You and a friend work in buildings five equal-length blocks apart, and you plan to meet for lunch. Your friend strolls leisurely at 1.2 m/s, while you like a brisker pace of 1.6 m/s. Knowing this, you pick a restaurant between the two buildings at which you and your friend will arrive at the same instant if both of you leave your respective buildings at the same instant. In blocks, how far from the wife’s building is the restaurant?

Answer:

69.74 N

Explanation:

We are given that

Weight of sled=49 N

Coefficient of kinetic friction[tex],\mu_k=0.11[/tex]

Weight of person=585 N

Total weight==mg=49+585=634 N

We know that

Force needed to pull the sled across the snow at constant speed,F=Kinetic friction

[tex]F=\mu_k N[/tex]

Where N= Normal=mg

[tex]F=0.11\times 634=69.74 N[/tex]

Hence, the force is needed  to pull the sled across the snow at constant speed=69.74 N

Answer:

[tex]F_s=1075.9493\ N[/tex]

Explanation:

Given:

Now, using Pascal's law which state that the pressure change in at any point in a confined continuum of an incompressible fluid is transmitted throughout the fluid at its each point.

[tex]P_s=P_l[/tex]

[tex]\frac{F_s}{a_s}=\frac{W_l}{a_l}[/tex]

[tex]\frac{F_s}{0.075} =\frac{3400}{0.237}[/tex]

[tex]F_s=1075.9493\ N[/tex] is the required effort force.

Answer:

   F = 1076 N

Explanation:

given,

small piston area, a = 0.075 m²

large piston area, A = 0.237 m²

weight on the large piston, W = 3400 N

force applied on the second piston, F = ?

using pascal law for the force calculation

[tex]\dfrac{F}{W}=\dfrac{a}{A}[/tex]

[tex]\dfrac{F}{3400}=\dfrac{0.075}{0.237}[/tex]

   F = 0.3165 x 3400

   F = 1076 N

The force applied to the small piston in order to lift the engine is equal to 1076 N.

Answer: a. F doubled

b. F reduced by one-quarter i.e

1/4*(F)

c. 1/9*(F)

d. F increased by a factor of 4 i.e 4*F

e. F reduces 3/4*(F)

Explanation: Coulombs law states the force F of attraction/repulsion experience by two charges qA and qB is directly proportional to thier product and inversely proportional to the square of distance d between them. That is

F = k*(qA*qB)/d²

a. If qA is doubled therefore the force is doubled since they are directly proportional.

b. If qA and qB are half, that means thier new product would be qA/2)*qB/2 =qA*qB/4

Which means the product of charge is divided by 4 so the force would be divided by 4 too since they are directly proportional.

c. If d is tripped that is multiplied by 3. From the formula new d would be (3*d)²=9d² but force is inversely proportional to d² so instead of multiplying by 9 the force will be divided by 9

d. If d is cut into half that is divided by 2. The new d would be (d/2)²=d²/4. So d² is divided by 4 so the force would be multiplied by 4

e. If qA is tripled that is multiplied by 3. F would be multiplied by 3 also, if at the same time d is doubled (2*d)²= 4*d² . Force would be divided by 4 at same time. So we have,

3/4*F

Coulomb's Law explains how changes in charge and distance affect the electric force between two charges.

Coulomb's Law states that the force between two charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Let's analyze the given scenarios:

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Explanation:

Electric field is the ratio of force and charge.

Force, F = 6 x 10⁻⁶ N

Charge, q = 3.53 x 10⁻⁸ C

We have           

       [tex]E=\frac{F}{q}\\\\E=\frac{6\times 10^{-6}}{3.53\times 10^{-8}}\\\\E=169.97N/C[/tex]

Electric field at the location of the charge is 169.97 N/C

Answer:

Change in potential energy, [tex]U=1.2\times 10^8\ J[/tex]

Explanation:

Given that,

The potential difference between a storm cloud and the ground is 100 million V, [tex]V=100\ million V=100\times 10^6\ V=10^8\ V[/tex]

If a charge of 1.2 C flashes in a bolt from cloud to Earth, q = 1.2 C

We need to find the change of potential energy of the charge. The relation between the potential difference and the potential energy of the charge is given by :

[tex]U=qV[/tex]

U is the potential energy of the charge

[tex]U=1.2\times 10^8\ J[/tex]

So, the change of potential energy of the charge is [tex]U=1.2\times 10^8\ J[/tex]. Hence, this is the required solution.

