Answer:
c. physiological reactions; convey emotional states to other members of the species
Explanation:
Darwin believed that emotional expressions began as physiological reactions that came to have evolutionary value because they convey emotional states to other members of the species. These reactions are used by many different types of species to convey various things.
A stretched string has a mass per unit length of 5.00 g/cm and a tension of 10.0 N. A sinusoidal wave on this string has an amplitude of 0.12 mm and a frequency of 100 Hz and is traveling in the negative direction of an x axis. If the wave equation is of the form y(x, t) = ym sin(kx ± ωt), what are (a) ym, (b) k, (c) ω, and (d) the correct choice of sign in front of ω?
Answer:
0.12 mm ; 140.50 rad/m ; 628.32 rad/sec ; +
Explanation:
Given the wave equation of the form :
y(x, t) = ym sin(kx ± ωt)
Mas per unit length (u) = 5 g/cm = (5÷1000)kg / 0.01m) = 0.005kg/0.01m = 0.5kg/m
Tension, T = 10 N
Amplitude, A = 0.12 mm
Frequency, F = 100 Hz
Comparing with the general wave equation :
y = Asin(kx ± ωt)
A = amplitude = ym = 0.12 mm
2.) k = 2π / λ
Recall :
v = fλ
v = sqrt(T/u) = sqrt(10/0.5) = sqrt(20) = 4.472
λ = v/ f = 4.472 / 100 = 0.04472
Hence,
k = (2 * π) / 0.04472
k = 140.50 rad/m
3.) Angular frequency, ω
ω = 2πf = 2 * 3.14 * 100 = 628.32 rad/sec
4.) sign is +ve
Direction of wave propagation as given is in the negative x axis
Find the y-component of this
vector:
47.3 m
39.4°
Answer: 36.55
Explanation:
Answer:it is 30.03
Explanation:
A motorcycle travels, in one direction only, with an average speed of 916.66 m/min during the first 30 minutes of its travel and 900 m/min during the next 20 minutes.
Calculate (Units must be in units of the international system):
a. The total distance traveled.
b. The average speed.
Explanation:
a. To calculate the total distance traveled, we need to find the distance traveled during the first 30 minutes and the distance traveled during the next 20 minutes, and then add them up.
During the first 30 minutes:
distance = speed × time
distance = 916.66 m/min × 30 min
distance = 27,499.8 meters
During the next 20 minutes:
distance = speed × time
distance = 900 m/min × 20 min
distance = 18,000 meters
Total distance traveled:
distance = 27,499.8 meters + 18,000 meters
distance = 45,499.8 meters
Therefore, the total distance traveled is 45,499.8 meters.
b. To calculate the average speed, we need to divide the total distance traveled by the total time taken.
Total time taken:
time = 30 min + 20 min
time = 50 min
Average speed:
speed = distance ÷ time
speed = 45,499.8 meters ÷ 50 min
speed = 909.996 m/min
Therefore, the average speed is 909.996 m/min.
In sound, the wavelength of the sound
determines the __ of the sound.
A. Pitch
B. Volume
C.Length
Answer:
A) Pitch
Explanation:
Wavelength determines the pitch ( or frequency which is 1/wavelength)
A hockey puck glides across the ice at 27.7 m/s, when a player whacks it with her hockey stick, giving it an acceleration at 64.3∘ to its original direction. The acceleration lasts 50.3 ms, and the puck's displacement during this time is 1.66 m.
Find the magnitude of the puck's acceleration?
The magnitude of the puck's acceleration is 210.83 m/s².
Magnitude of the puck's acceleration
The magnitude of the puck's acceleration in the horizontal direction is calculated as follows;
s = ut + ¹/₂aₓt²
where;
s is the displacementt is time of motionaₓ is acceleration in horizontal direction1.66 = 27.7 x 0.0503 + (0.5)(0.0503)²aₓ
1.66 = 1.3933 + 1.265 x 10⁻³ aₓ
1.66 - 1.3933 = 1.265 x 10⁻³ aₓ
0.2667 = 1.265 x 10⁻³ aₓ
aₓ = 0.2667 / ( 1.265 x 10⁻³)
aₓ = 210.83 m/s²
Thus, the magnitude of the puck's acceleration is 210.83 m/s².
