Answer: Distance
I’m not sure if it is correct, but I am pretty sure it is......
I hope this helps :)
A forensic investigator is collecting hair samples from the victims and possible suspects of a violent attack. How many control
samples of full length scalp hairs and how many full length pubic hairs are collected for the control samples?
A)
25/10
B)
50/24
50/50
D)
100/50
Answer: B. 50/24
Explanation: just took the usatestprep
A rifle is aimed horizontally toward the center of a target 0.10 km away, but the bullet strikes 10 cm below the center. (a) Calculate the time it takes for the bullet to strike the target. (b) Calculate the velocity of the bullet just as it emerges from the rifle. (c) Calculate the velocity of the bullet right before it hits the target. (d) If a bullet that leaves the muzzle of a gun at 250 m/s is to hit a target 100 m away at the level of the muzzle, the gun must be aimed at a point above the target. How far above the target is the point?
The gun does not need to be aimed above the target. It should be aimed at the same level as the target.
To solve this problem, we can use the equations of motion and the principles of projectile motion.
Given:
Distance to the target (d) = 0.10 km = 100 m
Vertical displacement below the center (h) = 10 cm = 0.10 m
Initial vertical velocity (v0y) = 0 m/s (since the rifle is aimed horizontally)
Initial horizontal velocity (v0x) = unknown
Acceleration due to gravity (g) = 9.8 m/s²
(a) Calculate the time it takes for the bullet to strike the target:
Using the equation of motion:
h = v0y * t + (1/2) * g * t^2
Since the bullet is fired horizontally, v0y = 0, and the equation simplifies to:
h = (1/2) * g * t^2
Solving for time (t):
t^2 = (2 * h) / g
t = sqrt((2 * 0.10 m) / 9.8 m/s²)
t = sqrt(0.0204 s²)
t ≈ 0.143 s
Therefore, it takes approximately 0.143 seconds for the bullet to strike the target.
(b) Calculate the velocity of the bullet just as it emerges from the rifle:
The horizontal velocity (v0x) remains constant throughout the motion. Since the bullet is fired horizontally, v0x is also the final horizontal velocity (vx).
Using the equation:
d = v0x * t
Substituting the known values:
100 m = v0x * 0.143 s
v0x = 100 m / 0.143 s
v0x ≈ 699.3 m/s
Therefore, the velocity of the bullet just as it emerges from the rifle is approximately 699.3 m/s in the horizontal direction.
(c) Calculate the velocity of the bullet right before it hits the target:
The vertical velocity (vfy) just before hitting the target can be calculated using the equation:
vfy = v0y + g * t
Since the bullet is fired horizontally, v0y = 0, and the equation simplifies to:
vfy = g * t
Substituting the known values:
vfy = 9.8 m/s² * 0.143 s
vfy ≈ 1.404 m/s
Therefore, the velocity of the bullet right before it hits the target is approximately 1.404 m/s in the downward direction.
(d) If a bullet that leaves the muzzle of a gun at 250 m/s is to hit a target 100 m away at the level of the muzzle, the gun must be aimed at a point above the target. How far above the target is the point?
To calculate the vertical distance the gun must be aimed above the target, we can use the equation:
h = (v0y^2) / (2 * g)
Since the bullet leaves the muzzle with a vertical velocity of 0 (v0y = 0), the equation simplifies to:
h = 0
Therefore, the gun does not need to be aimed above the target. It should be aimed at the same level as the target.
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What is the total kinetic energy of a hoop of radius 1 m and mass 2 kg that rolls at an
angular velocity of 1 rad/s?
Answer:
12
Explanation:
What is the total kinetic energy of a hoop of radius 1 m and mass 2 kg that rolls at an
angular velocity of 1 rad/s?
Particles q1 = -20.5 UC, q2 = -9.30 uC, and q3 = -31.6.0 uC are in a line. Particles q, and q2 are separated by 0.980 m and particles q2 and q3 are separated by 0.750 m. What is the net force on particle q2?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
The net force on particle q2 can be calculated by finding the net electric force acting on it. The net electric force acting on a particle is the vector sum of the forces exerted by all the other charges on it.
