You are driving at 15.0 m/s when you suddenly slam on the brakes to avoid a collision. You come to a complete stop. When you stop your acceleration
is determined by your tires and the road conditions, and it is a constant -10.3 m/s2. The skidmarks you leave behind can be measured to determine
your displacement. How long will your skid marks be?
A. 14.3 m
B. 32.7 m
C. 10.9 m
D. 28.6 m
Answers
Please find attached photograph for your answer. The answer is c. 10.9 m.
The skidmarks you leave behind can be measured to determine
your displacement, the skid mark would be 10.9 meters long, therefore the correct answer is option C.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
As given in the problem, you are driving at 15.0 m/s when you suddenly slam on the brakes to avoid a collision. You come to a complete stop. When you stop your acceleration is determined by your tires and the road conditions, and it is a constant -10.3 m/s2. The skidmarks you leave behind can be measured to determine your displacement.
Now using the third equation of motion,
v² - u² = 2×a×s
0 - 15² = 2 ×(-10.3)×s
s = 10.9 meters
Thus, the skid mark would be 10.9 meters long, therefore the correct answer is option C.
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Related Questions
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
Answers
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
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As you move the cursor around the building, during placement, the elevation tag turns to point at the building (T/F)
Answers
As you move the cursor around the building, during placement, the elevation tag turns to point at the building as True.
A cursor is a position indicator on a computer screen where a user can enter text. Also called a caret. The word cursor comes from the Latin cursor, which means a runner. A cursor is a temporary storage or a temporary workstation.
Assigned by the database is his server when a user performs her DML operations on a table. Cursors are used to store database tables. There are two types of cursors implicit cursors and explicit cursors. Appears as an I-bar cursor when placed over the selectable text.
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2. Gerard is riding his bicycle directly east. His maximum
instantaneous velocity was 8 meters per second and his
minimum instantaneous velocity was 0 meters per second. He
covered 7.20 kilometers in 20.0 minutes. What is his average
velocity for the ride?
Answers
Gerard's average velocity for the ride is 6 meters per second.
To find Gerard's average velocity for the ride, we can use the formula:
Average velocity = Total displacement / Total time
First, we need to convert the distance traveled from kilometers to meters:
7.20 kilometers * 1000 = 7200 meters
Next, we convert the time from minutes to seconds:
20.0 minutes * 60 = 1200 seconds
Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:
Total displacement = 7200 meters
Finally, we substitute the values into the average velocity formula:
Average velocity = 7200 meters / 1200 seconds
Average velocity = 6 meters per second
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Is the force exerted by the scale on the superball greater than, less than, or equal to the force exerted by the scale on the clay
Answers
Answer: A glob of very soft clay is dropped from above onto a digital scale. The clay sticks to the scale on impact. A graph of the clay's velocity vs. time, clay (t), is given, with the upward direction defined as positive.
The experiment is then repeated, but instead of using the clay glob, a superball with identical mass is dropped from the same height onto the scale.
Both the clay and the superball hit the scale 2.9s after they are dropped. Assume that the duration of the collision is the same in both cases and the force exerted by the scale on the clay and the force exerted by the scale on the superball are constant.
Explanation:
4. While cleaning your bedroom, you move your mattress to vacuum underneath your bed. You use a force of 48 N to move the mattress 1.5 meters out of the way. How much work was done?
Answers
Answer:
72 J
Explanation:
Use the Work formula
W= F x d
Given:
F - 48 N
d - 1.5 m
Solution:
W= F x d
W= 48 N x 1.5 m
W= 72 J
write down the value of
920 kg in g
Answers
Answer:
920000
Explanation:
Each kg contains 1,000 grams
In which of the following substances would convection most likely occur?airicesolid metalhard plastic
Answers
To find
In which of the following substances would convection most likely occur?
Explanation
Convection usually occurs in liquid and gases.
So among the following substance convection occurs in air
Conclusion
The answer is air
Assuming that H0 = 70 km/s/Mpc , calculate the mass of the parent galaxy.
A small satellite galaxy is moving in a circular orbit around a much more massive parent and just happens to be moving exactly parallel to the line of sight as seen from Earth. The recession velocities of the satellite and the parent galaxy are measured to be 6450 km/s and 6500 km/s , respectively, and the two galaxies are separated by an angle of 0.1∘ in the sky.
Answers
The mass of the parent galaxy is 3.42 x 10^12 solar masses assuming H0 = 70 km/s/Mpc.
