How are clouds made. plz halp

Answers

Answer 1

Answer:

A cloud is made up of liquid water droplets. A cloud forms when air is heated by the sun. As it rises, it slowly cools it reaches the saturation point and water condenses, forming a cloud. As long as the cloud and the air that its made of is warmer than the outside air around it, it floats!

Explanation:

A cloud is made up op liquid and water droplets.

Answer 2

Answer:

How are clouds made

Explanation:

When sunlight hits water it evaporates into the air and makes water droplets that we see as white fluufly clouds


Related Questions

what is the closest you can be to speaker b and be at a point of perfectly destructive interference?

Answers

The closest you can be to speaker B and be at a point of perfectly destructive interference- 1.008m.

The wavelength of sound emitted by speakers

= velocity / frequency

= 344 / 172

= 2 m

For destructive interference , path difference is equal to odd multiple of  half the wavelength .

path difference = 2 / 2 = 1 m

d₂ - d₁ = 1 m

d₂ = d₁ + 1 m

d₂ = .008 m + 1

 d₂ = 1.008 m

So, the closest you can be to speaker B and be at a point of perfectly destructive interference- 1.008m.

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The complete question is:

Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 172 HzHz. You are 8.00 mm from speaker A. Take the speed of sound in air to be 344 m/sm/s. What is the closest you can be to speaker B and be at a point of perfectly destructive interference?

The bronsted-lowry model focuses on the transfer of _______ in an acid-base reaction.
a) electrons h
b) oh- neutrons
c) orbitals

Answers

The Bronsted-Lowry model focuses on the transfer of H⁺ in an acid-base reaction.

What is the Bronsted-Lowry theory?

According to the Bronsted-Lowry theory, often known as the proton theory of acids and bases, any substance that can transfer a proton to another substance is an acid, and the substance that accepts the proton is a base. Because it makes up the nucleus of a hydrogen atom, a proton is a nuclear particle with a unit positive electrical charge; it is denoted by the symbol H⁺.

The Bronsted-Lowry scheme states that an object can only act as an acid in the presence of a base and that an object can only act as a base in the presence of an acid. In addition, when a basic substance obtains a proton, it generates an acid known as the conjugate acid of a base, and when an acidic substance loses a proton, it forms a base known as the conjugate base of an acid.

I understand the question you are looking for is this:

The Bronsted-Lowry model focuses on the transfer of _______ in an acid-base reaction.

a. neutrons

b. OH-

c. H+

d. orbitals

e. electrons

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use conservation of energy to find the angular velocity ω of the wheel when the wheel is fully unwound. (remember that the rotational energy is erot

Answers

To find the angular velocity (ω) of a fully unwound wheel using the conservation of energy, we can use the equation ω = √((2mgh)/I),

To find the angular velocity (ω) of a fully unwound wheel using the conservation of energy, we need to consider the rotational energy (Erot). The rotational energy of the wheel is given by the formula Erot = (1/2)Iω², where I is the moment of inertia of the wheel and ω is the angular velocity.

When the wheel is fully unwound, its potential energy (Ep) is converted into rotational energy. Therefore, we can equate the initial potential energy (Epi) to the final rotational energy (Erot) using the conservation of energy principle.

Let's assume the initial potential energy of the wheel when it is fully wound is Epi.

1. Set up the conservation of energy equation: Epi = Erot

2. Substitute the expressions for potential energy and rotational energy: mgh = (1/2)Iω², where m is the mass of the wheel, g is the acceleration due to gravity, and h is the height from which the wheel is unwound.

3. Rearrange the equation to solve for ω: ω = √((2mgh)/I)

Therefore, the angular velocity (ω) of the wheel when it is fully unwound is given by ω = √((2mgh)/I).

In conclusion, to find the angular velocity (ω) of a fully unwound wheel using the conservation of energy, we can use the equation ω = √((2mgh)/I), where m is the mass of the wheel, g is the acceleration due to gravity, h is the height from which the wheel is unwound, and I is the moment of inertia of the wheel.