The electric force between two charges q1 and q2 is given by Coulomb's law: F = k * (q1 * q2)/r^2, where k is Coulomb's constant, q1 and q2 are the charges, and r is the distance between them.
The force on particle q2 due to q1 will be:
F1 = k * (q1 * q2) / (0.980m)^2
The force on particle q2 due to q3 will be:
F2 = k * (q2 * q3) / (0.750m)^2
The net force acting on q2 will be the vector sum of F1 and F2.
Keep in mind, q1 and q3 have opposite charges, so they attract each other, while q2 has the same charge as q1, so they repel each other.
Note: The unit of charge is Coulomb (C), but in this problem you are given the charges in microCoulomb (uC) so you need to convert it to Coulomb.
What is the definition of density
Answer:
the degree of compactness of a substance.
Explanation:
The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: where ρ is the density, m is the mass, and V is the volume. Wikipedia
Answer:
The quantity of mass per unit volume of a substance
Explanation:
when does the bird have the most potential energy when it dives into a oceran
The bird has the most potential energy when it is at the highest point of its dive into the ocean.
1. Potential energy is the energy possessed by an object due to its position or state.
2. In this case, we are considering the potential energy of a bird diving into the ocean.
3. The potential energy of an object depends on its height and mass.
4. When the bird is at the highest point of its dive, it has the maximum potential energy.
5. As the bird dives deeper into the ocean, its height decreases, resulting in a decrease in potential energy.
6. At the moment the bird reaches the surface of the water, its potential energy is at its minimum, as it is at its lowest height.
7. The potential energy is converted into kinetic energy as the bird accelerates towards the water.
8. Kinetic energy is the energy possessed by an object due to its motion.
9. When the bird enters the water, its potential energy is completely converted into kinetic energy.
10. The bird continues to possess kinetic energy as it moves through the water.
11. Once the bird comes to a stop in the water, its kinetic energy is reduced to zero.
12. At this point, the bird's potential energy is also zero, as it is at its lowest height and not in motion.
13. Therefore, the bird has the most potential energy when it is at the highest point of its dive into the ocean.
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A parallel-plate capacitor has plates of area 0.12 m2 and a separation of 1.2 cm. A battery charges the plates to a potential difference of 120 V and is then disconnected.A dielectric slab of thickness 4.0 mm and dielectric constant 4.8 is then placed symmetrically between the plates. (a) What is the capacitance before the slab is inserted?(b) What is the capacitance with the slab in place? What is the free charge q (c) before and (d) after the slab is inserted? What is the magnitude of the electric field (e) in the space between the plates and dielectric and (f) in the dielectric itself? (g) With the slab in place, what is the potential difference across the plates? (h) How much external work is involved in inserting the slab?
A) The capacitance is 7.35 x 10⁻⁹ F, b) the capacitance is 8.43 x 10⁻⁹ F, c) before and 0.88 x 10⁻⁶ C, d) the slab is inserted is 1.01 x 10⁻⁶ C, e) the space is 1.0 x 10⁶ V/m, f) 5.5 x 10⁵ V/m, g) 120 V, h) 0 J.
What is capacitance?Capacitance is an electrical property of a material, device, or system in which the ability to store electric charge is measured. It is a measure of the amount of electric charge that can be stored in a given system.