Learn more about acceleration here: https://brainly.com/question/605631
#SPJ1
When a ball is thrown straight up with no air Resistance, the acceleration is in what direction ?
Answer:
The ball has a velocity upwards but the acceleration is downwards. Gravity is giving the ball a downwards acceleration from the moment the ball leaves the hands.
Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude, and then spin rapidly at about 1100 rpm to spray the water off their bodies. When the dragonflies do this "spin-dry," they tuck themselves into a "ball" with a moment of inertia of 2.0×10−7kg⋅m2 . How much energy must the dragonfly generate to spin itself at this rate?
The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:
Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)
ω ≈ 115.28 rad/s
The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².
Use the formula for rotational kinetic energy:
Rotational Kinetic Energy (KE_rot) = (1/2) I ω²
Substituting the given values:
KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²
Calculate the value inside the parentheses:
KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)
KE_rot ≈ 1.331 × 10^-3 J
Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.
KE_rot ≈ 4.8 × 10^-4 J
Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
For more such questions on energy, click on:
https://brainly.com/question/8101588
#SPJ8
As you brake your bicycle, your velocity changes from 20 m/s east to 10 m/s east in 5 seconds. What’s your acceleration?
Hello!
\(\large\boxed{-2m/s^{2} }\)
Find the acceleration using the formula a = (vf - vi) / t where:
vf = final velocity
vi = initial velocity
t = time
Plug in the points above:
vf = +10 m/s
vi = +20 m/s
t = 5 sec
(10 - 20) / 5 = -10 / 5 = -2 m/s²
A box with mass 40.7 kg (m) is pulled up a 14.5° (0₁) incline with a coefficient of kinetic friction (H) of .17. The force pulling the box (Fp) is 173 N and is applied at a 25.7° (0₂) above the parallel to the plane. What is the boxes acceleration up the ramp?
thanks !!
The boxes acceleration up the ramp is approximately 0.109 m/s².
The forces acting on the box can be resolved into two components: one parallel to the incline (F_parallel) and one perpendicular to the incline (F_perpendicular).
Given:
Mass of the box (m) = 40.7 kg
Coefficient of kinetic friction (μ) = 0.17
The force pulling the box (F_p) = 173 N
Incline angle (θ₁) = 14.5°
Force angle (θ₂) = 25.7°
First, we need to calculate the components of the force pulling the box:
F_parallel = F_p * sin(θ₂)
F_perpendicular = F_p * cos(θ₂)
Next, let's calculate the force of friction:
F_friction = μ * (mass of the box) * g, where g is the acceleration due to gravity (approximately 9.8 m/s²)
The force component parallel to the incline is opposed by the force of friction, so:
Net force parallel to the incline (F_net_parallel) = F_parallel - F_friction
Now, we can calculate the acceleration using Newton's second law:
F_net_parallel = (mass of the box) * acceleration
Rearranging the equation, we get:
acceleration = F_net_parallel / (mass of the box)
Now we can substitute the values into the equations and calculate the acceleration
F_parallel = 173 N * sin(25.7°) ≈ 73.88 N
F_perpendicular = 173 N * cos(25.7°) ≈ 154.37 N
F_friction = 0.17 * (40.7 kg) * 9.8 m/s² ≈ 69.44 N
F_net_parallel = F_parallel - F_friction ≈ 73.88 N - 69.44 N ≈ 4.44 N
acceleration = (4.44 N) / (40.7 kg) ≈ 0.109 m/s²
Therefore, the box's acceleration up the ramp is approximately 0.109 m/s².
For more such questions on acceleration:
https://brainly.com/question/30595126
#SPJ8
Please help me i need this to pass :((
Based on the densities of the two liquids, the height of the light liquid in the right arm of the U-tube is 0.203 cm.
What is the height L of the light liquid in the column in the right arm of the U-tube?Let's first consider the situation before the light liquid is added. At this point, the heavy liquid fills both arms of the U-tube to the same height, h.
The pressure at point A is equal to the pressure at point B
Therefore:
P₀ + ρgh = P₀ + ρgh
where P₀ is the atmospheric pressure, ρ is the density of the heavy liquid, and g is the acceleration due to gravity.
Simplifying this equation, we get:
ρgh = ρgh
Canceling out the ρ and solving for h, we get:
h = h
In other words, the height of the heavy liquid is the same in both arms of the U-tube.
Now let's consider the situation after the light liquid is added to the right arm of the U-tube. We want to find the height, L, of the light liquid in the right arm.
Since the pressure at any two points in a connected vessel is the same, the pressure at point B (the top of the heavy liquid in the right arm) must be equal to the pressure at point C (the top of the light liquid in the right arm).
Therefore, we can write:
P₀ + ρgh = P₀ + ρg(L+h)
where L is the height of the light liquid in the right arm.
Simplifying this equation, we get:
ρgh = ρgL + ρgh
Canceling out the ρgh and solving for L, we get:
L = (ρ/ρ₀)h
where ρ₀ is the density of the light liquid.
Substituting the given values, we get:
L = (0.92 g/cm³ / 13 g/cm³)h
L = 0.070769h
Now we need to find h. We can use the fact that the volume of the heavy liquid in the left arm is equal to the volume of the heavy liquid plus the light liquid in the right arm.
The volume of the heavy liquid in the left arm is:
V₁ = Ah = (13.2 cm²)(h cm)
V₁ = 13.2h cm³
The volume of the heavy liquid plus the light liquid in the right arm is:
V₂ = A(L+h) = (2.11 cm²)(L+h cm)
V₂ = 2.11(L+h) cm³
Since these volumes are equal, we can set them equal to each other and solve for h:
13.2h = 2.11(L+h)
13.2h = 2.11L + 2.11h
11.09h = 2.11L
h = (2.11/11.09)L
Substituting this into our expression for L, we get:
L = 0.070769(2.11/11.09)L
L = 0.01345L
L = 0.01444h
Substituting the given value for the density of the heavy liquid, we get:
L = 0.01444h = 0.01444(13 g/cm³)/(0.92 g/cm³)
L = 0.203 cm
Learn more about U-tube and density at: https://brainly.com/question/26701598
#SPJ1
Complete question:
A heavy liquid with a density 13 g/cm³ is poured into a U-tube as shown in the left- hand figure below. The left-hand arm of the tube has a cross-sectional area of 13.2 cm², and the right-hand arm has a cross-sectional area of 2.11 cm². A quantity of 90.2 g of a light liquid with a density 0.92 g/cm³ is then poured into the right-hand arm as shown in the right-hand figure below.
Determine the height L of the light liquid in the column in the right arm of the U-tube, as shown in the second figure above. Answer in units of cm.
Scientists use equations to model how fast a rocket needs to go to launch a satellite into orbit. What is a limitation of this model?
A limitation of this model is that it can't be tested practically in order to check its validity.
What is a model?Models are representations of scientific data that can help in defining, analyzing, and communicating many concepts. These models are developed in order to do analysis, specification, design, verification, and validation of a system.
So we can conclude that a limitation of this model is that it can't be tested practically in order to check its validity.
Learn more about model here: https://brainly.com/question/723406
#SPJ1
A force of 255 N is applied to a stationary car of mass 500 kg for 18.3 s, the distance traveled by the car is
Answer:
170 m
Explanation:
force = ma
here a acceleration is unknown
but a = velocity/time = distance/(time)^2
255 = 500*d/(18.3)^2
d = 170 m
What’s SI units and SigFigs???
Answer:
Significant figures have a few rules about 0s and you should research but simply, for example say round 27.879 to 3 significant figures you round up until you have 3 numbers that aren't 0s so it would be 27.9.
