The magnitude of the force that particle b exerts on particle a is 0.86 N. To find the vector force, we need to determine the direction of the force. Since particle b is moving directly away from particle a, the force it exerts on particle a is in the opposite direction, i.e., to the left. Therefore, the vector force is -0.86 N in the x-direction.
What is the force?Force is an interaction between two objects that occurs when one object exerts a push or pull on the other. Forces can cause objects to accelerate, decelerate, or change direction. In classical mechanics, the force is described by Newton's second law of motion, which states that the rate of change of momentum of an object is proportional to the applied force.
We can use Coulomb's Law to calculate the magnitude of the force between the two charged particles:
\(\mathrm{F = k \times q_1 \times q_2 / r^2}\)
where F is the force, k is the Coulomb constant, q1 and q2 are the charges of the particles, and r is the distance between them.
Let's assume that particle a has a positive charge and particle b has a negative charge. Then, we can write the following equation based on the information given:
\(\mathrm{2.38 N = k \times q_1 \times q_2 / (12.9 mm)^2}\)
We also know that the distance between the particles increases to 18.2 mm. Since particle b moves away from particle a, the direction of the force it exerts on particle a is opposite to the direction of the force that particle a exerts on particle b.
To calculate the magnitude of the force that particle b exerts on particle a, we can use the same equation and substitute the new distance:
\(\mathrm{F' = k \times q_1 \times q_2 / (18.2 mm)^2}\)
Since the charges q1 and q2 are the same, we can simplify the equation as follows:
F' = F × (12.9 mm / 18.2 mm)²
F' = 2.38 N × (0.709 mm / 1.0 mm)²
F' = 0.86 N
The magnitude of the force that particle b exerts on particle a is 0.86 N. To find the vector force, we need to determine the direction of the force. Since particle b is moving directly away from particle a, the force it exerts on particle a is in the opposite direction, i.e., to the left. Therefore, the vector force is -0.86 N in the x-direction.
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An explanation for planetary differentiation is_____________. question 5 options: all the planets are different colors and some have life, while others do not different scientist are chosen to explore planet similarities is the separation of different constituents of planetary materials resulting in the formation of distinct compositional layers. denser material tends to sink into the center and less dense material rises toward the surface. planets have different orbits around the sun and therefore consist of varying elements
One hypothesis for planetary differentiation is the process through which various layers with diverse chemical and/or physical features arise.
A planet's trajectory around a star, a natural satellite's path around a planet, or an artificial satellite's course around a space object or place, such as a planet, moon, asteroid, or Lagrange point, are examples of orbits in celestial mechanics.
A spacecraft, planet, moon, star, or other object travels on a curved route called an orbit when it is dragged by the gravity of another object.
The force of gravity is what pulls objects with mass in space. An orbit is a path an object follows as it travels around a certain location in space, such as the Moon's orbit of the Earth.
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As a light beam travels from air to glass, its...
Select one:
a. speed remains constant.
b. speed changes.
c. frequency changes.
d. wavelength remains constant.
Answer:
B. speed changes
Explanation:
As a light beam goes from air to glass, refraction occurs making it slow down, meaning the speed changes.
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.A. True
B. False
Answer:
A. true
Suppose A = probability of a day occurring on the weekend
B = probability of day occurring last half of weekend
A int B = 2/7 * 1/2 = 1/7
obviously a Sun can occur only 1/7 of the time
There is no god but Allah (SWT) and Prophet Muhammad (PBUH) is his messenger
There is no god but Allah (SWT) and Prophet Muhammad (PBUH) is his messenger. This is a contain of confession of faith in Islam religion.
About Islamic teachingsIn language, اسلام comes from the word سَلَم /سِلْم which means safe (as-salām), peace and tranquility, (al-shulhu wa al-amān), surrender (al-istislām), submission (al-khudlū'/al- id'zān), obedient (al-thā'ah). So, Islam means safety and peace because surrender is only to Allah SWT, who has no god but Him. Meanwhile, according to the term Islam is dīn or religion that originated from Allah SWT who was brought down through His Apostles, from the first Prophet: Adam as to the last Prophet: Muhammad saw for the benefit of mankind in this world and in the hereafter .
However, because divine (sky) religions have been changed by humans so that they are no longer original, the term Islam is only aimed at what was brought down by the Prophet Muhammad, namely something that was sent down by Allah SWT in the valid Al -Qur'an and al-Sunnah in the form of rules that contain orders, prohibitions and instructions for human welfare in this world and in the hereafter.
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please help, i will mark brainliest.
The valid combinations are:
a) 5, 12, and 4b) 7, 7, and 7Total resistance for a circuit in series is R_T = R1 + R2 + R3 + ...
How to determine combinations and total resistance?Question 1
To determine the valid combinations of resistors for a circuit with a total resistance of 21, find combinations where the sum of the individual resistances equals 21. Analyze each option:
5, 12, and 4:
Total resistance = 5 + 12 + 4 = 21 (Valid combination)
7, 7, and 7:
Total resistance = 7 + 7 + 7 = 21 (Valid combination)
3, 3, and 3:
Total resistance = 3 + 3 + 3 = 9 (Invalid combination)
5, 5, and 5:
Total resistance = 5 + 5 + 5 = 15 (Invalid combination)
Therefore, the valid combinations are:
5, 12, and 4
7, 7, and 7
Question 2:
Regarding the second question, the equation that calculates the total resistance for a circuit in series is:
R_T = R1 + R2 + R3 + ...
So, the correct option is:
R_T = R1 + R2 + R3 + ...
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8 of 11 Newton's Law of Cooling states that the temperature T of an object at any time t, in minutes, can be described by the equation T = Ts + (To-Ts)e-kt, where Ts is the temperature of the surrounding environment, To is the initial temperature of the object, and k is the cooling rate. What is the cooling rate of an object if the initial temperature was 110° C, the surrounding environment temperature was 10° C, and it took 25 minutes to cool down to 35° C. Round your result to 3 decimal places. k = 0.054 k = 0.055 k = 0.057 k = 0.400
The cooling rate of the object is 0.054.
Let's find the cooling rate (k) of an object using the given information. Ts = 10 °CTo = 110 °CT1 = 35 °Ct2 = 25 minutes. Now, the given formula is T = Ts + (To - Ts) e ^ -kt. Here, we know that the temperature drops from 110°C to 35°C, which is 75°C in 25 minutes. Now, we will substitute the values in the formula as follows:35 = 10 + (110 - 10) e ^ (-k × 25) => (35 - 10) / 100 = e ^ (-k × 25) => 25 / 100 = k × 25 => k = 0.054. Therefore, the cooling rate of the object is 0.054. Hence, option A is correct.
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ill give brainliest,
Nascar fans love race day when they get a chance to pull for their favorite drive. If a driver was able to travel 600 miles in 3 hours, what was his/her average speed?
A roller coaster is traveling at 80m/hr until the emergency breaks turn on, causing it to come to a complete stop in 10s. What is the acceleration of the roller coaster?
This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.
What is decelerating?Decelerating is the process of slowing down or decreasing the speed of a vehicle, person, or object. It is the opposite of accelerating, which is the process of increasing speed. Deceleration can be caused by the force of friction from the road or other surfaces, or by reducing the amount of engine power or braking. Deceleration is necessary to safely slow down and stop a vehicle and to negotiate turns or curves in the road.
The acceleration of the roller coaster can be calculated using the equation
a = (Vf - Vi)/t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity to occur.
In this case, Vf = 0m/hr, Vi = 80m/hr, and t = 10s.
Therefore, the acceleration of the roller coaster is -8m/s².
This means that the roller coaster is decelerating at a rate of 8m/s² until it comes to a complete stop.
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thuli wants to buy tv for R8500.a bank offers to loan her the money at an interest rate of 5%.she decides to pay the tv off in 3 years calculate the simple interest she will have to pay .also calculate the total she will pay
Answer:
The total she has to pay is R8500 plus the 5% interest.
