The value of the constant K in the temperature equation is 32.
The given parameters:
\(F (C) = \frac{9}{5} C \ + K\)40⁰C corresponds to 104 ⁰FThe value of K for which the value of the temperature at 40 degrees Celsius corresponds to 104 degrees Fahrenheit is calculated as follows;
\(F(C) = \frac{9}{5} C \ + \ K \\\\104 = \frac{9}{5} (40) \ + \ K\\\\104 = 72 \ + \ K\\\\104 - 72 = K\\\\32 = K\)
Thus, the value of the constant K in the temperature equation is 32.
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A 100 meter dash was held with 20 contestants. The best time was 10.7 seconds, and the worst time was 15.3 seconds. Only the fastest 10 contestants advance to the final race.
Which measure of central tendency should be used to calculate the cutoff time for the final race?
A.
range
B.
mode
C.
median
D.
mean
The measure of central tendency that should be used to calculate the cutoff time for the final race is the median.
Option C.
What is median?The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger.
To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.
So from the given data of the 100 meter dash, the measure of central tendency that should be used to calculate the cutoff time for the final race is the median.
The median will help to separate half of the data points that are smaller than the cutoff time and half of the data points are larger than the cutoff time.
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calculate the frequency of a wave using an equation
Answer:
1. f=1T. where: f is the frequency of the wave in hertz. T is the period of the wave in seconds.
2. f=vλ where: f is the frequency of the wave in hertz. v is the velocity of the wave in meters per second. λ is the wavelength of the wave in meters
3. f=cλ
Explanation:
Thermogenesis has been studied the plants in the genus arum, including skunk cabbage and the corpse flower. In these plants, what hypotheses have been provided to explain the reason behind thermogenesis? select all that apply.
Thermogenesis has been studied the plants in the genus arum, including skunk cabbage and the corpse flower. In these plants, these hypotheses have been provided to explain the reason behind thermogenesis
protection from frost damageleaf production and photosynthesis.seed germination.What is Thermogenesis?Thermogenesis, which takes place in specialised tissues such brown adipose tissue and skeletal muscle, is described as the disposal of energy through the generation of heat.
All metabolic activities involved in keeping the organism in a live condition require mandatory thermogenesis, which takes place in all organs. It also includes the energy used when food is consumed, digested, and processed (thermic effect of food, or TEF).
Thus, the reason behind thermogenesis are:
protection from frost damageleaf production and photosynthesis.seed germination.To know more about thermogenesis refer to:
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Which two measurements are used to determine BMI?
a
Weight and waist size in inches
b
Height and weight
c
How long it takes you to run a mile and your weight
d
How many situps and pushups you can do
The two measurements used to determine BMI are height and weight (option B).
What is the BMI?The body mass index (BMI) is a term that refers to a mathematical ratio that associates the weight and height of an individual, devised by the Belgian statistician Adolphe Quetelet, which is why it is also known as the Quetelet index.
The Body Mass Index takes into account weight and height. However, and despite the fact that it is a widely accepted criterion, it is not exact because it does not take into account other factors such as age, gender, percentage of fat, percentage of muscle mass, among others.
The Body Mass Index is used by doctors to have a reference parameter to assess the body mass status of a patient. From this table it is possible to identify if a person has an ideal weight, overweight or underweight.
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what is true about current that flows through resistors in parallel? all current flows through the lowest value resistor(s). all current flows through the highest value resistor(s). the current is determined by v
A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistor use in electronic circuits includes lowering current flow, adjusting signal levels, dividing voltages, influencing active devices, and terminating transmission lines.
The voltage drop across a resistor increases with resistor size and consumes more energy as a result. Voltage drop can be confirmed using Ohm's Law. Voltage in a DC circuit is equal to current times resistance.
V = I R.
Resistors are said to as being in parallel when two nodes share terminal connections. The lowest parallel resistor is larger than the comparable overall resistance.
The supply current is equal to the total of the currents flowing through all of the resistors when they are linked in parallel. The supply current is equal to the sum of the currents in a parallel circuit's branches. The potential difference across parallel connections of resistors is the same.
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If a light bulb uses 60J of electrical energy and produces 30 J of light energy, what is the percent efficiency of the light bulb?
Answer:
50%
Explanation:
If a light bulb uses 60J of electrical energy and produces 30 J of light energy, the percent efficiency of the light bulb is 50%.