(a) The capacitance before the slab is inserted is: C = ε0A/d
C = (8.85 x 10⁻¹²)(0.12)/(0.012)
C = 7.35 x 10⁻⁹ F
(b) The capacitance with the slab in place is: C' = ε0A' / d
where A' = A + (2tεr/ε0)
A' = 0.12 + (2 x 0.004 x 4.8 / 8.85 x 10⁻¹²)
A' = 0.1335 m²
d = 1.2 cm
C' = (8.85 x 10⁻¹²)(0.1335)/(0.012)
C' = 8.43 x 10⁻⁹ F
(c) The free charge before the slab is inserted is: Q = CV
Q = (7.35 x 10⁻⁹)(120)
Q = 0.88 x 10⁻⁶ C
(d) The free charge after the slab is inserted is: Q' = C'V
Q' = (8.43 x 10⁻⁹)(120)
Q' = 1.01 x 10⁻⁶ C
(e) The electric field in the space between the plates and dielectric is:
E = V/d
E = (120)/(0.012)
E = 1.0 x 10⁶ V/m
(f) The electric field in the dielectric itself is: E' = (εr/ε0)E
E' = (4.8/8.85 x 10⁻¹²)(1.0 x 10⁶)
E' = 5.5 x 10⁵ V/m
(g) The potential difference across the plates with the slab in place is:
V = Q'/C'
V = (1.01 x 10⁻⁶)/(8.43 x 10⁻⁹)
V = 120 V
(h) The external work involved in inserting the slab is: W = Q(V'-V)
W = (0.88 x 10⁻⁶)(120 - 120)
W = 0 J
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DESPERATE WILL GIVE BRAINLIST AND THANKS
What is one way that genetic engineering could help humans?
A. Gene therapy may be able to help people with genetic disorders make cells that work properly and alleviate their symptoms.
B. Genetic engineering may help bring much needed vitamins and vaccines to people living in poverty.
C. Genetic engineering may help remove genetic predispositions for certain diseases, such as cancer, from a person’s DNA.
D. These are all ways genetic engineering could help humans.
Answer:
I Choose C, Because Genetically engineered bacteria and other microorganisms are currently used to produce human insulin, human growth hormone, a protein used in blood clotting, and other pharmaceuticals and the number of such compounds could increase in the future.
So Basically There Saying It Can Be Used To Remove Certain Diseases.
which of the following is not a reason why atoms tend to bond to other atoms A. To become more stable B. Because elements/atoms cannot exist on their own C. to fill their outer shell with electrons D. to have similar properties to noble gases
The statement "Because elements/atoms cannot exist on their own" is not a reason why atoms tend to bond to other atoms.
What is an atom?An atom is the basic unit of matter that retains the chemical properties of an element. It is composed of a nucleus containing positively charged protons and uncharged neutrons, with negatively charged electrons orbiting the nucleus in shells or energy levels. The number of protons in an atom's nucleus determines its atomic number, which defines the element to which it belongs.
some elements/atoms can exist on their own in stable forms, such as the noble gases, which have complete outer electron shells and are therefore unreactive with other elements.
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calculate the potential energy of 20kg object sitting on a 8meter ledge
Answer:
potential energy=mgh (weight × height)
m=20kg
g=9.8m/s2
h=8
20×9.8×8=1568
The potential energy is 1568J
Answer:
Potential energy = m × g × h
m = 20 kg
acceleration due to gravity = 9. 8 m/ s 2
height ( h ) = 8
= 20 × 9.8 × 8
= 1568
:. potential energy = 1568 Joule
An object travels around a circular path 2.0 times in 8.0 seconds. What is the frequency and period of the motion?
Answer:
Frequency is the number of revolutions done per second. If one period is 30 seconds, then it takes 30 seconds to complete a single revolution.
So, how many revolutions occur in 1 second? 130
That’s your frequency. It should be obvious that this is the inverse of period.
On another note, angular frequency is the angular distance traveled per second, not revolutions. In a circle, each revolution is a full rotation about a circle, which is 2π
(radians) Hence the angular frequency, given the above period, is the frequency multiplied by 2π
, since one revolution translates to 2π
units of angular distance.
In summary, if we call f
the frequency (revolutions per second), ω
the angular frequency (radians per second) and T
your period (seconds per revolution), we have the following relations:
T=1f=2πω
ω=2πf=2πT
Explanation:
An airplane is flying towards a radar station at a constant height of 6 km above the ground. If the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s=10 km., what is the horizontal speed of the plane? Make sure your answer includes units.
To solve this problem, we can use the concept of related rates. We are given that the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s = 10 km. We need to find the horizontal speed of the plane.