According to the question,

                                                = 100×10⁶ V

                                                = 10⁸ V

The change in Potential energy:

→ [tex]U = qV[/tex]

By substituting the values, we get

      [tex]= 1.2\times 10^{8} \ J[/tex]

Thus the above response is right.

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According to Prof. Bill Baker, the freedom of practicing professionals to make ethical decisions may not be worth unless they use a patterned approach for the sake of people and society and their welfare. This is true statement.

Answer: Option A

Explanation:

Ethical Decisions and their impact on society

When we talk about the professional fields; Engineers and Doctors comes first in our minds. The professional fields and persons make the roots of an ideal society for which they must take ethical decisions surely worth for the society.

The society has a right to expect ethical conduct from professionals. The conduct of taking ethical decisions must involve reasoning, planning and well execution. According to the Association for Practical and Professional Ethics, there are certain moral values that one must apply while practicing ethical decisions.

Answer: The magnitude of the Electric Field at the centre of both plastic would be equal to Zero {i.e E =0}

Explanation: A plastic either full circle or half is an insulator, and the charges in an insulator cannot move around.

Therefore, thier electric potential p(r) = 0.

Recall that,

Electric field intensity E = first derivative of p(r) with respect to r ( radius).since p(r) = 0, E = 0 inside both plastic.

Final answer:

The electric field at the center of the half ring has a greater magnitude than that of the full ring because the full ring's symmetric charge distribution cancels the field out, while the half ring's electric field remains unopposed.

Explanation:

To determine which electric field at the center has the greater magnitude between a full ring and a half ring with the same radius and charge density, we must analyze the symmetrical distribution of charges. In the case of a full ring, the charges are evenly distributed around the ring, resulting in a net electric field at the center that cancels out due to symmetry. However, for a half ring, the symmetry is broken, and there is a net electric field at the center directed away from the flat side of the half ring, because there are no opposing charges to cancel the field out. Therefore, the electric field at the center of the half ring has a greater magnitude than that at the center of the full ring, which is effectively zero.

Answer:

Aristotle.

Explanation:

Aristotle is known as the father of rhetoric and it was actually his concept that the rhetoric is just the means of communications and persuade.

Answer:

 KE = 1.75 J

Explanation:

given,

mass of ball, m₁ = 300 g = 0.3 Kg

mass of ball 2, m₂ = 600 g = 0.6 Kg

length of the rod = 40 cm = 0.4 m

Angular speed = 100 rpm= [tex] 100\times \dfrac{2\pi}{60}[/tex]

                         =10.47\ rad/s

now, finding the position of center of mass of the system

    r₁ + r₂ = 0.4 m.....(1)

 equating momentum about center of mass

  m₁r₁ = m₂ r₂

   0.3 x r₁ = 0.6 r₂

   r₁ = 2 r₂

Putting value in equation 1

2 r₂ + r₂ = 0.4

 r₂ = 0.4/3

 r₁ = 0.8/3

now, calculation of rotational energy

[tex]KE = \dfrac{1}{2}I_1\omega^2+\dfrac{1}{2}I_2\omega^2[/tex]

[tex]KE = \dfrac{1}{2}\omega^2 (I_1 +I_2)[/tex]

[tex]KE = \dfrac{1}{2}\omega^2 (m_1r_1^2 +m_2r^2_2)[/tex]

[tex]KE = \dfrac{1}{2}\times 10.47^2(0.3\times (0.8/3)^2 +0.6\times (0.4/3)^2)[/tex]

 KE = 1.75 J

the rotational kinetic energy is equal to 1.75 J

The total rotational kinetic energy of the balls is 1.78 J.

