An archer shoots an arrow at a 74.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow.
(a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 33.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.)
°
(b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?
under
over

Answer:

Force of bug is less than the force that the bus exerts on the bug

Explanation:

Force = MA. bus has more mass so more force and bug has a lot less mass than bus. Bug accelerates in whatever direction the bus is going and the bus is not affected.

Order to ensure a message is understood requires all four option is needed.

The option will be D.All of the above.

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Considering the Ohm's law, the resistance of the lightbulb is 144.58 Ω.

The flow of electricity through an object, such as a wire, is known as current (I). Its unit of measure is amps (A). So the current is a measure of the speed at which the charge passes a given reference point in a specified direction.

The driving force (electrical pressure) behind the flow of a current is known as voltage and is measured in volts (V) (voltage can also be referred to as the potential difference or electromotive force). That is, voltage is a measure of the work required to move a charge from one point to another.

Resistance (R) is the difficulty that a circuit opposes to the flow of a current and it is measured in ohms (Ω).

Ohm's law establishes the relationship between current, voltage, and resistance in an electrical circuit.

This law establishes that the intensity of the current that passes through a circuit is directly proportional to the voltage of the same and inversely proportional to the resistance that it presents.

Mathematically, Ohm's law is expressed as:

[tex]I=\frac{V}{R}[/tex]

Where:

In this case, you know that the voltage between two points in a circuit is 120 V and there is a current of 0.83 A.

Replacing in the Ohm's Law:

[tex]0.83A=\frac{120 V}{R}[/tex]

Solving:

0.83 A× R=  120 V

[tex]R=\frac{120 V}{0.83A}[/tex]

R= 144.58 Ω

Finally, the resistance of the lightbulb is 144.58 Ω.

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According to the information, it can be inferred that the best way to distribute the chairs and mirrors is to put the light system on a wall and put the 3 mirrors and chairs in front of the light as shown in the image.

To take advantage of the light from the bulb for the three chairs and the three mirrors, the objects must be placed in such a way that all three receive enough light to be able to carry out the work of cutting the hair.

So, the best option would be to put the bulb in the middle of a wall, and place a chair and mirror in front of the bulb. The other two chairs should be located one on each side of the centered chair and the mirrors in front of each chair.

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The magnetic field strength = 8.5 x 10² T.

Solution :

the magnetic force Fm is given by

Fm= q V B sinθ

q= charge=1.4 x 10⁻⁷ C

v= velocity= 1.3 x 10⁶ m/s

B= magnetic field strength

Fm= magnetic force= 1.5 x 10² N

θ=75°

so 1.5 x 10²=(1.4 x 10⁻⁷) (1.3 x 10⁶ ) (B) sin75

B=8.5 x 10² T

Magnetic field strength: The definition of H is H = B/μ − M, where B is the magnetic flux density, a measure of the actual magnetic field within a material considered as a concentration of magnetic field lines, or flux, per unit cross-sectional area; μ is the magnetic permeability; and M is the magnetization.

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Answer: 8.5 × 10^2 T

Explanation: Edge2020

The type of synthetic material used in each object include:

These are materials which are produced in the laboratory through different types of chemical processes.

Paper is made up of polymers such as Carboxylated styrene-butadiene latex etc.

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Taking into account the definition of solvent and solute, helium is the solute and oxygen is the solvent.

The solution is a homogeneous mixture of two or more components that have the same chemical and physical properties in a single phase. A solution is made up of two main components: the solute and the solvent.

That is, the solute and the solvent are the components of a chemical solution, that is, of a homogeneous mixture that occurs when one or more substances are dissolved in another substance.

The solute is the substance that dissolves in a solution. In solution, the solute is usually found in a lower proportion than the solvent.

Solvent is the substance in which a solute dissolves, resulting in a chemical solution. Generally, the solvent is the component that is found in the highest proportion in the solution. It will always be the solvent who will determine the state of the matter that will have the solution.

In this case,  you consider that the solute is the component in less quantity and the solvent is the major component.

You know that a solution made of 15 g of oxygen and 5 g of helium. Then, helium is the solute and oxygen is the solvent.

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Answer:

The reason is to allow the thermometer to respond relatively quickly, and relatively accurately. The glass contains the liquid being used in the thermometer, but if it is too thick, then it will not pass heat as quickly, and it will absorb some of the heat from whatever is being measured.