PLEASE ADD BRAINEEST
a hollow sphere of radius 0.15 m, with rotational inertia 1 : 0.040 kg ' m2 about a line through its center of mass, rolls without slipping up a surface inclined at 30' to the horizontal. at a certain initial position, the sphere's total kinetic energy is 20 j. (u) how much of this initial kinetic energy
19.778 J of the initial kinetic energy is transformed into potential energy as the sphere rolls up the incline.
Radius of the sphere = 0.15 m
Rotational inertia = 1: 0.040 \(kg /m^{2}\)
Inclination = 30 degrees
total kinetic energy = 20 J
(a) The total energy of the system at the initial position is:
E_i = K_i = 20 J
At the highest point, the kinetic energy will be zero. The potential energy is almost equal to the initial kinetic energy.
E_f = U_f = K_i = 20 J
The potential energy of the sphere at the highest point is calculated by:
U_f = mgh
h = (2/3) R (1 - cos(theta))
h = (2/3)(0.15 m)(1 - cos(30°)) = 0.0675 m
The final potential energy of the system is:
U_f = mgh
U_f = (1/2) mv_\(f^2\)
U_f = 20 J
K_f = (1/2)*(1)*(9.8 \(m/s^2\))*(0.0675 m)
K_f = 0.222 J
Therefore, the initial kinetic energy is converted into potential energy,
Delta K = K_i - K_f
Delta K = 20 J - 0.222 J
Delta K = 19.778 J
Therefore we can conclude that 19.778 J of the initial kinetic energy is converted to potential energy as the sphere rolls up the incline.
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The amount of initial kinetic energy converted into rotational kinetic energy is 10 J.
How much of the initial kinetic energy is converted into rotational kinetic energy?When a hollow sphere rolls without slipping up an inclined surface, both translational and rotational motion contribute to its kinetic energy. The initial kinetic energy of the sphere is divided between its translational and rotational components. In this case, since the sphere rolls without slipping, the rotational kinetic energy is given by the equation 1/2 * I * ω^2, where I is the rotational inertia and ω is the angular velocity.
To find the amount of initial kinetic energy converted into rotational kinetic energy, we need to determine the angular velocity of the sphere. Since the sphere is rolling without slipping, the linear velocity v and angular velocity ω are related by the equation v = ω * R, where R is the radius of the sphere.
Given the radius of the sphere as 0.15 m, the rotational inertia as 0.040 kg•m^2, and the total initial kinetic energy as 20 J, we can use the equation for rotational kinetic energy and the relationship between linear and angular velocity to solve for the rotational kinetic energy.
First, we calculate the linear velocity using the equation v = ω * R:
v = ω * R
v = ω * 0.15 m
Next, we substitute the value of linear velocity into the equation for total kinetic energy to solve for the angular velocity:
20 J = 1/2 * I * ω^2 + 1/2 * m * v^2
Since the sphere is rolling without slipping, the linear velocity v can be written as v = ω * R:
20 J = 1/2 * I * ω^2 + 1/2 * m * (ω * R)^2
Now we substitute the given values and solve for ω:
20 J = 1/2 * 0.040 kg•m^2 * ω^2 + 1/2 * m * (ω * 0.15 m)^2
Simplifying the equation and solving for ω:
20 J = 0.020 kg•m^2 * ω^2 + 1/2 * m * (0.15 m)^2 * ω^2
20 J = 0.020 kg•m^2 * ω^2 + 0.01125 kg * ω^2
Combining like terms:
20 J = (0.020 kg•m^2 + 0.01125 kg) * ω^2
20 J = 0.03125 kg•m^2 * ω^2
Now, we isolate ω^2:
ω^2 = 20 J / 0.03125 kg•m^2
ω^2 ≈ 640
Finally, we take the square root of ω^2 to find the angular velocity ω:
ω ≈ √640
ω ≈ 25.3 rad/s
Now that we have the angular velocity ω, we can calculate the rotational kinetic energy:
Rotational kinetic energy = 1/2 * I * ω^2
Rotational kinetic energy = 1/2 * 0.040 kg•m^2 * (25.3 rad/s)^2
Rotational kinetic energy ≈ 10 J
Therefore, approximately 10 J of the initial kinetic energy is converted into rotational kinetic energy.