Let's denote the horizontal speed of the plane as v. Since the plane is flying at a constant height of 6 km above the ground, we can consider a right triangle formed by the airplane, the radar station, and the ground. The distance between the airplane and the radar station is the hypotenuse of this triangle, and the height of the triangle is 6 km.
Using the Pythagorean theorem, we have:
s^2 = (v^2) + (6^2)
Differentiating both sides of the equation with respect to time t, we get:
2s(ds/dt) = 2v(dv/dt)
Since ds/dt is the rate at which the distance s is changing (given as -400 km/h) and s = 10 km, we can substitute these values into the equation:
2(10)(-400) = 2v(dv/dt)
Simplifying further:
-8000 = 2v(dv/dt)
Now, we need to find the value of dv/dt, which represents the rate at which the horizontal speed of the plane is changing. Rearranging the equation, we have:
dv/dt = -8000 / (2v)
Given that s = 10 km, we can substitute this value into the equation for v:
10 = (v^2) + (6^2)
10 = v^2 + 36
v^2 = 10 - 36
v^2 = -26
Since we are dealing with speeds, we can discard the negative value. Therefore, the horizontal speed of the plane is v = √26 km/h (approximately 5.1 km/h).
according to the question mention above, the horizontal speed of the plane is approximately 833.3 km/h.
We can start by using the formula:
s^2 = d^2 + h^2
where s is the distance between the airplane and the radar station, d is the horizontal distance between them, and h is the height of the airplane.
Taking the deriviative with respect to time, we get:
2s ds/dt = 2d dd/dt
Since the airplane is flying at a constant height, we know that dh/dt = 0. Therefore, we can simplify the equation to:
ds/dt = -(d/s) dd/dt
Substituting the given values, we have:
s = 10 km
ds/dt = -400 km/h
h = 6 km
Solving for d, we get:
d = sqrt(s^2 - h^2) = sqrt(10^2 - 6^2) km ≈ 8 km
Substituting into the equation for ds/dt, we have:
-400 km/h = -(8 km/10 km) dd/dt
Simplifying, we get:
dd/dt = 500 km/h
Therefore, the horizontal speed of the plane is:
d/dt = dd/dt / cos(theta)
where theta is the angle between the horizontal distance and the line of sight between the airplane and the radar station. Since the airplane is flying towards the radar station, we can assume that theta is small and approximately equal to the angle of depression. Therefore:
cos(theta) ≈ h/s = 6 km / 10 km = 0.6
Substituting, we get:
d/dt = 500 km/h / 0.6 ≈ 833.3 km/h
Therefore, the horizontal speed of the plane is approximately 833.3 km/h.
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using your knowledge of energy conservation, express q in terms of δu and w .
The first law of thermodynamics provides a fundamental principle for energy conservation in thermodynamic systems. It states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (q) minus the work done by the system (w).
According to the first law of thermodynamics, the energy of a system can neither be created nor destroyed, only transferred or converted from one form to another. As a result, there are two ways to quantify energy change in a system: as a result of heat transfer and as a result of work done. The first law of thermodynamics is expressed mathematically as follows:
ΔU = q - w
where ΔU is the change in internal energy, q is the heat added to the system, and w is the work done by the system.
Therefore, to express q in terms of ΔU and w:q = ΔU + w. This equation allows us to quantify the relationship between heat, work, and the change in internal energy of a system, providing a basis for analyzing and understanding energy transfers in various processes.
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Mrs. Byers is swinging a mass on a string above her head with a radius of 7 m. If she decreases the radius by a factor of 7, by what factor does the centripetal acceleration change?
Answer:
Explanation:
Given:
V₁ = V₂ = V
R₁ = 7 m
n = 7
R₂ = R₁ / n = 7 / 7 = 1 m
____________
aₙ₂ / aₙ₁ - ?
aₙ₁ = V₁² / R₁ = V² / 7
aₙ₂ = V₂² / R₂ = V² / 1 = V²
aₙ₂ / aₙ₁- = V² / (V²/7) = 7
Centripetal acceleration increased by 7 times
Help!
A ball is +8 m from the origin and moves -13 m. What is the ball's final position?
