (b) 0.59 hP

Explanation:

Given that,

Mass of a woman, m = 60 kg

Height of a staircase, h = 15 m

Time, t = 20 s

(a) We need to find the power she expend. Work done per unit time is called power. It is given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{60\times 9.8\times 15}{20}\\\\P=441\ W[/tex]

( b) Since, 1 hP = 745.7 W

P = 0.59 hP

V = at + V0

where v0 is the initial speed, a is the acceleration and t is the time.

So:

v = 5m/s^2*5s + 25m/s = 50 m/s

Answer:

A. An electromagnetic wave

Explanation:

A P E X

Answer:

The first method, known as the wobble method, looks for changes in a star's relative velocity caused by the gravitational tug of a nearby planet. ... If a planet's orbit crosses between its parent star and Earth, it will block some of the light and cause the star to dim.

Explanation:

We all know that the chains of gravity shackle a planet to its star. That star's enormous gravitational influence keeps its planetary family in orbit. But gravity works both ways: as the planets sweep around in their orbits, they tug on their parent stars to and fro, causing those stars to wobble

Answer:

The way it’s orbiting

Explanation:

The function of the geosphere is to serve as the interface between the other spheres, so option D is correct.

Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole.  

Different mass and/or energy flows can be exchanged between the various geosphere collectives (the measurable amount of change). The balance of the various geosphere spheres is impacted by the exchange of these fluxes. As an illustration, consider how the soil functions as both a source of flux exchange and as a component of the biosphere.

Since the start of space travel, it has been noted that the ionosphere's or plasmasphere's size is highly changeable, frequently greater than previously thought, and occasionally even reaches the magnetosphere's outer limits.

The term "geopause" (or "magnetopause") refers to this wildly fluctuating outer limit of geogenic matter and conveys the relative dearth of such matter beyond it, where the solar wind predominates.

Therefore, serving as the interface between the other spheres is a function of the geosphere.

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Serving as the interface between the other spheres. Therefore option D is correct.

The geosphere refers to the solid Earth, including the rocks, minerals, and landforms that make up the planet's surface. It plays a crucial role in the Earth's system and interacts with other spheres, such as the atmosphere, hydrosphere, and biosphere.

Serving as the interface between the other spheres: This is the correct function of the geosphere. It acts as the solid Earth, providing a foundation and interacting with the other spheres.

For example, the geosphere influences the movement of water (hydrosphere) through processes like infiltration and groundwater flow. It also influences atmospheric processes through land-sea interactions, affecting wind patterns and climate in certain regions.

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Answer:

Convection

Explanation:

Convection is heat transfer due to a density differential within a fluid. As water's temperature increases in the presence of a heat source, it will become less dense and rise. As it moves up and away from the heat source, it cools and becomes more dense and sinks.

Answer:

Since the person above didn't answer correctly I will, the correct option is (D) this is because the picture shown is of a weather balloon and the purpose of this device is to predict weather and its conditions

Hope this helped! (: Have a nice day

Answer: To predict extreme weather conditions

A radiosonde is a small tool that is put under a balloon filled with either hydrogen or helium. As the radiosonde goes up it measures pressure, temperature, and relative humidity.

Answer:

(4,5) and (8,10) what is the slope

Explanation:

After school, a student rides his bike back home. The student lives 750 meters from the school. If it takes the student 3 minutes to get home, what is his average speed?

Answer: the answer i for c is yes 0& 10

Explanation:

Answer:

A terrestrial planet, telluric planet, or rocky planet is a planet that is composed primarily of silicate rocks or metals. Within the Solar System, the terrestrial planets are the inner planets closest to the Sun

Answer:

48m

Explanation:

Given the following data;

Initial velocity = 0m/s

Final velocity = 6m/s

Time, t = 6 secs

Time, T2 = 5 secs

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Substituting into the equation;

[tex]a = \frac{6 - 0}{6}[/tex]

[tex]a = \frac{6}{6}[/tex]

Acceleration, a = 1m/s²

To find the distance covered in the first phase;

Solving for distance, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Substituting the values into the equation;

[tex] S = 0(6) + \frac {1}{2}*1*(6)^{2}[/tex]

[tex] S = 0 + \frac {1}{2}*1*36[/tex]

[tex] S = 0.5 *36[/tex]

Distance, S1 = 18m

For the second phase, time T2 = 5 secs;

Mathematically, speed is given by the equation;

[tex]Speed = \frac{distance}{time}[/tex]

Making distance the subject of formula, we have;

[tex]Distance, S = speed * time[/tex]

Substituting into the above equation;

[tex]Distance, S = 6 * 5[/tex]

Distance, S2 = 30m

Total distance = S1 + S2 = 18m + 30m = 48m

Total distance = 48m

Therefore, the total distance traveled by the biker is 48m.

This is the formula you need to memorize:  

D = 1/2 · a · T²

Distance = (1/2) · (acceleration) · (Time²)

This formula tells the distance an object falls in any amount of time.

This question tells you the distance (58m), and you know the acceleration (gravity, 9.8 m/s²), so you can use this formula to find the time.

Distance = (1/2) · (acceleration) · (Time²)

58m  =  (1/2) · (9.8 m/s²) · (Time²)

Divide each side by (4.9 m/s²) :  Time²  =  (58/4.9) seconds²

Take the square root of each side:  Time = 3.44 seconds  

Answer:

season, axis

Explanation:

The earth's axis is responsible for the changing seasons

Complete question is;

What is the differential equation governing the growth of current in the circuit as a function of time after t = 0? express the right - hand side of the differential equation for di(t)/dt in terms of i(t), v_b, r, and l?

Answer:

v_b = ir + L(di/dt)

Explanation:

I've attached the image of the circuit talked about in this question.

From the attached image, we can see that this circuit is an R-L circuit.

Since we want a differential equation for di(t)/dt that contains i(t), v_b, r, and L, we can start by finding v_b in R-L circuit which is;

v_b = v_r + v_i

where;

v_b is the voltage source.

v_r is the voltage across the resistance

v_i is the voltage across the inductance

Now, the voltage across the inductance could also be expressed as;

v_i = L(di/dt)

where;

L is the circuit inductance

Also, the voltage across the resistance could be as expressed as;

v_r = ir

Where;

r is the resistance

i is the current

Thus;

v_b = ir + L(di/dt)

Answer:

It is Nice A since it's temp increases slower

Explanation:

hope this helped

Answer:

C. 0.1

Explanation: