What circumstance would allow an officer to search a home even if they didn’t have a warrant?
A. The homeowner lets them into the house and tells them they can search it.
B. The homeowner has been previously convicted of murder.
C. The police have a strong feeling that the homeowner has committed a crime.
D. The homeowner's spouse has been previously convicted of murder.
Answers
Answer:
A
Explanation:
The officer would have had permission regardless of anything else, kind of like letting someone into your house.
Related Questions
Briefly explain the circumstances in which velocity and acceleration of a car are
a) parallel
b) anti parallel
Answers
Explanation:
a) Velocity and acceleration of a car are parallel when the car is moving along a straight line in the same direction. For example, when a car is gaining speed as it moves forward in a straight line, both velocity and acceleration are directed in the same direction.
b) Velocity and acceleration of a car are anti-parallel when the car is moving along a straight line in the opposite direction. For example, when a car slows down while moving in a straight line, its acceleration is directed opposite to the direction of its velocity, or the other way around.
Answer:
a)
There is only one case where velocity and acceleration are parallel only when they are moving in the same direction.
b)
There are 3 cases where velocity and acceleration are antiparallel.
(i) When both are moving in different direction
It means :
Either velocity towards +ve direction and acceleration towards -ve direction.Or, velocity towards -ve direction and acceleration towards +ve direction.It is applicable for both 2D (x-y plane) and 3D (x-y-z plane)(ii) When the object is slowing down, where velocity and acceleration are in the opposite direction.
(iii) In case of motion reversal.
Explanation:
while at rest on a hillside, army the armadillo rolls up into a ball. as a result, they begin to roll down the hill. at a certain moment during the roll, their gravitational potential energy has decreased by 40 j, and their translational kinetic energy has increased by 15 j. by how much has their rotational kinetic energy changed?
Answers
The rotational kinetic energy of the armadillo has increased by 25 joules.
This is because the armadillo is rolling down the hill, which means that it is rotating around its center of mass. As it rolls, it is converting its gravitational potential energy into translational and rotational kinetic energy.
Since the gravitational potential energy has decreased by 40 joules and the translational kinetic energy has increased by 15 joules, the remaining 25 joules must have been converted into rotational kinetic energy. This means that the armadillo's rotational kinetic energy has increased by 25 joules.
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How can we make a zero correction in a length of 5. 30cm while the zero error is +0. 05cm?
Answers
After making the zero correction, the length is 5.25cm. To make a zero correction in a length, you need to subtract the zero error from the measured length.
1. Start by identifying the given values:
- Measured length = 5.30cm
- Zero error = +0.05cm
2. To correct for the zero error, subtract it from the measured length:
5.30cm - 0.05cm = 5.25cm
So, after making the zero correction, the length is 5.25cm.
In this case, the zero error is positive (+0.05cm), which means the actual length is slightly smaller than the measured length. By subtracting the zero error from the measured length, you are compensating for this discrepancy and obtaining a more accurate value.
Remember, zero correction involves adjusting measurements to account for any systematic error associated with the measuring instrument's zero mark. It ensures that the measurements reflect the true value.
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A 0. 10 kg ball falls 10. 0 m onto a hard floor and then bounces back up to 9 m. How much of its mechanical energy is transformed to the internal energy of the ball and the floor?
Answers
Approximately 9% of the mechanical energy of the ball is transformed into internal energy of the ball and the floor.
When the ball falls and bounces back up, some of its initial mechanical energy is lost as it is converted into internal energy. The mechanical energy of the ball consists of its potential energy (mgh) when it is at a height of 10.0 m and its kinetic energy (1/2 mv^2) when it is at a height of 9.0 m. The loss in mechanical energy is due to factors like deformation of the ball and floor, sound, and heat generated upon impact.
To calculate the percentage of energy loss, we need to compare the difference in mechanical energy before and after the bounce. The difference is approximately 0.81 J. Dividing this by the initial mechanical energy (81 J) and multiplying by 100 gives us the percentage, which is approximately 9%. Therefore, around 9% of the mechanical energy is transformed into internal energy of the ball and the floor during the bounce.
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Which switching device creates its own electrical voltage pulse?
Answers
Transistor.
A switching device that creates its own electrical voltage pulse is called a "transistor." Transistors are active semiconductor devices that can amplify or switch electronic signals and electrical power. They consist of three layers of semiconductor material and can operate in different modes, such as common-emitter, common-base, or common-collector configurations.
When a transistor is used as a switch, it can generate its own electrical voltage pulses by controlling the flow of current through it. In the "on" state, the transistor allows current to flow from the collector to the emitter, creating a low resistance path. In the "off" state, the transistor blocks current flow, creating a high resistance path. By switching between these two states rapidly, transistors can generate voltage pulses.
There are different types of transistors, such as bipolar junction transistors (BJTs) and field-effect transistors (FETs). Both types can be used as switching devices and produce their own voltage pulses when appropriately biased and driven by an input signal.
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A 3 ohm heater takes 6 amperes while submerged in 1200 grams of water contained in a vessel with a water equivalent to 200 grams. What is the efficiency of the system if the time required for the temperature to change by 70 degrees Celsius is 3.95 hours?
Answers
The efficiency of the system, consisting of a 3-ohm heater submerged in 1200 grams of water, is approximately 101.2% based on the given information.
To determine the efficiency of the system, we need to calculate the energy input and the energy output.
The energy input is given by the formula: Energy input = Voltage × Current × Time
Since the heater has a resistance of 3 ohms and operates at 6 amperes for 3.95 hours, we can calculate the energy input as follows:
Energy input = (Voltage × Current) × Time = (Voltage² / Resistance) × Time
Given that the voltage is unknown, we need to solve for it. We can use Ohm's law to find the voltage: Voltage = Current × Resistance = 6 A × 3 Ω = 18 V
Now we can calculate the energy input: Energy input = (18² / 3) × 3.95 = 381.6 Joules The energy output can be calculated using the specific heat capacity of water and the change in temperature: Energy output = (Mass of water + Water equivalent) × Specific heat capacity × Change in temperature
Given that the mass of water is 1200 grams, the water equivalent is 200 grams, the specific heat capacity of water is approximately 4.18 J/g°C, and the change in temperature is 70°C, we can calculate the energy output: Energy output = (1200 + 200) × 4.18 × 70 = 386,360 Joules
Finally, we can calculate the efficiency of the system: Efficiency = (Energy output / Energy input) × 100 Efficiency = (386,360 / 381.6) × 100 ≈ 101.2% Therefore, the efficiency of the system is approximately 101.2%.
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Can someone answer this?
Answers
If the density of a substance is 5g/cm3 and the volume is 10cm3,
determine the mass.
Answers
Answer:
(5g/cm³)*(10cm³) = 50g
Explanation:
This is just a conversion formula. Easy to find using dimensional analysis.
(5g/cm³)*(10cm³) = 50g
Answer:
\(\boxed {\boxed {\sf 50 \ grams}}\)
Explanation:
Density is the amount of mass per unit volume, so the formula is:
\(d = \frac{m}{v}\)
The density of the substance is 5 grams per cubic centimeter and the volume is 10 cubic centimeters.
d= 5 g/cm³ v= 10 cm³Substitute the values into the formula.
\(5 g/cm^3 = \frac{m}{10 \ cm^3}\)
We are solving for the mass, so we have to isolate the variable m. It is being divided by 10 cubic centimeters. The inverse of division is multiplication, so we multiply both sides of the equation by 10 cm³.
\(10 \ cm^3 *5 g/cm^3 = \frac{m}{10 \ cm^3} * 10 \ cm^3\)
\(10 \ cm^3 *5 g/cm^3 = m\)
The units of cubic centimeters (cm³) cancel.