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In what direction does the Moon orbit the Earth?

Answers

Answer:

from west to east

Explanation:

Answer:

east to west.

Explanation:

Viewed from above, however, the Moon orbits Earth in the same direction as our planet rotates. So, the Moon actually moves from west to east through our sky, albeit so slowly that we almost never notice it.

A motorcycle weighing 7300 N is parked on an 8.2 degree slope. What is the magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released?

Answers

Given :

A motorcycle weighing 7300 N is parked on an 8.2 degree slope.

To Find :

The magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released.

Solution :

We know, the acceleration due to gravity in the motorcycle is :

g = 9.8 m/s²

Now, component of acceleration along the slope is given by :

\(g'= g \times sin \ 8.2^o\\\\g'= 9.8 \times sin \ 8.2^o\\\\g' = 9.8 \times 0.143\\\\g'= 1.40\ m/s^2\)

Therefore, the magnitude of the acceleration at which the motorcycle will roll downhill if its brake is released .

(a) what is the potential difference across the resistor? (enter your answer to 6 significant figures for comparison.) 10.287 incorrect: your answer is incorrect. v (b) what is it across each of the two sections of wire? mv (c) at what rate is energy lost to thermal energy in the resistor? w (d) at what rate is it lost in each of the two sections of wire?

Answers

(a) The potential difference across the resistor is 10.287 V.
(b) The potential difference across each of the two sections of wire is equal to the potential difference across the resistor, 10.287 V.
(c) The rate at which energy is lost to thermal energy in the resistor is determined by the formula:
Power = Voltage x Current
Where P is power (in watts), V is voltage (in volts) and I is current (in amperes). The current is determined by the resistance of the resistor, and the voltage is the potential difference across the resistor, 10.287 V. So, the rate at which energy is lost to thermal energy in the resistor is 10.287 V x I, where I is determined by the resistance of the resistor.
(d) The rate at which energy is lost in each of the two sections of wire is determined by Ohm's Law:
V = I x R
Where V is voltage (in volts), I is current (in amperes) and R is resistance (in ohms). The current is determined by the resistance of the two sections of wire and the voltage is the potential difference across the two sections of wire, 10.287 V. So, the rate at which energy is lost in each of the two sections of wire is 10.287 V x I, where I is determined by the resistance of the two sections of wire.

In summary, the rate at which energy is lost to thermal energy in the resistor is determined by the potential difference across the resistor (10.287 V) and the resistance of the resistor, while the rate at which energy is lost in each of the two sections of wire is determined by the potential difference across the two sections of wire (10.287 V) and the resistance of the two sections of wire.

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2. The word used to represent a chemical reaction is a/an a. Atom b. Formula O c. Equation d. Symbol​

Answers

Answer:

A formula I am pretty sure

What is the minimum mass of styrofoam block needed by a man to stay afloat in water if his weight in air is 900N

Answers

Minimum mass of the styrofoam block needed for the man to stay afloat in water is approximately 18.4 kg.

What is the minimum mass of a styrofoam block required for a man weighing 900N in air to stay afloat in water?

To determine the minimum mass of a styrofoam block required for a man to stay afloat in water, we need to consider the principle of buoyancy. The buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. Since the man's weight in air is 900N, the buoyant force must also be 900N to balance it out and keep him afloat.

Given that the density of water is approximately 1000 kg/m³, we can use the formula for buoyant force (F_buoyant = ρ * V * g), where ρ is the density of water, V is the volume of the styrofoam block, and g is the acceleration due to gravity.

By rearranging the formula, we can find V = F_buoyant / (ρ * g). Substituting the values, V = 900N / (1000 kg/m³ * 9.8 m/s²), we get V ≈ 0.092 m³.

