The temperature difference for a waterfall of height 21 m is 0.05 °C. The correct option is B.
The temperature difference for a waterfall can be calculated using the principle of conservation of energy. When water falls from a height, its potential energy is converted into kinetic energy and then into thermal energy due to the friction and turbulence created by the waterfall.
The potential energy of an object is given by the equation: PE = mgh, where m is the mass, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height.
In this case, we can assume that the mass of the water remains constant throughout the fall. The change in potential energy is then equal to the change in thermal energy.
ΔPE = Δthermal energy
mgh = mcΔT
Here, c is the specific heat capacity of water (4200 J/(kg °C)) and ΔT is the change in temperature.
We can rearrange the equation to solve for ΔT:
ΔT = gh/c
Given:
h = 21 m
g = 9.8 m/s^2
c = 4200 J/(kg °C)
Plugging in the values:
ΔT = (9.8 m/s^2) * (21 m) / (4200 J/(kg °C))
ΔT = 0.05 °C
Therefore, the temperature difference for a waterfall of height 21 m is 0.05 °C. The answer is option B.
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HELP HELP HELP NOW PLEASEEEEEEE
how could you increase the kinetic energy of a wagon without increasing its mass?
Answer:
use newtons gravity of law by launching a watermelon in frot of the wagon
Explanation:
A pinball bangs against a bumper of a pinball machine with a speed of 0.9 m/s. If the ball has a mass of 0.056 kg, what is the ball's kinetic energy?
Select the letter of each sentence that describes an example of acceleration.
A. A car follows a gentle curve in the road.
B. A batter swings a bat to hit a ball.
C. A truck parked on a hill doesn't move all day.
D. A runner slows down after finishing a race
The sentences that describe examples of acceleration are: B. A batter swings a bat to hit a ball.D. A runner slows down after finishing a race.
In both cases, there is a change in velocity, which indicates acceleration. In sentence B, the batter is exerting force to change the direction and speed of the bat. In sentence D, the runner is decelerating or slowing down after crossing the finish line. "Finishing" typically refers to the completion or conclusion of an activity or task. It implies reaching the end or final stage of something. In different contexts, "finishing" can have various meanings. For example: Finishing a race: This refers to crossing the finish line or completing a race, such as a running race, swimming race, or cycling race. Finishing a project: This implies completing all the required tasks and reaching the end goal of a project, whether it's a work-related project, school assignment, or personal endeavor.
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A student places a block on a table and hangs one mass from the block. The student lets the block go and observes the block accelerate toward the end of the table where the mass was located. The student then places the block on the table and hangs a second, larger mass from the opposite end of the block. The block accelerates in the opposite direction from the first trial. What does this experiment demonstrate? Answer:
Magnitude of acceleration
Explanation:
We know that acceleration can increase depending in the force applied on an object, any object with a greater mass will apply a greater force. F = M(a).
This Newton's second law establishes a relationship between the summary of the external force and the acceleration of the body, It is demonstrated with the change in the direction and magnitude of the acceleration in the experiment
Newton's second law establishes a relationship between the net force and the acceleration, according to the expression
∑ F = m a
where ∑F is the sum of the external forces, m the mass and the acceleration of the body
In this case we have an initial situation, the block and a baking mass, therefore an acceleration is created towards the hanging mass given by
W₁ = M₁ g
F = ma
M₁ g = m a
a = \(\frac{M_1}{m} \ g\)
where W₁ and M₁ are the weight and the masses of the mass of the body hanging under the acceleration of gravity.
In the second case, perhaps you have two masses, one on each side,
∑ F = W₁ -W₂
∑F = (M₁ -M₂) g
let's use Newton's second law
(M₁ -M₂ ) g = m a
a = \(\frac{M_1 - M_2}{m} \ g\)
We can see that in the second case the acceleration depends on the difference of the hanging masses. This is a proof of Newton's second law where the effect on acceleration is due to the sum of all external forces and not of each force individually.