SI units are the international system of units.
Answer:
SI units refer to the International System of Units. These are the standard units that measurements are typically given in. For example, the SI unit for time is seconds, meters for distance, kg for mass, etc.
Significant figures are the number of notable digits given for a measurement. For example, let's say you measured a piece of metal to be exactly 3.00 meters long. The value 3.00 has three significant figures, where as 3 only has one significant figure. Larger amounts of significant figures indicate a more precise measurement. In this case, by writing 3.00 instead of 3, you're telling me that you measured that piece of metal to be precisely 3.00 meters long.
Please help!!
An arrow is shot straight up in the air from the ground with an initial velocity of 54.0 m/s. If on striking the ground it
embeds itself 15.0 cm into the ground, what is the acceleration required to stop the arrow when it hits the ground?
Answer:
Bath CD jshchdhdhfhfhhfhd jpg de f for frr for gi Jhong GO by be jr jpg be
34 bc of the velocity of the arrow will come down with less dense
A group of particles is traveling in a magnetic field of unknown magnitude and direction. You observe that a proton moving at 1.50 km/s in the +x-direction experiences a force of 2.25 \times 10^{-16} N2.25×10 −16 N in the +y-direction, and an electron moving at 4.75 km/s in the -z-direction experiences a force of 8.50 \times 10^{-16} \mathrm{N}8.50×10 −16 N in the +y-direction.
(a) What are the magnitude and direction of the magnetic field?
(b) What are the magnitude and direction of the magnetic force on an electron moving in the -y-direction at 3.20 km/s?
Answer:
a) B = 0.9375 T -z, b) B = 1.54 T
Explication
a) The magnetic force is
F = q v x B
f = q v B sin θ
bold indicates vectors
For direction let's use the right hand rule.
If the charge is positive
the flea in the direction of velocity, toward + x
the fingers extended in the direction of B
the palm the direction of the force + and
therefore the magnetic field goes in the direction of -z
F = q v B
2.25 10-16 = 1.6 10-19 1.50 103 B
B = 2.25 10-16 / 2.4 10-16
B = 0.9375 T -z
b) now an electron
thumb speed direction, -z
opposite side of palm force + y
therefore the direction of the magnetic field is + x
B = F / qv
B = 8.5 10-16 / 1.16 10-19 4.75 103
B = 1.54 T
What is a pendulum?
A.)A pendulum is a grandfather clock.
B.)A pendulum is a mass suspended on the bottom of a string.
C.)A pendulum is several weights tied together and arranged in a circle.
D.) A pendulum is the time it takes for a bob to swing back and forth one time.
B) A pendulum is a mass suspended on the bottom of a string.
A pendulum is a simple mechanical device that consists of a mass (known as the bob) suspended from a fixed point by a string, wire, or rod. When the bob is pulled to one side and released, it swings back and forth under the influence of gravity, forming a regular pattern of motion. The time it takes for the pendulum to complete one full swing (i.e., from one extreme position to the other and back again) is known as its period. The period of a pendulum is affected by the length of the string and the strength of gravity. The longer the string, the longer the period, and the stronger the gravity, the shorter the period.Pendulums have a wide range of practical applications, such as timekeeping, as seen in grandfather clocks. They are also used in scientific experiments to measure time intervals and gravitational acceleration.
for more questions on mass
https://brainly.com/question/86444
#SPJ11
A series circuit has a 12-volt power source and two resistors of 1 ohm and 2 ohms respectively. How many amps will flow when
the circuit is closed?
Answer:
ayoooooooo
Explanation:
How does the period of a wave change if the frequency increases by a factor of three?
Answer:
Period becomes 1/3 of the original
Explanation:
Period = 1/f if f becomes 3f then period becomes 1/3 of the original
A 50gram bracelet is suspected of not being pure gold. It is dropped into a glass of water and 4 cm3of water overflows. Is the bracelet pure gold? How do you know?
