4. Ebo throws the ball again at an initial velocity of 18 m/s but this time at an angle of 53° to the ground. a) Work out the velocity in component vector form. b) Why will the ball spend a longer time in the air than it did before. c) Calculate the range of the ball.​

Answer:

Approximately [tex]1.9\times 10^{4}\; {\rm N}[/tex] (rounded up) assuming that [tex]g = (-9.81)\; {\rm N \cdot kg^{-1}}[/tex] (downwards.)

Explanation:

The car is accelerating at a constant [tex]a = 0.60\; {\rm m\cdot s^{-2}}[/tex] (positive since the car is accelerating upwards.) Hence, the net force on this car will be:

[tex]\begin{aligned}F_{\text{net}} &= m\, a \\ &= 1800\; {\rm kg} \times 0.60\; {\rm m\cdot s^{-2}} \\ &= 1080\; {\rm N}\end{aligned}[/tex].

Note that since net force points in the same direction as acceleration (upwards,) [tex]F_{\text{net}}[/tex] is also positive.

The main forces on this car are:

With a mass of [tex]m = 1800\; {\rm kg}[/tex], the weight on this car will be [tex]m\, g = 1800\; {\rm kg} \times (-9.81)\; {\rm N \cdot kg} = (-17658)\; {\rm N}[/tex] (negative since weight points downwards to the ground.)

The net force on this car is the sum of the external forces:

[tex]F_{\text{net}} = F(\text{tension}) + m\, g[/tex].

It is shown that [tex]F_{\text{net}} = 1080\; {\rm N}[/tex] while [tex]m\, g = (-17658)\; {\rm N}[/tex]. Substitute both values into the equation and solve for [tex]F(\text{tension})[/tex]:

[tex]1080\; {\rm N} = F(\text{tension}) + (-17658)\; {\rm N}[/tex].

[tex]\begin{aligned}F(\text{tension}) &= 1080\; {\rm N} + 17658\; {\rm N} \approx 1.9\times 10^{4}\; {\rm N} \end{aligned}[/tex] (rounded up.)

Ice at 0°C must have a minimum mass of 0.39 kg.

As we know that

M(ice) at Ti(ice) = 0°C

Mс = 350 ml at Tic = 90°C

Now,

The heat loss by coffee=heat gain by ice

So,

McScΔ₁ = M₁L₁

Then,

ρv = 10³×(350×10-³)×10-³ = 350g

The specific heat of coffee = 1 cal/9°C

The latent heat of ice = 80 cal/g

Now, we plug all the values in above formula

350×1×(90-0) - M₁x80

M₁ = [tex]\frac{350x90}{80}[/tex]

    =393.75g

    =0.393kg

The minimum mass of 0°C ice required is 0.393 kilograms

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Answer:

The first one is the right answer

Explanation:

This is because a period is only completed when there is the completion of only one oscillation

The course to be likely taken by a mechanical engineer in college is agriculture operations (option A).

Engineering is application of mathematics and the physical sciences to the needs of humanity and the development of technology.

Mechanical engineering is a subfield of engineering concerned with designing and building machines and mechanical systems.

A mechanical engineer is an individual who specialises in the field of mechanical engineering. This means that a mechanical engineer is expected to be vast in the knowledge of designing and building machines for operations in other fields.

One of those fields that a mechanical engineer can build or design machine for is agriculture. Therefore, agriculture operations is the most likely course to be taken by a mechanical engineer in college.

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Answer:  The correct answer is Agriculture Operations

Explanation:  This answer has been confirmed correct.

Mechanical engineers work with equipment and automation, in areas such as agricultural operations. In contrast, they do not typically work with chemistry, ethics, or molecular biology.

Answer:   Relative Atomic Mass

Explanation:   The closer the element is to the bottom-right corner, the higher the relative atomic mass. Hydrogen has the lowest relative atomic number at 1, whereas Lawrencium has the highest relative atomic mass at 262.

The acceleration of the sled of combined mass 62.5 kg is 1.018 m/s².

Acceleration is the rate of change of velocity.

To calculate the acceleration of the sled, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the acceleration of the sled is 1.018 m/s².

