True or False. Isaac at first resisted his father's command to be the sacrifice.

Answer:

The range of the projectile is 60 m

Explanation:

Horizontal Motion

When an object is thrown horizontally with a speed vo from a height h, it describes a curved path ruled exclusively by gravity until it eventually hits the ground.

The horizontal component of the velocity is always constant because no acceleration acts in that direction, thus:

\(v_x=v_o\)

The vertical component of the velocity changes in time because gravity makes the object fall at increasing speed given by:

\(v_y=g.t\)

The horizontal distance is calculated as a constant speed motion:

\(x = v_x.t\)

Knowing the crossbow is fired horizontally at vo=vx=15 m/s and it takes t=4 s to hit the ground, thus the range of the projectile is:

x = 15*4 = 60

The range of the projectile is 60 m

Answer:

where are the statements

Explanation:

Answer:

It would be B because the warm air heats up and then burns the marshmallow. And the heat and the marshmallow were touching each other

Explanation:

Answer:

its B because both objects are touching, every other option the heat moves through the air

Answer: Convention

Explanation: Convention is pretty well known for being a process that transmits heat from one place to another place with the movements of heated particles. I got this answer from my notebook during my chemistry class.

Hope this answer helps!

Answer:

support lights as a wave

Explanation:

In the model of light as a particle, the experimenter would expect to see one small hole of light emerging on the wall. However, as the light spreads out, it behaves much like a wave that diffracts when going through a small hole.

In 7.5 s, 4200 waves will pass a given point. Then, the frequency of the waves is 560 Hz.

Frequency is the number of cycles or oscillations of a wave that occur in one second, measured in Hertz (Hz). It is the rate at which a wave completes a full cycle, which is usually measured as the number of wavelengths that pass a fixed point in a unit of time.

The formula for frequency is;

frequency = waves/time

Where "waves" is the number of waves that pass a given point and "time" is the time it takes for those waves to pass.

In this case, we know that 4200 waves pass a given point in 7.5 seconds, so we can plug those values into the formula;

frequency = 4200/7.5

Simplifying;

frequency = 560

Therefore, the frequency of the waves is 560 Hz.

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The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

The base SI units are meter, kilogram, second, kelvin, ampere, candela, and mole

The unit of energy is Joules which is equivalent in mks unit as Kg m²s⁻²

Thus, The kilogram is an SI base unit that makes up part of the unit of energy, therefore the correct answer is option D

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When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.

When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.

This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.

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The value of  the missing resistance, R₃ = 10.35 ohms.

The value of the missing voltages, V₁ = 6 V, V ₃ = 24 V.

The value of the missing currents, I₁ = 3 A, I₃ = 2.32 A.

The values of the missing component of the circuit is calculated by applying the following formula.

The total resistance of the circuit;

For R₂, R₃, 1/R = 1/R₂ + 1/R₃

1/R = 1/12 +  1/R₃

1/R = (R₃ + 1)/(12R₃)

R = 12R₃ / (R₃ + 1)

For, R₁, R₂ and R₃, total resistance;

R = 12R₃ / (R₃ + 1) + R₁

R = [12R₃ / (R₃ + 1)] + 2

R = (12R₃ + 2(R₃ + 1) ) / (R₃ + 1)

R = (12R₃ + 2R₃ + 2 ) / (R₃ + 1)

R = (14R₃ + 2 ) / (R₃ + 1)

The total current in circuit is calculated as;

I = V/R

I = 30 / R

I = ( 30 ) / (14R₃ + 2 ) / (R₃ + 1)

I = (30R₃ + 30) / (14R₃ + 2) ------- (1)

The voltage in parallel circuit is the same

V₂ = V₃ = 24 V

V₃ = IR₃

24 = IR₃

I = 24/R₃  --------- (2)

Solve (1) and (2) together as follows;

24/R₃ = (30R₃ + 30) / (14R₃ + 2)

30R₃² - 306R - 48 = 0

Solve the quadratic equation, using formula method.

