Answer:
Avg. Velocity = 10 m/s
Acceleration = 2 m/s^2
Distance = 100 m
Explanation:
First, we need to convert the velocity of the car from km/h to m/s, since the standard unit of velocity in SI units is meters per second.
72 km/h = 20 m/s (to 2 significant figures)
We can now calculate the average velocity of the car using the formula:
average velocity = total distance ÷ total time
Since the car starts from rest, its initial velocity is 0 m/s. Therefore, the total distance it travels during the 10 seconds is:
distance = (1/2) × acceleration × time²
where acceleration is the constant acceleration of the car during the 10 seconds, which we do not know yet.
To find the acceleration, we can use the formula:
final velocity = initial velocity + acceleration × time
The final velocity of the car is 20 m/s (which we calculated earlier), the initial velocity is 0 m/s, and the time is 10 seconds. Therefore:
20 m/s = 0 m/s + acceleration × 10 s
Solving for acceleration:
acceleration = 2 m/s²
Substituting this value of acceleration into the formula for distance, we get:
distance = (1/2) × 2 m/s² × (10 s)² = 100 meters
Therefore, the average velocity of the car during the 10 seconds is:
average velocity = total distance ÷ total time = 100 meters ÷ 10 seconds = 10 m/s
The acceleration of the car during the 10 seconds is 2 m/s², and the distance travelled by the car during this period is 100 meters.
when anthony went bass fishing he rowed 4 km against the current in 2h on his return trip he still had 1 km to go to his starting point after he had been traveling for 5h. find anthony's rate of rowing in still water and the speed of the current
Anthony's rate of rowing in still water is 1.1 km/h, and the speed of the current is 0.9 km/h.
Let's assume Anthony's rate of rowing in still water is represented by "r" (in km/h), and the speed of the current is represented by "c" (in km/h).
When Anthony rows against the current, his effective speed is reduced by the speed of the current. Therefore, his speed against the current can be calculated as (r - c).
According to the given information, Anthony rowed 4 km against the current in 2 hours. This can be expressed as:
Distance = Speed × Time
4 km = (r - c) km/h × 2 h
Simplifying the equation, we have:
2(r - c) = 4
Similarly, on the return trip, Anthony still had 1 km to go to his starting point after traveling for 5 hours. This can be expressed as:
Distance = Speed × Time
1 km = (r + c) km/h × 5 h
Simplifying the equation, we have:
5(r + c) = 1
Now we have a system of two equations:
2(r - c) = 4 ----(1)
5(r + c) = 1 ----(2)
Let's solve this system of equations to find the values of "r" and "c".
From equation (1), we can simplify it as:
2r - 2c = 4 ----(3)
From equation (2), we can simplify it as:
5r + 5c = 1 ----(4)
Multiplying equation (3) by 5 and equation (4) by 2, we get:
10r - 10c = 20 ----(5)
10r + 10c = 2 ----(6)
Adding equations (5) and (6), we can eliminate "c":
20r = 22
Dividing both sides by 20, we find:
r = 22/20
r = 1.1
Substituting the value of "r" back into equation (2), we can solve for "c":
5(1.1) + 5c = 1
5.5 + 5c = 1
5c = 1 - 5.5
5c = -4.5
c = -4.5/5
c = -0.9
Since the speed cannot be negative, we discard the negative solution. Therefore, the speed of the current is 0.9 km/h.
Hence, Anthony's rate of rowing in still water is 1.1 km/h, and the speed of the current is 0.9 km/h.
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The unit we use to measure speed is
Answer:
However, to mention a few, there are other units of speed such as meters per second, feet per second, light-years per millennium, and knots. Feet per second, but specially meters per second are usually used to measure speed of animals, humans, and free fall objects. Knots is used to measure the speed of ship and/or boats.
Explanation:
Which statements describe a situation in which work is being done? Select three options.
Answer:
here's the answers!
Explanation:
A mover carries a box up a flight of stairs.
A mover carries a box across a room.
A weightlifter lifts a barbell off the ground.
hope it helps u!
Answer:
A, D, E
Explanation:
Did it
bond a is a par bond and bond b is a discount bond. all else equal, which bond has the higher coupon rate?
Bond A, a par bond, has a higher coupon rate compared to Bond B, a discount bond, assuming all other factors are equal.