Since, density of the bracelet is not equal to the density of gold, then, the bracelet is not pure gold.
To know if the bracelet is pure gold, we calculate the density of the bracelet and compare it to the density of pure gold (19.3 g/cm³).
That is, for the bracelet to pure gold,
Density of bracelet ≈ 19.3 g/cm³
What is Density?Density can be defined as the ratio of the mass and the volume of a substance.
The formula of Density is give as
D = m/v................... Equation 1⇒ Where:
D = Density of the braceletm = mass of the braceletv = volume of the braceletFrom the question,
⇒ Given:
m = 50 gv = 4 cm³ (an object displace an amount of water equal to it's own volume)⇒ Substitute these values into equation 1
D = 50/4D = 12.5 g/cm³Hence, since the density of the bracelet is not equal to the density of gold, then, the bracelet is not pure gold.
Learn more about density here: https://brainly.com/question/1354972
#SPJ1
Please help me! I don’t understand these types of problems.
Answer:
60 m
Explanation:
also if u ever get stuck just look up displacment caculator it can help . Please give me brainlist
In the following circuit, find the potential difference (magnitude) between points A and B.
The potential difference between points A and B in the circuit is 12 V.
How to determine potential difference?To find the potential difference between points A and B in the given circuit, determine the total voltage across the circuit.
From the information provided, there are four resistors labeled as 12 Ω each. Assuming these resistors are connected in series, the total resistance in the circuit is 12 Ω + 12 Ω + 12 Ω + 12 Ω = 48 Ω.
Next, determine the current flowing through the circuit. The voltage is given as 24 V.
Using Ohm's Law (V = IR), calculate the current:
I = V / R
I = 24 V / 48 Ω
I = 0.5 A
Since the resistors are connected in series, the current remains the same throughout the circuit.
Finally, to find the potential difference between points A and B, multiply the current by the resistance between those points:
V_AB = I × R_AB
V_AB = 0.5 A * 24 Ω
V_AB = 12 V
Therefore, the potential difference between points A and B in the circuit is 12 V.
Find out more on potential difference here: https://brainly.com/question/24142403
#SPJ1
A ball X of mals 1 kg travelling at 2 m/s has a
head-on collision with an identical ball Y at rest.
X stops and Y moves off. What is Y's velocity?
Answer:
A
Explanation:
Answer:
2m/s
Explanation:
If X stops Y takes momentum and it has the same velocity
Blocks A and B of masses m and 2m, respectively, are connected by a light string and are pulled along a horizontal surface of negligible friction by a horizontal force of magnitude F, as shown in the figure. The tension in the string is T. If the masses of the blocks are doubled, and the magnitude of the horizontal force remains the same, the tension in the string will be:
a) 1/4T
b) 1/2T
c) T
d) 2T
e) 4T
When the masses of the blocks are doubled and the force applied is constant, the tension in the string will be the same.
The given parameters:
Mass of block A = mMass of block B = 2mApplied horizontal force, = FTension in the string, = TThe acceleration of the blocks is calculated as follows;
\(a = \frac{F}{m + 2m} \\\\a = \frac{F}{3m}\)
The tension in the string is calculated as follows;
\(T = ma\\\\T = m(\frac{F}{3m)}\\\\T= \frac{F}{3}\)
When the masses of the blocks are doubled and the force applied is constant;
\(a = \frac{F}{2m + 4m} \\\\a = \frac{F}{6m}\)
The new tension in the string is calculated as follows;
\(T_2 = ma\\\\T_2 = (2m) (\frac{F}{6m} )\\\\T_2 = \frac{F}{3} = T\)
Thus, when the masses of the blocks are doubled and the force applied is constant, the tension in the string will be the same.
Learn more about tension in string between two blocks here: https://brainly.com/question/13539944
Paul Cezanne's Still Life with Apples in a Bowl (1879-83) represents a break with the tradition of using ____in art.
value
modeled forms
local color
linear perspective
Paul Cezanne's Still Life with Apples in a Bowl (1879-83) represents a break with the tradition of using linear perspective in art.
