jim pushes a box with a force of 100N. neglect friction.
a. how mang forces exerted on the box? draw the diagram to support your answer.
b. what is the resultant force in the example?
c. let assume that the mass of the box is 10kg. use newton's law of motion to find the acceleration of the box.​

Answer:

a.) 12[tex]\frac{rad}{s^2}[/tex]

b.) 48[tex]\frac{rad}{s}[/tex]

c.) 23.87 rev

Explanation:

First, convert linear velocity to angular velocity.  The angular velocity can be calculated using the relationship v=rω, where v is the linear velocity, r is the radius, and ω is the angular velocity.  Rearrange the equation to solve for ω:

[tex]\omega=\frac{v}{r}[/tex]

For this problem, let v=30[tex]\frac{m}{s}[/tex] and r=0.5m.  So,

[tex]\omega=\frac{30\frac{m}{s}}{0.5m}\\\omega=60\frac{rad}{s}[/tex]

Next, to solve for angular acceleration use rotational motion equation #1, [tex]\omega_f=\omega_i+\alpha t[/tex].  For this problem, let

[tex]\omega_i=0.0\frac{rad}{s}\\\omega_f=60\frac{rad}{s}\\t=5s[/tex]

So,

[tex]60\frac{rad}{s}=0.0\frac{rad}{s}+\alpha(5s)\\(\frac{1}{5s})60\frac{rad}{s}=\alpha(5s)(\frac{1}{5s})\\12\frac{rad}{s^2}=\alpha[/tex]

Next, use the angular acceleration and the time given in part b in rotational motion equation #1 to solve for the angular velocity at t=4s:

[tex]\omega_f=\omega_i+\alpha t\\\omega_f=0.0\frac{rad}{s}+(12\frac{rad}{s^2})(4s)\\\omega_f=48\frac{rad}{s}[/tex]

To find the number of revolutions, use rotational motion equation #3, [tex]\theta=v_it+\frac{1}{2}\alpha t^2[/tex], to find the angular displacement at t=5s.  So,

[tex]\theta=0.0\frac{m}{s}(5s)+\frac{1}{2}(12.0\frac{rad}{s^2})(5s)^2\\\theta=0.0m+150\ rad\\\theta=150\ rad[/tex]

To convert the angular displacement in radians to revolutions, recall that one revolution equals 2π radians.  So,

[tex]150\ rad(\frac{1\ rev}{2\pi\ rad})=\frac{75}{\pi}\ rev\approx23.87\ rev[/tex]

Answer: reflection

Explanation: the concave mirror will gather light from distant objects outside of the Earth's atmosphere. since these celestial objects are so far, the rays of light are parallel, and the mirror will reflect it at the focus point, and the image displayed depends on how far away the object is.

The total charge of these electrons in the red blood cell is 4.8 × 10⁻¹⁰ Coulomb.

The physical characteristic of matter that causes it to feel a force when exposed to an electromagnetic field is called electric charge.

The two types of electric charges - protons and electrons.

The  red blood cell contains 3.0 × 10⁷ free electrons.

Electric charge of each electron = 1.6 × 10⁻¹⁷ Coulomb.

Hence, the total charge of these electrons in the red blood cell is = total number of electrons × charge of each electrons

= 3.0 × 10⁷ × 1.6 × 10⁻¹⁷ Coulomb.

= 4.8 × 10⁻¹⁰ Coulomb.

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Answer:

2 m/s approximately

Explanation:

We can use linear speed formula to solve this problem as we are given with period and radius:

[tex] \displaystyle{v = \dfrac{2\pi r}{T}}[/tex]

v is velocity, r is radius and T is period. Substitute in known values:

[tex] \displaystyle{v = \dfrac{2\pi \times 2}{5}} \\ \\ \displaystyle{v = \dfrac{4\pi}{5}} \\ \\ \displaystyle{v = \dfrac{4 \times 3.14}{5}} \\ \\ \displaystyle{v = \dfrac{10}{5} } \\ \\ \displaystyle{v = 2 \: \text{m/s}}[/tex]

As for why 4*3.14 becomes 10, it's due to the significant figure rules of multiplication. Since it's 1 significant figure times 3 significant figures, we use the lowest significant figures to determine the answer. Hence, why it's not 12 but 10 instead.