Coupon rate refers to the fixed annual interest payment made by a bond issuer to the bondholder as a percentage of the bond's face value. In the case of Bond A, being a par bond means its issue price is equal to its face value, implying that the bond is issued at par or at its full value.
Bond A is therefore more likely to have a higher coupon rate to attract investors, as it provides regular interest payments relative to its face value. On the other hand, Bond B, being a discount bond, is issued at a price below its face value. This lower issue price suggests that the bondholder will receive a higher yield-to-maturity but lower interest payments, resulting in a comparatively lower coupon rate than Bond A.
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As you hold your leg in this position, the upper leg exerts a force on the lower leg at the knee joint. What is the magnitude of this force?
The upper leg applies the exact same amount of force on the knee as the tendon applies on the lower leg. f = 215.6 N
This is only logical as the net result of these forces is the canceling out and the leg staying stable in its position.
The magnitude of a force is how much it accelerates the object it acts on and is represented by a scalar. Size can also be viewed as a strength. Riding a bicycle is a simple example of force magnitude. It is a simple machine that converts human-supplied energy into kinetic energy.
The force exerted on the pedal results in the formation of energy. Work is done to convert this energy into kinetic energy and move the bicycle forward. Force magnitude describes the sum of all forces acting on an object. If all forces act in the same direction the force magnitude increases. If forces act on an object in different directions the magnitude of the force will decrease.
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When light of wavelength 350x 10 nm
falls on a potassium surface, electrons having a maximum kinetic energy of 1.31eV
are emitted.
(a) Find the work function of potassium.
(b) Find the threshold (cutoff) wavelength.
(c) Find the frequency corresponding to the cutoff wavelength.
The work function of potassium is approximately 3.564 x 10^-19 J. The threshold (cutoff) wavelength for potassium is 5.33 x 10^-7 m. The frequency corresponding to the cutoff wavelength is 5.63 x 10^14 Hz.
(a) To find the work function of potassium, we need to calculate the energy of a photon with the given wavelength and equate it to the maximum kinetic energy of the emitted electrons. The energy of a photon (E) is given by the equation E = hc/λ, where h is Planck's constant (6.626 x 10^-34 J·s), c is the speed of light (3 x 10^8 m/s), and λ is the wavelength. E = hc/λ = (6.626 x 10^-34 J·s * 3 x 10^8 m/s) / (350 x 10^-9 m) = 5.66 x 10^-19 J
Since the maximum kinetic energy is given as 1.31 eV, we convert it to joules:
1.31 eV = 1.31 x 1.6 x 10^-19 J = 2.096 x 10^-19 J
Now, we can determine the work function:
Work function = Energy of a photon - Maximum kinetic energy = 5.66 x 10^-19 J - 2.096 x 10^-19 J = 3.564 x 10^-19 J
Therefore, the work function of potassium is approximately 3.564 x 10^-19 J.
(b) The threshold (cutoff) wavelength corresponds to the minimum wavelength of light required to emit electrons from the potassium surface. At this wavelength, the energy of the photon matches the work function.
E = hc/λ_cutoff = Work function
λ_cutoff = hc/Work function = (6.626 x 10^-34 J·s * 3 x 10^8 m/s) / (3.564 x 10^-19 J) = 5.33 x 10^-7 m
Therefore, the threshold (cutoff) wavelength for potassium is approximately 5.33 x 10^-7 m.
(c) To find the frequency corresponding to the cutoff wavelength, we can use the equation:
f = c/λ_cutoff = (3 x 10^8 m/s) / (5.33 x 10^-7 m) = 5.63 x 10^14 Hz
Therefore, the frequency corresponding to the cutoff wavelength is approximately 5.63 x 10^14 Hz.
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Why is the use of carbon- 14 dating limited?
Answer:
because carbon 14 has only a short half life, rather than other elements with longer half lives.
Explanation:
✨science✨
difference Between Newton's first law and third law of motion
Newton first law state that anything in motion or rest will remain in motion or in rest until an external force is applied
Newton third law of motion state that every action have equal and opposite reaction
Answer:
Newton's laws of motion relate an object's motion to the forces acting on it. In the first law, an object will not change its motion unless a force acts on it. ... In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Explanation:
mark me brain list please
How fast does a 500kg car need to drive to have 100,000 J of kinetic energy?
Answer:
The car must move at 2 m/s to have a Ke of 2,000 Joules.
