We can find the distance as follows:
\(\begin{gathered} d=\frac{1}{2}at^2 \\ so\colon \\ d=\frac{2.09\cdot(10.6)^2}{2} \\ d=117.4162m \end{gathered}\)Answer:
117.4162 m
Keyana and Sam are testing the law of conservation of energy. They use the same ball and release it from the same vertical height. Keyana is using a frictionless track, while Sam's track has friction. They discover Keyana's ball had more kinetic energy than Sam's when it reached the bottom. Which statement best explains why this happened if energy is conserved? Sam's ball lost mass as it traveled along the track. Sam's ball interacting with the track converted energy into heat. Keyana's ball was able to gain momentum. Keyana's ball had more potential energy.
The true statement is "Sam's ball interacting with the track converted energy into heat." The correct option is B.
The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total amount of energy in a closed system remains constant.
The friction between Sam's ball and the track caused some of the energy to be lost as heat, while Keyana's ball experienced no such loss due to the absence of friction in her experiment. Therefore, Keyana's ball retained more of its initial potential energy as kinetic energy, resulting in a greater velocity and hence more kinetic energy at the bottom.
Option A (Sam's ball lost mass as it traveled along the track) is not true because it is not possible for the ball to lose mass during the experiment. The mass of the ball is a constant value and is not affected by the experiment.
Option C (Keyana's ball was able to gain momentum) is not the best explanation because momentum is not conserved in this scenario since external forces like friction are acting on the ball. The ball is only gaining kinetic energy.
Option D (Keyana's ball had more potential energy) is not true because both Keyana and Sam released the ball from the same vertical height. Therefore, both balls had the same initial potential energy. The difference in their kinetic energies at the bottom can be explained by the difference in their conservation of energy due to friction.
Therefore, The correct statement that best explains why Keyana's ball had more kinetic energy than Sam's when it reached the bottom, even though energy is conserved, is: Sam's ball interacting with the track converted energy into heat.
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What is the Mr of HCO3
Answer:
61.0168 g/mol Explanation:
5.5A Two similar dielectric ellipsoids are placed in an electric field as shown in Fig. P5.5. For which orientation is the depolarization factor larger? Give qualitative reasons. Fig. P5.5 (a) (b) E
In order to determine which orientation results in a larger depolarization factor for the similar dielectric ellipsoids placed in an electric field, we need to consider the shape and alignment of the ellipsoids with respect to the electric field.
The depolarization factor measures the reduction in the electric polarization of a material due to its shape and alignment in an electric field. It is influenced by the geometry of the material and how it interacts with the electric field.
Qualitatively, if the ellipsoids are aligned in such a way that their major axes are parallel to the electric field lines, the depolarization factor would be smaller. This is because the electric field would act along the long axis of the ellipsoid, resulting in less distortion of the polarized charges inside the material. The polarization would be more effectively aligned with the electric field, minimizing the depolarization effect.
On the other hand, if the ellipsoids are oriented such that their major axes are perpendicular or at an angle to the electric field lines, the depolarization factor would be larger. In this case, the electric field would act in a direction that is not aligned with the major axis of the ellipsoid, causing more distortion and misalignment of the polarized charges inside the material. This results in a larger depolarization effect.
Without a specific diagram or more information about the orientations shown in Figure P5.5, it is difficult to determine the exact orientation with the larger depolarization factor. However, based on the general understanding of the relationship between alignment and the depolarization effect, the orientation where the major axes of the ellipsoids are perpendicular or at an angle to the electric field lines is likely to result in a larger depolarization factor.
Pete needs to be at work for 9.00am. He leaves his house at 7.30am and drives to the gym which is 12.5 miles away. Pete spends 45 minutes in the gym then drives the reaming 9 miles to work.
To determine the time Pete arrives at work, we can start by calculating the total time he spends on his commute and gym routine:
What time will Pete get to work?Time spent driving to the gym = 12.5 miles ÷ average speed
We don't know Pete's average speed, so we cannot calculate this.
Time spent in the gym = 45 minutes
Time spent driving from the gym to work = 9 miles ÷ average speed
Again, we don't know Pete's average speed, so we cannot calculate this.