Explanation:

˙˚ʚ(´◡`)ɞ˚˙

Answer:

50

Explanation:

Use the Pythagorean theorem to find the length of the diagonal, or the hypotenuse of an imaginary triangle. 30^2 + 40^2 = 2500, which is 50^2. So, the magnitude is 50.

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Abraham Maslow was the person who studied highly successful people and developed the hierarchy of needs. Thus, option C is correct.

Abraham Maslow was one of the most influential psychologists of the twentieth century. His work on humanistic psychology and his development in the hierarchy of needs is very popular.

According to Abraham Maslow, humans have five tiers of needs and they are food and shelter, love and belonging, esteem, safety needs, and self-actualization.

The hierarchy of needs has five basic levels. The bottom level comprises the basic needs of people like food, and shelter. Top-level comprises esteem and self-actualization.

Maslow hierarchy of needs involves the model for understanding human behavior. Hence, Abraham Maslow developed the hierarchy of needs. Thus, the correct option is C.

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The speed after it has traveled 0.400 m up the wall will be 1.77 m/sec.

From the work-energy theorem, it is stated that the net work done is equal to the change in the kinetic energy.

Given data;

Mass of book,m =5.00

Force,F = 96.0 N

Θ is the angle above the horizontal =  60°

The coefficient of kinetic friction between the book and the wall is μ =0.300.

R is the normal reaction

W₁ = Fd cosΘ

W₁=(96.0 N) (0.4 m) in 60°

W₁= 33.25 J

Work done by gravity is,

W₂ = mgdcos180°

W₂ = (5.00 kg) (9.81 m/s²)(0.4 m) cos180°

W₂ = -19.6J

The Normal force on the book by the wall is,

N = FcosΘ

N = (96 N) cos 60°

N=48 J

Work done by friction is;

W₃=μkRdcos180°

W₃=0.3)(48 J)(0.4 m) cos180°

W₃ =-5.76 J

The net work done is;

W =W₁+W₂+W₃

W=33.25-19.6-5.76

W=7.89 N

From the work-energy theorem, we have

W = ΔK

[tex]\rm W = \frac{1}{2} mv^2 - 0[/tex]

The speed is;

[tex]\rm v = \sqrt \frac{2 W}{m} \\\ v = \sqrt{\frac{2 \times 7.89} {5.00}}\\\\ v = 1.77 \ m/sec[/tex]

Hence, the speed after it has traveled 0.400 m up the wall will be 1.77 m/sec.

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The statement that best explains the movement of electric current is that the ground is positively charged and the clouds are negatively charged.

Lightning storm can be defined as the electrical outlet that occurs due to unsteadiness of the storm clouds and the ground.

Lightning storm occurs when opposite charges build up enough in the air leading to rapid discharge of electricity.

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The gravitational force on block B is twice as much as the gravitational force on block A.

Force is the product of mass and acceleration. If the mass of A is 1Kg and the mass of B is 2Kg, In order to give the masses the same horizontal acceleration, the magnitude of the force on block B must be twice as much as the force on block A.

Given that the mass of A is 1Kg and the mass of B is 2Kg, the gravitational force on block B is twice as much as the gravitational force on block A.

If I hold block A with a mass of 1 kg in one hand and block B with a mass of 2 kg in the other  and release both from the same height above the ground at the same time, the two blocks hit the ground at the same time, because they both accelerate at the same rate while falling. The greater gravitational force on block B is compensated by its greater mass, giving it the same acceleration.

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The temperature to which it must be heated in order to fit the shaft is 73.33 ⁰C.

The temperature to which it must be heated in order to fit the shaft is calculated as follows;

[tex]\frac{\Delta L}{L} = \alpha \Delta T\\\\\Delta T = \frac{\Delta L}{\alpha L}[/tex]

where;

ΔT = (0.04)/(50 x 15 x 10⁻⁶)

ΔT = 53.3 ⁰C

T₂ - T₁ = ΔT

T₂ = ΔT + T₁

where;

T₂ = 53.3 + 20

T₂ = 73.33 ⁰C

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The boat will move in a direction that is 36.86 degrees away from the velocity vector as it attempts to reach the opposite bank from where it started.

We must understand the issue with the river crossing in order to identify the solution.