\(10 *5 g = m\)
\(50 \ g=m\)
The mass of the substance is 50 grams.
a skater has 1377J of kinetic energy as they are traveling at a velocity of 2.4 m/s on the track. calculate the mass of the skater
Answers
Kinetic energy (KE)=1/2 x mass x volume
1377=1/2 x mass x 2.4
If you do the calculations
1147.5kg = mass
A 3-column table with 1 row. The first column titled distance travelled (meters) has entry 6. 1. The second column labeled lower track elapsed time (seconds) has entry 4. 92. The third column labeled higher track elapsed time (seconds) has entry 3. 36. Based on the time measurements in the table, what can be said about the speed of the car on the lower track as compared to the higher track? How can the reasoning for the above answer be best explained? On the higher track, the elapsed time is. Calculate speeds for each track. How much faster was the car on the higher track than the lower track?.
Answers
Answer:
B,A,A
Explanation:
Answer:
Other guy is correct b,a,a
Explanation:
Fill in the blanks to complete the statements.
If an object changes speed or
, its velocity also changes. Any change in ______ results in acceleration.
Answers
Answer: velocity
Explanation: Acceleration = change in velocity / time interval
5m/s to 25 m/s, in 2 seconds. So 25m/s - 5 m/s, then divide by time =
10m/s squared
What nuclear reaction is shown in the equation below?
A. Nuclear fusion
B. Nuclear fission
C. Positron emission
D. Beta decay
Answers
The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.
What is a nuclear fusion?The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.
We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.
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Answer:
A. Nuclear fusion
Explanation:
got it right, trust
If Argon's melting point is -309 degrees then what is its freezing point?
Answers
The melting point of a substance is the temperature at which the substance changes its phase from solid to liquid.
The freezing point is the temperature at which the substance changes its phase from liquid to solid.
The melting point of a substance is the same as the freezing point. That is when the temperature of the substance in the liquid form is increased continuously, the temperature at which the substance turns into a solid is equal to the temperature at which the substance will turn into liquid from solid if the temperature is decreased continuously, from a higher temperature.
An electron in a hydrogen atom makes a transition from the n =
30 to the n = 2 energy state. Determine the wavelength of the
emitted photon (in nm).
Enter an integer.
Answers
The wavelength of the emitted photon (in nm)An electron in a hydrogen atom makes a transition from the n = 30 to the n = 2 energy state. We need to determine the wavelength of the emitted photon. It's given that Δn = -28.From the Rydberg formula.
The wavelength of the emitted photon is given by:
1/λ=R(1/n₁² - 1/n₂²)Here, R is the Rydberg constant and is given by 1.097x10⁷ m⁻¹.n₁ is the initial state and is equal to 30. n₂ is the final state and is equal to 2. Δn = n₂ - n₁ = -28.1/λ = R (1/n₁² - 1/n₂²)1/λ = 1.097x10⁷ m⁻¹ (1/30² - 1/2²)1/λ = 1.097x10⁷ m⁻¹ (1/900 - 1/4)1/λ = 1.097x10⁷ m⁻¹ (0.00111111 - 0.25)1/λ = 1.097x10⁷ m⁻¹ (-0.24888889)1/λ = -2.73x10⁶ m⁻¹λ = (-1/-2.73x10⁶)λ = 3.66x10⁻⁷ mWe need to convert this value to nm.1 m = 10⁹ nmλ = 3.66x10⁻⁷ m × 10⁹ nm/1 mλ = 366 nm Therefore, the wavelength of the emitted photon is 366 nm.About HydrogenHydrogen, or water as it is sometimes called, is a chemical element on the periodic table that has the symbol H and atomic number 1. At standard temperature and pressure, hydrogen is a colorless, odorless, non-metallic, single-valent, and highly diatomic gas. flammable. Hydrogen can be used as an energy source, energy storage, energy carrier, to be used for infrastructure purposes.
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4. For each of the following cases, indicate whether the work done on the second object in each example will have a positive or a negative value.
5. If a neighbor pushes a lawnmower four times as far as you do but exerts only half the force, which one of you does more work and by how much?
c. Air exerts a force on a parachute as the parachutist falls to Earth.
b. A rope exerts a force on a bucket as the bucket t is raised up a well.
a. The road exerts a friction force on a speeding car skidding to a stop.