A. 21 m
B.-21 m
C. 55 m
D. -5 m
Answer: D. -5
It is -5 because you subtract 13 from 8 to get to the answer.
Answer:
d -5 m
Explanation:
bc 8 subtract by 13 = 5
suggest how the thermal conductivity of a metal depends on its temperature
Answer:
With an increase in temperature, the electrical conductivity of a pure metal decreases. This implies that the thermal conductivity of the pure metal shows little variance with an increase in temperature. However, a sharp decrease is observed when temperatures approach 0K
a group of students conducted several trials of an experiment to study forces and the acceleration they produce on a given object. the students decided to present the resulting data using a graph rather than a table.
which statement describes an advantage of presenting the data using a graph?
a. tables with many rows of data are not useful
b. tables cannot explicitly show the data from the investigation
c. graphs are more appealing than tables
d. graphs visually show the relationship between the variables under investigation
Answer:
d.
Explanation:
graphs visually show the relationship between the variables under investigation. Table of data shows the quantitative analysis while the graph shows the relationship between y-axis and x-axis. Both of them are important.
Explain why there is a voltage between the two terminals of the secondary coil
Answer:
The coils are not electrically connected. ... the primary coil current produces a magnetic field, which changes as the current changes. the iron core increases the strength of the magnetic field. the changing magnetic field induces a changing potential difference (voltage) in the secondary coil.
There is a voltage between the two terminals of the secondary coil because the magnetic field/magnetic flux is strengthened by the iron core. The secondary coil's potential difference (voltage) changes as the magnetic field changes. Energy is transferred by law of conversation .
What is magnetic flux?
Magnetic flux is the number of magnetic field lines passing through a closed surface.
What is electromagnetic induction?There is a change in magnetic flux associated with a coil it gives rise to an induced current and hence an induced EMF in the coil. This phenomenon is called electromagnetic induction.
What is law of conservation of energy?Law of conservation of energy states that energy can neither be created nor be destroyed . It can only be converted from one form to another form.
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A force of 1000 Newtons is used to push a box on a flat floor. It accelerated at a rate of 5 m/s2. What is the mass of the wagon?
Answer:
67.56kg
Explanation:
Fapp+mg = ma
Fapp= applied force
mg = reactional force
g = acceleration due to gravity
Where g = 9.8m/s^2 a= 5 m/s2, Fapp= 1000N.
1000N = ma + mg
1000N = m( a+g )
1000N = m ( 5+9.8)
1000N = m×14.8
m = 1000÷14.8
m = 67.56kg.
Hence the mass of the wagon will be 67.56kg
Calculate the velocity of an apple that falls freely from rest and drops for 3.5 seconds.
(brainliest and 100 points)
Answer:
initial velocity(u)=0
time(t)=3.5sec
acceleration (a)=9.8m/s²
final velocity (v)=?
Explanation:
we have
v=u+at=0+9.8×3.5=34.3m/s
A disk of radius R = 7. 52 cm is centered at the origin and lies along the y – z plane. The disk has a surface charge density σ = 5. 88 × 10 − 6 C / m 2. Evaluate the electric field produced by this disk along the x axis at point (P = 1. 01 m, 0. 00 m). The Coulomb force constant k = 1 / ( 4 π ϵ 0 ) = 8. 99 × 10 9 N ⋅ m 2 / C 2
The electric field produced by the disk at point P along the x-axis is approximately 333.89 N/C.
Since the disk lies in the y-z plane, the electric field produced by the disk will only have an x-component, which can be calculated using the formula for the electric field produced by a charged disk:
E = σ / (2ε₀) * [1 - (z / √(R² + z²))]
At point P(1.01 m, 0.00 m), the distance from the disk along the z-axis is z = 0, so the formula reduces to:
E = σ / (2ε₀) = (5.88 × 10^-6 C/m²) / (2 * 8.85 × 10^-12 F/m) ≈ 333.89 N/C
Therefore, the electric field produced by the disk is 333.89 N/C.
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. Static electricity is both an enemy and a friend.
Static electricity can be both an enemy and a friend depending on the situation.