                                   [tex]\alpha =sin^{-1}(\frac{V_R}{V_B} )[/tex]

                                       [tex]\alpha =sin{-1}(\frac{3}{5} )[/tex]

Thus, we can deduce that the boat will move in a direction that is 36.86 degrees away from the velocity vector as it attempts to reach the opposite bank from where it started.

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Hello!

The equation for the magnetic force experienced by a wire is:
[tex]F_B = B \times iL[/tex]

F = Magnetic force on wire (30 N)

B = Magnetic field strength (5.0i + 7.0j)

i = Current in wire (4.0 A)
L = Length of wire (? m)

This is a CROSS-PRODUCT. We can rewrite this as:
[tex]F_B = BiLsin\theta[/tex]

Where 'θ' is the angle between the magnetic field and the current carrying wire.

Therefore, we would NOT count any field that is parallel to the wire. The field does have a component (5.0i) that is along the x-axis, so we would NOT count it because the wire is along this same axis.

This leaves the 'j' component, which is PERPENDICULAR to the wire. θ would then be 90°, and sin(90) = 1.

[tex]F_B = B\hat{j} iL[/tex]

Solving for the length:
[tex]L = \frac{F_B}{B\hat{j} i}\\\\L = \frac{30}{7(4)} = \boxed{1.07 m}[/tex]

The horizontal component of the train's speed is 5.54 m/s and the vertical component's of the train's speed is  6.85 m/s.

The horizontal component of the train's speed is calculated as follows;

Vx = V cosθ

where;

Vx = 8.81 m/s x cos(51)

Vx = 5.54 m/s

Vy = 8.81 m/s x sin(51)

Vy = 6.85 m/s

Thus, the horizontal component of the train's speed is 5.54 m/s and the vertical component's of the train's speed is  6.85 m/s.

The complete question is below:

a train travels 8.81 m/s in a -51.0 direction. the train accelerates 2.23 m/s². Find the horizontal and vertical component of the train's speed.

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The butcher should balance both the meat and 0.5 kg mass on one arm of the beam balance and 2 kg mass on the other arm of the beam balance.

A beam balance can be defined as an apparatus which comprises a lever with two (2) equal arms and a bowl (pan) that is suspended from each arm, so as to measure the mass of an object.

In this scenario, the butcher should balance both the meat and 0.5 kg mass on one arm of the beam balance and 2 kg mass on the other arm of the beam balance.

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The x and y components of  the vector is 31.59 m and 29.46 m respectively.

The x component is calculated as follows;

v(x) = v cos(43)

v(x) = 43.2 m x cos(43) = 31.59 m

The y component is calculated as follows;

v(y) = v sin(43)

v(y) = 43.2 m x sin(43) = 29.46 m

Thus, the x and y components of  the vector is 31.59 m and 29.46 m respectively.

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Answer: See below

Explanation:

Part (a):

The angular speed of the Earth can be calculated as,

[tex]\omega &= \dfrac{{2\pi }}{T}\\ \omega &= \dfrac{{2\pi }}{{\left( {23 \times 3600} \right)\left( {56 \times 60} \right) + 4}}\\ \omega &= 7.29 \times {10^{ - 5}}\;{\rm{rad/s}}[/tex]

Part (b):

The linear velocity of the object can be calculated as,

[tex]v &= \omega r\sin \theta \\ v &= \left( {7.29 \times {{10}^{ - 5}}} \right)\left( {6.37 \times {{10}^6}} \right)\sin 47^\circ \\ v &= 339.62\;{\rm{m/s}}[/tex]

Part (c):

The acceleration of the object can be calculated as,

[tex]a &= \dfrac{{{v^2}}}{{r\sin \theta }}\\ a &= \dfrac{{{{339.62}^2}}}{{6.37 \times {{10}^6}\sin 47^\circ }}\\ a &= 0.024\;{\rm{m/}}{{\rm{s}}^{\rm{2}}}[/tex]

The tension in the upper rope is determined as 50.53 N.

The tension in the upper rope is calculated as follows;

T(u) = T(d)+ mg

where;

T(u) = 12.8 N + 3.85(9.8)

T(u) = 50.53 N

Thus, the tension in the upper rope is determined as 50.53 N.

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Pacific Ocean has more thermal energy and a higher temperature.

The term thermal energy refers to the energy that is possessed by a body as a result of a temperature difference between a body and its environment.