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We obtain the radius of the curved path through which the ball travels as 16 cm. Option A

We know that we can be able to obtain the radius of the path from the period of the path and the velocity of the object by the use of the equation;

V = 2πr/T

Given that;

V = velocity

T = period

r = radius

VT = 2πr

r = VT/2π

r = 4.2 m/s  * 0.24 s/ 2 * 3.142

r = 1.008/6.284

r = 0.16 m or 16 cm

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The magnetic flux through the coil is determined as 25.2 Tm².

Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface.

The magnetic flux through the coil is calculated using the following formula.

Ф = BA cosθ

where;

A = πd²/4

where;

A = π(13)²/4

A = 132.73 m²

Since the coil is parallel to the magnetic field, θ = 0

Ф = BA cosθ

Ф = 0.19 T  x  132.73 m² x cos(0)

Ф = 25.2 Tm²

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The mistake that Dominic made in the above prompt is: "Although it is possible to have more than one state in mixtures, it is also possible to have only one state." (Option C).

A mixture is a material composed of two or more separate chemical components that are not chemically linked. A mixture is the physical combination of two or more substances that retain their identities and are blended in the form of solutions, suspensions, and colloids.

Mixtures are classified into two types: heterogeneous and homogeneous. Heterogeneous mixes feature distinct components, whereas homogeneous mixtures look uniform throughout. A solution, which can be solid, liquid, or gas, is the most frequent form of homogeneous combination.

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Answer:

You can only stop (or start) your body moving through space if you can cause an external force to be applied to it.

Explanation:

The net capacitance C of each network of capacitors is 7.33 pF.

The net capacitance of a circuit containing capacitors arranged in series to one another is the reciprocal sum of the individual capacitance.

Mathematically, this capacitance is given as;

1/Ct = 1/C₁ + 1/C₂ + 1/C₃ + 1/C₄ + 1/C₅

where;

The capacitance of capacitors arranged in parallel to one another, the net capacitance is the sum of the individual capacitors.

Ct = C₁ + C₂ + C₃ + C₄ + C₅

In the given circuit, the net capacitance is calculated as follows;

C₂  and C₃ are in series to one another, the net capacitance of these two is calculated as;

1/Ct = 1/C₂ + 1/C₃

1/Ct = 1/2 + 1/4

1/Ct = 3/4

Ct = 4/3 pF

Ct = 1.33 pF

Combining the whole capacitors in the circuit, C₂, C₃ are in parallel with C₁ and C₄

Ct = 1.33 pF + C₁ + C₄

Ct = 1.33 pF   +  1 pF   +   5 pF

Ct = 7.33 pF

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Answer:

B

Explanation:

If you try the experiment yourself, You will see that a hot piece of metal has and sustains that thermal energy until that piece of metal eventually cools off.

On the other hand, it takes a while for the cold piece of metal to heat up. So, therefore, it does not contain thermal energy for that long period until it is thoroughly heated up.

Hope this helped! :)

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Astronomers refer to as retrograde motion of the planets to an apparent movement of the planets westward from night to night.

The retrograde movement or the retrogradation of the planets is the apparent movement that a planet makes in the opposite direction to the other bodies that make up the system where it is.

This movement is actually an optical illusion that occurs due to the difference in speed between the different planets, looking as if one of them were moving backwards from east to west.

Therefore, we can confirm that the correct answer is option D. apparent movement of the planets westward from night to night.

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The force needed to remove the plug that is 6.000 cm in diameter which plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure is 85 N

P = F / A

P = ρ g h

P = Pressure

F = Force

A = Area

ρ = Density

g = Acceleration due to gravity

h = Height

ρ = 1000 kg / m³

g = 9.8 m / s²

h = 10 ft = 3.048 m

A = π r²

d = 6 cm = 0.06 m

r = d / 2 = 0.06 / 2

r = 0.03 m

A = 3.14 * 0.03 * 0.03

A = 0.002826 m²

Equating both formulae of P,

F / A = ρ g h

F = 1000 * 9.8 * 3.048 * 0.002826

F = 85 N

Therefore, the force needed to remove the plug is closest to 85 N

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Answer:

4870 N

Explanation:

Since he is not accelerating

  the force is equal to his weight    mg  = 487 * 10 = 4870 N

The correct answer of minimum wavelength Lambdamin of light radiated is 1.3777 x 10 ^-2 m.