The given parameters;

The angular speed of the balls is calculated as follows;

[tex]\omega = 100 \ \frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{1 \min}{60 \ s } \\\\\omega = 10.47 \ rad/s[/tex]

The radius of the balls is calculated as;

[tex]r_1 + r_2 = 0.4[/tex]

The torque on the rod due to each is calculated as;

[tex]F_1r_1 = F_2 r_2\\\\m_1 gr_1 = m_2 g r_2\\\\m_1 r_1 = m_ 2r_2\\\\r_2 = \frac{m_1r_1}{m_2} \\\\r_2 = \frac{0.3 r_1}{0.6} \\\\r_2 = 0.5r_1[/tex]

solve for the radius;

[tex]r_1 + 0.5r_1 = 0.4\\\\1.5r_1 = 0.4\\\\r_1 = \frac{0.4}{1.5} \\\\r_1 = 0.267 \ m\\\\r_2 = 0.5(0.267)\\\\r_2 = 0.133 \ m[/tex]

The moment of inertia of each ball is calculated as follows;

[tex]I_1 = m_1 r_1^2 = 0.3 \times (0.267)^2 = 0.0214 \ kgm^2\\\\I_2 = m_2 r_2^2= 0.6 \times (0.133)^2 = 0.011 \ kgm^2[/tex]

The total rotational kinetic energy of the balls is calculated as follows;

[tex]K.E = \frac{1}{2}I_1 \omega^2 \ + \ \frac{1}{2}I_2 \omega^2 \\\\K.E = \frac{1}{2} \omega^2(I_1 + I_ 2)\\\\K.E = 0.5 \times (10.47)^2 (0.0214 + 0.011)\\\\K.E = 1.78 \ J[/tex]

Thus, the total rotational kinetic energy of the balls is 1.78 J.

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Answer:

The speed of the mass M is 7.2 meters per second

Explanation:

In this case because there aren't external forces on the system blocks-spring and the spring is light we should apply the conservation of linear momentum (P) that states:

[tex]\overrightarrow{p}_{f}+\overrightarrow{p}_{i}=0 [/tex] (1)

Momentum is mass (m) times velocity (v) ([tex] \overrightarrow{p}=m\overrightarrow{v}[/tex] (2)) and Initial momentum [tex] \overrightarrow{p}_{i} [/tex] is zero because the blocks are released form rest, so (1) is:

Using (2) on (1):

[tex]\overrightarrow{p}_{f}=M\overrightarrow{v_{M}}+3M\overrightarrow{v_{3M}}=0 [/tex] (3)

It's important to note that momentum and velocity are vector quantities so we should take care of directions, assuming right direction as positive, velocity of 3M mass is positive, and velocity of M mass is negative, (3) is:

[tex]M(-v_{M})+3M(v_{3M})=0 [/tex]

solving for [tex]v_{M}[/tex]

[tex] M(v_{M})=3M(v_{3M})[/tex]

[tex] v_{M}=\frac{3M(v_{3M})}{M}=\frac{3(2.4)}{1}[/tex]

[tex]v_{M}=7.2\frac{m}{s} [/tex]

Answer: these regions of darkness are due to no stars being in these regions of the night sky

Answer:

2.57832 atm

Explanation:

[tex]P_1[/tex] = Initial pressure = 2.1 atm

[tex]P_2[/tex] = Fianl pressure

[tex]T_1[/tex] = Initial Temperature = (21+273.15) K

[tex]T_2[/tex] = Final Temperature = (88+273.15) K

From Gay-Lussacs law we have

[tex]\dfrac{P_1}{T_1}=\dfrac{P_2}{T_2}\\\Rightarrow P_2=\dfrac{P_1\times T_2}{T_1}\\\Rightarrow P_2=\dfrac{2.1\times (88+273.15)}{21+273.15}\\\Rightarrow P_2=2.57832\ atm[/tex]

The final pressure would be 2.57832 atm

Answer:

2.58 atm

Explanation:

P1 = 2.1 atm

T1 = 21 °C = 294 K

T2 = 88 °C = 361 K

P2 = ?

By using the gas laws

P / T = constant keeping the volume constant.

P1 / T1 = P2 / T2

2.10 / 294 = P2 / 361

P2 = 2.58 atm

Thus, the pressure becomes 2.58 atm.