Answer:

3.8809144

Since we are looking for volume, we will look at the coin as a cylinder. The volume of a cylinder is pi x r^2 xh. Assuming pi is 3.14 the equation would go 3.14x1.1236x1.1. Which would give you the answer,

Zero, At the highest point, the speed is zero, and the acceleration due to gravity is g = 9.8 milliseconds (-2).

As a result, when it returns to you, it will be traveling in the opposite direction and at the same speed as when you tossed it upward. As a result, by the time it returns to your level, it will have completed the same action on the ball that you tossed downward and will produce the same outcome.

A ball progressively loses speed as we toss it upward. This is so that anything that rises will fall due to the gravitational pull of the earth. So

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Answer:

6.77

Explanation:

If more resistors are added in series to a battery with zero internal resistance, the power supplied by the source decreases.

The reason is that adding more resistors will increase the total resistance and decrease the current through all resistors. The new total resistance is: Rtot = R₁ + R₂ + R₃ + ...

And we know from ohm's law, V/I = R.

From here, we can see that when we add more resistors in series, we have more voltage across each individual part of our circuit, but less current flowing through each part of it. That means our total power supplied by the source decreases because there is less current flowing through the resistors when combined.

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The electric flux through the surface shown in the figure is  2.6 Nm²/C.

The electric flux through the surface shown in the figure is calculated as follows;

Ф = E A cosθ

where;

The area of the surface is calculated as follows;

A = 10 cm x 10 cm

A = 0.1 m x 0.1 m

A = 0.01 m²

The electric flux through the surface shown in the figure is calculated as;

Ф = 300 x 0.01 cos30

Ф = 2.6 Nm²/C

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230.4 gm of ethanol is produced in the conversion of ethanol to acetaldehyde and the molar mass of sugar is 180,16 g/mol.

Fermentation is a metabolic process that converts sugar to acids, gases or alcohol. It occurs in yeast and bacteria, and also in oxygen-starved muscle cells, as in the case of lactic acid fermentation. Fermentation is also used more broadly to refer to the bulk growth of microorganisms on a growth medium, often with the goal of producing a specific chemical product like enzyme, vaccines, antibiotics, food product/additive etc.

Pyruvate is CH3COCOO−  is inorganic phosphate. Two ADP molecules and two Pi are converted to two ATP and two water molecules via substrate-level phosphorylation. Two molecules of NAD+ are also reduced to NADH.

In oxidative phosphorylation the energy for ATP formation is derived from an electrochemical proton gradient generated across the inner mitochondrial membrane (or, in the case of bacteria, the plasma membrane) via the electron transport chain. Glycolysis has substrate-level phosphorylation (ATP generated directly at the point of reaction).

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92.14 gm ethanol will be produced, if 180.16 grams of sugar was used in the alcohol fermentation reaction.

Alcohol fermentation is the breakdown reaction of sugar in the absence of oxygen, to produce wine(ethanol) and carbon dioxide. Following reaction takes place:

C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂

Chemical formula of the sugar is C₆H₁₂O₆,

Chemical formula of ethanol is C₂H₅OH

Atomic weight of sugar = (12×6 + 12×1 + 16×6) =  180 gm/mole

Atomic weight of ethanol = (12×2 + 5×1 +16+1) = 46 gm/mole

180 gm of sugar makes one mole, which produces 2 moles of ethanol.

So the weight of ethanol produced will be 2 × 46.07 = 96.14 gm

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The acceleration of the car in three significant figures is 0.181 m/s².

The acceleration of the car is calculated by applying the following kinematic equation as shown below.

v² = u² + 2as

where;

The given parameters include the following;

the final velocity of the car = 2 m/s

the distance travelled by the car = 11 m

The acceleration of the car is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

a = v² / 2s

a = ( 2² ) / ( 2 x 11 )

a = 0.181 m/s²

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Answer:

scalar

Explanation:

it has only magnitude and no direction (vector has both)

He will reportedly swear an oath to speak the truth for this obligation, which MOST likely includes.

Fingerprints, blood test, DNA, a knife, a pistol, and other tangible things are examples of genuine evidence. Real evidence is often allowed into court because it has the power to support or refute a claim of fact during a trial.

The purpose of evidence is to persuade the jury or judge of the issues involved. Additionally, evidence might be a tangible object or any declarations of fact that were already made at trial to prove the veracity of the subject of the inquiry.

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The acceleration of the object is 4 m/s².