R₃ = 10.35 ohms

I₃ = V₃/R₃

I₃ = 24 V / 10.35

I₃ = 2.32 A

If the voltage drop at R₂ and R₃ = 24 V, the voltage drop at R₁ = 30V - 24 V = 6 V

The current in R₁ = V₁/R₁ = 6 V / 2 V = 3 A

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One notable athlete who has been associated with the use of performance-enhancing drugs (PEDs) is the American professional cyclist Lance Armstrong.

Armstrong gained worldwide recognition for his unprecedented seven consecutive victories in the Tour de France from 1999 to 2005. However, his remarkable achievements were tarnished when it was revealed that he had engaged in systematic doping throughout his career.

In 2012, after years of denial, Armstrong finally admitted to using banned substances, including erythropoietin (EPO), testosterone, corticosteroids, and blood transfusions, to enhance his performance. These substances boosted his endurance and oxygen-carrying capacity, providing him with an unfair advantage over his competitors. Armstrong's confession came after substantial evidence, including testimonies from teammates and extensive investigations, exposed his involvement in one of the most elaborate and sophisticated doping schemes in sports history.

Following his admission, Armstrong was stripped of his Tour de France titles and received a lifetime ban from professional cycling. The revelations surrounding his drug use had a profound impact on the sport, shaking its credibility and raising concerns about the prevalence of doping in cycling.

Armstrong's story serves as a cautionary tale, highlighting the ethical and moral dilemmas associated with doping in sports. His case underscores the importance of maintaining the integrity of athletic competition, the significance of stringent anti-doping measures, and the need for education and awareness regarding the risks and consequences of performance-enhancing substances.

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A beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy, then the mass is approximately 1.74 kg, and this can be calculated by using the  kinetic energy (KE) of an object that is KE = (1/2) ×m × \(v^2\).

KE = (1/2) ×m × \(v^2\).

where m= mass of the object, v=its velocity.

The beaver runs at a speed of 2.0 m/s with 45 J of kinetic energy. Substituting these values into the above equation

45 J = (1/2) ×m × \((2.0 m/s)^2\)

Simplifying this equation:

45 J = (1/2) × m × 4.0\(m^2/s^2\)

45 J = 2 m × 2 \(m^2/s^2\)

45 J = 4 \(m^3/s^2\)

\(m^3\) = 45 J / 4 \(s^2\)

\(m^3\) = 11.25 kg×\(m^2/s^2\)

Taking the cube root of both sides to solve for mass,

m = (11.25 kg×\(m^2/s^2)^(^1^/^3^)\)

m = 1.74 kg (rounded to two decimal places)

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We need the position vectors of a particle at two points along its path and also know the time it took to move from one point to the other to find the instantaneous velocity but not the average velocity.

We need to take a moment to be able to explain to ourselves again the meaning of the term velocity. Let us recall that the term velocity would have to do with the change in the position of an object with time.

We know that the velocity is a vector quantity and as such we must have to look at the direction in which the distance that has been covered has passed through and this is something that we must keep in  mind as we work through this question.

Now, we know that the velocity is the change in position as such we need the two positions of the object and the approximate time taken to make the change.

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Given:

The solar power per unit surface of the earth is: P = 700 W/m²

The dimensions of the roof are: A = 8.83 m × 13.67 m

The time for which the solar radiation is incident on the roof is: t = 4.43 h

To find:

The energy incident on the roof.