How does Static energy work?Static electricity is a well-known electric phenomenon that involves the transfer of charged particles from one body to another. As a friend, static electricity is used in various technologies such as electrostatic spraying, electrostatic printing, and electrostatic precipitators.
However, as an enemy, static electricity can cause sparks that can ignite flammable materials, cause electronic devices to malfunction, and shock people. Static electricity can also cause clothing to cling together or hair to stand on end, which can be annoying but is generally harmless.
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In Young's experiment, light from a red laser (wavelength 700 nm) is sent through two
slit. At the same time, monochromatic visible light with another wavelength passes through the same
apparatus. As a result, most of the pattern that appears on the screen is a mixture of two colors; however, the
center of the third bright fringe of the red light appears pure red. What are the possible wavelengths of the
second type of visible light?
In Young's experiment, the pattern that appears on the screen is a result of interference between two sets of waves that are diffracted through two slits.
The location of the bright fringes in the pattern depends on the wavelength of the light used. This means that the path difference between the waves that interfere to produce this fringe is an integer multiple of the red light's wavelength (700 nm).
ΔL = mλ_red = nλ_other
where ΔL is the path difference between the waves, m and n are integers, λ_red is the wavelength of the red light, and λ_other is the wavelength of the second type of visible light.
Solving for λ_other, we get:
λ_other = (m/n) λ_red.
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Convert 250 N to lb show all work please thank you
Convert 250 Newtons to Pounds-Force
250 Newtons (N)
1 N = 0.224809 lbf
=
56.2022 Pounds-Force (lbf)
1 lbf = 4.44822 N
A 2.60 kg block is in equilibrium on an incline
of 24.3◦
.
The acceleration of gravity is 9.81 m/s
2
.
What is Fn of the incline on the block?
Answer in units of N.
Answer:
W = m g = 2.60 * 9.81 = 25.5 N weight of block
Fn = W cos theta = 25.5 N * cos 24.3 = 23.2 N normal force of plane
Why is the time period of a charged particle in a uniform magnetic field independent of velocity??
Answer:
time period is independent of K.E of particle, it is inversely proportional to specific charge of the particle and it is independent of angle between velocity and magnetic field
in trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. in trial 2, the setup is identical except that the carts stick together during the collision. how does the speed of the two-cart system’s center of mass change, if at all, during the collision in each trial?Trial 1 Trial 2(A) Does not change Does not change(B) Does not change Decreases (C) Decreases Does not change(D) Decreases Decreases
The answer that matches both trials is (A) Does not change - Does not change.
The speed of the two-cart system's center of mass during the collision in each trial can be analyzed using the principle of conservation of momentum. In both trials, the total momentum before and after the collision remains the same.
In Trial 1, the collision is elastic, meaning that both kinetic energy and momentum are conserved. The center of mass does not change during the collision since the total momentum remains constant. Therefore, for Trial 1, the correct answer is "Does not change."
In Trial 2, the carts stick together during the collision, and although kinetic energy is not conserved, the total momentum is still conserved. As a result, the center of mass of the two-cart system does not change during the collision.
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Calculate the Kinetic energy of: 1. a rabbit weighing 10
kg moving at a speed of 5 m/s.
Answer:
125
Explanation:
use the formula e=1/2mv² and use m=10 and v=5
this produces the equation e=1/2x10x25=125
dont forget the units (J) ;)
Answer:
125J
Explanation:
K.e=1/2mv^2
=1/2(10)(5)^2
=125J
Provide three examples of situations in which mass is the main factor determining an object's momentum
The three examples of situations in which mass is the main factor determining an object's momentum are, a moving truck, a moving trailer and a rolling block.
What is momentum?Momentum is the product of mass and velocity of an objectP = mv
where;
m is the mass of the objectv is the velocity of the objectThe three examples of situations in which mass is the main factor determining an object's momentum is below;
A moving truck.A moving trailer.A rolling block.The three examples given above shows three objects with heavy mass.
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1. What is the gravitational force between two 4 kilogram masses separated by a distance of 5
meters?