Total time spent on commute and gym routine = time spent driving to gym + time spent in gym + time spent driving from gym to work
= Unknown + 45 minutes + Unknown
Next, we can convert the total time to hours and minutes:
Total time = (Unknown + 45 minutes + Unknown) ÷ 60
= (Unknown + Unknown) ÷ 60 + 45/60
= (2Unknown) ÷ 60 + 0.75
= (Unknown) ÷ 30 + 0.75
We know that Pete needs to arrive at work by 9.00am, so we can set up an equation:
Arrival time = 7.30am + Total time
9.00am = 7.30am + (Unknown/30) + 0.75
Solving for Unknown:
1.5 hours = Unknown/30
Unknown = 45 minutes
Therefore, Pete will arrive at work at 8.15am.
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Two loudspeakers face each other, vibrate in phase, and produce identical 406 Hz tones. A listener walks from one speaker toward the other at a constant speed and hears the loudness change (loud-soft-loud) at a frequency of 2.86 Hz. The speed of sound is 343 m/s. What is the walking speed
Answer:
1.21 m/s
Explanation:
Given :
2 loudspeakers
F2 - F1 = 2.86 Hz
Speed of sound, V = 343
Fo = frequency when listener is at rest = 406Hz
To obtain the walking speed Vo, speed as observer moves away from speaker ;
Vo = [(F2 - F1) * V] ÷ 2 * Fo
Vo = [2.86 * 343] ÷ (2 * 406)
Vo = 980.98 / 812
Vo = 1.2081034
Vo = 1.21 m/s
which of the following statements is true? During heat flow, energy is converted to matter.
Answer:
During heat flow, much of the energy is dissipated and cannot be used for useful work.
Explanation:
Which of the following statements is true?
During heat flow, much of the energy is lost.
During heat flow, energy is converted to matter.
During heat flow, much of the energy is dissipated and cannot be used for useful work.
Two gliders collide on an air track. Glider 1 has a mass of 7.0 kg, and glider 2 has a mass of 4.0 kg. Before the collision, glider 1 had a velocity of 2.0 m/s, and glider 2 had a velocity of -5.0 m/s. If the collision is perfectly elastic, what is the total kinetic energy of both gliders after the collision?
A. -36.0 J
B. 36.0 J
C. 64.0 J
D. 128.0 J
Answer:
Its C
Explanation:
My teacher did it for me and it was right.
As the wavelength of electromagnetic radiation increase
Answer:
the frequency and the radiation of radiation decreases.
Explanation:
Modern commercial airliners are largely made of aluminum, a light and strong metal. But the fact that aluminum is cheap enough that airplanes can be made out of it is a bit of historical luck. Before the discovery of the Hall-Héroult process in , aluminum was as rare and expensive as gold. What would happen if airplanes had to be made of steel? The fuselage of the Boeing 747, which can carry passengers, is approximately a hollow aluminum cylinder without ends, long, wide, and thick (see sketch at right). The fuselage of an airplane Suppose this fuselage was made of steel (density ) instead of aluminum (density ), and let's say the average passenger has a mass of . We'll also assume the engines can't lift any greater mass than they already do. Calculate the number of passengers that the Boeing 747 could carry if its fuselage was made of steel.
Answer:
n = 291 people
Explanation:
To solve this interesting problem we are going to take some data from the tables, the density of 7075 aluminum is 2.8 103 kg / m³, the density of 316 stainless steel is 7980 kg / m³, where we have selected one of the most used alloys in for its resistance.