Answers
Work done on an object- Measure of energy transfer when an object is moved over a distance by an external force, at least some of which is applied in the displacement direction.
a. When the road exerts a friction force on a speeding car skidding to a stop, the work done by the friction force is negative. This is because the friction force opposes the motion of the car and slows it down. When the force is in the opposite direction of the motion of an object, the work done by the force is negative.
b. When a rope exerts a force on a bucket as it is raised up a well, the work done by the rope is positive. The force of the rope is in the same direction as the displacement of the bucket, so the work done by the rope is positive. When the force is in the same direction as the motion of an object, the work done by the force is positive.
c. When air exerts a force on a parachutist as they fall to Earth, the work done by the air is negative. The force of air resistance opposes the motion of the parachutist and slows them down, so the work done by the air is negative.
Comparison of work done:
The work done by a force is defined as the product of the force and the distance traveled by an object.
If a neighbour pushes a lawnmower four times as far as you do but exerts only half the force, neighbour does more work. The work done by neighbour is four times the distance traveled by the lawnmower multiplied by half the force exerted .
To find the exact difference in the amount of work done, calculate the product of the distance traveled by the lawnmower and the difference in the force exerted by each person. Assuming that person pushed the lawnmower a distance of d units and exerted a force of f units. Then, neighbour pushed the lawnmower a distance of and exerted a force of
The work done by person is given by the equation
The work done by neighbour is given by the equation
The difference in the amount of work done is given by the equation W2 -
So, neighbour did units more work than the person has done.
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What is the hypothesis for Lift an Ice Cube.
Answers
Answer:
When we sprinkle salt onto the ice cube, the state of equilibrium is disrupted. The salt molecules dissolve and join the water molecules thus changing the water's rate of freezing. The rate of melting is now much faster than freezing hence causing the ice to melt.
Explanation: Hope this helps
Answer Questions below
Answers
Answer:
When several resistors are connected in series, the total resistance equals the sum of the individual resistors. In series combination, the current is same through each resistor.
1) V= 60 volt
Total resistance R = R₁ + R₂
= 20 + 10
= 30 Ω
2) Ohms law states that,
\(\sf I =\dfrac{V}{R}\\\\\\I = \dfrac{60}{30}\\\\I = 2 \ A\)
3) Voltage around 10 Ω resistor,
V₂ = I R₂
= 2 * 10
= 20 volt
___________________________________________________
4) Total current = 1 A
5) Total voltage = 8 volt
6) Voltage around R₁ is V₁
R₁ = 2 Ω ; I = 1 A
V₁ = IR₁
= 1 * 2
= 2 volt
7) Resistance 2:
Total resistance = R
Total voltage = V = 8 volt
Total current = I = 1 A
\(\sf R = \dfrac{V}{I}\\\\\\ R = \dfrac{8}{1}\\\\\)
R = 8 Ω
R₁ + R₂ = 8 Ω
2 + R₂ = 8
R₂ = 8 - 2
R₂ = 6 Ω
8)Voltage around R₂:
\(\sf V_2 = IR_2\\\\V_2 = 1*6\\\\\)
V₂ = 6 volt
9) Total R = 8 Ω
_________________________________________________
10) Total V = 12 volt
11) Total R = 8 + 8
= 16 Ω
12) Total current I,
\(\sf I = \dfrac{V}{R}\\\\I = \dfrac{12}{16}\\\\I = 0.75 \ A\)
13) Voltage at each resistor:
V₁ = I*R₁
= 0.75 * 8
= 6 volt
V₂ = I*R₂
= 0.75 * 8
= 6 volt
_______________________________________________________
14) Total R = 40 + 20
= 60 Ω
15) To find V₁, first find total voltage.