How do we calculate?the equation for the mass of a galaxy is :
M = (v^2 * r) / G
H0 = 70 km/s/Mpc
v_satellite = 6450 km/s
v_parent = 6500 km/s
We apply the equation for the Hubble law, in order to find the distances to the galaxies:
d_satellite = v_satellite / H0 = 92.1 Mpc
d_parent = v_parent / H0 = 92.9 Mpc
θ = 0.1∘
d = d_satellite * (θ/60) = 0.026 Mpc
We have the equation for the mass of the parent galaxy as :
M = (v^2 * r) / G
M = (6500 km/s)^2 * (0.026 Mpc) / G = 3.42 x 10^12 solar masses
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Hannah tests her new sports car by racing with Sam, an experienced racer. Both start from rest, but Hannah leaves the starting line 1.00 s after Sam does. Sam moves with a constant acceleration of 3.50 m/s2, while Hannah maintains an acceleration of 4.90 m/s2. Find (a) the time at which Hannah overtakes Sam, (b) the distance she travels before she catches him, and (c) the speeds of both cars at the instant Hannah overtakes Sam.
Answers
Answer:
a) t = 6.46 s, b) x = 72.98 m, c) v₁ = 26.75 m / s, v₂ = 22.61 m / s
Explanation:
This is an exercise in kinematics, let's write the expressions for each person
Hanna
leaves a time t₀o = 1s after Sam's output, both with zero initial velocity and acceleration of a₁ = 4.90 m / s²
x₁ = 0 + ½ a₁ (t-t₀) ²
v₁ = 0 + a₁ (t-t₀)
Sam
with an acceleration of a₂ = 3.50 m / s² and with an initial velocity of zero
x₂ = 0+ ½ a₂ t²
v₂ = 0 + a₂ t
a) at the point where the position of the two is found is the same
x₁ = x₂
½ a₁ (t-t₀) ² = ½ a₂ t²
let's solve
t-t₀ = \(\sqrt{\frac{a_2}{a_1} }\) t
t (1 - \(\sqrt{ \frac{a_2}{a_1} }\)) = t₀
t = \(\frac{t_o}{ 1-\sqrt{ \frac{a_2}{a_1} } }\)
let's calculate
t = \(\frac{ 1}{1- \sqrt{\frac{3.50}{4.90} } }\)
t = \(\frac{1}{1- 0.845}\) 1 / 1- 0.845
t = 6.46 s
b) the distance traveled is
x = ½ a₂ t²
x = ½ 3.5 6.46²
x = 72.98 m
c) Hanna's speed
v₁ = 4.9 (6.46 -1)
v₁ = 26.75 m / s
sam's speed
v₂ = a2 t
v₂ = 3.50 6.46²
v₂ = 22.61 m / s
The resistance RT of a platinum varies with temperature T(°C), as measured on the constant-volume gas thermometer according to the equation RT = Ro(1+AT+BT^2). Where A = 3.8×10^-3°C^-1 and B = -5.6×10^-7°C^-2. Calculate the temperature that would be on indicated on a platinum thermometer, when the gas scale reads 200°C.
Answers
The resistance indicated by the platinum thermometer at 200°C is 1.648 times the reference resistance Ro at 0°C.
The given equation is RT = Ro(1+AT+BT²), where A = 3.8×10⁻³°C⁻¹ and B = -5.6×10⁻⁷°C⁻². To determine the temperature that would be indicated on a platinum thermometer when the gas scale reads 200°C, we will have to use the given formula. RT = Ro(1+AT+BT²) .....(i)We know that the gas scale reads 200°C. Therefore, we can substitute T = 200°C in equation (i).RT = Ro (1 + A × 200 + B × 200²) = Ro (1 + 0.76 - 0.112) = Ro (1.648)Thus, the resistance that the platinum thermometer would indicate is 1.648 times the reference resistance Ro at 0°C. This is the solution to the problem.In summary, The given equation is RT = Ro(1+AT+BT²), where A = 3.8×10⁻³°C⁻¹ and B = -5.6×10⁻⁷°C⁻². To determine the temperature that would be indicated on a platinum thermometer when the gas scale reads 200°C, we substituted T = 200°C in equation (i) to get RT = Ro (1 + A × 200 + B × 200²) = Ro (1 + 0.76 - 0.112) = Ro (1.648).For more questions on thermometer
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what is a shargaff rule
Answers
According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.
Who is Chargaff ?Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.
Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.
He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.