Answer:

Explanation:

Check the attachment for solution

Answer: The final speed of the incoming ball is approximately 200m/s

Explanation:

Using the law of conservation of momentum.

m1(u1) + m2u2 = m1v1 + m2v2

And also law of conservation of kinetic energy for elastic heads on collision we can derive the formula for elastic heads on collision which is given below:

For elastic heads on collision.

v1 = [( m1 - m2)/(m1+m2)] u1 ......1

v2 = [(2m1)/(m1+m2)]u1 ......2

Where,

m1 and m2 are the mass of the incoming and stationary ball respectively.

u1 and u2 are the initial speed of the incoming and stationary ball respectively.

v1 and v2 are the final speed of the incoming and stationary ball respectively.

a) to determine the final speed of the incoming ball using equation 1

v1 = [( m1 - m2)/(m1+m2)]u1

Since m1 >> m2

m1 - m2 ~= m1 and m1 +m2 ~= m1

So, equation 1 becomes

v1 ~= [m1/m1]u1

v1 ~= u1

Since u1 = 200m/s

v1 ~= 200m/s

Additional tips: using equation 2 we can derive the approximate final speed of the stationary ball following the same assumptions. If well solved v2 = 2u1 = 400m/s

Answer:

For  the pendulum , yes and for the spring ,No

Explanation:

We will examine the two cases,

For pendulum;

[tex]T =2\pi \sqrt{\frac{l}{g} }[/tex]

we see that for a pendulum, the period depends on the gravitational acceleration of the region it is. so the period for earth will differ compared to that of the moon.

For a spring;

[tex]T=2\pi \sqrt{\frac{m}{k} }[/tex]

form the equation above is obvious that the period of a spring in vibration is independent of gravitational acceleration of the region it is.

The mass of the bob has no effect on the motion of a pendulum; the period of vibration is determined by the pendulum's length and the acceleration due to gravity.

The movement of the pendula will not differ at all because the mass of the bob has no effect on the motion of a simple pendulum. The pendula are only affected by the period (which is related to the pendulum's length) and by the acceleration due to gravity.

The amplitude where two pulses cross on a string rigidly attached to a post is momentarily zero due to destructive interference. However, when the end is free to move and two pulses cross, they superimpose constructively, resulting in a combined amplitude of 86 cm.

When Anthony sends a series of pulses of amplitude 43 cm down a string tied to a post:

(a) If the string is rigidly attached to the post, the reflected pulse inverts. Therefore, when two pulses of the same amplitude cross, they interfere destructively at the instant they coincide and the amplitude at the point of crossing is momentarily zero. However, since they're not lasting interactions, the amplitude of each pulse remains 43 cm before and after crossing.

(b) If the end is free to slide up and down, the reflected pulse does not invert and remains in phase with the incident pulse. Now, as two pulses of the same amplitude (43 cm) cross, they temporarily superimpose constructively, resulting in a combined amplitude of 86 cm, which is the sum of their individual amplitudes.

The phenomenon described here is a demonstration of wave interference, specifically in the context of reflected transverse waves on a string. It shows the distinct difference between reflections from fixed end (inverting) and free end (non-inverting) boundaries.

For a rigidly attached end, the amplitude is 0 cm due to destructive interference, while for a free boundary, it is 86 cm due to constructive interference.

When dealing with wave pulses on a string, the amplitude of the resulting wave at a point where two pulses are crossing depends on the boundary conditions at the end of the string.

When the string is rigidly attached, the reflected pulse inverts upon reflection. This means that the original pulse and the reflected pulse will be out of phase by 180 degrees when they meet. If the amplitude of each pulse is 43 cm, the resulting amplitude at the point of crossing will be zero (43 cm - 43 cm = 0 cm) due to destructive interference.

When the end at which reflection occurs is free to move up and down (a free boundary condition), the reflected pulse remains in phase with the incident pulse. Therefore, the amplitudes add constructively. Hence, at the crossing point, the resulting amplitude will be the sum of the individual amplitudes: 43 cm + 43 cm = 86 cm.

In summary, the conditions at the end of the string determine whether the interference is constructive or destructive, affecting the amplitude at the crossing point of two pulses.

Answer:

4.88505 m/s

1.21629 m

Explanation:

[tex]m_1[/tex] = Mass of bullet = 2.5 g

[tex]m_2[/tex] = Mass of block = 215 g

[tex]v_1[/tex] = Velocity of bullet = 425 m/s

[tex]v_2[/tex] = Velocity of block

Here, the linear momentum is conserved

[tex]m_1v_1+m_2v_2=(m_1+m_2)v\\\Rightarrow v=\dfrac{m_1v_1+m_2v_2}{m_1+m_2}\\\Rightarrow v=\dfrac{2.5\times 10^{-3}\times 425+0.215\times 0}{2.5\times 10^{-3}+0.215}\\\Rightarrow v=4.88505\ m/s[/tex]