In conclusion with the realization of this experiment demostrate the valid true of Newton's second law
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The entire class goes for a hike. We all pick up rocks from the valley and carry them up to Frenchman Mountain, east of Las Vegas, where we stack them up on the peak. Subsequently, the pile collapses and all the rocks roll back down the mountain to the valley below where we originally collected them. Based on this scenario, answer the following questions:
1. Before we picked up the rocks, what energy did the rocks possess if any?
2. If the rocks were moved from point A (the valley) to point B (the peak) and subsequently rolled back down to point A, was the overall energy used zero since they ended up back where they started? Explain why or why not.
The rocks were moved to the peak by the gravitational potential energy.
Describe energy.The ability to perform tasks is referred to as energy. Kinetic energy and potential energy are the two categories of mechanical energy.1) The potential energy changes when the rocks are moved from the valley to the top.
2) The rocks were moved to the peak by the gravitational potential energy. It results from where the object is located.
3) Kinetic energy is what propels the bricks down the mountain.
4) This is thus because there is no energy at all in the gravitational field.
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Complete question : The entire class goes for a hike. We all pick up rocks from the valley and carry them up to Frenchman Mountain, east of Las Vegas,
where we stack them up on the peak. Subsequently, the pile collapses and all the rocks roll back down the mountain to the valley
below where we originally collected them. Answer the following questions:
1. What energy changed by moving the position of the rocks from the valley to the peak. Explain your answer.
2. What type of energy did the work to move the rocks to the peak? Where did that energy originally come from?
3. What type of energy was used as the rocks rolled back down the mountain?
4. If the rocks were moved from point A (the valley) to point B (the peak) and subsequently rolled back down to point A was the
overall energy used zero since they ended up back where they started? Explain why or why not.
Short Constructed Response: A projectile is shot horizontally off a cliff at a speed of 30 m/s,
hitting the ground 2 seconds later.
Refer to the information and diagram above. Please show your work (which equation you are
using and how you are using it).
Part A - At what horizontal distance from the cliff did the projectile travel? (Show your work for
full credit.)
Part B - What is the height of the cliff? (Show your work for full credit.)
Horizontal range of the projectile is 55.41 m..
Maximum height of the projectile is 4.76 m.
Given parameters:
Initial speed of the projectile; u = 30 m/s.
Time of flight; T = 2 s.
We have to find,
Horizontal range of the projectile; R =?
Maximum height of the projectile; H =?
We know that,
Time of flight; T = 2u sinθ/g
⇒ 2 = (2×30× sinθ/10)
⇒ sinθ = 1/3
⇒θ = 19°.
So, Horizontal range of the projectile; R = u²sin2θ/g
= (30² × sin (2×19°)/10)
= 55.41 m.
So, answer of part A is 55.41 m.
Maximum height of the projectile; H = u²sin²θ/2g
= 30² × sin²19°/(2×10)
= 4.76 m.
So, answer of part B is 4.76 m.
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The point of a nail has an area of 0.25cm squared, and an average person has a weight of 700 N. Explain in detail why it is possible to lie on a bed of 4000 nails, but not on one single nail. Thanks
Answer:
It is possible to lie on a bed of 4000 nails, but not on one single nail because a bed of 4000 nails exerts lesser pressure than a bed of one single nail .
Explanation:
Given;
weight of an average person, W = F = 700 N
area of the nail, A = 0.25 cm² = 0.25 x 10⁻⁴ m²
The pressure exerted by a single nail is given as;
P = F / A
P = 700 / (0.25 x 10⁻⁴)
P = 2.8 x 10⁷ N/m²
The pressure exerted by 4000 nails is given as;
Total surface area of 4000 nails = 4000 x 0.25 x 10⁻⁴ m² = 0.1 m²
P = F / A
P = 700 / 0.1
P = 7,000 N / m²
From the calculated values, 4000 nails exerts less pressure on the person than one single nail because pressure decreases with increase in surface area of an object.