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Define a dipole. Hence, write the expression for calculating the electric moment of a dipole
Answers
Answer:
Explanation:
An electric dipole is formed by two point charges +q and −q connected by a vector a. The electric dipole moment is defined as p = qa
in the early solar system,comets that struck earth may have brought in
A.water
B.advanced life
c.plankton
D.all of the above
Answers
\(\huge{\mathbb{\tt { QUESTION↓}}}\)
In the early solar system,comets that struck earth may have brought in
\(\color{green}{\tt{O} \: \: \color{black}{\tt {A.water}}}\)
\(\color{green}{\tt{O} \: \: \color{black}{\tt {B.Advanced Life}}}\)
\(\color{green}{\tt{O} \: \: \color{black}{\tt {C.Plankton}}}\)
\(\color{green}{\tt{O} \: \: \color{black}{\tt {D. All \: of \: the \: above}}}\)
\(\huge{\mathbb{\tt { ANSWER↓}}}\)
\(\color{red}{\tt {D. \: All \: of \: the \: above}}\)
\(\color{black}{\tt {because \: the \: true \: answer \: is \: comet}}\)
\({\boxed{\boxed{\tt{WHAT \: IS \: COMET?}}}}\)
\(\color{black}{\tt{A \: comet \: is \: an \: icy, \: small \: Solar \: System \: body}}\)
\(\color{black}{\tt { that, \: when \: passing \: clos \: e to}}\)
\( \color{black}{\tt {the \: Sun, \: warms \: and \: begins \: to \: release}}\)
\(\color{black}{\tt { gases, \: a \: process \: that \: is \: called \: outgassing. }}\)
\(\color{black}{\tt{This \: produces \: a \: visible \: atmosphere \: or \: coma,}}\)
\(\color{black}{\tt{and \: sometimes \: also \: a \: tail}}\)
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→XxKim02xXwhat are the strength and direction of the electric field at the position indicated by the dot in (figure 1)?
Answers
The strength of the electric field is 2157 N/C, the angle at the net electric field is 9.33° above the horizontal.
Strength of the electric field:
= E = k Q / d²
Given;
k = 8.99 · 10⁹
d 1 = 5 cm = 0.05 m
Q 1 = 3 n C = 3 · 10⁻⁹ C
E 1 = 8.99 · 10^9 · 3 · 10⁻⁹ C / ( 0.05 m )² = 10,788 N / C
E 1 = 10,788 i + 0 j
(d 2)² = √ (5² + 10²) =√ 125 = 11.18 cm = 0.1118 m
E 2 = 8.99 · 10⁹ · 3 · 10⁻⁹C / ( 0.1118 m )² = 2,157 N/C
Angle:
cot⁻¹ ( 5/10 ) = cot⁻¹ 0.5 = 63.43°
= E 2 = cos 63.43° · 2,154 i + sin 63.43° · 2,154 j
= E 2 = 963.46 i + 1,927.02 j
E = E 1 + E 2 = 11,731.46 i + 1,927.02 j
= √ (11,731.46² + 1,927.02² )
= 11,888 N/C
α = tan⁻¹ ( 1,927.02/11,731.46) = tan⁻¹ 0.1643 = 9.33° above the horizontal.
-- The given question is incomplete, I answer the question in general according to my knowledge and the complete question is
"What are the strength and direction of the electric field at the position indicated by the dot in (figure 1)? Where, the two positive charges of 3 nC are at a distance of 10 cm and the distance between the first proton and the position indicated is 5 cm." --
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Voltage will always make electrons move from: a high voltage area to a low voltage area. a low voltage area to an area of high resistance. a low voltage area to a high voltage area. a closed circuit to an open circuit .
Answers
Answer:
Explanation:
Current is the flow of electrons. The voltage moves electrons from a strong electric field to a weak electric field. Thus, the correct option is
a high voltage area to a low voltage area.
The diagram below shows the velocity vectors for two cars that are moving
relative to each other.
45 m/s west
25 m/s east
Car 1.
Car 2
From the frame of reference of car 2, what is the velocity of car 1?
OA. 70 m/s east
B. 20 m/s west
OC. 70 m/s west
OD. 20 m/s east
SUBMIT
Answers
The velocity of the car 1 can be seen from the calculation as 20 m/s West
What is relative motion?
A coordinate system or point of view used to observe motion is known as a frame of reference. It can be used as a guide when describing an object's position, speed, and acceleration. Different frames of reference may result in various motion observations.
The relative velocity is the velocity of an object or observer as observed from a particular frame of reference.
We can see that the velocity of the car 1 is;
45 m/s - 25 m/s
= 20 m/s West
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In the video your blood is compared to a __________________ that delivers oxygen to your body and picks up CO2 to be released out when you breath.
Answers
Answer:
delivery truck
Explanation:
because i got it right
models are frequently used in science to assist in the understanding of complex information. Models can include items like a working volcano, and aquarium, or a stream table. What type of model are each of these items?