Explanation:
Mark me pls
what types of objects float on water
Explanation:
Objects like apples, wood, and sponges are less dense than water. They will float. Many hollow things like empty bottles, balls, and balloons will also float. That's because air is less dense than water.
The variables for Part I of this experiment include whether or not the car hits the barrier and the distance that the washers travel. Use the drop-down menus to identify the independent and dependent variables.
The independent variable, the one that is intentionally manipulated, is
____.
The dependent variable, the one that you measure the response in, is
___.
Answer:
1. An encounter with the barrier
2. The distance traveled by the washer.
Explanation:
Answer:
Peep above me is correct
1.An encounter with the barrier
2.The distance traveled by the washer
Explanation:
got it right on edge2020 have a nice day peeps ^w^
A copper rod of length L = 18.0 in. is to be twisted by torques T (see figure) until the angle of rotation between the ends of the rod is 3.0°. (a) If the allowable shear strain in the copper is 0.0006 rad, what is the maximum permissible diameter of the rod? (b) If the rod diameter is 0.5 in., what is the minimum permissible length of the rod?
The maximum permissible diameter of the rod is approximately 0.208 inches. The minimum permissible length of the rod is approximately 8333.33 inches.
To determine the maximum permissible diameter of the rod, we can use the formula for shear strain:
Shear Strain = Angle of rotation / Length
Given that the allowable shear strain is 0.0006 rad and the length of the rod is 18.0 in., we can rearrange the formula to solve for the maximum permissible diameter:
Diameter = 2 * sqrt(Shear Strain * Length)
Plugging in the values:
Diameter = 2 * sqrt(0.0006 rad * 18.0 in.)
Diameter ≈ 2 * sqrt(0.0108 rad * in.)
Diameter ≈ 2 * 0.104 in.
Diameter ≈ 0.208 in.
Therefore, the maximum permissible diameter of the rod is approximately 0.208 inches.
To determine the minimum permissible length of the rod, we can rearrange the formula for shear strain:
Length = Angle of rotation / Shear Strain
Given that the diameter of the rod is 0.5 in. and the allowable shear strain is 0.0006 rad, we can calculate the minimum permissible length:
Length = (Angle of rotation * Diameter) / Shear Strain
Length = (3.0° * 0.5 in.) / 0.0006 rad
Length ≈ 5.0 in. / 0.0006 rad
Length ≈ 8333.33 in.
Therefore, the minimum permissible length of the rod is approximately 8333.33 inches.
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How to find kinetic energy with force, mass, and distance
Answer:
Explanation:
Set the equations for work and kinetic energy equal to each other. Work equals force times distance and kinetic energy equals one-half the mass of the object times its velocity squared, so F_d = (m_ ÷ _2)_v2. Substitute the measurements for force, distance and mass into the equation.
The energy an object has as a result of motion is known as kinetic energy.
What is Kinetic energy?A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force.
After the work is finished, energy is transferred to the item, which then moves at a new, constant speed. Kinetic energy is the type of energy that is transferred and is dependent on the mass and speed attained.
The square of the object's velocity determines the kinetic energy. In other words, when an object's velocity twice, its kinetic energy quadruples.
Therefore, The energy an object has as a result of motion is known as kinetic energy.
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On which object will Earth's gravity act with the greatest magnitude? *
An apple
A cereal bowl
A watermelon
A TV remote
Answer: The watermelon
Explanation: The watermelon has a larger mass than the rest of the three.
An apple sitting on a desk has 100 joules of potential energy what is the kinetic energy when the apple falls
Answer:
100 J
Explanation:
All of the PE will be converted to KE , so just as the apple strikes the ground it will have KE of 100 J and PE will at that time = 0
A traditional intersection is a place where ____ or more roadway users meet and cross a point
A traditional intersection is a place where two or more roadway users meet and cross a point.
In the given sentence, the phrase "two or more" indicates that a traditional intersection involves a minimum of two roadway users. These users can include vehicles, pedestrians, cyclists, or any other mode of transportation that utilizes the road network.
An intersection is a location where roadways intersect or cross paths. It is a point where different traffic streams converge and where the movement of vehicles, pedestrians, or cyclists may intersect or interact with each other.