One of the pioneers of modern art, Cezanne used a novel approach to painting at the time. In his still life paintings, Cezanne represented things utilizing a system of flattened planes and simplified forms rather than the conventional perspective techniques that provide the impression of depth and space.
Additionally, he played around with color, relying on color blocks rather than shading and modeling to convey a sense of volume and form.
To know more about Paul Cezanne, visit,
https://brainly.com/question/17517549
#SPJ1
If you secure a refrigerator magnet about 2mmfrom the metallic surface of a refrigerator door and then move the magnet sideways, you can feel a resistive force, indicating the presence of eddy currents in the surface.
A)Estimate the magnetic field strength Bof the magnet to be 5 mTand assume the magnet is rectangular with dimensions 4 cmwide by 2 cmhigh, so its area A is 8 cm2. Now estimate the magnetic flux ΦB into the refrigerator door behind the magnet.
Express your answer with the appropriate units.
B)If you move the magnet sideways at a speed of 2 cm/s, what is a corresponding estimate of the time rate at which the magnetic flux through an area A fixed on the refrigerator is changing as the magnet passes over? Use this estimate to estimate the emf induced under the rectangle on the door's surface.
Express your answer with the appropriate units.
Answer:
(A) 4* 6 ^ ⁻6 T m² (B) 2 * 10 ^ ⁻6 v
Explanation:
Solution
Given that:
A refrigerator magnet about = 2 mm
The estimated magnetic field strength of the magnet is = 5 m T
The Area = 8 cm²
Now,
(A) The magnetic flux ΦB = BA
Thus,
ΦB = (5 * 10^⁻ 3) ( 4 * 10 ^⁻2) * ( 2 * 10^ ⁻2) Tm²
So,
ΦB = 4* 6 ^ ⁻6 T m²
(B)By applying Faraday's Law we have the following formula given below:
Ε = Bℓυ
Here,
ℓ = 2 cm the same as 2 * 10 ^⁻2 m
B = 5 m T = 5 * 10 ^ ⁻3 T
υ = 2 cm/s = 2 * 10 ^ ⁻2 m/s
Thus,
Ε = (5 * 10 ^ ⁻3 T) * (2 * 10 ^ ⁻2) (2 * 10 ^ ⁻2) v
E =2 * 10 ^ ⁻6 v
A) The magnetic flux ΦB into the refrigerator door behind the magnet :
4 * 6⁻⁶ Tm²B) The estimated emf induced under the rectangle on the door's surface ;
2 * 10⁻⁶ vGiven data :
magnetic field strength of magnet ( B ) = 5 mT
size of refrigerator magnet = 2 mm
Area of magnet ( A ) = 4 * 2 = 8 cm²
A) Determine the magnetic flux ΦBwhere ; ΦB = BA
ΦB = ( 5 * 10⁻³ ) * ( 4 * 10⁻² ) * ( 2 * 10⁻² ) Tm²
= 4 * 6⁻⁶ Tm²
B) Determine estimated emf inducedTo determine the estimated emf we will apply Faraday's law
Ε = Bℓυ ---- ( 2 )
where : B = 5 * 10⁻³ T, ℓ = 2 * 10⁻² m, υ = 2 * 10⁻² m/s
insert values into equation 2
E = ( 5 * 10⁻³ ) * ( 2 * 10⁻² ) * ( 2 * 10⁻² )
= 2 * 10⁻⁶ v
Hence we can conclude that The magnetic flux ΦB is 4 * 6⁻⁶ Tm² and The estimated emf induced is 2 * 10⁻⁶ v
Learn more about magnet flux : https://brainly.com/question/4721624
Seven little spheres of mercury, each with a diameter of 2 mm. When they coalesce to form a single sphere, how big will it be (i.e. what is its diameter)? How does its surface area compare with the total surface area of the previous Seven little spheres?