The average mass of a passenger is mo = 80kg and the Boeing 747 aircraft can carry 550 passengers and a crew of 18 people with a length of 70.66 m,
Let's start by calculating the mass of the empty plane and the mass of the passengers
ρ_Al = m_Al / V
m_Al = ρ_Al V
m_passenger= #_pasajeros 80
m_passenger = 550 m₀
The total mass of the plane is
M = m_passengers + m_Al
If the plane is built face to face, the mass of this material is
ρ_Acero = m_steel / V
the total mass of avino is
M = m_pasajeros` + m_steel
As they indicate the total mass of the plane must remain constant
m_passengers + m_Al = m_passengers` + m_steel
let's substitute the values
550 m₀ + 2.8 103 V = n m₀ + 7.98 103 V
where V is the volume of the material used which is the same in both cases
n = 550 mo + (2.8 - 7.98) 103 V = n mo
n = n = 550 + (2.8 - 7.98) 103 V / mo
The calculation of the volume of material used depends on the thickness of the sheet and the resistance of the material, if it assumes that it has the same thickness, e = 1 cm, approximate the volume to the length of the circle by the length of the cylinder by the thickness
V = (2π r) L e
the diameter of the plane approximately the height of the person
d = 1.8 m
V = 2π (1.8 / 2) 70.66 1 10⁻²
V = 3.9957 m³
we substitute
n = 550 - 5.18 10³ (3.9957) / 80
n = 550 - 258.7
n = 291 people
If a dolphin swims at 1.85 m/s, how far will the dolphin have traveled after 6.0 s?
The distance traveled by by the dolphin is determined as 11.1 m.
What is distance?The distance traveled by an object is the product of speed and time of motion of the object. It measures the total path covered by the object.
The distance traveled by by the dolphin is calculated as follows;
Distance = speed x time of motion
Distance = 1.85 m/s x 6 s
Distance = 11.1 m
Thus, the distance traveled by by the dolphin is determined as 11.1 m.
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Need help ASAPPPPP plssssss giving big points
Answer:
average
Explanation:
A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled
Answer:
y ’= y / 2
thus when the slit width is doubled the pattern width is halved
Explanation:
The diffraction of a slit is given by the expressions
a sin θ = m λ
where a is the width of the slit, λ is the wavelength and m is an integer that determines the order of diffraction.
sin θ = m λ / a
If this equation
a ’= 2 a
we substitute
2 a sin θ'= m λ
sin θ'= (m λ / a) 1/2
sin θ ’= sin θ / 2
We can use trigonometry to find the width
tan θ = y / L
as the angle is small
tan θ = sin θ / cos θ = sin θ
sin θ = y / L
we substitute
y ’/ L = y/L 1/2
y ’= y / 2
thus when the slit width is doubled the pattern width is halved
What is the length of AC?
A swimmer swims 20 m in 40 s. What is swimmer’s average speed?
Answer:
s = d/t = 20 m/40 s = 0.5 m/s
Explanation:
A swimmer swims a distance of 20 m in a time of 40 seconds, then the speed of the swimmer is 0.5 m/s.
What is Speed?The speed of an entity, which is a scalar quantity in regular usage and kinematics, can be defined as the size of the change in direction per unit time or the size of the change in position over time for an object. The initial speed is the upper limit of maximum pace as the duration of a time interval gets closer to zero.
The average pace of the object over an amount of time is computed by subtracting its distance traveled by the length of the interval. Velocity and speed are not the same.
As per the given data provided by the question,
Distance, d = 20 meters
Time, t = 40 seconds
Then average speed, s = d/t
s = 20/40
s = 0.5 m/s.
Therefore, the average speed of the swimmer is 0.5 m/s.
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In the electric of capacitance 4 ,3 and 2 microfaradas, respectively, are connected in senes to a battery of 260 V , calculate the charge?
The total charge in the circuit is 240 microcoulombs.
To calculate the total charge in a series circuit with capacitors, we need to use the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the voltage.
In this case, we have three capacitors connected in series with capacitances of 4 μF, 3 μF, and 2 μF, respectively. The voltage across the circuit is 260 V.
To find the total capacitance (C_total) in a series circuit, we use the reciprocal rule: 1/C_total = 1/C1 + 1/C2 + 1/C3. Plugging in the values, we get 1/C_total = 1/4 + 1/3 + 1/2.
Simplifying this equation gives us 1/C_total = (3 + 4 + 6)/12 = 13/12. Taking the reciprocal, we find C_total = 12/13 μF.
Now, we can calculate the total charge (Q_total) using Q = C_total × V. Substituting the values, we get Q_total = (12/13) μF × 260 V.
Calculating the numerical value, Q_total = (12/13) × 260 = 240 μC (microcoulombs).