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The SI unit for force is 1 Newton= 1kg x 1 m/s2 (N). The SI unit for work is _ 1NM _______(J)
I need help with these two:)
W= F x D indicates the relationship between force, distance and work.
What is work?Work is defined as an activity in which one exerts force to do something. Work is also refers to an activity in which a person do something regularly to earn a livelihood. People looking for work, a particular task, duty, or assignment often being a part of some larger activity.
The definition of work in physics shows its relationship to energy. When work is done, energy is transferred from one place to another. Work is also known as the product of the force in the direction in which displacement is covered and displacement.
So we can conclude that Work is the product of Force and Distance.
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mix 4 L of 30°C water is 6 L of 40°C water and you’ll have water at what temperature?
Answer:
dont know
Explanation:
need points
Select the statement that is NOT true
the magnetic field lines always cross one another
the magnetic field lines have the same strength
magnetic field lines flow from north to south
magnetic field lines are concentrated at the poles
The statement that is NOT true is: "the magnetic field lines always cross one another."
What is the true statement?Magnetic field lines do not cross one other since they depict the direction of the magnetic field at every position in space. The crossing of two field lines would cause the magnetic field to have two opposite directions at the same spot, which is not possible.
The magnetic field's direction is determined by the orientation of the magnetic dipole moment at its source of starting.
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which part of the picture shows evidence of matter scattering light waves on many diffrent directions
Answer:
A- The image of the moon on the waters surface is distorted.
Explanation:
Is the moon accelerating?
Answer:
The Earth's gravity keeps the Moon orbiting us. ... This means gravity makes the Moon accelerate all the time, even though its speed remains constant.
A car has an initial velocity of 24 km/h, the car then accelerates at 2 m/s² for 6 seconds. Calculate the final velocity in km/h.
Answer:
final velocity in km/h= 67.2km/h
Explanation:
Data
initial velocity (u)= 24km/h
from 36km/h = 10m/s
then 24km/h= u
hence,
\(u= \frac{24}{36} \times 10\)
u= 20/3 m/s
Time= 6s
Acceleration= 2m/s²
\(v = u + at\)
\(v = \frac{20}{3} + 2(6)\)
\(v = \frac{20}{3} + 12\)
\(v = \frac{56}{3} \)
final velocity = 56/3 m/s
From 10m/s=36km/h
56/3 m/s = V
V(km/h)=
\( \frac{56}{3} \times \frac{36}{10} \)
V(km/h)=67.2km/h
#4, I really need help ;)
Refer to the attached image.
3. The force on charge q₁ is determined as 0.53 N.
4. The net electric force on q₁ is determined as 61.88 N
What is the force on q1?The magnitude of the force on q1 is calculated by applying Coulomb's law as shown below;
F = kq₁q₂/r²
where;
q₁ is the magnitude of first chargeq₂ is the magnitude of second charger is the distance between the two chargesk is coulomb's constantF = (9 x 10⁹ x 2 x 10⁻⁶ x 3 x 10⁻⁶ ) / (0.32²)
F = 0.53 N
4. The net force on charge 1 is due to force of charge 2 and charge 3.
F₁₂ = (9 x 10⁹ x 4 x 10⁻⁶ x 9 x 10⁻⁶ )/(0.12²)
F₁₂ = 22.5 N
F₁₃ = (9 x 10⁹ x 7 x 10⁻⁶ x 9 x 10⁻⁶ )/(0.12²)
F₁₃ = 39.375 N
F(net) = F₁₂ + F₁₃
F(net) = 22.5 N + 39.375 N
F(net) = 61.88 N
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determine the mass of silver chloride precipitated when 2 grams of sodium chloride solition reacts with silver trioxonitrate (v) solution
The mass of the precipitate is 4.86 g.
What is the mass of the precipitate?We have to know that the equation of the reaction is the first way that we can be able to obtain the mass of the precipitate by the use of the stoichiometry of the reaction.
The equation of the reaction in this case is; AgNO3 + NaCl ---> AgCl + NaNO3. Then we are told that we have that.