We know that the thermal energy is also dependent on the mass of a body. Therefore, the statement about thermal energy and temperature that is correct is; water in the Pacific Ocean has more thermal energy and a higher temperature.

Missing parts:

Compare a cup of hot coffee with the Pacific Ocean. Which statement about thermal energy and temperature is correct?

Water in the Pacific Ocean has more thermal energy and a higher temperature.

Water in the Pacific Ocean has less thermal energy and a lower temperature.

Water in the Pacific Ocean has less thermal energy and a higher temperature

Water in the Pacific Ocean has more thermal energy and a lower temperature.

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(1) The intensity of a sound wave is linearly proportional to the change in the pressure squared.

(2) You are able to hear sounds from farther away on a cool night because sound waves are refracted toward warmer air near the ground.

(3) When the trough of one wave collides at the same time & place of the crest of an identical wave, destructive interference occurs.

(4) The time taken for the heater to provide the energy is 300 secs.

(5) The total amount of heat provided to the ice sample is 7,980 cal.

(6) The amount of heat required to increase the temperature of water is 33,472 J.

The intensity of a sound wave is linearly proportional to the change in the pressure squared and inversely proportional to the density and the speed.

You are able to hear sounds from farther away on a cool night because sound waves are refracted toward warmer air near the ground.

When the trough of one wave collides at the same time & place of the crest of an identical wave, destructive interference occurs.

E = Power x Time

t = E/P

t = 60,000/200

t = 300 secs

Q = 79.8 cal/g x 100 g

Q = 7,980 cal

Q = 0.1 kg x 4184 J/kgC x (100 - 20)

When water vapor condense into liquid water, temperature = 100⁰C

Q = 33,472 J

Thus, the intensity of a sound wave is linearly proportional to the change in the pressure squared.

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The velocity of the mass at time, t = 1 s, is determined as 20 m/s.

The magnitude of the force experienced by the body is calculated as follows;

|F| = √(8² + 6²)

|F| = 10 N

From Newton's second law of motion;

F = ma

where;

a = F/m

a = 10 /0.5

a = 20 m/s²

v = at

v = 20 x 1

v = 20 m/s

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Answer:

Quadrant IV

Explanation:

In Quadrant IV, x is positive, and y is negative.

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The equivalent capacitance in the circuit is 15.05 F.

The two parallel plates placed at a distance apart are used to store charge when the electric supply is on.

The capacitance of a capacitor in series is given by:

Series capacitance = 1/ capacitance 1 + 1/ Capacitance2

The capacitance of a capacitor in parallel series can be calculated as:

Parallel capacitance = Capacitance 1 + Capacitance 2

In the following circuit,

C1=10.0 F,

C2=2*10.0 F,

C3=2*10.0 F,

C4=2*9.4 F, and

C5=3*9.4.

In the circuit C2 and C3 are in parallel, their equivalent capacitance is

= 2*10.0 F+2*10.0 F

= 4 *10.0 F

Then, C1 is in series with 4 *10.0 F,

So their equivalent capacitance is

=1 /{ 1/10.0 F + 1/ 4 *10.0 F}

=0.8*10.0 F

C4 and C5 are in series, their equivalent is

=1 /{ 1/2*9.4 F + 1/3*9.4 F}

=0.75*9.4 F

Now,0.8*10.0 F and 0.75*9.4 F are in parallel.

Total equivalent capacitance is Ceq = 0.8*10.0 F + 0.75*9.4 F

Ceq = 15.05 F

Thus, the equivalent capacitance in the circuit is  15.05 F.

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Answer:

See below

Explanation:

Vertical component of initial velocity  =  200 sin 35° = 114.72 m/s

then use position formula      a = 9.81 m/s^2

  0  = 300 + 114.72 t  -  1/2 (9.81)(t^2)

            use quadratic formula with a = - 4.905    b = 114.72   c = 300

              to find t = 25.76 seconds

To find the range

   ( horizontal distance the projectile lands from launch point)

Horizontal component of initial velocity    200 cos 35 = 163.83 m/s

 ( it flies horizontally at this speed for  25.76 seconds <==found above)

    163.83  m/s  *  25.76 s = 4220.3 meters

Answer:

A^2+B^2 is the scalar product of A and B

Answer:

Scalar product is equal to the magnitude a vector a times the projection of a onto vector B,