Thus, it is possible to lie on a bed of 4000 nails, but not on one single nail because a bed of 4000 nails exerts lesser pressure than a bed of one single nail .
When an object's velocity is changing, the forces must be...When an object's velocity is changing, the forces must be...
We need the relationship between force and velocity
There are two ways
Go through acceleration process (Apply Newton's law)Go through the momentum process(Quite difficult)Let me use the second way
\(\\ \sf\longmapsto p=mv\)
\(\\ \sf\longmapsto p\propto v\)
According to Newton's second law
\(\\ \sf\longmapsto F=\dfrac{dp}{dt}\)
\(\\ \sf\longmapsto F\propto p\)
Now
\(\\ \sf\longmapsto F\propto v\)
When velocity is more force must be more and vice-versa.Key words:-
Momentum=pMass=mVelocity=vForce=Fa 2.70-mf capacitor is connected in series with a 7.90-mh inductor. the peak current in the wires between the capacitor and the inductor is 2.30 a. what is the total electric energy in this circuit?
The energy that was stored in the capacitor and the inductor at the conclusion of the oscillation cycle makes up the entire amount of electric energy in the circuit. This circuit has a total electric energy of 1.
The following formula calculates the total energy held by the capacitor and inductor at any given moment:
\(E = E_c + E_l\)
= \((1/2)Cv_c^2 + (1/2)Li_l^2\)
Substituting the values, we get:
\(E = (1/2)(2.70 \times 10^{-6} F)(0.291\: V/s^2)^2 t^2 + (1/2)(7.90 \times 10^{-3} H)(0.788 \:A/s t)^2\)
= \(5.36 \times 10^{-6} t^2 + 2.34 \times 10^{-6} t^2\)
= \(7.70 \times10^{-6} t^2\)
As a series RLC circuit, the circuit will oscillate at a natural frequency determined by:
ω = \(1/\sqrt{(LC)\)
Substituting the values, we get:
ω = \(1/\sqrt{(2.70 \times10^{-6} F \times7.90\times 10^{-3} H)\)
= 1.
Energy is a fundamental idea in physics and refers to a physical system's ability to perform work. We come across several types of energy in daily life, including chemical, mechanical, thermal, and electrical energy. The rule of conservation of energy states that although energy can be changed from one form to another, the overall amount in a closed system never changes.
The usual units for measuring energy in physics are joules (J) or electron volts (eV). The joule, the fundamental unit of energy, is the quantity of energy needed to move a one kilogramme item one metre against a force of one newton. Other units, such calories or British thermal units, can be used to express energy. (BTUs).
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stellar nucleosynthesis can account for the existance of all elements except hydrogen and helium. true or false?
False. Stellar nucleosynthesis can account for the existence of hydrogen and helium, which are the two most abundant elements in the universe.
Stellar nucleosynthesis occurs within stars and is responsible for the synthesis of heavier elements through nuclear reactions. The process starts with the fusion of hydrogen nuclei (protons) to form helium, which is the primary source of energy in stars. Subsequent stages of stellar nucleosynthesis involve the fusion of helium and other light elements to produce heavier elements like carbon, oxygen, and beyond. So, while stellar nucleosynthesis plays a crucial role in the synthesis of elements heavier than helium, it is also responsible for the creation of hydrogen and helium in stellar interiors.
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PLS HELP MEH!!!!
Sound travels fastest in
a) air
b) water
c) glass
d) diamond
WILL MARK BRAINLIEST IF ANSWER
Answer:
hope this helps
Explanation:
Of the three phases of matter (gas, liquid, and solid), sound waves travel the slowest through gases, faster through liquids, and fastest through solids
so your answer would be B.
Assume a 4.094 mhz clock is used as the system clock and the systick selects it as the clock. What should the systick_load register be in order to generate a systick interrupt every mili second?