Mass of the NaCl = 2 g
Number of moles = 2 g/58 g/mol
= 0.034 moles
Since the reaction is 1:1, we can see that the number of moles of the product is 2 g
Mass of the precipitate = 0.034 moles * 143 g/mol
= 4.86 g
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the terminal velocity of a 3 x 10-5 kg raindrop is about 9 m/s, assuming a drag force fd = -bv, determine (a) the value of the constant b
The value of the constant b in the drag force equation is approximately -3.270 x 10^-5 Ns/m.
To determine the value of the constant b in the drag force equation Fd = -bv for a 3 x 10^-5 kg raindrop with a terminal velocity of 9 m/s, follow these steps,
1. At terminal velocity, the drag force (Fd) is equal to the gravitational force acting on the raindrop (Fg). Therefore, Fd = Fg.
2. Calculate the gravitational force (Fg) acting on the raindrop:
Fg = mass (m) × gravitational acceleration (g)
Fg = (3 x 10^-5 kg) × (9.81 m/s^2) ≈ 2.943 x 10^-4 N
3. Now that we have the gravitational force (Fg), we can use it to determine the drag force (Fd), as they are equal at terminal velocity. So, Fd = 2.943 x 10^-4 N.
4. The drag force equation is Fd = -bv. We know Fd and the terminal velocity (v), so we can solve for the constant b:
2.943 x 10^-4 N = -b × (9 m/s)
5. To find the value of b, divide both sides of the equation by -9 m/s:
b = (2.943 x 10^-4 N) / (-9 m/s) ≈ -3.270 x 10^-5 Ns/m
The value of the constant b in the drag force equation is approximately -3.270 x 10^-5 Ns/m.
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Describe the movement of air masses and the weather conditions at front 3. What type of front is it?
Answer:
Cold Front. A side view of a cold front (A, top) and how it is represented on a weather map (B, bottom).
Warm Front. ...
Stationary Front. ...
Occluded Front.
Answer:
Front 3 is an occluded front. A cold air mass moves toward warmer air. The colder, heavier air pushes the warm air upward until it’s wedged between two cold air masses. Clouds can form from the lifting of the warm air.
Explanation:PLATO
in one or two sentences, describe the difference between a qualitative and quantitative statistical analysis.
Quantitative statistical analysis involves the use of numerical data to measure and analyze patterns and relationships, while qualitative statistical analysis involves the examination of non-numerical data to identify themes, patterns, and insights.
Qualitative research methods include gathering and interpreting non-numerical data. The following are some sources of qualitative data:
Interviews
Focus groups
Documents
Personal accounts or papers
Cultural records
Observation
In the course of a qualitative study, the researcher may conduct interviews or focus groups to collect data that is not available in existing documents or records. To allow freedom for varied or unexpected answers, interviews and focus groups may be unstructured or semi-structured.
An unstructured or semi-structured format allows the researcher to pose open-ended questions and follow where the responses lead. The responses provide a comprehensive perspective on each individual’s experiences, which are then compared with those of other participants in the study.
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What is the momentum of a 110 kg football player running north at a speed of 4 m/s?
Answer:
440kgm/s
Explanation:
Momentum= mass × velocity
= 110× 4
= 440kgm/s
a tow truck pulls a 2,000-kg car with a force of 4,000 N. what is the acceleration of the car?
A) 0.5 m/s2
B) 2 m/s2
C)200 m/s2
D)2,000 m/s2
Answer:
B
Explanation:
using f=ma
a=f/m
=4000/2000
=2 m/s2
A 3-kilogram ball is accelerated from rest to a speed of 10 m/sec
The result of multiplying a particle's mass by its velocity is the fluctuation in momentum of a ball, which is 30 kg per second. Since momentum has both a magnitude and a direction, it is a vector quantity.
In the actual world, what is momentum?Almost every action that involves motion has momentum. It is an important tenet of physicsFor instance, if a team is moving forward and trying to stop, it will be difficult.
mv - mu, where u = 0 and v = 10 m/s, equals change in momentum. Note that the ball moved from rest, therefore its initial velocity was zero (u = 0).
Momentum change is equal to mv mu, which is 3*10 - 3*0, or 30.
30 kg/s = change in momentum.