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A 1.0 kg cube of ice is dropped into 1.0 kg of water, and when equilibrium is reached, there are 2.0 kg of ice at 0.0° C. The initial temperature of the water was 0°C. What was the original temperature of the ice? (Cw = 4186 J/kgo°C, c; = 2093 J/kg.°C, and If = 3.3 × 105 J/kg)
The initial temperature of the water was 0°C and the original temperature of the ice was -78.8°C.
First, we need to determine how much heat was transferred from the water to the ice to melt the ice and raise its temperature to 0°C.
The heat is required to melt the ice will be;
Q₁ = m_ice x Lf
where m_ice is the mass of the ice and\(L_{f}\) is the latent heat of fusion of ice.
Q₁ = 1.0 kg x 3.3 x 10⁵ J/kg
= 3.3 x 10⁵ J
The heat required to raise the temperature of the melted ice from -x°C to 0°C is;
Q₂ = m_ice x c_ice x ΔT
where c_ice is the specific heat capacity of ice and ΔT is the change in temperature.
Q₂ = 1.0 kg x 2093 J/kg.°C x (0 - (-x))°C
= 2093x J
The heat lost by the water will be equal to the heat gained by the ice;
Q₁ + Q₂ = m_water x Cw x ΔT
where m_water is the mass of the water and Cw is the specific heat capacity of water.
3.3 x 10⁵ J + 2093x J = 1.0 kg x 4186 J/kg.°C x (0 - T)°C
Solving for T, we get;
T = -[(3.3 x 10⁵ J + 2093x J)/(4186 J/kg.°C)]
= -78.8°C
Therefore, the original temperature of the ice was -78.8°C.
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The corners of a square lie on a circle of diameter D = 0.440 m. The side of the square has a length L. Find L.
How much force will this car experience if it collides with a wall and the collision lasts for
0.05 s?
The amount of force after 0.05 seconds will be 528000 N.
What is a force?A force is an influence that can cause an object's motion to change. A force can cause a mass object to change its velocity, or accelerate. Intuitively, a force can be described as a push or a pull.
Given that a car of mass 1500kg collides with a wall. the initial and final speed of the car is -15m/s and 2.6m/s. if the collision lasts for 0.05 seconds.
The force will be calculated as:-
Mc x V₁ + F x t = Mc x V₂
Here, V₁ = -15 m /s and V₂ = 2.6 m /s.
Mc x V₁ + F x t = Mc x V₂
-( 1500 x 15 ) + F x 0.05 = 1500 x 2.6
F x 0.05 = 22500 + 3900
F = 26400 / 0.05
F = 528000 N
Therefore, the force after the collision will be 528000 N.
The complete question is given below.
A car of mass 1500kg collides with a wall. the initial and final speed of the car is -15m/s and 2.6m/s. if the collision lasts for 0.05 seconds. find the impulse caused by the collision and the average force on the car.
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(b) Calculate the force required to topple a
person of mass 70 kg, standing with his feet
spread 0.9 m apart as shown in figure. Assume
the person does not slide and the weight of
the person is equally distributed on both feet.
Tameika makes a table about sensory organs
Eye
skin
brain
tongue
Which organ should be removed from the table?
A. eye
B. skin
C. brain
D. tongue
Answer:
I think its d
Explanation:
I'm not sure I'm sorry if I'm wrong
Groups of organs that work together to complete a series of takes are called:
A: Skeletal System
B: Organ System
C: Muscular System
A group of organs working together comprises an organ system, B.
in an electroscope being charged by induction, what happens when the charging rod is moved away before the ground is removed from the knob?
The electroscope will remain charged and continue to show the presence of an electric charge if the ground is withdrawn from the knob before the charging rod is removed.
An early scientific tool used to find electrical charge on a body is called an electroscope. The movement of a test object caused by the Coulomb electrostatic force is used to detect charge. Voltage and charge on an object are inversely correlated.
There are three traditional electroscope types: the needle electroscope, the gold-leaf electroscope, and the pith-ball electroscope (third).
electroscopes are utilized to determine whether a body has an electric charge. The movement of a test object caused by the Coulomb electrostatic force is used to detect charge. Voltage and charge on an object are inversely correlated.
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What type of force is jumping a trampoline?