The load value for interrupts every one milliseconds is
\(\begin{aligned}&\mathrm{val}=1 \times 10^{-3} \times 4.094 \times 10^6 \\&\Rightarrow \mathrm{val}=4094\end{aligned}\)
The load value for interrupts every millisecond is
\(\begin{aligned}&\mathrm{val}=1 \times 10^{-6} \times 4.094 \times 10^6 \\&\Rightarrow \mathrm{val}=4.094\end{aligned}\)
However, we can only load integer values, therefore we apply
\(\Rightarrow v a l \approx 4\)
When the delay is 1 ms, it is accurate, but when the delay is 1 us, it is a little bit less. We are unable to provide an accurate 1 us delay interrupt because this requires a fractional value was calculated.
What does a SysTick timer do?The systick timer has an auto reload and a 24-bit countdown timer. An RTOS scheduler typically uses it to provide a periodic interrupt. The Cortex-M CPU clock is used as the default clock source for the systick timer.To learn about more tape timer, visit:
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What typically happens to the perception of a sound when the wave is more intense?
A. The sound is quieter.
---> B. The sound is louder.
C. The sound is the same.
Answer:
The sound is louder.
What is a soundwave?A longitudinal wave in an elastic medium, especially a wave producing an audible sensation.
The intensity of a sound wave is related to the amplitude of the wave, which is a measure of how much the air molecules are displaced from their resting position. When the amplitude of a sound wave increases, it causes more air molecules to be displaced, resulting in a higher sound pressure level and a louder sound.
This relationship between amplitude and perceived loudness is why, for example, turning up the volume on a stereo system increases the amplitude of the sound waves produced, leading to a louder sound.
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why is creavity important inn constructing scientific methods
1) A creative method can save money when you have limited resources
2) A scientific experiment is always very boring
3) There is only one experiment that can test each hypothesis
4) There is no creativity in the scientific community.
Answer:
The answer is C
Explanation:
Scientists use creativity to determine which smaller questions are likely to yield results, imagine possible answers to their questions, and devise ways to test those answers.
Creativity is the key to make the scientific experiments more efficient and and economic and hence, a creative method can save money when you have limited resources.
What is a scientific method?A scientific method is constituted by a set of stages and instructions to conduct a scientific experiment to attain a possible solution for a problem. Scientific methods have to be reproducible and effective to bring a valid solution for a hypothesis based on an observation.
Creative thinking is always paramount significance because it leads more ways and identifies the pitfalls in the available scientific methods. Creativity improves the way of designing a scientific experiments and to gather informations also.
Therefore, creative method can save money when you have limited resources is a true statement regarding a scientific method.
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if a 78.2 kg kangaroo weighs 6742 N on the planet katar, calculate katar's radius
Answer:
about 7500 km
Explanation:
The mass of planet Katar is 7.27×10^25 kg. The force on the kangaroo is given by ...
F = GmM/r^2
Solving for r, we have ...
r = √(GmM/F) = √(6.67×10^-11 × 78.2 × 7.27×10^25 / 6742) ≈ √(5.62×10^13)
This is in meters, so the radius in km is about ...