We know that, the relationship between velocity and acceleration

Acceleration (a) = Rate of change in velocity

or a = dv/dt

so, acceleration = slope of a velocity vs. time graph

a = [tex]\frac{v2-v1}{t2-t1}[/tex]

when t=0, v = 0 and when t = 5sec, v = 20 m/s

or a = [tex]\frac{20-0}{5-0}[/tex]

a = 4 m/s²

Therefore, the acceleration of the object is 4 m/s².

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When the monitoring instrument develops an inability to average, steps need to be taken including all except C: 'Consult with the anesthesiologist anesthesia changes'.

Anesthesiologists are medical doctors like family doctors and surgeons. They specialize in pain management, anesthesia care, and critical care medicine as well as have the knowledge vital to understanding and treating the human body as a whole.

So when the monitoring instrument develops an inability to average, there is no need to consult with the anesthesiologist. The required steps that need to be taken would  include:

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In the circular motion, the system is open, because a net force is exerted on the ball as it travels in a circle. Option B

We know that the term circular motion would have to do with the kind of motion that is occurring in a circular path. We have to know that the velocity of the object may be constant but the object may still be said to be accelerating.

Given the fact that we know that the acceleration of the ball is not the same at all the points of the circle as we can see it then it follows that the system is an open system as the net force acts on it.

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It is more difficult to start a train moving due its larger mass that will produce a smaller acceleration compared to an average sized car for an equal applied force.

Also is more difficult to bring a train to a stop than an average sized car, because the train exerts a larger force than the average sized car.

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless an external force acts on the object and the object will move in the direction of the applied force.

Newton's first law of motion is known as inertia because, it depends on the mass of the object.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

Mathematically, the formula for Newton's second law of motion is given as;

F = ma

where;

The acceleration of an object is determined from Newton's second law of motion;

a = F / m

Thus, from the equation above, the greater the mass of an object, the smaller the acceleration of the object for a constant force.

Also an object with a large mass such as a train will require large force of friction to be brought to rest since the force exerted by the train will be great due to its large mass.

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If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.

A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.

If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.

In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.

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Answer: A

Explanation:

Because of the law of conservation of momentum (total momentum of two golf balls must be constant).

The maximum angle that the magazine rack can be tilted without falling over depends on its centre of gravity, base width, and the surface it is resting on.

To determine the maximum angle, you can use the formula:

tan(angle) = (centre of gravity height) / (base width/2)

Plugging in the values given, we get:

tan(angle) = 16cm / (5cm/2) = 16cm / 2.5cm = 6.4

The inverse tangent function (tan^-1) can be used to find the angle in degrees:

angle = tan^-1(6.4) = 72.9 degrees

So the maximum angle that the magazine rack can be tilted without falling over is about 73 degrees.

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To find the volume of a box, simply multiply length, width, and height.

Formula of volume:

volume is length × width × height.

Units of Measure:

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Magnetic Field:

A magnetic field is the vector field that depicts how the magnetic force is distributed within or around a certain magnetic substance. The magnetic field, which consists of closed loops, travels from the North Pole to the South Pole.

Given Data:

The charge on the proton is:

q = 1.6 × 10⁻¹⁹ C

The mass of the proton is:

m = 1.67 × 10⁻²⁷ Kg

The distance by which the magnetic field extends is:

D = 0.44 m

The velocity of proton in x direction is:

vₓ = 5.1 × 10⁵ m/s

The velocity of proton in y direction is:

v = 2.7 × 10⁵ m/s

Answer and Explanation:

(1):The expression for the resultant velocity when the proton enter the magnetic field is,

[tex]v = \sqrt{v_{x^2} +v_{y^2}}[/tex]

Substitute the values in above expression.

[tex]v = \sqrt({5.1 * 10^{5} m/s} )^{2} + ({2.7 * 10^{5} m/s} )^{2}[/tex]

[tex]v = 5.8 * 10^{5} m/s[/tex]

Thus, the resultant velocity when the proton enter the magnetic field is [tex]v = 5.8 * 10^{5} m/s[/tex]

(2): The expression for the angle of inclination of proton is,

tanΘ =  [tex]\frac{v_{x} }{v_{y} }[/tex]

Substitute the values in above expression.

tanΘ =  [tex]\frac{2.7 * 10^{5 }m/s }{5.1 * 10^{5} m/s}[/tex]

= tan⁻¹(0.53)

Θ= 27.92°

The expression for the radius of curvature is,

[tex]R = \frac{D}{sin \theta}[/tex]

Substitute the values in above expression.