What is bremsstrahlung radiation?

Bremsstrahlung, also known as "braking radiation" or "deceleration radiation," is electromagnetic radiation that is produced when a charged particle decelerates when it is deflected by another charged particle. This is commonly an electron by an atomic nucleus.

The energy of the photon is given by:

E=hν=hcλE=hν=hcλ

Here

• h=6.63⋅10^−34 J⋅s=6.63⋅10^−34 J⋅s is the Plank's constant and c is the speed of light and λ is the wavelength

λ= hc/E = 4.136×10−15 eV·s (2.998x10^8 m/s)/10^4 eV

= 4.136×10^−15 eV·s (2.998x10^8 m/s)/9^4 eV = 1.3777 x 10 ^ (8-15-4) = 1.3777 x 10 ^-11 m

= 1.3777 x 10 ^-2 m

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Taking into account the Newton's Second Law, she accelerate the soccer ball from rest to 37.234 m/s² in the process.

Newton's Second Law states that this force will change the speed of an object because the speed and/or direction will change.

Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

In this case, you know:

Replacing in Newton's second law:

35 N= 0.94 kg× a

Solving:

a= 35 N÷ 0.94 kg

a=37.234 m/s²

Finally, she accelerate the soccer ball to 37.234 m/s².

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Speed of the drop will be 15.4919m/s

Given :- g =10m/s²

u=0

s=12

v²-u²=2as is the formula to be used.

v²=u²+2as

v²=2 x 10 x 12

=240

v=√240 m/s

=15.4919m/s

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A tank with a flat bottom is filled with water to a height of 7.5 meters. The pressure at any point at the bottom of the tank will be 174825 Pascal

Pressure at the flat bottom will be = Po + P(h)

Po = atmospheric pressure

P(h) = Pressure due to water

density of water = rho = 1000 kg / [tex]m^{3}[/tex]

Pressure at the flat bottom will be = 101325 Pa + 1000 * 9.8 * 7.5 = 174825 Pascal

The pressure at any point at the bottom of the tank will be 174825 Pascal

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This situation defies the laws of physics because the force required to stop the person from touching the ground would be too great that it would be equally fatal.

The first law to be considered is that an object will continue moving at a constant acceleration unless there is an unbalanced force that interrupts this. In other words the person will fall unless the supehero force is equally strong to the accelaration.

The main problem is that the superhero's speed and force would have to be about 160 miles per hour or even more to "save" the person. However, this would be even more dangerous than being hitted by a car and the person would immediately die due to the impact.

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1 ) Resultant force if the forces act in the same direction = 41 N

2 ) Resultant force if the forces act in the opposite direction = 9 N

3 ) Resultant force if the forces act at right angles to each other = 29.68 N

F1 = 16 N

F2 = 25 N

1 ) If the forces act in the same direction,

F = F1 + F2

F = 16 + 25

F = 41 N

2 ) If the forces act in the opposite direction,

F = F2 - F1

F = 25 - 16

F = 9 N

3 ) If the forces act at right angles to each other,

F² = F1² + F2²

F² = 16² + 25²

F² = 256 + 625

F² = 881

F = 29.68 N

Therefore,

1 ) F = 41 N

2 ) F = 9 N

3 ) F = 29.68 N

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In the winter, an animals fur provides warmth through Conduction.

What is conduction?
One of the three main ways that heat energy moves from one place to another is conduction. The other two ways heat moves are through radiation and convection. Thermal energy is transferred through conduction when nearby atoms or molecules collide. Because the particles in solids and liquids are closer together than they are in gases, conduction occurs more readily. The rate of energy transfer besides conduction is faster when there is a significant temperature difference between the materials in contact. Thermal energy is transferred from a lower kinetic energy area to a higher kinetic energy area. The kinetic energy of slow-moving particles increases when they collide with fast-moving particles. This is a typical instance of heat transfer through physical contact.