The speed of the combination of mass is 4.88505 m/s

The energy in the system is conserved

[tex]\dfrac{1}{2}(m_1+m_2)v^2=(m_1+m_2)gh\\\Rightarrow h=\dfrac{v^2}{2g}\\\Rightarrow h=\dfrac{4.88505^2}{2\times 9.81}\\\Rightarrow h=1.21629\ m[/tex]

The maximum height the combined mass will reach is 1.21629 m

Answer:

Explanation:

mass of bullet, m = 2.5 g

initial velocity of bullet, u = 425 m/s

mass of block, M = 215 g

(a) Let the speed of bullet block system is v

Use the conservation of momentum

m x u + M x 0  = (M + m) x v

2.5 x 425 = ( 215 + 2.5) x v

v = 4.89 m/s

(b) Let it rise upto height h

Use conservation of energy

Kinetic energy after collision = Potential energy

1/2 (M + m) v² = ( M+ m) x gx h

0.5 x 4.89 x 4.89 = 9.8 x h

h = 1.22 m

Answer:

D. 2

Explanation:

The innermost electron shell of an atom can hold up to 2 electrons.

All the elements in the periodic table have only two electrons in their inner most shell. The only exception is hydrogen because it has only one electron.

Answer:

X is calcium and it has 21 neutrons

Explanation:

Calcium 41 is an isotope of calcium with mass number of 41 and atomic number of 20

Number of neutrons = mass number - number of electrons

The number of electrons is the same as the atomic number of the element (calcium)

Number of neutrons = 41 - 20 = 21

Answer:

22826.09 m/s

Explanation:

From the law of conservation of momentum,

Sum of momentum before collision = sum of momentum after collision.

For an inelastic collision, the train and the superman have a common velocity

Note: For the superman to stop the train in an opposite direction, the common velocity after collision is zero, and such the total momentum after collision is zero

Therefore,

MU + mv = 0

MU = - mu............................................ Equation 1

Making u the subject of the equation

u = -MU/m......................................... Equation 2

Where M = mass of the train, U = initial velocity of the train, m = mass of the super man, u = initial velocity of the superman.

Given: M = 75000 kg, U = 35 m/s, m = 115 kg.

u = -(75000×35/115)

u = -22826.09 m/s

Note: The velocity is negative because the direction of the superman is opposite the direction of the train.

Hence the superman have to fly 22826.09 m/s in the opposite direction

Using the principle of conservation of momentum, Superman needs to fly approximately at a velocity of 22826 m/s in the opposite direction  to stop the train.

To stop the train, Superman needs to exert a force equal to the force being exerted by the train in the opposite direction. Using Newton's second law (F=ma), we can calculate the force needed to stop the train. The force needed can be found by multiplying the mass of the train by its acceleration, which is the change in velocity divided by the time taken to stop. In this case, the initial velocity of the train is given as 35 m/s and it needs to come to a stop, so the change in velocity is 35 m/s.

The question is asking how fast Superman must fly in the opposite direction to stop a moving train using the physics principle of conservation of momentum. In Physics, momentum is calculated using the equation momentum = mass * velocity. Since the train and Superman will collide and stop (an inelastic collision) total momentum before the collision should equal total momentum after the collision. Thus, the velocity of Superman equals (mass of train * velocity of train)/ mass of Superman, i.e., (75000 kg * 35 m/s) / 115 kg which is approximately 22826 m/s in the opposite direction.

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Answer:

C) 1.8×10⁵ N/C.

Explanation:

Electric field: This can be defined as the region where electric force is experienced.

Electric Field intensity: This is defined as the force per unit charge which it exert at that point.

The S.I unit of electric field is N/C.

Mathematically, Electric Field intensity can be represented as,

E = kq/r².................... Equation 1

Where E = electric field intensity, q = charge, r = distance. k = proportionality constant.

Given: q = 8.0 nC = 8×10⁻⁹ C, r = 2.0 cm = 0.02 m, k = 8.99×10⁹ Nm²/C²

Substituting into equation 1

E = (8.99×10⁹×8×10⁻⁹)/0.02²

E = 71.92/0.0004

E = 1.798×10⁵ N/C.

E ≈ 1.8×10⁵ N/C.

The right option is C) 1.8×10⁵ N/C.