I = 2 A ; R = 60 Ω
V = IR
= 2 * 60
= 120 V
V₁ + V₂ =V
V₁ + 80 = 120
V₁ = 120 - 80
V₁ = 40 volt
You decide to "go green" and use an exercise bike to power your home appliances. Assume that your exercise bike is rigged to generate electrical power with 60% efficiency. In other words, only 6/10 of the power you develop
can be used to store electrical energy for later use. Consider your 3500-Watt central AC unit. You need to run this unit for 4 hours each day during the summer. If you can develop a sustained power of 300 Watts on your exercise bike, how long would you have to work out just to keep the AC
running on a summer day?
Answers
The amount of time required to generate energy on the exercise bike is almost impractical, and other sources of energy should be considered.
Let's start with calculating the amount of energy that the AC unit consumes in a day.
Power = Voltage x Current
The power consumption of the AC unit is 3500 Watts.
Time = Power / Voltage x Current (Ohm's Law)
Assuming that your home uses 120 volts AC, the amount of current needed is as follows:
Current = Power / Voltage
= 3500 W / 120 V
= 29.16 A.
The time required to operate the AC unit for four hours per day is:
Time = Power / Voltage x Current
= 3500 W x 4 hr / 120 V x 29.16 A
= 12 hours.
Now, if you can generate a consistent power of 300 watts on the exercise bike, the amount of time you'd need to work out each day to keep the AC unit running for four hours would be:
Time required for the exercise bike = Time for AC Unit x (Power required by AC unit / Power generated by exercise bike)
Time required for the exercise bike = 4 hours x (3500 W / 300 W)
Time required for the exercise bike = 46.7 hours.
Using an exercise bike to generate electricity is a great idea, but it would be difficult to generate enough energy to keep large home appliances running, such as a central AC unit.
In this case, the amount of time required to generate energy on the exercise bike is almost impractical, and other sources of energy should be considered.
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Sue and Jenny kick a soccer ball at exactly the same time. Sue’s foot exerts a force of 75.9 N to the north. Jenny’s foot exerts a force o 105.8 N to the east. What is the magnitude of the resultant force on the ball?
Answers
Answer:
Fr^2 = 75.9N+105.8N=181.7
Fr = 181.7N.
How long would it take a machine to do 5000 joules of work if the power rating of the machine is 100 watts?
A. 0.2 s
B. 10 s
C. 50 s
D. 5 000 s
Answers
Answer:
hope this he;ps
Explanation:
power = work ÷ time
time = work ÷ power
time = 5,000 J ÷ 100 W
time = 50 s
How much power is theoretically available from a mass flow of 1 000 kg/s of water that falls a vertical distance of 100 m?
Answers
The theoretically available power from a mass flow of 1,000 kg/s of water falling a vertical distance of 100 m is 9,800,000 Watts or 9.8 Megawatts.
The power available from a mass flow of water can be calculated using the formula:
Power = (mass flow rate) * g * h
where:
- Power is the available power
- mass flow rate is the rate at which mass flows (in kg/s)
- g is the acceleration due to gravity (approximately 9.8 m/s^2)
- h is the vertical distance the water falls (in meters)
mass flow rate = 1,000 kg/s
vertical distance = 100 m
Using the formula, we can calculate the power:
Power = (1,000 kg/s) * (9.8 m/s^2) * (100 m)
Power = 9,800,000 Watt
Therefore, the theoretically available power from a mass flow of 1,000 kg/s of water falling a vertical distance of 100 m is 9,800,000 Watts or 9.8 Megawatts.
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What is the velocity of an 72 kg skateboarder traveling down hill with a momentum of 1800 kg-m/s.
25 m/s
50 m/
1296 m/a
18 m/s
Answers
Answer:
25 m/s
Explanation:
Momentum = mass × velocity
Given that,
momentum = 1800 kgm/smass = 72kg
velocity = Momentum ÷ mass
velocity = 1800 ÷ 72
velocity = 25 m/s
Any theory of the formation of the solar system has to explain: ____________
a. why all planets orbit in the same plane
b. why most planets rotate in the same direction
c. why dense planets made of rock and metal are close to the sun while low gas planets are far from the Sun
Answers
All of the above.