What is percent efficiency?The total amount of beneficial work accomplished, excluding waste and spoilage, is known as output or work output.
This pulp creates 30 jewels' worth of light energy, for a total of 60 jewels. So that's the energy output. Let's use E. O. to symbolize it. Those are 30 Jews.
Additionally, we must calculate the light bulb's efficiency %. Therefore, we will start by computing the efficiency, which is defined as the ratio of energy output to energy input in this book.
And 30/60 is the efficiency that we obtain. Moreover, this is 1 x 2.
The straightforward ratio between output and input energy—by 100. And the result is that this is 50%. That is the required efficiency percentage for this light bulb.
Therefore, the percent efficiency of the light bulb is 50%
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Calculate the momentum when a toy car of mass 140g moves at 5m/s
Answer:
MOMENTUM= FORCE*MASS
= 140*5
= 700 kg⋅m/s
How does the Coriolis effect impact the Gulf Stream and the Brazil Current?
Answer: The Coriolis effect results in bending the direction of surface currents to the right in the Northern Hemisphere and left in the Southern Hemisphere. The Coriolis effect causes winds and currents to form the circular patterns. The direction in which they spin depends upon the hemisphere in which they are present.Coriolis Effect is named after the French mathematician and physicist Gaspard-Gustave de Coriolis. It affects the weather patterns of an area, it affects the ocean currents, and it also affects air quality.
An object of length 3.00 cm is inside a plastic block with index of refraction 1.40. If the object is viewed from directly above, what is the length of its image?
Given,
length of object, \(h_o = 3 cm\)
We know, for flat refracting surface,
Image distance = object distance
So,
magnification is = \(-1\)
length of the image,
\(h_i = magnification * h_o\\\\h_i = -1 * 3 \\\\h_i = -3cm\)
Here, negative sign means inverted image.
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A state machine whose output is determined by both the sequential logic and the combinational logic of the machine is a:
A state machine whose output is determined by both the sequential logic and the combinational logic of the machine is a Mealy state machine.
In a Mealy state machine, the output of the machine depends not only on the current state but also on the inputs present at that particular moment. The combinational logic takes into account both the current state and the inputs to produce the output. Therefore, the output of a Mealy state machine can change in response to a transition in the state and the input combination. In contrast, a "Moore state machine" is another type of state machine where the output is solely determined by the current state and not directly influenced by the inputs. The output in a Moore state machine remains constant throughout a state until a state transition occurs.
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A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.
(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.
(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:
Energy = Power × Time
Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:
Time = Energy ÷ Power
Converting the energy to watt-hours (Wh):
Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh
Converting the power to watt-hours (Wh):
Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh
Now we can calculate the time:
Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours
Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.
(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.
In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.
This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.
(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.
In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.
(d) The electromagnetic field output from an antenna can be represented by two main regions:
Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.
Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation. The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.
The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.
In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.
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A 0.2 kg baseball is pitched with a velocity of 40 m/s and is then batted to the pitcher with a velocity of 60 m/s. What is the magnitude of change in the ball's momentum?
Answer:
The magnitude of change in the ball's momentum is 4 kgm/s
Explanation:
Given;
mass of the ball, m = 0.2 kg
initial velocity of the ball, u = 40 m/s
final velocity experienced by the ball, v = 60 m/s
Therefore, the change in momentum of the ball is given as final momentum minus initial mometum;
ΔP = mv - mu
ΔP = m(v-u)
ΔP = 0.2 (60 - 40)
ΔP = 4 kgm/s
Therefore, the magnitude of change in the ball's momentum is 4 kgm/s
The magnitude of the change in the momentum of the baseball is 4 kgm/s.
To solve the problem above we need to use the formula of change in momentum
Change in momentum: This can be defined as the product of the mass and the change in velocity of a body.
The formula of change in momentum is
M = m(v-u).................. Equation 1
Where M = change in momentum, m = mass of the baseball, v = final velocity of the baseball, u = initial velocity of the baseball.
From the question
Given:
m = 0.2 kg v = 60 m/s u = 40 m/sSubstitute these values into equation 1
M = 0.2(60-40) M = 0.2(20) M = 4 kgm/sHence, The magnitude of the change in the momentum of the baseball is 4 kgm/s
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A sheet of metal and a sheet of paper are left next to each other in the sunshine. After several minutes, the metal will be warmer to the touch than the paper. The metal is a(n) and the paper is a(n)
The metal is a good conductor of heat, while the paper is a poor conductor of heat. The metal is a conductor, and the paper is an insulator.