Explanation:

The area A of the roof is:

The time t can be converted into seconds as:

The energy incident on the given surface area in the given time is calculated as:

Substituting the values in the above equation, we get:

Final answer:

The amount of solar energy incident on the roof is 1347.51 Mega Joules (M.J)

Answer:

Tension of rope T = 35.16 N

Explanation:

Given:

Mass of block = 8 kg

Wood of density = 696 kg/m³

Density of lead = 11,340 kg/m³

Find:

Tension in the string

Computation:

Volume of wood = Mass of block / Wood of density

Volume of wood = 8 / 696

Using Archimedes law

Mw + M  = (Vw + V) 1,000

8/1,000 + 11,340v = (Vw + V) 1,000

V = 3.47 x 10⁻⁴

Tension of rope T

T = v (11,340 - 1,000)9.8 N

T = (3.47 x 10⁻⁴)(11,340 - 1,000)9.8 N

Tension of rope T = 35.16 N

If the upper surface of the wood is just level with the water, the tension in the string is 34.2 Newton.

Mass of block of wood; \(m_w = 8.00kg\)

Density of wood; \(\delta _w = 696 kg/m^3\)

Density of lead; \(\delta _{Ld} = 11340 kg/m^3\)

Density of water; \(\delta _{water} = 1000kg/m^3\)

First we determine the volume of wood:

\(v_w = \frac{mass}{density} = \frac{m_w}{\delta w} = \frac{8.00kg}{696kg/m^3}\\\\v_w = 0.01149m^3\)

Now, using Archimedes principle:

Buoyancy force is determined using the equation:

\(F_b = V * \delta * g\)

Where:

We substitute our values into the equation

\(F_b = 0.01149m^3\ *\ 1000kg/m^3 * 9.8m/s^2\\\\F_b = 112.602 kg.m/s^2\\\\F_b = 112.602N\)

Now, buoyancy force \(F_b\) = Weight + Tension

\(F_b = mg + T\\\\T = F_b - mg\)

We substitute in our values

\(T = 112.602N - ( 8kg * 9.8m/s^2)\\\\T = 112.602N - 78.4kgm/s^2\\\\T = 112.602N - 78.4N\\\\T = 34.2N\)

Therefore, if the upper surface of the wood is just level with the water, the tension in the string is 34.2 Newton.

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Answer:

192.6N

Explanation:

Let's consider the forces acting on the beam:

Weight of the beam (W): It acts vertically downward and has a magnitude of W = mass * gravitational acceleration = 39.4 kg * 9.8 m/s^2.

Force exerted by the link on the beam (F_link): It acts at an angle of 90 degrees with respect to the beam and has two components: the vertical component and the horizontal component.

Tension in the cable (T): It supports the far end of the beam and acts at an angle of 90 degrees with respect to the beam. Since the angle between the beam and the cable is 90 degrees, the tension in the cable only has a vertical component.

Let's break down the forces acting on the beam:

Vertical forces:

W (weight of the beam) - T (vertical component of tension) = 0

T = W

Horizontal forces:

F_link (horizontal component of the force exerted by the link) = ?

To find the magnitude of the horizontal component of the force exerted by the link on the beam (F_link), we need to consider the equilibrium of forces in the horizontal direction.

Since the beam is inclined at an angle of θ = 33.1 degrees with respect to the horizontal, the horizontal equilibrium equation can be written as:

F_link = W * sin(θ)

Let's substitute the given values:

W = 39.4 kg * 9.8 m/s^2

θ = 33.1 degrees

F_link ≈ (39.4 kg * 9.8 m/s^2) * sin(33.1 degrees)

Using a calculator, we find that the magnitude of the horizontal component of the force exerted by the link on the beam (F_link) is approximately 192.6 N.

Based on Hooke's law, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.

The spring constant or stiffness constant of an elastic spring is constant which describes the extent a bit forceapplied to an elastic spring will extend it.

Assuming, a body's muscle mechanism is a spring obeying Hooke's law, the effective mass of the spring with mass m is 1/3 of the mass of the spring = m/3

The potential energy that can be stored = ke^2 / 2

where K is spring constant and e is the extension produced.

Therefore, the spring constant of the the body's muscle mechanism is the ratio of force to extension, the effective mass is m/3 and the potential energy that can be stored is ke^2 / 2.