r ≈ 7500 km
Match the volcano type with its correct plate tectonic setting Cinder Cone Composite (Stratovolcano) Shield Volcano Large Igneous Provinces (LIPS) Seafloor Volcanism Question 24 [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] [Choose ] Mostly Spreading Ridges, some Mantle Plumes Super mantle plumes Various tectonic settings Subduction Zones (Convergent Margins) Mostly Mantle Plumes, some Spreading Ridges Match the volcano type with its correct magma composition Cinder Cone Composite/Stratovolcano Shield Volcano Large Igneous Provinces (LIPs) Seafloor Volcanism [Choose ] [Choose ] Mafic Intermediate, varies from felsic to mafic Pillow Lava, Mafic [Choose ] [Choose ] [Choose ]
Match the volcano type with its correct
1. Cinder Cone:
Plate Tectonic Setting: Mostly Spreading Ridges, some Mantle Plumes
2. Composite/Stratovolcano:
Plate Tectonic Setting: Subduction Zones (Convergent Margins)
3. Shield Volcano:
Plate Tectonic Setting: Mostly Mantle Plumes, some Spreading Ridges
4. Large Igneous Provinces (LIPs):
Plate Tectonic Setting: Various tectonic settings
Volcano types can be associated with specific plate tectonic settings and magma compositions. Let's match the volcano types with their correct plate tectonic settings and magma compositions:
1. Cinder Cone:
Plate Tectonic Setting: Mostly Spreading Ridges, some Mantle Plumes
Magma Composition: Mafic
Cinder cones are typically small, steep-sided volcanoes that form from the eruption of basaltic magma. They are commonly found in volcanic regions associated with spreading ridges, where tectonic plates are moving apart, or in areas influenced by mantle plumes, such as hotspot volcanism.
2. Composite/Stratovolcano:
Plate Tectonic Setting: Subduction Zones (Convergent Margins)
Magma Composition: Intermediate, varies from felsic to mafic
Composite or stratovolcanoes are characterized by their steep slopes and alternating layers of lava flows and pyroclastic materials. They are commonly found in subduction zones, where an oceanic plate is being subducted beneath continental plate. The magma composition of these volcanoes varies, ranging from felsic (high silica content) to mafic (lower silica content).
3. Shield Volcano:
Plate Tectonic Setting: Mostly Mantle Plumes, some Spreading Ridges
Magma Composition: Mafic
Shield volcanoes are large, broad, and gently sloping volcanoes that form from the eruption of basaltic magma. They are often associated with mantle plumes, such as those found in hotspot regions, as well as in volcanic areas influenced by spreading ridges.
4. Large Igneous Provinces (LIPs):
Plate Tectonic Setting: Various tectonic settings
Magma Composition: Mafic
Large Igneous Provinces (LIPs) are extensive regions of volcanic and intrusive rock formations that are associated with massive outpourings of mafic magma. They can occur in various tectonic settings, including continental rifts, hotspot regions, and flood basalt provinces.
5. Seafloor Volcanism, Pillow Lava:
Plate Tectonic Setting: Mostly Spreading Ridges
Magma Composition: Mafic
Seafloor volcanism is primarily associated with spreading ridges, where magma wells up and creates new oceanic crust. The lava erupted underwater cools rapidly, forming pillow-shaped structures known as pillow lavas. The magma composition is typically mafic, dominated by basaltic lavas.
These associations between volcano types, plate tectonic settings, and magma compositions provide insights into the geological processes and Earth's dynamics that shape the Earth's surface.
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When a radio telescope observes a region of space between two stars, it detects electromagnetic radiation that has a wavelength of 0.21 m. This radiation was emitted by hydrogen atoms in the gas and dust located in that region.
Required:
What is the frequency of this radiation?
Answer:
14.3 x 10^8Hz
Explanation:
Using
Frequency= speed of light /wavelength
Then substituting
3*10^8m/s / 0.21m
= 14.3 x10^8 Hz
a closed column of water has a diameter of 1.4 m and a depth of 9.6 m. how much pressure is at the bottom of the column? the acceleration of gravity is 9.8 n/kg . answer in units of pa.
The pressure at the bottom of the column is determined as 94,080 Pa.
What is the hydrostatic pressure of the water column?
The hydrostatic pressure of the water column is pressure exerted due to the vertical column of water and it can be calculated by applying the following formula.
Mathematically, hydrostatic pressure is given as;
P = ρgh
where;
ρ is the density of waterg is acceleration due to gravity h is the vertical height or column of the waterThe given parameters include the following;
the density of water, ρ = 1000 kg/m³the acceleration due to gravity, g = 9.8 m/s² the vertical height or column of the water, h = 9.6 mSubstitute the above parameters and solve for the pressure exerted by the water column.
