Answer:
The mammoth bone is 22726 years old.
Explanation:
We can find how hold is the mammoth bone using the decay equation:
[tex]N(t) = N_{0}*e^{-\lambda t}[/tex] (1)
Where:
N(t): is the quantity at time t = 6.25%N₀
N₀: is the initial quantity
λ: is the decay constant
First, we need to find λ:
[tex] \lambda = \frac{ln(2)}{t_{1/2}} = \frac{ln(2)}{5700 y} = 1.22 \cdot 10^{-4} y [/tex]
Now, by solving equation (1) for t we have:
[tex]t = \frac{ln(\frac{N(t)}{N_{0}})}{-\lambda} = \frac{ln(0.0625)}{-1.22 \cdot 10^{-4}} = 22726 y[/tex]
Therefore, the mammoth bone is 22726 years old.
I hope it helps you!
Which has the most momentum?
Select one:
A. 100 kg at rest
B. 20 kg at 2 m/s
C. 5 kg at 50 m/s
D. 10 kg at 5 m/s
Answer: C
Explanation:
A: 100kg*0m/s (obviously not answer)
B: 20kg*2m/s (=40)
C: 5kg*50m/s (=250, safe bet this one is it)
D: 10kg*5m/s (=50)
5 kg at 50 m/s, with a momentum of 250 kg m/s has the most momentum.
Hence, the correct option is C.
To calculate momentum, we use the formula:
Momentum (p) = Mass (m) × Velocity (v)
Let's calculate the momentum for each option:
A. 100 kg at rest
Momentum = 100 kg × 0 m/s = 0 kg m/s
B. 20 kg at 2 m/s
Momentum = 20 kg × 2 m/s = 40 kg m/s
C. 5 kg at 50 m/s
Momentum = 5 kg × 50 m/s = 250 kg m/s
D. 10 kg at 5 m/s
Momentum = 10 kg × 5 m/s = 50 kg m/s
Therefore, 5 kg at 50 m/s, with a momentum of 250 kg m/s has the most momentum.
Hence, the correct option is C.
To know more about momentum here
https://brainly.com/question/30677308
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You are designing a rotor ride for an amusement park. What design will enable the rider to feel the greatest Fn (Normal Force)?
a. Decrease the velocity of the ride and increase the radius
b. Decrease the velocity of the ride and decrease the radius
c. Increase the velocity of the ride and increase the radius
d. Increase the velocity of the ride and decrease the radius
Answer:
d. Increase the velocity of the ride and decrease the radius
Explanation:
The normal force in the amusement park ride is produced by the centripetal force. The formula for this force is given as follows:
Fn = mv²/r
where,
m = mass of the body,
v = velocity of the body
r = radius of the path
Therefore, it is clear from the formula that force has a direct relation with the square of velocity and inverse relation with the radius of path. Hence, the design that will enable the rider to feel the greatest Fn will be:
d. Increase the velocity of the ride and decrease the radius
I am the energy of moving electrons and magnetic interactions. What type of energy am I?|
am the
Answer:
Electrical energy
Explanation:
Electrical energy deals with magnetism and moving electrons
Answer: you are electrical energy
Explanation:
What is vi for an object dropped from a raised position?
Answer:
Option C. vi = 0
Explanation:
An object held at a particular height above the ground is considered to be at rest. If the object is release from that height, the initial velocity (vi) is considered to be zero since the object is at rest or at a stand still position.
Thus,
Initial velocity (vi) = 0
help me plsss, this is worth 30 points!! can someone pls help even if u can only give a few answers it would be helpful.
What is an amu?
lol I'm asking alot of questions
different types of families and describe each
Answer:
there are many types of family but main is 2
Explanation:
1). joint family 2). nucleic family joint family has mother father grandfather grandmother uncle aunty children. and nucliec family has mother father and childrens
Answer: Childless family, Extended family, Step family, Grandparent family, Single parent family, and Nuclear family.
Explanation:
Se colocan tres objetos, muy cerca uno del otro, dos al mismo tiempo. Cuando se juntan los objetos A y B, se repelen. Cuando se acercan los objetos B y C, se repelen. De los siguientes enunciados, ¿cuál es el verdadero? a) Los objetos A y C tienen cargas del mismo signo. b) Los objetos A y C poseen cargas de signos opuestos. c) Los tres objetos tienen cargas de distinto signo. d) Uno de los objetos es neutro. e) Es necesario llevar a cabo experimentos adicionales para determinar los signos de las cargas.
Answer:
Los objetos A y C tienen cargas del mismo signo (opcion a)
Explanation:
Hay dos tipos de cargas : cargas positivas y cargas negativas.
La Ley de Coulomb dice que la fuerza electrostática entre dos cargas puntuales es proporcional al producto de las cargas e inversamente proporcional al cuadrado de la distancia que las separa, y tiene la dirección de la línea que las une y se cumple que:
La fuerza ejercida sobre una carga apunta hacia la otra cuando las dos tienen distinto signo (fuerza atractiva). El sentido de la fuerza se dirige hacia el lado opuesto de la carga cuando ambas tienen el mismo signo (fuerza repulsiva).Es decir que las cargas de igual signo se repelen, mientras que las de diferente signo se atraen.