Since density (ρ) is mass (m) divided by volume (V), we can rearrange the formula to find m = ρ * V. Substituting ρ = 200 kg/m³ (typical density of styrofoam), we get m ≈ 200 kg/m³ * 0.092 m³ ≈ 18.4 kg.

Therefore, the minimum mass of the styrofoam block needed for the man to stay afloat in water is approximately 18.4 kg.

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an object weighs 150N on earth. what is the mass of the object?

Answers

Answer:

450 g =0.9921 lb

Explanation:

A mass M1=6kg rests on a frictionless table and connected by a massless string over a massless pulley to another mass M2=6.8kg which hangs freely from the string. When released, the hanging mass falls a distance d=.9m.1) How much work is done by the normal force on M1?2) What is the final speed of the two blocks?3) How much work is done by tension on M1?4) What is the tension in the string as the block falls?5) The work done by tension on only M2 is? a) positive b) zero, c) negative.6) What is the NET work done on M2?

A mass M1=6kg rests on a frictionless table and connected by a massless string over a massless pulley

Answers

Given data:

* The mass on the frictionless table is,

\(m_1=6\text{ kg}\)

* The mass hangs freely from the string is,

\(m_2=6.8\text{ kg}\)

* The hanging mass falls a distance is,

\(d=0.9\text{ m}\)

Solution:

(1). The normal force of mass on the frictionless table is,

\(\begin{gathered} F_N=m_1g \\ F_N=6\times9.8 \\ F_N=58.8\text{ N} \end{gathered}\)

As the displacement of the mass m_1 on the frictionless table is in the hroizontal direction.

Thus, the work done by teh normal force is,

\(W=F_Nd\cos (\theta)\)\(\text{where }\theta\text{ is the angle between the normal force and dispalcement}\)

As both the normal force and displacement are perpendicuular to each other.

Thus, the work done by the nromal force on the mass m_1 is,

\(\begin{gathered} W=F_Nd\cos (90^{\circ}) \\ W=0 \end{gathered}\)

Thus, the work done by the normal force on m_1 is zero.

What is an electromagnetic wave?

A. An induced electric current
B. Vibrating electric and magnetic fields
C. Oscillating electric current
D. An electromagnet

Answers

Answer: B

Explanation:

Answer is B

Electromagnetic waves or EM waves are waves that are created as a result of vibrations between an electric field and a magnetic field

what is the magnitude of the dipole moment of a 327.00 turn solenoid with a radius of 0.06 m and a length of 0.60 m carrying a current of 7.80 a?

Answers

The magnitude of the dipole moment of a solenoid having 327 turns, a radius of 0.06 m, and a length of 0.06 m carrying a current of 7.80 A is 28.84 A·m².

To find the magnitude of the dipole moment of the solenoid, we can use the formula for the magnetic dipole moment of a solenoid:

Magnetic dipole moment (µ) = Number of turns (N) × Current (I) × Area (A)

First, we have the given values:
- Number of turns (N) = 327 turns
- Current (I) = 7.80 A
- Radius of the solenoid (r) = 0.06 m
- Length of the solenoid (l) = 0.60 m

Next, we'll find the Area (A) of the solenoid using the formula for the area of a circle:
Area (A) = π × r²

A = π × (0.06 m)²
A = 0.0113 m²

Now, we can plug in the values into the formula for magnetic dipole moment:
µ = N × I × A
µ = 327 turns × 7.80 A × 0.0113 m²
µ = 28.84 A·m²

The magnitude of the dipole moment of the solenoid is 28.84 A·m².

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mechanical advantage is always less than velocity ratio,why?​

Answers

because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant

hope it helps you

a scaffold of mass 60 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. a window washer of mass 80 kg stands at a point 1.5 m from one end. what is the tension in (a) the nearer cable and (b) the farther cable?

Answers

(a) The tension in the nearer cable is 941 N, and (b) the tension in the farther cable is 1373 N.