Answer:
Tension
Explanation:
Now imagine that you are a Haitian taptap driver and want a more comfortable ride. You decide to replace the springs with new springs that can handle the typical heavy load on your vehicle. What spring constant do you want your new spring system to have?
The new springs should have a spring constant that is (slighty larger, substantially larger, slightly smaller, substantially smaller) substantially larger slightly larger slightly smaller substantially smaller than the spring constant of the old springs.
Answer:
We use a spring of large spring constant.
Explanation:
The spring constant is defined as the force applied on the spring per unit extension or compression in length.
F = k x
where, F is the force, x is the extension, k is the spring constant.
Its unit is N/m.
To get the comfortable ride, we use the spring of large spring constant, so that the spring gets stiffer and we get comfort.
The speed of light is 3×10^8 meters per second, which means that light can travel 300 million meters in just one second. How far can light travel in one minute?
Answer:
(1.8 × 10^9) meters in one minute
Explanation:
To determine how far light can travel in one minute, we need to multiply its speed by the number of seconds in a minute.
The speed of light is 3 × 10^8 meters per second.
There are 60 seconds in a minute.
Therefore, the distance light can travel in one minute is:
Distance = Speed × Time
Distance = (3 × 10^8 meters per second) × (60 seconds)
Calculating this, we get:
Distance = 3 × 10^8 meters/second × 60 seconds
Distance = 18 × 10^8 meters
Distance = 1.8 × 10^9 meters
So, light can travel approximately 1.8 billion (1.8 × 10^9) meters in one minute.
A 12,000-N car is raised using a hydraulic lift, which consists of a U-tube with arms of unequal areas, filled with oil with a density of 800 kg/m3 and capped at both ends with tight-fitting pistons. The wider arm of the U-tube has a radius of 18.0 cm and the narrower arm has a radius of 5.00 cm. The car rests on the piston on the wider arm of the U-tube. The pistons are initially at the same level. What is the force that must be applied to the smaller piston in order to lift the car after it has been raised 1.20 m
Answer:
The answer is below
Explanation:
Pascal's law states that pressure is exerted in all parts of a static fluid equally.
The area of the narrower arm with a radius of 0.05 m (5 cm) is given as:
Area of narrow arm = π(0.05)²
The area of the wider arm with a radius of 0.18 m (18 cm) is given as:
Area of narrow arm = π(0.18)²
The ratio if the wider arm area to the narrow arm area = π(0.18)² / π(0.05)² = 12.96
To move the 12000 N car, the amount of force needed = 12000/12.96 = 926 N
15. Which tectonic boundary would have many normal faults associated
with it?
A. Convergent
B. Divergent
C. Transform
please select all that would be categorized as vectors
Answer:
1. 10 ft/s² straight up
2. 4 Km north-west
3. 20 m/s South
Explanation:
To successfully categorize the quantities given above as vectors, we must understand what vector quantity is.
A vector quantity is a quantity that has both magnitude and direction.
Considering the question given above, the vector quantities are:
1. 10 ft/s² straight up
2. 4 Km north-west
3. 20 m/s South
The remaining quantities in the question are not considered as vectors because they only have magnitude but no direction. They are therefore referred to as scalar quantities.
What I need help with is attached below
Answer:
Explanation:
3. answer is d.
Displacement increases b/c slopes of both lines are positive. Spring 1 displaces more than Spring 2 per unit force applied. Graphs are straight lines, so the increase is proportional.
4. Fnet = 5 - 30 - 5 = -30 N Positive direction is to the right, negative direction is to the left.
answer is d. 30 N to the LEFT
What type of energy is in the river that is changed to electrical energy? I potential energy Il wave energy III geothermal energy kinetic energy IV A) I and II only B) II and III only C) III and IV only D) I and IV only
Given:
The energy in the river is converted into electrical energy
To find:
What type of energy is in the river that is changed to electrical energy?
Explanation:
The water of the river is generally stored by creating a dam. The turbine is moved by the kinetic energy provided by the water of the river when the lock gate is opened.
So, the potential energy and the kinetic energy change into electrical energy.
Hence, potential and kinetic energy both change to electrical energy which is the option (D) is correct.