Any theory of the formation of the solar system has to explain why all planets orbit in the same plane, why most planets rotate in the same direction and why dense planets made of rock and metal are close to the sun while low gas planets are far from the Sun.
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Suppose that a baseball is tossed up into the air at an initial velocity 27 m/s. The
height of the baseball at time t in seconds is given by h(t) = 27t- 4.9t² (in meters).
a) What is the average velocity for [1, 1.5]?
Velocity
b) What is the average velocity for [1, 1.25]?
Velocity
m/s
Velocity
m/s
c) What is the average velocity for [1, 1.1]?
m/s
Answers
Therefore, the average velocity for [1, 1.1] is 24.85 m/s. Therefore, the average velocity for [1, 1.5] is 25.65 m/s.
What is velocity?Velocity is a vector quantity that measures the rate of change of an object's position with respect to time. It includes both the speed of the object and its direction of motion. Velocity is expressed in units of distance per time, such as meters per second or miles per hour.
Here,
a) To find the average velocity for [1, 1.5], we need to calculate the displacement (change in position) during that time interval and divide it by the time elapsed:
Displacement = h(1.5) - h(1) = (27(1.5) - 4.9(1.5)²) - (27(1) - 4.9(1)²) = 12.825 meters
Time elapsed = 1.5 - 1 = 0.5 seconds
Average velocity = Displacement / Time elapsed = 12.825 / 0.5 = 25.65 m/s
b) To find the average velocity for [1, 1.25], we follow the same procedure:
Displacement = h(1.25) - h(1) = (27(1.25) - 4.9(1.25)²) - (27(1) - 4.9(1)²) = 6.4 meters
Time elapsed = 1.25 - 1 = 0.25 seconds
Average velocity = Displacement / Time elapsed = 6.4 / 0.25 = 25.6 m/s
Therefore, the average velocity for [1, 1.25] is 25.6 m/s.
c) Finally, to find the average velocity for [1, 1.1], we repeat the calculation:
Displacement = h(1.1) - h(1) = (27(1.1) - 4.9(1.1)²) - (27(1) - 4.9(1)²) = 2.485 meters
Time elapsed = 1.1 - 1 = 0.1 seconds
Average velocity = Displacement / Time elapsed = 2.485 / 0.1 = 24.85 m/s
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When conducting a polygraph test why is it important for the interviewer to establish a baseline on the interviewee?
Answers
Answer:
Because always when we do an experiment, we need something to compare.
For example, if we want to see how much change a given color paint when we add different amounts of white paint to it, we need to have at least one sample of pure color paint, so we can compare it whit the ones with mixed paints.
Well, the case of the polygraph is exactly the same, we need to have a baseline, so we the interviewer can see if for some questions there is a change in the line compared with the baseline.
Fig-3.1 shows an aircraft on the deck of an aircraft carrier. Fig. 3.1 The aircraft accelerates from rest along the deck. At take-off, the aircraft has a speed of 75m/s. The mass of the aircraft is 9500 kg. (a) Calculate the kinetic energy of the aircraft at take-off. kinetic energy ..[3]
(b) On an aircraft carrier, a catapult provides an accelerating force on the aircraft. The catapult provides a constant force for a distance of 150m along the deck. Calculate the resultant force on the aircraft as it accelerates. Assume that all of the kinetic energy at take-off is from the work done on the aircraft by the catapult.
Answers
Kinetic Energy = (1/2) * mass * velocity^2
Given:
Mass of the aircraft (m) = 9500 kg
Velocity of the aircraft (v) = 75 m/s
Using the formula:
Kinetic Energy = (1/2) * 9500 kg * (75 m/s)^2
Calculating the value:
Kinetic Energy = 1/2 * 9500 kg * 5625 m^2/s^2
Kinetic Energy = 267,656,250 Joules
Therefore, the kinetic energy of the aircraft at take-off is 267,656,250 Joules.
(b) To calculate the resultant force on the aircraft as it accelerates, we can use the work-energy principle. The work done on the aircraft by the catapult is equal to the change in kinetic energy.