We need to find the tension in both the nearer and farther cables supporting the scaffold with a window washer on it.

a) To find the tension in the nearer cable, we must first calculate the total torque acting on the system, keeping in mind that the torque must be zero for the system to be in equilibrium. The torque contributions are:

1. The torque due to the window washer's weight (80 kg * 9.81 m/s²) acting at a distance of 1.5 m from the nearer cable.


2. The torque due to the scaffold's weight (60 kg * 9.81 m/s²) acting at the midpoint of the scaffold, which is 2.5 m from each cable.

Now, we can set up the torque equation:

T_near * 5.0 m = (80 kg * 9.81 m/s² * 1.5 m) + (60 kg * 9.81 m/s² * 2.5 m)

Solve for T_near:

T_near = ((80 kg * 9.81 m/s² * 1.5 m) + (60 kg * 9.81 m/s² * 2.5 m)) / 5.0 m
T_near ≈ 941 N

b) To find the tension in the farther cable, we can use the fact that the sum of the tensions in both cables must equal the total weight of the system (scaffold + window washer):

T_far + T_near = (80 kg + 60 kg) * 9.81 m/s²

Solve for T_far:

T_far = (140 kg * 9.81 m/s²) - T_near
T_far ≈ 1373 N

Therefore,  the tension in the nearer cable (a) is approximately 941 N, and the tension in the farther cable (b) is approximately 1373 N.

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What are your controls?

Answers

Answer:

A to jump

Explanation:

hope this helpes!

A 4.0-cm-tall candle flame is 2.0 m from a wall. You happen to have a lens with a focal length of 42cm.
A) How many places can you put the lens to form a well-focused image of the candle flame on the wall? Answer: 2
B) What are the distance between the candle and the lens for each location? Answer: 60 and 140 cm
C) For each location, what is the height of the image?

Answers

To form a well-focused image of the candle flame on the wall using the lens with a focal length of 42cm, we can use the thin lens formula:

1/f = 1/d_o + 1/d_i

where f is the focal length of the lens, d_o is the distance between the object (candle flame) and the lens, and d_i is the distance between the image and the lens.

A) To find the number of places we can put the lens to form a well-focused image, we need to find the possible values of d_o that satisfy the thin lens formula. Rearranging the formula, we get:

d_i = (f * d_o) / (d_o - f)

Substituting the given values, we get:

d_i = (42 * 200) / (200 - 42) = 58.8cm

So, we can place the lens at any distance d_o such that the thin lens formula is satisfied and the image is formed at a distance of 58.8cm from the lens.

B) To find the distance between the candle and the lens for each location, we can rearrange the thin lens formula as:

1/d_o + 1/d_i = 1/f

Substituting the values, we get:

1/d_o + 1/58.8 = 1/42

Solving for d_o, we get:

d_o = 49.7cm or 119.2cm

So, we can place the lens at a distance of 49.7cm or 119.2cm from the candle to form a well-focused image on the wall.

C) For each location, we can find the height of the image using the magnification formula:

m = -d_i / d_o

where m is the magnification of the lens.

Substituting the values, we get:

m = -58.8 / d_o

For d_o = 49.7cm, we get:

m = -1.18

So, the height of the image is 4.0cm * 1.18 = 4.72cm (inverted)

For d_o = 119.2cm, we get:

m = -0.49

So, the height of the image is 4.0cm * 0.49 = 1.96cm (inverted)

Therefore, we can form two well-focused images of the candle flame on the wall using the given lens, with different distances between the candle and the lens and different heights of the image.

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A woman rolls a 8 kg bowling ball with an initial velocity of 10 m/s down a 20 meter tall hill. If the ball
rolls down the hill, then up a 5 meter tall hill, what is the velocity of the ball when it reaches the top of
the second hill?