Conductors are materials that allow the easy flow of heat or electricity through them. In the case of the metal sheet, it has high thermal conductivity, which means it efficiently transfers heat. Therefore, when exposed to sunlight, the metal sheet absorbs the heat energy and quickly becomes warmer to the touch. On the other hand, paper is an insulator, which means it has low thermal conductivity. It does not conduct heat well and acts as a barrier to the flow of heat. As a result, when exposed to sunlight, the paper sheet does not efficiently absorb or transfer heat, and therefore it remains relatively cooler compared to the metal sheet.
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which 10 gbe standard features a multimode fiber type?
The 10 GbE standard that features a multimode fiber type is the 10GBASE-SR standard.
10 GbE is an abbreviation for 10 Gigabit Ethernet, a standard for transmitting data at a rate of 10 gigabits per second (Gbps). This standard was created to improve network performance and meet the increasing demand for high-speed data transmission. It is used in a variety of applications, including data centers, enterprise networks, and storage area networks (SANs).
Multimode fiber is a type of optical fiber that has a relatively large core diameter. It allows multiple modes of light to travel through the fiber, which results in the signal being dispersed and degraded over long distances. It is commonly used for short-distance applications, such as LANs, data centers, and campus networks.
10GBASE-SR is a 10 GbE standard that uses multimode fiber as a transmission medium. It can transmit data up to a distance of 300 meters and supports a wavelength of 850 nanometers. This standard is widely used in data centers and enterprise networks due to its high speed and low cost. It is also a standard feature of many networking devices, including switches, routers, and network interface cards (NICs).
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Question 14 (1 point)
Select the items that are influenced by jet streams. Make sure to select all that
apply.
car travel
precipitation
O temperature
atmospheric chemistry
Answer:
car travel
precipitation
O temperature
Explanation:
Jet streams which is the ability of the object to move at a high speed due to its power is common among some given set of objects. Some are powered by the objects fuel while others are entirely different.
The above given options are actually affected by the jet streams.
Answer:
B. precipitation
C. temperature
Explanation:
this is late but for anyone that's looking for this, hope this will help! :D
The square pyramid has a base with an are of 64 cm2 and a slant height of 9 cm. what is the height of the pyramid? round answers to the nearest tenth as necessary.
The height of the square pyramid is approximately 8.1 cm. To find the height of the square pyramid with a base area of 64 cm² and a slant height of 9 cm, you'll need to use the Pythagorean theorem.
First, find the side length of the square base, which is the square root of the base area. The square root of 64 cm² is 8 cm.
Next, consider a right triangle formed by the pyramid's height (h), half of the base side length (8 cm / 2 = 4 cm), and the slant height (9 cm). Using the Pythagorean theorem, the formula will be: h² + (4 cm)² = (9 cm)²
h² + 16 cm² = 81 cm²
h² = 81 cm² - 16 cm²
h² = 65 cm²
h = √65 cm
Round the height to the nearest tenth: h ≈ 8.1 cm
So, the height of the square pyramid is approximately 8.1 cm.
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1. How is an electromagnet different from other magnets?
O It can repel other magnets
It has poles
It is powered by electricity
O
O It attracts iron
An electromagnet different from other magnets as it is powered by electricity.
What is electromagnet ?An electromagnet is a type of magnet where an electric current creates the magnetic field. The wire that makes up an electromagnet is typically twisted into a coil. A magnetic field is produced by a current flowing through the wire and is concentrated in the hole, designating the center of the coil.
Electromagnets have a few drawbacks, including the fact that they heat up quickly and waste a lot of electrical energy as a result. The steady magnetic field must be maintained for a continuous power supply.
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An athlete whirl a 6. 90-kg hammer tied to the end of a 1. 0-m chain in a horizontal circle. The hammer move at the rate of 0. 9 rev/. (a) What i the centripetal acceleration of the hammer?
The centripetal acceleration of the hammer is 32 m/s².
What is centripetal acceleration?a body moving through a circle experiences centripetal acceleration. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction), when a body travels in a circular path, its direction is constantly changing, which causes a change in velocity, which results in an acceleration.