Work done = Change in kinetic energy
Given:
Distance along the deck (d) = 150 m
Initial kinetic energy = 267,656,250 Joules
The work done by the catapult can be calculated using the formula:
Work done = Force * distance
Since the force is constant, we can rewrite the formula as:
Work done = Resultant force * distance
Equating the work done to the change in kinetic energy:
Resultant force * distance = Change in kinetic energy
Solving for the resultant force:
Resultant force = Change in kinetic energy / distance
Plugging in the values:
Resultant force = 267,656,250 Joules / 150 m
Resultant force = 1,784,375 Newtons
Therefore, the resultant force on the aircraft as it accelerates is 1,784,375 Newtons.
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Find the length of the curve for r(t)=⟨6t^3,−2t^3,−3t^3⟩ 1≤t≤2
Answers
The length of the curve for r(t) = ⟨\(6t^3, -2t^3, -3t^3\)⟩, 1 ≤ t ≤ 2 is approximately 20.26 units.
To find the length of the curve defined by the vector function r(t), we need to calculate the arc length integral over the given interval. The arc length integral formula is given by:
∫[a,b] √\((dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2 dt.\)
For the given vector function r(t) = ⟨\(6t^3, -2t^3, -3t^3\)⟩, we first need to find the derivatives of each component with respect to t:
dx/dt = \(18t^2\),
dy/dt = \(-6t^2\),
dz/dt = \(-9t^2\).
Now we substitute these derivatives into the arc length integral formula and integrate from t = 1 to t = 2:
∫[1,2] √(\((18t^2)^2 + (-6t^2)^2 + (-9t^2)^2\)) dt.
Simplifying the expression inside the square root:
√(\(324t^4 + 36t^4 + 81t^4\)) = √(\(441t^4\)) = \(21t^2\).\(6t^2\)
Integrating 21t^2 from 1 to 2:
∫[1,2] \(21t^2\) dt = [7\(t^3\)] from 1 to 2 = 7(\(2^3\)) - 7(1^3) = 56 - 7 = 49.
Therefore, the length of the curve for r(t) = ⟨\(6t^3, -2t^3, -3t^3\)⟩, 1 ≤ t ≤ 2 is approximately 49 units.
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A doctor is using a treadmill to assess the
strength of a patient's heart. He sets the
1,75 m long treadmill to an incline of 17 degrees.
How high is the end of the treadmill raised?
a 0.71 m
0.46 m
0.54 m
0.62 m
Answers
The answer is 0.47 m, which is closest to the option (A) 0.71 m.
How to solve this problemFirst we can use trigonometry. The height of the end of the treadmill raised is the opposite side of the right triangle, and the length of the treadmill is the hypotenuse.
The angle of inclination is the angle between the height and the hypotenuse, so we can use the sine function to find the height:
sin(17°) = opposite/hypotenuse
The length of the treadmill is 1.75 m, so:
opposite = sin(17°) x 1.75 m
opposite = 0.472 m
Therefore, the height of the end of the treadmill raised is approximately 0.47 m.
So the answer is 0.47 m, which is closest to the option (a) 0.71 m.
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Atoms of the same element that have a different number of electrons are called?
Answers
Answer: isotopes
Explanation:
what is the magnitude and direction of an electric field that exerts a 2.00x10^-5n upward force on a -1.75 micro c charge?
Answers
The magnitude and direction of an electric field that exerts a 2.00x10^-5N upward force on a -1.75 microcharge is -14.3N/C
Given the force of electric field (Fe) = 2.00x10^-5N
The charge on electric field (q) = -1.75x10^-6C
Let the electric field be = E
We know that E = F/q where E = Electric Field, F = Force exerted by the field and q = Electric charge.
Then E = 2.00x10^-5N / -1.75x10^-6C = -14.3 N/C downward
The field and the force are moving in the opposing directions because the charge is negative.
Hence the the magnitude and direction of an electric field is -14.3 N/C downward.
To learn more about electric field click here https://brainly.com/question/15800304
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