Answers

Answer:

The first step is to calculate the potential energy of the ball at the top of the first hill using the formula PE = mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the hill. PE = (8 kg) x (9.8 m/s^2) x (20 m) = 1568 J Next, we can use the law of conservation of energy, which states that the total energy of a closed system remains constant. This means that the potential energy at the top of the first hill must be equal to the kinetic energy at the bottom of the hill, since there is no external work done on the ball. So, using the formula KE = 1/2mv^2, where v is the velocity of the ball, we can solve for v: KE = 1

help in science pleas in physical science

help in science pleas in physical science

Answers

Answer:

liquid

Explanation:

hope this helps

plasma or gas sweets because if u look at the bottom it tells u

you push a freezer with a force of 250 N. if you move it a distance of 15 m, how much work was done?

Answers

Answer:

375J

Explanation:

W=F x d

=250 x 15

=375J

The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea. If the force is applied at an angle to the displacement, the work is W = fd cos.

What force is related to work done?

Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, For a constant force that is oriented in the same direction as the motion, it is easiest expressed as the product of the force's magnitude and the distance travelled.

A desk is being subjected to applied force if someone is pushing it across the room. The person's force applied to the desk is known as the applied force.

Mass and weight are not the same.The normal force is the supporting force exerted on an object when it collides with another stable object.

Therefore, W=F × d =250 × 15 =375J

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An applied force of 75.0 N accelerates a 10.0 kg block at 3.5 m/s2 along a horizontal surface. a. How large is the frictional force? b. What is the coefficient of friction?

Answers

Answer:

a. 40.0 N

b. 0.41

Explanation:

By the second law of Newton, the net force is equal to the mass times the acceleration. In this case, the net force is the applied force less the frictional force, so

\(\begin{gathered} F_{\text{net}}=ma \\ F-F_f=ma \end{gathered}\)

Where F is the applied force, Ff is the friction force, m is the mass and a is the acceleration.

Solving for Ff, we get

\(Ff=F-ma\)

Now, we can replace the values

\(\begin{gathered} Ff=75.0N-(10.0\operatorname{kg})(3.5m/s^2) \\ F_f=75.0N-35.0N \\ F_f=40N \end{gathered}\)

So, the frictional force is 40N

On the other hand, the force of friction is equal to the normal force times the coefficient of friction. Where the normal is equal to its weight, so

\(\begin{gathered} F_f=\mu F_n \\ F_f=\mu mg \end{gathered}\)

Where μ is the coefficient of friction and g is the gravity and it is equal to 9.8 m/s². Solving for μ

\(\mu=\frac{F_f}{mg}\)

Now, we can replace the values to get

\(\mu=\frac{40.0N}{10.0\operatorname{kg}(9.8m/s^2)}=0.41\)

Therefore, the coefficient of friction is 0.41

Then, the answers are

a. 40.0 N

b. 0.41

What is equivalent resistance for a parallel circuit where R1 = 6, R2 = 36, and R3 = 12?

Answers

Answer:

Below

Explanation:

If they are all in parallel, the quivalent resistance is given by

            1                     =    3.6 Ω

  1/R1   + 1/R2  + 1/R3

How is total magnification calculated?

Answers

Calculating total magnification involves multiplying the power of the objective and ocular lenses.

How is a microscope's magnification determined?

The microscope's magnification is relatively simple to determine. Just double the eyepiece's magnification by the objective lens's magnification. Nearly invariably, the barrel (objective) or top of a microscope's eyepieces and objectives are inscribed with the instrument's magnification (eyepiece).

In other words, the total magnification of a microscope is calculated by multiplying the objective lens's magnification by the optical lens' magnification.

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Car 2 passes car 1. To a stationary observer, car 1 has a velocity of 28 m/s to the east and car 2 has a velocity of 33 m/s to the east. How much time will pass before car 2 is 14 m ahead of car 1?

Answers

Answer:

\(2.8\; {\rm s}\).