Entonces, si se juntan los objetos A y B y se repelen significa que la carga es del mismo signo.
Cuando se acercan los objetos B y C, se repelen. Entonces significa que posee carga de igual signo.
Por lo que podes concluir que los objetos A y C tienen cargas del mismo signo (opcion a)
Which part of a DC generator keeps the electric current flowing in only one
direction?
A. The permanent magnets
B. The commutator
o
C. The power source
D. The wire coil
How do pith balls become stationary?
HELP ASAP!!!
A force of 50N acts in an easterly direction on an object at the same time as a force of 80N pushes on it in the direction of N 45 degrees E. Determine the magnitude and direction of resultant force
Write each force in component form:
v ₁ : 50 N due east → (50 N) i
v ₂ : 80 N at N 45° E → (80 N) (cos(45°) i + sin(45°) j ) ≈ (56.5 N) (i + j )
The resultant force is the sum of these two vectors:
r = v ₁ + v ₂ ≈ (106.5 N) i + (56.5 N) j
Its magnitude is
|| r || = √[(106.5 N)² + (56.5 N)²] ≈ 121 N
and has direction θ such that
tan(θ) = (56.5 N) / (106.5 N) → θ ≈ 28.0°
i.e. a direction of about E 28.0° N. (Just to clear up any confusion, I mean 28.0° north of east, or 28.0° relative to the positive x-axis.)
A 25 N force is used to push a box across a floor against a frictional force of 14 N. The box
accelerates from rest to a speed of 4 m/s in 16 s. What is the mass of the box?
Answer:
[tex]m = 44~Kg[/tex]
Explanation:
Net Force
Newton's second law explains the dynamics principles when a number of forces are applied to an object.
The net force vector is the sum of the individual vector forces applied. The magnitude of the net force is related to the magnitude of the acceleration of the body as follows:
[tex]Fn=m.a[/tex]
Furthermore, the acceleration can be calculated if we know the kinematic behavior of the body:
[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]
Where vf, vo, and t are the final speed, initial speed, and time, respectively.
The box is pushed across the floor with a force of 25 N against a frictional force of 14 N.
The net force applied to the box is:
[tex]Fn = 25 N - 14 N = 11 N[/tex]
We also know the box is accelerated from rest (vo=0) to vf=4 m/s in t=16 seconds, thus:
[tex]\displaystyle a=\frac{4-0}{16}[/tex]
[tex]a = 0.25~m/s^2[/tex]
From the equation:
[tex]Fn=m.a[/tex]
We solve for m:
[tex]\displaystyle m=\frac{Fn}{a}=\frac{11~N}{0.25~m/s^2}[/tex]
[tex]\mathbf{m = 44~Kg}[/tex]
A stone is thrown at an angle of 34.0° above the horizontal from the top edge of a cliff with an initial speed of 18.3 m/s. A stopwatch measures the stone's trajectory time from the top of the cliff to the bottom at 2.6 s. What is the height of the cliff?
Answer:
Explanation:
Using the formula for calculating the maximum height in projectile
H = u²sin²theta/2g
u is the initial velocity = 18.3m/s
g is the acceleration due to gravity = 9.8m/s²
theta = 34°
Substitute
H = u²sin²theta/2g
H = 18.3²(sin34)²/2(9.8)
H = 334.89(0.5592)²/19.62
H = 5.337m
Hence the height of the cliff is 5.337m
help me, please!!!!!!
Answer:
Explanation:
The highest surface part of a wave is called the crest, and the lowest part is the trough. The vertical distance between the crest and the trough is the wave height. The horizontal distance between two adjacent crests or troughs is known as the wavelength...
If the ratio between the frequency of a man's voice and that of a girl's voice is 3/4, what
is the ratio between the speeds of the voices of the man and the girl in air ?
Answer:
it is 34
34 is th answer
Explanation:
A whale travels 112 meters at 14 m/s How long does this take?
Answer:
8
Explanation:
112meters divided by 14
If Chris throws the baseball 60 meters forward in 4.2 sec, what is the velocity of the ball? I need answer immediately
Answer:
14.3 m/s
Explanation:
velocity equation
v= d/t
v= 60/4.2
v=14.28
round it to 1 decimal place
v= 14.3m/s
can a chemical change be undone?
Answer:
no
Explanation:
because it will bind together in the molecular level
A small chunk of wax floats if placed in water. If huge piece of wax that is as heavy as a
car, is placed in water, it will
A rocket has a mass of 142 kg. If you want to give it an acceleration of 7 m/s2 how much force does the engine need to apply
Explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 142 × 7
We have the final answer as
994 NHace this helps you
A water tank is filled with up to 3.5 m height.Calculate the pressure given by the tank at its bottom
Answer:
96.04Pa
Explanation:
height=3.5m
gravity=9.8%
density=9.8/3.5
=2.8
Preassure=h×g×d
=3.5×9.8×2.8
=96.04Pa
What is the electric potential, i.e. the voltage, 0.30 m from a point charge of 6.4 x 10-C?