By combining the phrase "two or more" with the definition of an intersection, it becomes evident that a traditional intersection is a point on the road network where two or more roadway users meet and cross paths. This definition encompasses the idea that multiple individuals or vehicles converge at a single point, requiring coordination and adherence to traffic rules and regulations.
In summary, a traditional intersection is a location on the road network where two or more roadway users, such as vehicles, pedestrians, and cyclists, meet and cross paths. It serves as a point of convergence where different traffic streams intersect and necessitates coordination among the various users to ensure safe and efficient movement.
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Highest common factor of 12r and 10
I think the number 2, not sure
Clarence is taking his dog for a walk around town. After wandering around for an hour, his mother calls him, telling him dinner will be served soon, and asks him how far away he is. What value would be more helpful for him to give, his distance or his displacement?
Answer:His distance
Explanation:
a 40 kg, 5.0 m long beam is supported but not attached to, the two posts shown in the figure. a 20 kg boy starts walking along the beam. how close can he get to the right end of the beam without it falling over?
The boy can walk the entire length of the beam without it falling over. Since the beam is 5.0 m long and he can walk the entire length, he can get 0 m away from the right end of the beam without it falling over.
To solve this problem, we need to consider the torque acting on the beam when the boy is walking. The torque will be zero if the sum of clockwise torques equals the sum of counterclockwise torques.
Let's denote the distance the boy can walk from the left post as x.
1. Calculate the torque due to the weight of the beam:
The weight of the beam (W_beam) = mass_beam × g = 40 kg × 9.8 m/s² = 392 N
The beam's center of mass is in the middle, so the torque due to the beam's weight (T_beam) = W_beam × (5.0 m / 2) = 392 N × 2.5 m
2. Calculate the torque due to the weight of the boy:
The weight of the boy (W_boy) = mass_boy × g = 20 kg × 9.8 m/s² = 196 N
The torque due to the boy's weight (T_boy) = W_boy × x = 196 N × x
3. Set up the torque equation:
T_beam = T_boy
392 N × 2.5 m = 196 N × x
4. Solve for x:
x = (392 N × 2.5 m) / 196 N = 5.0 m
So the boy can walk the entire length of the beam without it falling over. However, the question asks how close he can get to the right end of the beam. Since the beam is 5.0 m long and he can walk the entire length, he can get 0 m away from the right end of the beam without it falling over.
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what amount of charge can be placed on a capacitor if the area of each plate is 7.3 cm2 ? express your answer using two significant figures.
The amount of charge that can be placed on a capacitor depends on the capacitance, which is determined by the area of each plate.
The capacitance of a capacitor is given by the formula:
C = ε0 * (A / d)
Where:
C is the capacitance,
ε0 is the permittivity of free space (a constant value),
A is the area of each plate,
d is the separation between the plates.
To determine the amount of charge, we can rearrange the formula as:
Q = C * V
Where:
Q is the amount of charge,
V is the voltage across the capacitor.
Given that the area of each plate is 7.3 cm², we can use this information to calculate the capacitance. However, the question does not provide the voltage or any other information required to calculate the amount of charge accurately. Without knowing the voltage or other relevant parameters, it is not possible to determine the exact amount of charge that can be placed on the capacitor.
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A saucepan is used to heat 1 litre (1kg) of water. If 180,000) of heat are added and the initial temperature was 10 °C. What temperature will it reach?
Answer:
i don't know lol, why you asking
If your initial speed was 15 m/s , and you were heading due west, what was your average velocity during braking
Answer:
Your average velocity would be 20 m/s.
Explanation:
hope this helped!
a 0.5 kg ball is moving horizontally with a speed of 6 m/s to the right when it strikes a vertical wall. the ball rebounds with a speed of 4 m/s. what is the magnitude of the change in linear momentum of the ball
The magnitude of the change in linear momentum of the ball is 2 kg•m/s to the left.
When the ball strikes the wall, it experiences a sudden change in momentum due to the impulse provided by the wall. Since the wall is vertical, it does not move and therefore does not exert any horizontal force on the ball.
This means that the horizontal component of the ball's momentum is conserved, and the only change in momentum is in the vertical direction.
Using the principle of conservation of momentum, the initial momentum of the ball in the horizontal direction is:
p₁ = m₁v₁ = (0.5 kg)(6 m/s) = 3 kg•m/s
The final momentum in the horizontal direction is the same as the initial momentum, since there are no external forces acting in that direction.