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Answer:

A. 16 J

B. 16 J

C. 8 N

Explanation:

A. Determination of the kinetic energy.

Mass (m) = 0.5 Kg

Velocity (v) =. 8 m/s

Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 0.5 × 8²

KE = ½ × 0.5 × 64

KE = 0.5 × 32

KE = 16 J

B. Determination of the Workdone by the force.

Kinetic energy (KE) = 16 J

Workdone =.?

Workdone and kinetic energy has the same unit of measurement. Thus,

Workdone = kinetic energy

Workdone = 16 J

C. Determination of the force.

Workdone (Wd) = 16 J

Displacement (s) = 2 m

Force (F) =?

Wd = F × s

16 = F × 2

Divide both side by 2

F = 16 / 2

F = 8 N

The mechanical advantage of the crow bar is 3 while the velocity ratio is 4. The efficiency of the machine is 75%.

We know that a machine is any device that can be used to make work a lot much easier. Thus, the machine is the object that could make less effort to be applied in making a greater work to be done as we can see in this case we have here.

From the question, the pieces of information that we can get are;

Distance moved by Effort = 200 cm

Distance moved by load = 0.5 m or 50 cm

Velocity ratio = Distance moved by Effort/Distance moved by load

= 200 cm /50 cm

= 4

Mechanical advantage is found to be; Load/Effort

= 600 N/200 N

= 3

Efficiency = Mechanical advantage/ Velocity ratio * 100/1

= 6/4 * 100/1

=3/4 * 100/1

= 75%

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Drehex Corporation may need to make trade-offs between cost and time to complete the project, considering the hourly rates and time estimates of their team members.

Corporation may have to make several trade-offs to complete the project based on the cost and time estimates provided. Here are some possible trade-offs they may need to consider:

Ultimately, the trade-offs Drehex Corporation makes will depend on their specific project goals, budget, timeline, and the importance they place on factors such as cost-effectiveness, timeliness, expertise, and quality. Balancing these trade-offs effectively is crucial for successful project completion.

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Answer:

Sample Response: Oracio is the most cost-effective choice because he would cost the least to complete the project. However, he would also take the longest amount of time. Camilla could complete the job the fastest, but she costs more than Oracio. Drehex Corporation will have to decide if it is more important to save money or complete the work quickly to meet the deadline.

Explanation:

A magnetic force is the answer

The maximum height to which the ball attain before falling back down is 1147.96 m

The following data were obtained from the question:

The maximum height reached by the ball can be obtained as illustrated below:

v² = u² – 2gh (since the ball is going against gravity)

0² = 150² – (2 × 9.8 × h)

0 = 22500 – 19.6h

Collect like terms

0 – 22500 = –19.6h

–22500 = –19.6h

Divide both side by –19.6

h = –22500 / –19.6

h = 1147.96 m

Thus, the maximum height reached by the ball is 1147.96 m

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If you walk 5 meters north, 2 meters west, 4 meters south, and 7 meters east....then the displacement is      \(\sqrt{26}\).

A displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion.

Solution:

As per the given statement when  you walk 5 meters north, 2 meters west, 4 meters south, and 7 meters east... then you will be resulting in forming a right angled triangle from origin to ending point.

That right angled triangle will have

base=5m

perpendicular=1cm

hypotenuse=?

to find hypotenuse we use Pythagoras theorem:

\(h^{2}\)=\(b^{2}+ p^{2}\)

On putting values we get

\(h^{2}\)=\(b^{2}+ p^{2}\)

h=\(\sqrt{25+1}\)

h=\(\sqrt{26}\)

Hence, the displacement is      \(\sqrt{26}\).