What are examples and momentum?Momentum can be compared to the "power" a moving body has, or the amount of force it can exert on another body. For instance, a baseball that is thrown quickly (high velocity) and has a small bulk (big mass) can have the exact same momentum as a bowling ball that is travelling very slowly (low velocity).
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If we double the distance between two point charges then coulombs force will
Answer: The size of the force varies inversely as the distance square between the two charges. Thus, if the distance between the two charges is doubled, the attraction or repulsion will become weaker and decrease to one-fourth of the original value. The size of the force shall be proportional to the value of each charge.
Explanation:
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Consider an airplane flying with a velocity of 42 m/s at a standard altitude of 3 km. At a point on the wing, the airflow velocity is 88 m/s. Calculate the pressure at this point. Assume incompressible flow. Given: p _1 =7.01×10^4 N/m^2 and rho=0.909kg/m^3 . The pressure at a point on the wing is ×10 ^4 N/m^2
An airplane is flying with a velocity of 42 m/s at a standard altitude of 3 km. At a point on the wing, the airflow velocity is 88 m/s. The pressure at the point on the wing is \(P = 6.96 * 10^4 N/m^2\).
To calculate the pressure at a point on the wing, we can use Bernoulli's equation, which relates the pressure, velocity, and density of a fluid in steady, incompressible flow.
The equation is as follows:
P + 1/2 * ρ * \(V^2\) = constant
where P is the pressure, ρ is the density of the fluid, and V is the velocity of the fluid.
Given:
\(P_1 = 7.01 * 10^4 N/m^2\) (pressure at standard altitude)
ρ = \(0.909 kg/m^3\) (density of the fluid)
\(V_1 = 42 m/s\) (velocity of the airplane)
\(V_2 = 88 m/s\) (velocity at the point on the wing)
To find the pressure at the point on the wing, we can use Bernoulli's equation for the standard altitude and the point on the wing, and then solve for P:
\(P_1 + 1/2\) * ρ * \(V_1^2\) = \(P + 1/2\) * ρ * \(V_2^2\)
Substituting the given values:
\(7.01 * 10^4 + 1/2 * 0.909 * 42^2 = P + 1/2 * 0.909 * 88^2\)
Simplifying the equation:
\(7.01 × 10^4 + 1/2 * 0.909 * 1764 = P + 1/2 * 0.909 * 7744\)
7.01 × 10^4 + 804.906 = P + 3526.242
\(P + 4329.148 = 7.01 *10^4\)
\(P = 7.01 * 10^4 - 4329.148\)
\(P = 6.96 * 10^4 N/m^2\)
Therefore, the pressure at the point on the wing is \(P = 6.96 * 10^4 N/m^2\)
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A red cart has a mass of 4 kg and a velocity of 5 m/s. There is a 2-kg blue cart that is parked and not moving, thus its velocity is 0 m/s.
The red cart hits the blue cart.
The blue cart starts to move forward with a velocity of 6 m/s. The red cart bounces off of the blue cart and moves backwards, at a velocity of 2 m/s.
Name the TYPE of collision that occurred.
Calculate the BEFORE momentum of the red cart. Use correct units.
Calculate the BEFORE momentum of the blue cart. Use correct units.
Calculate the AFTER momentum of the red cart. Use correct units.
Calculate the AFTER momentum of the blue cart. Use correct units.
Calculate the SYSTEM’S TOTAL MOMENTUM before the collision. Use correct units.
Calculate the SYSTEM’S TOTAL MOMENTUM after the collision. Use correct units.
EXPLAIN how this example supports the Law of Conservation of Momentum. Use the evidence to support your answer of how this example supports the Law of Conservation of Momentum. Use correct units. Be specific.
Answer:dam hold up
Explanation:
12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.
Answer:
i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii) Find the value of k first: F = 400 + k(15^2) k = 28/9 F = 400 +(28/9)(30^2) = 320
Explanation:
I’m not sure what this is… help please
Answer:
A) Slower
Explanation:
Less / low energy means less / slower speed.
Have a nice day!
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A container is placed in front of a heat lamp. After a few hours, water droplets begin to form on the container. Which part of of the water
cycle does this best demonstrate?
O A evaporation
OB precipitation
OC transpiration
OD. condensation