Answer:
V = 192 kV
Explanation:
Given that,
Charge, [tex]q=6.4\times 10^{-6}\ C[/tex]
Distance, r = 0.3 m
We need to find the electric potential at a distance of 0.3 m from a point charge. The formula for electric potential is given by :
[tex]V=\dfrac{kq}{r}\\\\V=\dfrac{9\times 10^9\times 6.4\times 10^{-6}}{0.3}\\\\V=192000\ V\\\\V=192\ kV[/tex]
So, the required electric potential is 192 kV.
Two forces act on a 6.00-kg object. One of the forces is 10.0 N. If the object accelerates at 2.00 m/s2
,
what is the greatest possible magnitude of the other force?
Given :
Two forces act on a 6.00-kg object. One of the forces is 10.0 N.
Acceleration of object 2 m/s².
To Find :
The greatest possible magnitude of the other force.\
Solution :
Let, other force is f.
So, net force, F = 10 + f.
Now, acceleration is given by :
[tex]a=\dfrac{F}{mass}\\\\a= \dfrac{10+f}{6}\\\\\dfrac{10+f}{6}=2\\\\f = 12 - 10\\\\f = 2 \ N[/tex]
Therefore, the greatest possible magnitude of the other force is 2 N.
Hence, this is the required solution.
A sled with no initial velocity accelerates at a rate of 3.2 m/s2 down a hill. How long does it take the sled to go 15 m to the bottom? *
how do pteropods get energy
Answer:
Pteropods are little mollusks (related to snails, slugs and squid) that drift around in ocean currents, feeding on nutrient-rich plankton. Their rich diet makes them delicious to many fish. Seals eat many fish, and sharks eat seals and fish, so there it is: not even 6 degrees of shark separation.
Explanation:
How might heating the molecules inside the bottle change the motion of the molecules?
A planet similar to the Earth has a radius 5 × 106 m and has an acceleration of gravity of 10 m/s 2 on the planet's surface. The planet rotates about its axis with a period of 25 h. Imagine that the rotational speed can be increased. If an object at the equator is to have zero apparent weight, what is the new period? Answer in units of h.
Answer:
The new period is approximately 3.93 × 10⁻⁷ h
Explanation:
The radius of the planet = 5 × 10⁶ m
The acceleration due to gravity on the planet, a = 10 m/s²
The period of the planet = 25 h
The centripetal force, [tex]F_c[/tex], is given by the following equation;
[tex]F_c = \dfrac{m \cdot v^2}{r}[/tex]
Where;
v = The linear speed
r = The radius
Therefore, for the apparent weight, W, of an object to be zero, we have;
The weight of the object = The centripetal force of the object
W = Mass, m × Acceleration due to gravity, a
∴ W = [tex]F_c[/tex]
Which gives;
[tex]m \times a = \dfrac{m \cdot v^2}{r}[/tex]
[tex]a = \dfrac{v^2}{r}[/tex]
∵ r = The radius of the planet
We have;
[tex]10 = \dfrac{v^2}{5 \times 10^6}[/tex]
v² = 10 × 5 × 10⁶
v = √(10 × 5 × 10⁶) ≈ 7071.07 m/s
The new frequency = Radius of the planet/(Linear speed component of rotation)
∴ The new frequency = 5 × 10⁶/(7071.07) = 707.107 revolutions per second
The new frequency = 707.107 × 60 × 60 = 2545585.2 revolutions per second
The new period = 1/Frequency ≈ 3.93 × 10⁻⁷ hour.
a feather will fall through the air more slowly than a brick because of
Answer:
Air resistance
Explanation:
Because the air gives a much greater resistance to the falling motion of the feather than it does to the brick. The air is actually an upward force that is acting against gravity and slowing down the rate at which the feather falls.
Convert 93.6 miles per hour. Convert this to kilometers per hour.
Answer:
150.6 km
Explanation:
One mile is about 1.61 km so multiply 93.6 by 1.6 which gives you above 150.6
What is mass and the temperature ?
Answer:
Mass is a measure of the amount of matter in an object.
A measure of the warmth or coldness of an object or substance with reference to some standard value.
Explanation:
If two objects have the same mass, the object with the higher temperature has greater thermal energy. Temperature affects thermal energy, but temperature isn't the same thing as thermal energy. That's because an object's mass also affects its thermal energy.
Answer:
Explanation:
Mass is a measurement of how much matter is in an object. Mass is a combination of the total number of atoms, the density of the atoms, and the type of atoms in an object. Mass is usually measured in kilograms which is abbreviated as kg. In physics there are different ways of determining the quantity of mass
Temperature definition, a measure of the warmth or coldness of an object or substance with reference to some standard value. The temperature of two systems is the same when the systems are in thermal equilibrium.