R= [tex]\frac{0.44 m}{sin 27.92}[/tex]

R≈ 0.94 m

Thus the radius of curvature is 0.94 m

(3): The expression for the y coordinate of proton is,

[tex]h = R -\frac{D}{tan \theta}[/tex]

Substitute the values in above expression.

[tex]h = 0.94 m -\frac{0.44 m}{tan \ 27.92}[/tex]

[tex]h=0.11 m[/tex]

Thus, the y coordinate of proton is 0.11 m

(4): The expression for the z component of the magnetic field is,

[tex]B_{z} =\frac{m*v}{q*R}[/tex]

Substitute the values in above expression.

[tex]B_{z} =\frac{(1.6 * 10^{-27 }kg) *(5.8*10^{5}m/s ) }{1.6*10^{-19} *0.94 m}[/tex]

[tex]B_{z} =6.44 * 10^{-3} kg/C.s[/tex]

Thus, the z component of the magnetic field is [tex]6.44 * 10^{-3} Kg/C.s[/tex]

(5): The radius of curvature would rise by the same amount if the velocity were increased because R varies linearly with v. The angle of incidence also lowers as the radius of curvature increases. The displacement h likewise decreases as the angle narrows.

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Answer:

5/2

Explanation:

Slope = (y2-y1)/(x2-x1)

= (11-6)/((5-3)

= 5/2

Answer:

force needed for the bus to go round the corner is 50,000 N.

Explanation:

To find the force needed for the bus to go round the corner, we can use the formula for centripetal force:

F = (mv^2)/r

where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

Plugging in the values given in the problem, we get:

F = (2500 kg)(5 m/s)^2 / 50 m

= 50,000 N

So the force needed for the bus to go round the corner is 50,000 N.

Star C will have the shortest maximum wavelength with a wavelength of 3.623 x 10⁻⁷ m

According to Wien's Law, the maximum wavelength of a star's radiation depends on its temperature. The formula for Wien's Law is:

λ_max = 2.898 x 10⁻³ / T

where λ_max is the maximum wavelength in meters, and T is the temperature in Kelvin.

Plugging in the temperatures for the three stars:

Star A: λ_max = 2.898 x 10^-3 / 3000 = 9.66 x 10⁻⁷ m

Star B: λ_max = 2.898 x 10^-3 / 5000 = 5.796 x 10⁻⁷ m

Star C: λ_max = 2.898 x 10^-3 / 8000 = 3.623 x 10⁻⁷ m

So, Star C would have the shortest maximum wavelength.

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The scientific definition of energy that reflates it to work is: the ability to use the stored potential of an object.

In physics, energy is the ability to perform work. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc.

Additionally, there is heat and work, which is energy being transferred from one body to another. Energy is always assigned based on its nature once it has been transmitted.

So, scientifically  energy is the ability to use the stored potential of an object.

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On a speed-time graph, the line representing the motion of the car would be a straight line with a positive slope. This is because the speed of the car is increasing, so the line on the graph would slope upwards from left to right.

On a distance-time graph, the line representing the motion of the car would also be a straight line, but with a slope that is greater than that of the line on the speed-time graph.

This is because distance is the product of speed and time, so if the speed of the car is increasing, the distance traveled by the car will also be increasing at an increasing rate. The line on the distance-time graph will therefore have a steeper slope than the line on the speed-time graph.

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The energy sources come from the sun. We get solar heat energy from the sun.

The energy of the sun is the primary source of most of the energy found on earth. and sunlight can also be used to make electricity from solar (photovoltaic) cells. The sun heats the earth's exterior and the Earth heats the air above it, beginning wind.

Solar energy is created by nuclear fusion that takes a spot in the sun. Fusion happens when protons of hydrogen atoms fiercely collide in the sun's core and fuse to generate a helium atom. This procedure, known as a PP (proton-proton) chain reaction, emits an enormous quantity of energy.

So we can conclude that We get solar heat energy from the sun, and sunlight can also be used to make electricity from solar.

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Thrusters on a spacecraft work in the vacuum of space as there is nothing for the thrusters to push against because since there is no atmosphere in space, the exhaust gases can exit much easier and faster, thus increasing the thrust.

This is referred to as a type of mechanical force which moves an aircraft through the air.

Air tends to inhibit the exhaust gases getting out of the engine on earth and reduces the thrust but in space since there is no atmosphere, which is therefore the reason why the exhaust gases can exit much easier and faster, thus increasing the thrust.

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