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Answer:

The correct option is A

Explanation:

For a substance to boil at 1415 °C shows the substance is an electrovalent/ionic substance (hence the elements are not the answer). Electrovalent/ionic substances are characterized by high melting and boiling points. Also, with a density of 3.13 g/cm³ (with a +/- 0.1 g/cm³), the correct answer is potassium iodide. This is because potassium iodide has a density of 3.12 g/cm³ (which is - 0.1 g/cm³). It should also be noted that pure potassium iodide boils at 1,330 °C, however the presence of impurities could increase the boiling point of the salt, thus an impure potassium iodide could have a density of 3.12 g/cm³ and a temperature around 1415 °C

"Potassium iodide" would it most likely be. A further explanation is provided below.

Given values are:

Density,

Boiling point,

Density can be change by,

Uncertainty in temperature,

We can take the value of density from:

We can take the value of temperature from:

After checking the ranges, we find "Potassium iodide" have density as well as temperature in our range.

Thus the above answer is right.

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The answers are 1) The value of R2 is not relevant as it implies a downward force on the plank, 2) The reactions at C and D are 66.3 N and 90 N, respectively, and 3) The vertical force at B to lift the plank clear of D is 686.4 N. The reaction at C is zero, and the reaction at D is 61.4 kg.

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Answer:

Explanation:

Given data

Density of concrete  ρ_c=2200kg/m3

Mass of concrete m_c= 25kg

In water

\(F_{P2} + F_{app}-m_{cg}=0\)

\(F_{app}=m_{cg}-F_{P2}\)

Max Fapp = 25*g

Buoyancy force

\(F_{P2} = \rho WgV_c= \rho Wg\frac{\rho_c}{m_c}\\\\F_{ p2}= \rho Wg\frac{\rho_c}{m_c}\)

\(25*g=m_cg- \rho W g\frac{mW}{\rho_c}= m_cg(1- \frac{\rho W}{\rho_c} )\)

\(m_c=25( \frac{\rho_c}{\rho_c- \rho W} )\)

substitute

\(m_c=25( \frac{2200}{2200- 1000} )\\\\m_c=25*1.833\\\\m_c=45.8\)

=46kg approx.

Answer:

 (C) Mechanical Force

Explanation:

The power of the motor can be calculated by dividing the work done (2400J) by the time taken (2 minutes). Therefore, the power of the motor is 2400J/120s = 20W.

Motor is a mechanical or electrical device that converts energy into motion. Motors are used in a variety of applications, including industrial, commercial, and residential. Examples of motors include electric motors, steam engines, and internal combustion engines. Electric motors use electrical energy to produce rotational mechanical energy, while steam engines produce rotational mechanical energy through the use of steam pressure. Internal combustion engines produce rotational mechanical energy through the combustion of fuel. Motors are used in a variety of applications, ranging from powering household appliances to running industrial machinery. In addition, motors are used to power various types of transportation, such as cars and boats. Motors are also used to power robotics in a variety of industries, including manufacturing and healthcare.

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Answer:

(1.8 × 10^9) meters in one minute

Explanation:

To determine how far light can travel in one minute, we need to multiply its speed by the number of seconds in a minute.

The speed of light is 3 × 10^8 meters per second.

There are 60 seconds in a minute.

Therefore, the distance light can travel in one minute is:

Distance = Speed × Time

Distance = (3 × 10^8 meters per second) × (60 seconds)

Calculating this, we get:

Distance = 3 × 10^8 meters/second × 60 seconds

Distance = 18 × 10^8 meters

Distance = 1.8 × 10^9 meters

So, light can travel approximately 1.8 billion (1.8 × 10^9) meters in one minute.

Answer:

\(thank \: you\)

Answer: Air resistance

Explanation: If you subtract the net force from the weight of a falling object, you would be solving for a force that is not being balanced from the other forces.

The net force (with no external forces) on the falling object would just be the force of gravity. So, any force that unbalances the force of gravity would be what you are solving for. This can be air resistance, friction (if the object is sliding against a wall), or applied forces (pushing the object while it falls).