Explanation:

The velocity of vehicle \(2\) relative to vehicle \(1\) is:

\(\begin{aligned}& \text{velocity of 2 relative to 1} \\ =\; & (\text{velocity of 2 relative to ground}) \\ &- (\text{velocity of 1 relative to ground}) \\ =\; & 33\; {\rm m\cdot s^{-1} - 28\; {\rm m\cdot s^{-1}} \\ =\; & 5\; {\rm m\cdot s^{-1}} && (\text{to the east})\end{aligned}\).

The displacement of vehicle \(2\) relative to vehicle \(1\) is currently \(0\; {\rm m}\). The rate at which this displacement increases is equal to the velocity of vehicle \(2\!\) relative to vehicle \(1\!\), which is \(5\; {\rm m\cdot s^{-1}}\).

Thus, it would take \((14 \; {\rm m}) / (5\; {\rm m\cdot s^{-1}}) = 2.8\; {\rm s}\) for this displacement to reach \(14\; {\rm m}\).

A passenger aeroplane accelerates from rest along a runway. It accelerates at a uniform rate for 3.5s. At this point it reaches a speed of 84 m/s and then takes off. Calculate the acceleration of the aeroplane along the runway.

Answers

Please find attached photograph for your answer. Do comment whether it is useful or not. Mark as Brainliest if you like my answer.

A passenger aeroplane accelerates from rest along a runway. It accelerates at a uniform rate for 3.5s.

what is the simplest form of electricity?

Answers

The simplest form of electricity is static electricity.

Static electricity is the buildup of electric charges on an object or surface. It is the most basic and commonly observed form of electricity and can be seen in everyday occurrences such as when a balloon sticks to a wall after being rubbed against someone's hair, or when a person gets a small shock after touching a metal doorknob.

Static electricity occurs when there is an imbalance of electric charges on an object or surface, causing a buildup of electric potential energy. This buildup can be discharged, or released, through a spark or electric shock.

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among the ellipticals, e0 types look the most like huge globular star clusters. group of answer choices true false

Answers

True; The ellipticals, e0 types look the most like huge globular star clusters.

Star clusters are massive collections of stars. Globular clusters, which are tightly grouped groups of thousands to millions of old stars that are gravitational bonded, can be distinguished from open clusters, which are more loosely clustered groups of stars that typically have fewer than a few hundred members and are frequently quite young. Open clusters are gradually disrupted as they move through the galaxy due to the gravitational pull of giant molecular clouds, but cluster members will still move roughly in the same direction through space even though they are no longer gravitationally bound; at this point, they are known as a stellar association, also known as a moving group.

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Electromagnetic waves are made by vibrating electric charges and can travel through what​

Answers

Answer:

vibrates, and they carry energy from one place to another. Look at the sound wave and the water wave. vibrating electric charges and can travel through space where matter is not present. to particle, electromagnetic waves travel by transferring energy between vibrating electric and magnetic fields.

A particle moves along a straight line with a velocity in meters per second given by v = 12 - 3t + 8t, where t is in seconds. When t = 0s the position of the particle is +5m. Determine: A. The equation for position as a function of time.B. The equation for the acceleration as a function of time.C. The acceleration of the particle at t = 6 s.D. The net displacement, ∆s, from t = 0 to t = 6 s.E. The total distance traveled, sT, from t = 0 to t = 6 s.F. The average velocity, vavg, from t = 0 to t = 6 s.

Answers

Answer:

Explanation:

Given the velocity of a particle modeled by the equation

v = 13-3t+8t² where t is in seconds

Given t = 0 and position s = +5m

A) To get the position as a function of time, we will integrate the function with respect to t ad shown;

v = 13-3t+8t²

S = ∫13-3t+8t² dt

S = 13t-13t²/2+8t³/3 + C

at t = 0 and S = +5m

5 = 13(0)-13(0)²/2+8(0)³/3+C

5 = 0-0+0+C

C = 5

Substituting c = 5 into the displacement function

S = 13t-13t²/2+8t³/3 + C

S = 13t-13t²/2+8t³/3 + 5

B) acceleration is the change in velocity with respect to time.