Toward the circle's centre, the acceleration is pointed radially. The centripetal acceleration, denoted by the symbol ac, has a magnitude equal to the square of the body's speed along the curve divided by the distance r from the circle's centre to the moving body, or ac = v2/r.
The length of the chain is: r = 1.0m
The angular speed of the hammer is: ω = 0.9 rev/s
We have given the centripetal force as
\($a_c = \frac{c^2}{r}\)
\($ =\frac{( rw)^2}{r}\)
= rw²
= (1.0)(0.9)²
= (1.0)(0.9(2π rad/1rev))²
= (1.0)(5.654867 rad/s)²
= 31.977521
≈ 32 m/s²
Thus, The centripetal acceleration of the hammer is 32 m/s².
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Determine the thermal voltage for a diode at a temperature of 20 degrees celsius
Near the critical point of a pure fluid, the Gibbs energy obeys the scaling function λG(t,p)=G(λ a
⋅t,λ a
p) where the reduced temperature, pressure, and volume displacements are t= T c
T c
−T
p= P c
P c
−P
v= V
ˉ
c
V
ˉ
− V
ˉ
c
(a) Differentiation of G with respect to pressure gives the volume displacement, v=( ∂p
∂G
) Use Eqs.(1) and (3) to derive the scaling law for v(t,p) in terms of a t
and a p
. (b) The coefficient of thermal expansion, α p
, is given by α p
=( ∂t
∂v
) Use your result from part (a) to derive the scaling law for α p
(t,p) in terms of a t
and a p
. (c) Use your result from part (b) with p=0 and λ a
⋅t=1 to get the behavior of α p
(t,0) along the critical isobar. (d) The Gibbs energy scaling exponents, a t
and a p
, are related to the experimental coexistence curve exponent, β, and the experimental compressibility exponent, δ, by β= a t
1−a p
and δ= 1−a p
a p
Use Eqs.(5), to express your power law representation for α p
(t,0) in part (c) in terms of the experimental exponent(s). Hint: You will find that the exponent that governs the temperature dependence of α p
(t,0) is independent of δ.
The scaling law for volume displacement, v(t, p), in terms of scaling exponents aₜ and aₚ is given by v(t, p) = aᵥ / (∂G/∂(λₐ⋅t)).
The scaling law for v(t, p) in terms of aₜ and aₚ, we can start with the given expression for the Gibbs energy scaling function:
λG(t, p) = G(λₐ⋅t, λₐ⋅p) ---(1)
We differentiate this equation with respect to pressure (p) while treating t as a constant:
∂(λG)/∂p = (∂G/∂p)⋅(∂(λₐ⋅p)/∂p)
The derivative of λₐ⋅p with respect to p is λₐ. Now, using the relation v = (∂p/∂G), we can rewrite the above equation as:
v(t, p) = (∂p/∂G) = (∂(λG)/∂p) / (∂(λₐ⋅p)/∂p) = (∂G/∂p) / λₐ
Since G is a function of λₐ⋅t and λₐ⋅p, we can express ∂G/∂p as:
∂G/∂p = (∂G/∂(λₐ⋅p))⋅(∂(λₐ⋅p)/∂p)
Plugging this back into the equation for v(t, p), we get:
v(t, p) = (∂G/∂(λₐ⋅p)) / (λₐ⋅(∂(λₐ⋅p)/∂p))
Now, substitute the scaling function λG(t, p) from equation (1) into the above equation:
v(t, p) = (∂(λG)/∂(λₐ⋅p)) / (λₐ⋅(∂(λₐ⋅p)/∂p))
Simplifying further, we obtain:
v(t, p) = (∂(G(λₐ⋅t, λₐ⋅p))/∂(λₐ⋅p)) / (λₐ⋅(∂(λₐ⋅p)/∂p))
Using the chain rule of differentiation, we can rewrite the numerator as:
∂(G(λₐ⋅t, λₐ⋅p))/∂(λₐ⋅p) = (∂G/∂λₐ⋅t)⋅(∂(λₐ⋅t)/∂(λₐ⋅p))
Since (∂(λₐ⋅t)/∂(λₐ⋅p)) = (∂t/∂p), we can further simplify the expression:
v(t, p) = (∂G/∂λₐ⋅t) / (λₐ⋅(∂t/∂p))
Introduce the volume displacement scaling factor aᵥ as:
v(t, p) = aᵥ⋅(∂G/∂λₐ⋅t) / (λₐ⋅(∂t/∂p))
Comparing this equation with the desired form v(t, p) = aₜ⋅(∂t/∂p), we can conclude that:
aₜ = aᵥ / (∂G/
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Maximum voltage produced in an AC generator completing 60 cycles in 30 sec is 250V. (a) What is period of armature? (b) How many cycles are completed in T/2 sec? (c) What is the maximum emf produced when the armature completes 180 0 rotation?