In the vertical direction, the initial momentum is:
p₁ = m₁v₁ = (0.5 kg)(6 m/s) = 3 kg•m/s
After rebounding, the ball is moving in the opposite direction, so its velocity is -4 m/s. Therefore, the final momentum in the vertical direction is:
p₂ = m₁v₂ = (0.5 kg)(-4 m/s) = -2 kg•m/s
The change in momentum is the difference between the final and initial momentum in the vertical direction:
Δp = p₂ - p₁ = (-2 kg•m/s) - (3 kg•m/s) = -5 kg•m/s
Since the question asks for the magnitude of the change in momentum, we take the absolute value, which gives:
|Δp| = |-5 kg•m/s| = 5 kg•m/s
However, the question asks for the direction of the change in momentum as well. Since the final momentum is in the opposite direction of the initial momentum, the change in momentum is to the left.
Therefore, change in linear momentum is 2 kg•m/s to the left.
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two protons are separated by distance d. the electric force on one of the protons measures to be 9.216x10^-25n. determine the distance
The electric force between two protons measures 9.216x\(10^{-25}\) N.The distance between the two protons is approximately 3.00 meters.This distance represents the separation between the two protons.
What is the separation distance between the protons?To determine the distance between the protons, we can use Coulomb's law, which states that the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Rearranging the formula for electric force, we find that the distance between the protons is equal to the square root of the ratio of the electric force to the product of the charges. Given that the force is 9.216x\(10^{-25}\) N and the charges of protons are equal, we can calculate the distance to be approximately 3.00 meters.
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a 100 kg crate,sliding on a floor, is brought to a stop by 25 N force what is the deceleration of the crate
Explanation:
a = ?
m = 100kg
Force = 25N
F = ma
a = F/m
a = 25/100
a = ¼
a = 0.25ms—²
deceleration = negative acceleration
deceleration = —0.25ms—²
Answer:
25neuton+100kg =125kg floor sliding
3. If you use 4x the mass of warm water as cool water, what should the ratio of the temperature
changes be?
The ratio of temperature changes should be 4:1. In other words, the warm water should change its temperature four times as much as the cool water
Assuming the same amount of heat is lost or gained by both warm and cool water, we can use the formula for heat transfer:
Q = mcΔT
where Q is the heat transferred, m is the mass, c is the specific heat, and ΔT is the change in temperature.
Let's assume that the mass of cool water is m, and the mass of warm water is 4m. If the temperature change of cool water is ΔT, then the heat transferred from the cool water is Q = mcΔT.
Since the same amount of heat is transferred to the warm water, the heat transferred from the warm water is also Q = mcΔT. However, the mass of warm water is 4m, so we can rewrite the equation as Q = (4m)c(ΔT') where ΔT' is the temperature change of warm water.
Equating the two equations for Q, we get:
mcΔT = (4m)c(ΔT')
Dividing both sides by cm, we get:
ΔT = 4ΔT'
Therefore, the ratio of temperature changes should be 4:1. In other words, the warm water should change its temperature four times as much as the cool water.
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answer right away!!—A plucked guitar string emits a dominant
frequency of 320 Hz. What is the
frequency of the 3rd harmonic?
Answer:
20000000000000hz only for this
What is the direction of the acceleration at the
instant shown?
a) West
b) South
c) North
d) East
The direction of the acceleration at the instant shown is in the direction of east. So, option (d) is correct.
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
The object in the illustration is depicted as travelling at a constant speed in a circular direction. At two points along the line, the instantaneous velocity's direction is displayed. Acceleration occurs in the direction of the velocity change, which is immediately toward the center of rotation, or the circular path's center. So, the direction of the acceleration at the
instant shown is in the direction of east. So, option (d) is correct.
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What is the efficiency when 5j is supplied to a buzzer and 2j is transferred into sound energy?
Answer:
40%
Explanation:
The efficiency of a system is calculated as the ratio of the useful power output to that of the input power.
Efficiency = useful output/input x 100%
In this case, input power = 5j, useful output = 2j
Efficiency = 2/5 x 100%
= 40%
The efficiency of the buzzer is, therefore, 40%.
What happens to the lost energy in a food web
Answer: energy loss
Explanation: the rest of the energy passes out of the food chain in a number of ways it is used as heat energy it is used for life processes movement faeces and remains are passed to decomposers