a = dv/dt

Given v = 13-3t+8t²

a= dv/dt = -3+16t

a = 16-3t

C) acceleration at t = 6s is derived by plugging in t = 6 into the resulting equations in (B)

a = 16-3t

a = 16-3(6)

a = 16-18

a = -2m/s²

D) net displacement from t = 0 to t = 6s

At t = 0:

S(0) = 13(0)-13(0)²/2+8(0)³/3 + 5

S(0) = 0+5

S(0) = 5m

At t = 6s

S(6) = 13(6)-13(6)²/2+8(6)³/3 + 5

S(6) = 78-234+576+5

S(6) = 425m

Net displacement from t = 0s to t = 6s is s(6)-s(0)

= 425-5

= 420m

E) Total distance travelled D = S(6)+S(0)

= 425+5

= 430m

F) Average velocity = ∆S/∆t

Average velocity = S(6)-S(0)/6-0

Average velocity = 425-5/6

Average velocity = 420/6

Average velocity = 70m/s



Two point charges of values +3.4 ?C and +6.6 ?C, respectively, are separated by 0.20 m. What is the potential energy of this 2?charge system? (ke = 8.99 109 N?m2/C2)
Electric Potential Energy

Electric potential energy of a system of charges is the work done in bringing the charges from infinite distances to their respective positions in the system. Total electric potential energy of a system is the sum of potential energies of each pair of charges of the system.

Answers

Potential energy of the 2-charge system: According to the question, we have two point charges of values +3.4 µC and +6.6 µC separated by 0.20 m. The potential energy of the two-point charge system is 820.41 J.

The formula for calculating the potential energy of the two-point charge system is given by;

U = (kq1q2)/d,

Where; U = potential energy of the system q1 = value of the first point charge

q2 = value of the second point charge,

k = Coulomb's constant = 8.99 × 10^9 Nm^2/C^2

d = separation distance between the two charges

Plugging in the values, we get;

U = [(8.99 × 10^9 Nm^2/C^2)(3.4 µC)(6.6 µC)]/(0.20 m)

U = 820.41 J (Joules)

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2. a car traveling at 27 m/s runs out of gas while traveling up a slope. if the car coasts 85 m up the slope before starting to roll back down, what is the angle of incline?

Answers

The angle of inclination is 25.92°. The gravitational force is equal and opposite to the force component parallel to the inclined surface on a block placed on an inclined surface.

We can find the angle of inclination by using this information. This can be illustrated with the following formula;

mg sin θ = f

Here, m = Mass of car = 1,000 kg

g = acceleration due to gravity = 9.8 ms⁻²

sin θ = Opposite / Hypotenuse

= Height / Length

f = Force component parallel to slope

= Weight × sin θ

= mg sin θ

We'll need to utilize the following data:

Initial velocity, u = 27 m/s

Displacement, S = 85 m

Acceleration, a = -9.8 m/s²

By using the kinematic equation of motion, the time it takes to travel up the slope can be calculated;

v² = u² + 2as,

Where, v = Final velocity = 0 m/s

u = Initial velocity = 27 m/s

a = Acceleration = -9.8 m/s²

s = Displacement = 85 m.

After calculating for t, we can use this time value to calculate the angle of inclination by utilizing the aforementioned formula.

mg sin θ = f

Here, m = 1,000 kg,

g = 9.8 ms⁻²,

f = mgsinθsinθ = f / mg.

Now, solve for f, f = ma

Therefore, f = 1,000 kg × 9.8 m/s² × sin θ

The angle of inclination can now be calculated:

sinθ = f / mg

= 1,000 kg × 9.8 m/s² × sin θ / 1,000 kg × 9.8 m/s²

= sin θ= (u² - v²) / 2as

= (27 m/s)² / 2(-9.8 m/s²)(85 m)

= 25.92°

Therefore, the angle of inclination is 25.92°.

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