Answer:
a. 2 Hz b. 0.5 cycles c . 0 V
Explanation:
a. What is period of armature?
Since it takes the armature 30 seconds to complete 60 cycles, and frequency f = number of cycles/ time = 60 cycles/ 30 s = 2 cycles/ s = 2 Hz
b. How many cycles are completed in T/2 sec?
The period, T = 1/f = 1/2 Hz = 0.5 s.
So, it takes 0.5 s to complete 1 cycles. At t = T/2 = 0.5/2 = 0.25 s,
Since it takes 0.5 s to complete 1 cycle, then the number of cycles it completes in 0.25 s is 0.25/0.5 = 0.5 cycles.
c. What is the maximum emf produced when the armature completes 180° rotation?
Since the emf E = E₀sinθ and when θ = 180°, sinθ = sin180° = 0
E = E₀ × 0 = 0
E = 0
So, at 180° rotation, the maximum emf produced is 0 V.
What is the change in thermal energy E if the coefficent of kinetic friction between the box and floor is .4 , the distance the box moves is 17m and the force applied is 38 N?
This question can be solved using the concept of friction energy.
The thermal energy change is b "258.4 J".
The change in thermal energy will be equal to the friction energy produced during the motion of the box.
\(Change\ In\ Thermal\ Energy = E = Friction\ Energy\\\\E = \mu fd\)
where,
μ = coefficient of kinetic friction = 0.4
f = force applied = 38 N
d = distance traveled by the box = 17 m
Therefore,
\(E = (0.4)(38\ N)(17\ m)\)
E = 258.4 J
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You have viewed multiple unknown astronomical objects in this lab activity. In all tests, what was your test variable (independent variable)?
The amount of an element in each object
The type of elements in each spectrum
The astronomical object viewed by the spectrometer
Answer:
Could you give information about the lab
Explanation:
Answer:
The spectrum of each astronomical object
Explanation:
I took the test and got it right
For a certain transverse wave, the distance between two successive maxima is 0.548 m and eight maxima pass a given point along the direction of travel every 11.4 s. Calculate the wave speed.
Answer:
Explanation:
Wave speed = distance between two successive maxima / time for eight maxima to pass = 0.548 m / 11.4 s = 0.048 m/s
A ball is thrown horizontally at a height of 1.6 metres above the ground, with initialspeed 14 m s^-1a)Find the time of flight of the ball, giving the answer as a fraction.b)Find the range of the ball.
Given:
The initial height of the ball, h=1.6 m
The initial speed of the ball, u=14 m/s
To find:
a) The time of flight of the ball.
b) The range of the ball.
Explanation:
As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.
Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.
The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.
a)
From the equation of motion,
\(h=u_yt+\frac{1}{2}gt^2\)Where g is the acceleration due to gravity and t is the time of flight of the ball.
On substituting the known values,
\(\begin{gathered} 1.6=0+\frac{1}{2}\times9.8\times t^2 \\ \implies t=\sqrt{\frac{2\times1.6}{9.8}} \\ =0.57\text{ s} \end{gathered}\)b)
The range of the ball is given by,
\(R=u_xt\)On substituting the known values,
\(\begin{gathered} R=14\times0.57 \\ =7.98\text{ m} \end{gathered}\)Final answer:
a) The time of flight of the ball is 0.57 s
b) The range of the ball is 7.98 m
a)Could electronic devices charge themselves without being plugged into an electricity source?
b)Does the negative mass of antimatter mean that it's gravitationally repelled from stars?
c)How can a material at a certain temperature have all of its molecules at the same energy?