Answer:

The average atomic mass can be calculated from the exact atomic mass of each isotope by multiplying the mass each isotope by its relative abundance and then finding the sum of the result.

for example carbon has two major isotopes ;carbon 12 ,atomic mass  with relative abundance of 98.9% and carbon  13 , atomic mass of   with relative abundance 1.1%. The relative atomic mass is calculated below.

[tex]RAM = 12*\frac{98.9}{100}+13.003355 *\frac{1.1}{100}[/tex]

RAM=11.868 + 0.143036905

RAM=12.011036905amu

Answer:

A water molecule can bond to up to four other water molecules by hydrogen bonds.

Explanation:

A water molecule has angular structure about the oxygen atom which has 2 lone pair of electrons in a water molecule. Due to the repulsion of lone pairs we get the angle between the H---O bond as 109.47°.

Each of the hydrogen atom of water attracts one water molecule and the partial negative on the oxygen atom attracts two more water molecules form the electron deficit side to form a pentamer of tetrahedral structure placing itself at the center of the geometry and the bonded molecules at the vertices.

A hydrogen bond is an intermolecular bond. A water molecule bonds up to 4 water molecules by the hydrogen bond.

Therefore, a water molecule bonds up to 4 water molecules by the hydrogen bond.

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Answer:

ρ_ x > ρ_ y

Explanation:

The pressure in a fluid depends on its depth with the equation

          P = ρ g h

For two points at the same depth there may be several possibilities,

- the pressure is the same if the density of the fluid is equal in the two points

- The pressure is different if the fluid density is different at each point

In this case, as the point x has greater pressure than the point, the density of the fluid in Des is greater than the density of the fluid in Y

        ρ_ x > ρ_ y

Final answer:

The magnitude of the acceleration of the speed skater on the rough ice is 2.8 m/s², calculated using the equation of motion.

Explanation:

To find the magnitude of the acceleration of the speed skater on the rough ice, we can use the equation of motion: v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the displacement (width of rough ice).

Given that the skater's initial velocity (u) is 8.0 m/s, her final velocity (v) is 6.0 m/s, and the width of the rough ice (s) is 5.0 m.

Rearranging the equation for acceleration, we get a = (v^2 - u^2) / (2s). Substituting the given values, a = (6.0^2 - 8.0^2) / (2 * 5.0) = (-28) / 10 = -2.8 m/s2. The negative sign indicates deceleration, but since the question asks for the magnitude, the acceleration is 2.8 m/s2.

Answer:

The Piccolo have higher frequency than Flute.

Explanation:

given,

length of the tube, L = 66 cm

length of the piccolo, L'= 32 cm

speed of sound = 343 m/s

A flute is open open tube with a fundamental frequency of ;

[tex]f = \dfrac{v}{2L}[/tex]

[tex]f = \dfrac{343}{2\times 0.66}[/tex]

  f = 260 Hz

A piccolo is also an open open tube so, fundamental frequency is:

[tex]f = \dfrac{v}{2L}[/tex]

[tex]f = \dfrac{343}{2\times 0.32}[/tex]

  f = 536 Hz

from the above calculation we can clearly see that the  piccolo have much higher frequency than the flute.

now, The Piccolo have higher frequency than Flute.

Answer:

[tex]N_{y} =Ncos[/tex]Ф,

[tex]N_{x} =-Nsin[/tex] Ф

Explanation:

Now find the components NxNxN_x and NyNyN_y of N⃗ N→N_vec in the tilted coordinate system of Part B. Express your answer in terms of the length of the vector NNN and the angle θθtheta, with the components separated by a comma.

Vectors are quantities that  have both magnitude and direction while scalar quantities have only magnitude but no direction.

This a vector quantity

from the diagram the horizontal component of the length of the vector will be

[tex]N_{y} =Ncos[/tex]Ф

the vertical component will be

[tex]N_{x} =-Nsin[/tex] Ф

this is in the opposite direction because the x can be extrapolated to the negative axis

To solve the problem we must know about vectors and coordinate geometry.

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is represented as the product of its length and the component angle.

For example, F Sinθ represents the vertical component of force, with magnitude F, while the F Cosθ represents the horizontal component, and will be in the same line with the axis from which the angle is been measured.

The coordinate in the tilted coordinate will be,

[tex]N_x = N Sin\theta[/tex]

[tex]N_y = N Cos\theta[/tex]

Where N is the vector magnitude and θ is the angle from the axis of measurement.

The sign of the vector will depend upon the coordinate in which it is.