P = 1000 x 9.8 x 9.6
P = 94,080 Pa
Thus, the pressure exerted by the column of the water depends on the depth of the water or water column.
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a sealed cubical container 20.1 cm on a side contains two times avogadro's number of molecules at a temperature of 20.3°c. find the force exerted by the gas on one of the walls of the container.
Gas presses against one of the container's walls with a force of 3.83 x 106 Newtons.
The ideal gas law, can be used to determine the force the gas applied to one of the container's walls.
\(20.1 cm = 0.201 m\)
Hence, the container's volume is:
\(V = (0.201 m)^3 = 0.008124 m^3\)
Using Avogadro's number, which is 6.022 x 1023 particles per mole:
\(n = 2 * Avogadro's\ number\ is\ 2 * 6.022 * 1023\ particles,\ or\ 1.2044 * 1024\ particles.\)
The ideal gas law can now be applied:
PV = nRT
We can determine the pressure:
P = nRT/V
The temperature must first be converted from Celsius to Kelvin:
T = 20.3°C + 273.15 = 293.45 K
R stands for 8.314 J/(mol*K), the gas constant.
Changing the values:
\(P = (1.2044 * 10^24) * (8.314) * (293.45) / (0.008124) (0.008124)\\P = 9.53 * 10^7 Pa\)
\(F = PA = (3.83 * 106 N) = (9.53 * 107 Pa) * (0.201 m)2.\)
As a result, the gas presses against one of the container's walls with a force of 3.83 x 106 Newtons.
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the solubility of sugar is 30 degree Celsius at 220 what does it mean
Answer:
So, that if you put 100 mL of 30 degree water in a beaker, you could add up to 220 grams of sugar and it would eventually dissolve. In other words, that mass of sugar should dissolve in 100 mL of water to make a solution that is just saturated.
The solubility of sugar is 30° C at 220. This means 220g of sugar is dissolved in 100g of solvent to make the saturated solution at 30° C. Solutions.
What is the solution?Most frequently, the solubility is represented in terms of mass per volume of water. Solubilities are frequently stated as g/100 mL, g/100 g, or g/L of water.
The ratio you provided is probably 1 g of sugar to 100 mL of water. In other words, if you put 100 mL of water at 30 degrees in a beaker, you could add up to 220 grams of sugar, and it would finally dissolve.
To generate a solution that is just saturated, the mass of sugar should dissolve in 100 mL of water.
Therefore, at 220 degrees, sugar dissolves at 30 degrees. This indicates that to create the saturated solution at 30° C, 220g of sugar must be dissolved in 100g of solvent.
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what is the weight on mars (g=3.7m/s2)
The weight on Mars is determined as 3.7 m (Newtons).
What is the weight of the object on Mars?
The weight of the object on Mars is calculated by applying Newton's second law of motion which states, the force applied to an object is proportional to the product of mass and acceleration of the object.
Mathematically, the formula for Newton's second law of motion is given as;
F = W = mg
where;
F is the applied force on the object due to gravityW is the weight of the object due to gravitym is the mass of the objectg is acceleration due to gravityFor an object with mass, m, the weight on Mars is calculated as follows;
W = 3.7 m (Newtons)
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what do you think will happen to the pressure if you decrease the volume of the box? explain your thinking using the collisions of the particles with the box walls.
As the volume of the box decreases, the pressure inside the box will increase because the same number of gas particles will now collide with a smaller area of the box walls, resulting in more frequent and forceful collisions.
The pressure of a gas is determined by the force exerted by the gas particles on the walls of the container per unit area. When the volume of the box is decreased, the same number of gas particles will be confined to a smaller volume, resulting in a higher concentration of particles per unit volume. This means that the gas particles will collide with the walls of the box more frequently, resulting in a higher pressure.