Answer:
a=no the electricity device can't be charged themselves without plugging it.
b=antimatter does not have a negative mass
c= temperature does not have all of its particles
What happens to the force between two charges when each charge is doubled and the distance between them is 1/4 its original
magnitude?
Answer:
F' = 64 F
Explanation:
The electric force between charges is given by :
\(F=\dfrac{kq_1q_2}{r^2}\)
Where
q₁ and q₂ are charges
r is the distance between charges
When each charge is doubled and the distance between them is 1/4 its original magnitude such that,
q₁' = 2q₁, q₂' = 2q₂ and r' = (r/4)
New force,
\(F'=\dfrac{kq_1'q_2'}{r'^2}\)
Apply new values,
\(F'=\dfrac{k\times 2q_1\times 2q_2}{(\dfrac{r}{4})^2}\\\\=\dfrac{k\times 4q_1q_2}{\dfrac{r^2}{16}}\\\\=64\times \dfrac{kq_1q_2}{r^2}\\\\=64F\)
So, the new force becomes 64 times the initial force.
Hello I don’t quite understand this question I could really use some help thank you! :)
The necessary to determine the amount of thermal energy applied to the water by the stove is option C. The initial temperature of the room, the initial mass of water, the specific heat of water, the latent heat of fusion of water, and the boiling point of water.
The latent heat of fusion, also known as enthalpy of fusion, is the quantity of strength that should be furnished to a solid substance (generally in the form of heat) so as to cause a trade in its bodily kingdom and convert it right into a liquid.
Thermal electricity refers to the energy contained inside a device that is chargeable for its temperature. heat is the go with the flow of thermal power. a whole branch of physics, thermodynamics, offers how heat is transferred between distinct systems and the way paintings is carried out inside the method (see the 1ˢᵗ regulation of thermodynamics.
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A 3kg crab was moving at 1 m/s in the shore before the ride pushed him for 5 seconds. If his final speed was 3 m/s, what force did the tide push him with?
Answer:
\(1.2\; {\rm N}\), assuming that all other forces on this crab were balanced.
Explanation:
The impulse \(J\) on an object is equal to the change in momentum \(\Delta p\). In other words:
\(J = \Delta p\).
If the mass \(m\) of the object stays the same (as in the case of this question), the change in momentum can be rewritten as:
\(J = \Delta p = m\, \Delta v\), where \(\Delta v\) is the change in velocity.
Impulse is also equal to the net force on the object \(F_{\text{net}}\) times the duration \(\Delta t\) over which the force is applied:
\(J = F_{\text{net}}\, \Delta t\).
Equate the two expressions for \(J\) to obtain:
\(F_{\text{net}}\, \Delta t = m\, \Delta v\).
In this question:
\(\Delta t = 5\; {\rm s}\) is the duration over which the force was applied,\(m = 3\; {\rm kg}\) is the mass of the crab, and\(\Delta v = (3 - 1)\; {\rm m\cdot s^{-1}} = 2\; {\rm m\cdot s^{-1}}\) is the change in the velocity of the crab.Rearrange \(F_{\text{net}}\, \Delta t = m\, \Delta v\) and solve for the net force \(F_{\text{net}}\):
\(\begin{aligned}F_{\text{net}} &= \frac{m\, \Delta v}{\Delta t} \\ &= \frac{(3\; {\rm kg})\, (2\; {\rm m\cdot s^{-1}})}{5\; {\rm s}} \\ &= 1.2\; {\rm kg \cdot m\cdot s^{-2}} \\ &= 1.2\; {\rm N}\end{aligned}\).
Assuming that all other forces on this crab are balanced, the net force on the crab would be equal to the force from the tide. Hence, the tide would have pushed the crab with a force of \(1.2\; {\rm N}\).
A wave with a wavelength of 3 m travels with a frequency of 450 Hz. What is its speed? Answer quickly.
The speed of a wave with a wavelength of 3m and frequency of 450Hz is 1350 meters per seconds.
How to calculate the speed of a wave?Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;
λ = c ÷ f
Where c is speed, f is frequency and λ is wavelength.
Given the data in the question;
Wavelength λ = 3mFrequency f = 450 Hz = 450 s⁻¹Speed c = ?Plug the given values into the above formula and solve for speed v.
λ = c ÷ f
c = λ × f
c = 3m × 450s⁻¹
c = 1350 ms⁻¹
Therefore, the speed of the wave is 1350m/s.
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