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Answer:

2 N/C direction of the force

-2N/C opposite to the direction of the force

Explanation:

E = Electric field

q = Charge

Electrical force is given by

[tex]F=Eq\\\Rightarrow E=\dfrac{F}{q}\\\Rightarrow E=\dfrac{40}{20}\\\Rightarrow E=2\ N/C[/tex]

The magnitude of the force is 2 N/C

The force acting on the charge is positive so the direction of the electric field is positive.

[tex]F=Eq\\\Rightarrow E=\dfrac{F}{q}\\\Rightarrow E=\dfrac{20}{-10}\\\Rightarrow E=-2\ N/C[/tex]

The magnitude of the force is 2 N/C

The direction of the electric field is negative and opposite to the direction of the force as the charge is negative.

To determine the magnitude and direction of an electric field, use the formula E = F/Q. For a positively charged object, the electric field has the same direction as the force. For a negatively charged object, the electric field has the opposite direction of the force.

To determine the magnitude and direction of an electric field given the charge of an object and the force exerted on it, you can use the formula: E = F/Q, where E is the electric field, F is the force, and Q is the charge.

For a positively charged object (+20.0μC) with a force of 40.0μN due east: The electric field E = F/Q = (40.0μN)/(20.0μC) = 2.0 N/C. The direction of the electric field is in the same direction as the force, due east.

For a negatively charged object (-10.0μC) with a force of 20.0μN due west: The electric field E = F/Q = (20.0μN)/(-10.0μC) = -2.0 N/C. The direction of the electric field is in the opposite direction of the force, due east, as per the convention that electric fields are directed away from positive charges or towards negative charges.

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Answer:

is in the earths orbit

Explanation:

for Suzie to hover in space beside the rotating space station, she and the center  of mass of the space station are at relative rest which happens when space station is in Earth orbit, hence she is  in the earths orbit.

The seagull dropped the clam from an approximate height of 44.1 meters above the ground. This was calculated using the physics formula for the height of a dropped object, considering the acceleration due to gravity.

The subject of the question falls under Physics and it's related to the concept of gravitational acceleration. To calculate the height from which the seagull dropped the clam, we can use the physics formula for the height of a dropped object which is h = 0.5 * g * t^2.

Here, 'g' represents the acceleration due to gravity and has an approximate value of 9.8 m/s2, and 't' represents the time in seconds which is given as 3.0 seconds. So, inserting these values into the equation, we getThe seagull dropped the clam from an approximate height of 44.1 meters above the ground. This was calculated using the physics formula for the height of a dropped object, considering the acceleration due to gravity.

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Answer:

U₂=45 kJ

Explanation:

Given Data

Initial Energy U₁=19.5 kJ

Qin=30 kJ

Win=500 N.m

Qout= 5 kJ

To find

Final energy U₂

Solution

From The first law of thermodynamic

ΔE = Ein - Eout + ΔQ -ΔW

or

U₂=U₁+Qin+Win-Qout

where

U₂ is final energy

U₁ is initial energy

q = energy transferred as heat to a system

w = work done on a system

U₂=(19.5+30+500×10⁻³-5) kJ  

U₂=45 kJ

Final answer:

To calculate the final energy of a system involving heat transfer and work, first, find the net heat transfer by considering heat added and lost, and then include the work done. The first law of thermodynamics is applied to combine these energies with the initial energy to find the final energy, which is 45 kJ.

Explanation:

The question involves calculating the final energy of a system after heat transfer and work done on a closed pan of water on a stove. Given that 30 kJ of heat is transferred to the water, 5 kJ is lost to the surrounding air, and the paddle-wheel work on the system is 500 N·m (or 0.5 kJ since 1 N·m = 1 J), we can use the first law of thermodynamics to find the final energy of the system. The first law of thermodynamics states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

First, we calculate the net heat transfer (Q) to the system by subtracting the heat lost to the air from the heat supplied: Q = 30 kJ - 5 kJ = 25 kJ. Then, we add the work done on the system (which is positive because the work is done on the system, not by it): 25 kJ + 0.5 kJ = 25.5 kJ. This is the net energy input into the system.

Finally, to find the final energy of the system, we add this net input to the initial energy of the system: 19.5 kJ (initial energy) + 25.5 kJ (net input) = 45 kJ. Therefore, the final energy of the system is 45 kJ.