A) two dimensional
b) three dimensional
c) mental explanation
d) Computer simulation
Answers
A baseball pitcher throws a fastball at a speed of 44 m/s. The acceleration occurs as the pitcher holds the ball in his hand and moves it through an almost straight-line distance of 3.5 m. Calculate the acceleration, assuming it is uniform. Compare this acceleration to the acceleration due to gravity.
Answers
v = s/t
44 m/s = 3.5 m/t
t = 3.5 m : 44 m/s
t = 0.08 s
a = v/t
a = 44 m/s/0.08 s
a = 550 m/s²
a : g = 550 m/s² : 10 m/s²
a : g = 55 : 1
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2. What energy source produces most of the electrical energy in the United States?
natural gas
O oil
O coal
Answers
Answer:
Nat gas
Explanation:
Approx:
Natural gas 38% coal 21% oil 19%
What is the angle of refraction for a beam of light moving from a prism to air if the angle of incidence is 30° and the prism’s index of refraction is 1.6?
Answers
Answer:
Refraction involves passing through a boundary (choice a) and changing speed (choice ... A ray of light in air is incident on an air-to-glass boundary at an angle of 30. ... If the index of refraction of the glass is 1.65, what is the angle of the refracted ray ... The critical angle is the angle of incidence (which is always in the more ...
Explanation:
which form of the energy is used to generate electrical energy in a tidal power station
Answers
Tidal energy is the form of energy used to generate electrical energy.
The form of the energy is used to generate electrical energy in a tidal power station is kinetic energy.
What is kinetic energy?Kinetic energy is the energy that an object has as a result of its movement. If we intend to accelerate an object, we should indeed apply force to it. Using force requires us to put in effort.
After work is completed, energy is transmitted to the object, and the object moves at a new constant speed.
Tidal energy is generated by the movement of our tides and oceans, where the intensity of the water from tide rise and fall is a type of kinetic energy.
Tidal power is related to gravitational hydropower, which uses water movement to propel a turbine and generate electricity.
Thus, kinetic energy is used to generate electrical energy in a tidal power station.
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A meter stick has only two forces acting on it, of equal sizes at the ends that are in opposite directions. (I have magically turned gravity Off.) Is the stick in equilibrium? Explain your answer.
Answers
Answer:
Explanation:
Equilibrium is a state in which the algebraic sum of all forces acting on an object is zero. Thus the object has no force acting on it. The types are: stable, unstable and neutral equilibrium. While a torque is a turning force which are equal but acts in an opposite direction. When applied to on object, it constitute a turning effect. Example is the force applied on a tap, handle wheel of a car etc.
In the given question, the condition stated shows that the stick would experience a torque, thus not in equilibrium. Since the forces at its ends are in opposite directions, then it continues to rotate about its axis.
9. Who was the FIRST person to propose that the continents might fit together
Answers
Answer:
Alfred Wegener
Explanation:
Children's behavior is marked by egocentrism during the concrete-operational stage.
O True
False
Answers
Answer:
false because this is not possible that children behaviour is marked over by egocentrism children are also the tender creation of God
What did Piaget believe about his stages of cognitive development?
A. It is not required to complete one stage to move on to the next one.
B. All children go through the stages in the exact same order.
C. A child’s age is the main factor to determine when they enter a stage.
D. All adults complete all four stages of development by the age of 25.
Answers
All adults complete all four stages of development by the age of 25. Option D.
For Piaget cognitive development was the gradual reorganization of mental processes as a result of biological maturation and environmental experience. Children make sense of the world around them and experience discrepancies between what they already know and what they discover around them.
Fundamentally Piaget believed that man could make sense of the world on his own. From a theological point of view, he was a psychological constructivist believing that learning is caused by a mixture of two processes for him assimilation and adaptation. Piaget supported the idea that children think differently than adults and his research identified several important milestones in children's intellectual development.
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what substance will heat up quickest - Dry soil, granite, water or wet soil
Answers
Granite will heat up the quickest among dry soil, granite, water, and wet soil due to its lower specific heat capacity.
To determine which substance will heat up the quickest among dry soil, granite, water, and wet soil, we need to consider their specific heat capacities. The substance with the lowest specific heat capacity will heat up the quickest.
Specific heat capacity is defined as the amount of heat energy required to raise the temperature of a substance by a certain amount. Different substances have different specific heat capacities due to variations in their molecular structure and composition.
Water has a relatively high specific heat capacity of about 4.18 J/g°C, meaning it requires a significant amount of heat energy to raise its temperature. Dry soil and granite, on the other hand, have lower specific heat capacities compared to water.