Answer:
The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.
Explanation:
Volume of a Sphere
The volume of a sphere of radius r is given by:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3\)
The volume of each little sphere is:
\(\displaystyle V_l=\frac{4}{3}\cdot \pi\cdot 2^3\)
\(V_l=33.51\ mm^3\)
When the seven little spheres coalesce, they form a single bigger sphere of volume:
\(V_b=7*V_l=234.57\ mm^3\)
Knowing the volume, we can find the radius rb by solving the formula for r:
\(\displaystyle V_b=\frac{4}{3}\cdot \pi\cdot r_b^3\)
Multiplying by 3:
\(3V_b=4\cdot \pi\cdot r_b^3\)
Dividing by 4π:
\(\displaystyle \frac{3V_b}{4\cdot \pi}= r_b^3\)
Taking the cubic root:
\(\displaystyle r_b=\sqrt[3]{\frac{3V_b}{4\cdot \pi}}\)
Substituting:
\(\displaystyle r_b=\sqrt[3]{\frac{3*234.57}{4\cdot \pi}}\)
\(r_b=3.83\ mm\)
The surface area of the seven little spheres is:
\(A_l=7*(4\pi r^2)=7*(4\pi 2^2)=351.86\ mm^2\)
The surface area of the bigger sphere is:
\(A_b=4\pi r_b^2=4\pi (3.83)^2=184.33\ mm^2\)
The ratio between them is:
\(\displaystyle \frac{351.86\ mm^2}{184.33\ mm^2}=1.91\)
The total surface area of the seven little spheres is 1.91 times the total surface area of the bigger sphere.
23. What mass of water will give up 240 calories
when its temperature drops from 80°C to 68°C?
Answer:
20g
Explanation:
Given parameters:
Quantity of heat = 240calories
Initial temperature = 80°C
Final temperature = 68°C
Unknown:
Mass of water = ?
Solution;
To solve this problem, we use the expression:
Q = m c (t₂ - t₁)
Q is the quantity of heat
m is the mass
c is the specific heat = 1 cal/g°C
t₂ is the final temperature
t₁ is the initial temperature
Insert the parameters and solve;
Change in temperature is an absolute value
240 = m x 1 x (68 - 80)
m = 20g
A low “G” note has a frequency of 98 Hz. Which frequency of note, if played with this G, would produce a dissonant sound?
Question 21 options:
208 Hz
122.5 Hz
131 Hz
147 Hz
Answer:
the answer to this question is the first one. i'm sorry I can not say it because it delete my answer
Explanation:
A uniform electric field is directed upward and has a magnitude of 24 N/C. A charge of -6 C is placed in this
field.
The direction of the force on the charge placed in the electric field is upward.
True or False
The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.
The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.
The force on a charged particle in an electric field can be calculated using the formula:
F = q * E
Where F is the force, q is the charge of the particle, and E is the electric field.
Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:
F = (-6 C) * (24 N/C)
F = -144 N
The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.
The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.
Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.
For more such information on: force
https://brainly.com/question/12785175
#SPJ8
What happens when a rock is falling from a cliff?; When a rock is thrown off a cliff does it fall to earth?; What happens when an object falls from a cliff?; What energy changes take place in a stone that falls from a cliff?
When the rock, stone, or object falls from the ground, the gravitational potential energy will be converted to kinetic energy.
The force of gravity accelerates an object as they descend to the ground. Velocity is a measure of the speed and direction of motion, and acceleration is a change in velocity. A thing falls quicker and faster due to gravity the longer it is in motion.
When the rock, stone, or object falls, it converts the gravitational potential energy it had from being above the earth into kinetic energy. The rock will move with an increasing velocity as its kinetic energy rises. However, if one takes into account air resistance, the rock will lose energy as it falls. If the cliff is high enough, the kinetic energy will remain unchanged since the air resistance created by the velocity and the acceleration caused by gravity will be exactly equal.
To know more about types of energy:
https://brainly.com/question/21258610
#SPJ4