Moreover, since the area of the box walls has decreased, the same number of particles will collide with a smaller area, resulting in more forceful collisions and thus a higher pressure. Therefore, as the volume of the box decreases, the pressure inside the box will increase.
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Phineas and Ferb are riding their bikes on Main Street. They begin at 11 Mile Rd at
2:30 and get to 15 Mile Rd at 3:15.
How long, in HOURS, does it take Phineas and Ferb to travel? Show necessary
work for the conversion of minutes to hours.
Answer:
1 hour and 25 minutes
Explanation:
hopefully this helps ,, but like WHY phineas and ferb hshjdshjdhdhdbd im so childish
pain... physical, mental, emotional?
A 26.5 kg crate is pushed with a force of 1,893 N, moving the crate a distance of 13.0 m. 579 W of power was used. For how much time was the force applied
Explanation:
\(t = \frac{f \times d}{p} \)
t = ?
f = 1893N
d = 13m
P = 579W
t = { 1893×13}/(579)
t = 42.5secs
PLS ANSWER FAST WILL GIVE BRAINLEST!!!
Calculate the missing variables using the necessary formula and rules using "FORCE"
How much force is needed to accelerate a 2000kg car by 3 m/s2?
Answer:
F = 6,000 N
Explanation:
F = m × a
F = 2,000 × 3
F = 6,000 kg m/s²
F = 6,000 N
A particle, of mass 6 kg, is in equilibrium on a rough horizontal plane under a force o-f magnitude T N, which acts at an angle 15° above the horizontal. Given the coefficient of friction between the particle and the rough horizontal plane is 0.35, what values could T take?
Answer:
T is less than or equal to 19 N
Explanation:
What is the wavelength of a wave that is traveling at 343 m/s with a frequency of 1000 Hz
Answer:
\(343 \div 1000 = 0.343\)
wavelength is equivalent to the velocity divided by the frequency
If you are told that an object that weighs 20 Newtons is raised a distance of 10 meters, you know that. O A the force of gravity on the object is 20 Newtons. O B the mass of the object is 20 Newtons. O C the force of gravity on the object is 10 meters. O D the mass of the object is 10 meters. E the acceleration of the object is 200 kilogram-meters.
Answer:
A
Explanation:
A) Force of gravity is 20 N Yes - Force is measured in N
B) No.....mass is generaly measured in KG or sub units of it
C) No ... meters is a measure of distance not force
D) No acceleration is m/s^2
) two 0.85-m-long pendulum hang side by side. the masses of the pendulum bobs are 75 g and 95 g. the lighter bob is pulled aside until its string is horizontal and is then released from rest. it swings down and collides elastically with the other bob at the bottom of its arc. to what height does each bob rebound? organize and plan
The height of each bob rebound is 0.66m.
What is height?Height is the measurement of someone or something.
The velocity with which the 75g bob collides with the 95g bob is u = sqrt(2gl) = 4.12m/s Now th given collsion is headon and elastic therefore the energy and linear momentum of both will be conserves and from the law of conservationists of linear momentum and laws of conservationists of energy we get for lighter (75g) bob
v1 = (m_1 -m_2 \over m_1 +m_2 )u_1 +( 2m_2 \over m_1 +m_2 )u_2
= 0.075-0.095
\over 0.075+ 0.095 ×4.12 + 0
= -0.485 m/s ( -ve sign shows that the bob will move in opp. dir. to its initial dir.)
and v2 = (m_2 -m_1 \over m_1 +m_2 )u_2 +( 2m_1 \over m_1 +m_2 )u_1 = 0 + 2×0.075 \over 0.075+ 0.095 × 4.12 = 3.63 m/s
as at max hieght both the bob will come to rest for a moment then applying v2 - u2 = 2as we get for bob of 95g 0 - 13.21 = -2×10h or h = 13.21/20 = 0.66m for bob height.
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