Wet soil is a mixture of dry soil and water, and its specific heat capacity will lie between the values of dry soil and water. Since water has a higher specific heat capacity than dry soil, wet soil is expected to have a higher specific heat capacity than dry soil as well.
Therefore, based on the comparison of specific heat capacities, the substance that will heat up the quickest is granite. Granite has a lower specific heat capacity than water and wet soil, making it more susceptible to temperature changes. Dry soil and wet soil, including water, will heat up at a slower rate compared to granite.
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a positively-charged particle ( q) is at rest in the plane between two fixed bar magnets, as shown. the magnet on the left is three times as strong as the magnet on the right. which choice below best represents the resultant magnetic force exerted by the magnets on the charge?
Answers
The resultant force exerted by the magnets on the charge will be zero.
According to the Lorentz force equation, only moving charges experience magnetic forces. Therefore, a charge at rest experiences no force and does not move. Only moving charges can experience a magnetic force, so the force on a stationary charge is zero. The magnetic force is always perpendicular to the velocity of the charged particles, so the particles move in a circular motion. The positive charges above move vertically through the magnetic field and are deflected. The correct rule below predicts the direction in which positive charges are deflected. A similar left-hand rule predicts the deflection of negative charges.
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What does volume measure name two different units that might be used to measure volume
Answers
Answer:
Volume measures liquid
Explanation:
Volume can be measured in meters and centimeters
Photons and photon flux a. Consider a 1 kW AM radio transmitter at 700 kHz. Calculate the number of photons emitted fro-m the antenna per second. b. The average intensity of sunlight on Earth's surface is about 1 kW m^-2. The maximum intensity is at a wavelength of around 800 nm. Assuming that all the photons have an 800 nm wavelength, calculate the number of photons arriving on Earth's surface per unit time per unit area. What is the magnitude of the electric field in the sunlight? c. Suppose that a solar cell device can convert each sunlight photon into an electron, which can then give rise to an external current. What is the maximum current that can be supplied per unit area (m^2) of this solar cell device?
Answers
The number of photons emitted per second is 2.16 x 10^28 photons/s. The magnitude of the electric field in the sunlight is 3.22 x 10^-5 V/m. The maximum current that can be supplied per unit area by the solar cell device is 1.29 microamperes per square meter.
How to find number of photons emitted per second?a. The energy of a single photon is given by E = hf, where h is Planck's constant and f is the frequency. We can find the frequency of the radio wave as follows:
f = 700 kHz = 700,000 Hz
The energy of a single photon at this frequency is:
E = hf = (6.626 x 10^-34 J s) x (700,000 Hz) = 4.64 x 10^-26 J
The power of the transmitter is 1 kW = 1000 J/s. Therefore, the number of photons emitted per second is:
(1000 J/s) / (4.64 x 10^-26 J/photon) = 2.16 x 10^28 photons/s
b. The energy of a photon with a wavelength of 800 nm can be calculated using the formula E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength.
We can then calculate the number of photons arriving on Earth's surface per unit time per unit area as follows:
E = hc/λ = (6.626 x 10^-34 J s) x (3.00 x 10^8 m/s) / (800 x 10^-9 m) = 2.48 x 10^-19 J
The number of photons arriving per unit time per unit area (i.e., the photon flux) is given by the intensity I divided by the energy of a single photon:
I = 1 kW/m^2 = 1000 J/s/m^2
Photon flux = I/E = (1000 J/s/m^2) / (2.48 x 10^-19 J/photon) = 4.03 x 10^21 photons/s/m^2
The magnitude of the electric field in the sunlight can be found using the formula I = ε0cE^2/2, where ε0 is the permittivity of free space and c is the speed of light:
E = sqrt(2I/ε0c) = sqrt(2 x 1000 J/s/m^2 / (8.85 x 10^-12 F/m x 3.00 x 10^8 m/s)) = 3.22 x 10^-5 V/m
c. The maximum current that can be supplied per unit area by the solar cell device is equal to the photon flux multiplied by the charge of an electron (q) and the efficiency of the solar cell (η):
I = ηqPhoton flux = ηq(4.03 x 10^21 photons/s/m^2)
The charge of an electron is q = 1.602 x 10^-19 C, and the efficiency of a typical silicon solar cell is around 20%. Therefore:
I = 0.2 x (1.602 x 10^-19 C) x (4.03 x 10^21 photons/s/m^2) = 1.29 x 10^-6 A/m^2
So, the maximum current that can be supplied per unit area by the solar cell device is 1.29 microamperes per square meter.
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