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White's narrative approach encourages families to option a. create alternative accounts of their lives.

A type of therapy called narrative therapy seeks to detach the patient from the issue, allowing them to externalize their problems rather than keep them inside. It depends on the person's own abilities and sense of purpose to get them through challenging situations.

Note that Writing or reading stories with problems and answers related to the person's circumstances might be part of a narrative approach. The goal of narrative techniques is to give children a different means of expressing their feelings through words.

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See full question below

White's narrative approach encourages families to:

a. create alternative accounts of their lives

b. gain awareness of the origins of their problem

c. attend to reflecting team observations

d. develop a problem-saturated perspective

Radiation is correct answer.

What is radiation?

Radiation is energy that moves through space at the speed of light from a source. This energy is coupled with an electric and magnetic field, and it has wave-like qualities. Radiation is sometimes known as "electromagnetic waves."

UV rays, which can be fatal, are readily avoided by covering oneself. The visors are coated to reflect UV, while the suit's opaque layers take care of the rest. On the other end of the spectrum, x rays and gamma rays are difficult to shield—here is where lead comes in, but there isn't enough of this type of radiation to justify the added weight. A radiologist's lead apron can weigh 10-15 kg, so filling the entire suit with this thickness of lead would add at least 25-40 kg to an already large and heavy suit. The material of the suit absorbs some of the radiation, although this is not the greatest danger to astronauts.

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A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. The final vertical velocity of the projectile as it hits the ground will be 216.36 m/s

s = u*t + 1/2 * a * [tex]t^{2}[/tex]

734.7 = 180 * t + 1/2 * g  * [tex]t^{2}[/tex]

734.7 =  180 * t + 1/2 * 9.8  * [tex]t^{2}[/tex]  

         = 4.9  [tex]t^{2}[/tex]   + 180 t - 734.7

by solving the above quadratic equation , we get

t = 3.71 seconds

v = u + at

v = u + g*t

v = 180 + (9.8)(3.71)

 = 216.36 m/s

The final vertical velocity of the projectile as it hits the ground will be 216.36 m/s

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Newts hatch in water, but they spend the most of their lives on land, returning to water only for mating.

They have rough skin, are 8 inches long, and have stubby legs and fangs. In the Pacific Northwest, some of them are toxic.

Rough-skinned newts have brown skin on their backs and bright orange skin on their bellies. When frightened by predators, these newts coil their bodies and show off their orange necks and tails. Predators are warned to stay clear from this orange tint.

It is to be noted that none of the newts are the same traits that is color or size.

A phenotypic trait (simply trait or character state) is a distinct variety of an organism's feature that is visible and quantifiable and manifests itself in an observable manner.

For example, eye color (green, blue, brown, and hazel) is a phenotypic feature that is passed down by polygenetic inheritance.

Height, wing length, and hair color are all phenotypes. Phenotypes also include observable traits that may be evaluated in the lab, such as hormone levels or blood cell counts.

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The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

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The estimated value of mass is 0.2625066 units

Given , Force =3.5N , time=0.15sec =15/100 sec

Velocity=2 m/s, mass =?

In Physics Acceleration means rate of change of velocity, i.e. Mathematically, a= v/t

a= 2/0.15

a=200/15= 13.333m/s²

In Physics Force means product of mass and acceleration i.e. F=ma

From this equation we can deduce the value of mass of the object.

3.5N= m [13.333]

m=3.5/13.333

m= 0.2625066

Hence forth in this way the value of mass is computed.

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The gas is a matter as it has mass and occupies space which is evident from the fact that it weighed less.

Anything that occupies space and has mass is matter.

When the gas was shot out of the can, the can weighed less. This simply means that gas has mass.

Since the gas has mass and does occupy space, so, this shows that gas is matter.

Everything around is made up of matter. There are different types of matter like solids, liquids, and gas. These three are the primary forms of matter. Two other forms are also discovered which are Plasma and Bose-Einstein Condensate.

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Answer:

See below

Explanation:

Here are a couple of options..... one where the object slows to a rest and the other where the object stops to a rest instantaneously