The momentum is defined as:
\(p=mv\)where m is the mass and v is the velocity of the object.
Plugging the values given and solving for v we have:
\(\begin{gathered} 6.7=4.5v \\ v=\frac{6.7}{4.5} \\ v=1.49 \end{gathered}\)Therefore the rock was moving at 1.49 m/s (rounded to two decimals)
the earth's moon has a gravitational field strength of about 1.6 n/kg near its surface. the moon has a mass of 7.35x10^22 kg. what is the radius of the moon?
Given that,
The earth's moon has a gravitational field strength of about 1.6 n/kg
Mass of Moon, \(M=7.35\times 10^{22}\ kg\)
To find,
The radius of the Moon.
Solution,
The formula for the acceleration due to gravity is given by :
\(g=\dfrac{GM}{r^2}\)
r is radius of the Moon
\(r=\sqrt{\dfrac{GM}{g}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{1.6}} \\\\r=1750437.44\ m\\\\r=1.75\times 10^6\ m\)
So, the radius of the Moon is \(1.75\times 10^6\ m\).
THe Wilson cloud chamber is used to study the appearance of individual atoms?
Answer:
The Wilson cloud chamber is used to study the direction, speed, and distance of charged particles. Explanation; ... The Wilson cloud chamber works by producing a super-saturated vapor, as explained by florin.
Explanation:
I hope it's help u
How does work done on an object affect its kinetic energy
According to the work-energy theorem, the work done on an object by a net force equals the change in kinetic energy of the object. Essentially kinetic energy is the energy used for motion. Interestingly, as work is done on an object, potential energy can be stored in that object. A moving object has kinetic energy because work has been done on it. When work is done energy in one form is transferred to the kinetic energy of the moving object. To stop the object again, the same amount of work would have to be done to bring it back to rest.
A horse is tied with a long rope at a pole. What distance will the horse run around the pole with rope tightly stretched, if it takes one and a half round?
Answer:
The horse will run a distance of 1.5 times the length of the rope around the pole with the rope tightly stretched.
Explanation:
The distance the horse will run around the pole with the rope tightly stretched can be calculated using the formula for the circumference of a circle:
Circumference = 2 × π × radius
Since the horse takes one and a half rounds, we need to multiply the circumference by 1.5 to get the total distance the horse runs around the pole.
Let's assume that the length of the rope is the radius of the circle, and the horse is tied at the center.
Therefore, the distance the horse will run around the pole with the rope tightly stretched is:
Distance = 1.5 × 2 × π × radius
Since the horse is tied with a long rope, we need to use the length of the rope as the radius of the circle.
Let's assume that the length of the rope is 'L'. Then the radius of the circle is equal to L/2π.
Substituting this value in the formula, we get:
Distance = 1.5 × 2 × π × (L/2π)
Simplifying the expression, we get:
Distance = 1.5 × L
Therefore, the horse will run a distance of 1.5 times the length of the rope around the pole with the rope tightly stretched.
If the participants have been reassigned, what type of variable would each have been??
If the participants hadn't been reassigned, age would have been a confounding variable. Option D
What are confounding variables?A confounding variable is a variable that is associated with both the independent variable and the dependent variable.
In this case, age is associated with both video game playing and mood. Younger people are more likely to play video games, and they are also more likely to have better moods.
If the participants hadn't been reassigned, the difference in mood between the experimental and control groups could have been due to the difference in age, not the difference in video game playing.
Find more exercises on confounding variable;
https://brainly.com/question/29419015
#SPJ1
How does the energy in matter affect the state?
Answer:
Because of melting and freezing a higher heat will make something a plasma or liquid by melting it. by freezing you can make a liquid or gas solid.
Explanation:
What is reverberation?
Pic attached below
Reverberation is multiple echoes that prolong the sound and make it sound livelier.
What is reverberation?Reverberation is the persistence of sound in an enclosed space after the original sound source has stopped. When a sound is produced in a room, it reflects off the surfaces of the room, such as walls, ceiling, and floor, and bounces back and forth multiple times before it eventually fades away. This multiple reflection of sound creates a series of echoes that can be heard in the room, which is known as reverberation.
Therefore, Reverberation can have a significant impact on the quality of sound produced in a room. In some cases, it can enhance the sound by creating a sense of spaciousness and liveliness, making the sound more natural and pleasant to the ear. However, in other cases, reverberation can be problematic and create a muddy sound that is difficult to understand or distinguish.
Read more about reverberation here:
https://brainly.com/question/30718414
#SPJ1
See text below
What is reverberation? *
Choose
multiple echo that prolongs the sound, sounds livelier
single echo that deconstructs the sound, sounds muddy
an echo that give the fundamental harmonic
multiple echoes that makes the sound muddy
when a resonance creates an echo
A box with mass 40.7 kg (m) is pulled up a 14.5° (0₁) incline with a coefficient of kinetic friction (H) of .17. The force pulling the box (Fp) is 173 N and is applied at a 25.7° (0₂) above the parallel to the plane. What is the boxes acceleration up the ramp?
thanks !!
The boxes acceleration up the ramp is approximately 0.109 m/s².
The forces acting on the box can be resolved into two components: one parallel to the incline (F_parallel) and one perpendicular to the incline (F_perpendicular).
Given:
Mass of the box (m) = 40.7 kg
Coefficient of kinetic friction (μ) = 0.17
The force pulling the box (F_p) = 173 N
Incline angle (θ₁) = 14.5°
Force angle (θ₂) = 25.7°
First, we need to calculate the components of the force pulling the box:
F_parallel = F_p * sin(θ₂)
F_perpendicular = F_p * cos(θ₂)
Next, let's calculate the force of friction:
F_friction = μ * (mass of the box) * g, where g is the acceleration due to gravity (approximately 9.8 m/s²)
The force component parallel to the incline is opposed by the force of friction, so:
Net force parallel to the incline (F_net_parallel) = F_parallel - F_friction
Now, we can calculate the acceleration using Newton's second law:
F_net_parallel = (mass of the box) * acceleration
Rearranging the equation, we get:
acceleration = F_net_parallel / (mass of the box)
Now we can substitute the values into the equations and calculate the acceleration
F_parallel = 173 N * sin(25.7°) ≈ 73.88 N
F_perpendicular = 173 N * cos(25.7°) ≈ 154.37 N
F_friction = 0.17 * (40.7 kg) * 9.8 m/s² ≈ 69.44 N
F_net_parallel = F_parallel - F_friction ≈ 73.88 N - 69.44 N ≈ 4.44 N
acceleration = (4.44 N) / (40.7 kg) ≈ 0.109 m/s²
Therefore, the box's acceleration up the ramp is approximately 0.109 m/s².
For more such questions on acceleration:
https://brainly.com/question/30595126
#SPJ8
A 20 g ball of clay traveling east at 6.5 m/s collides with a 65 g ball of clay traveling north at 2.0 m/s.
Part A
What is the speed of the resulting 85 g ball of clay?
Part B
What is the direction of the resulting ball of clay?
A 20 g clay ball traveling east at 6.5 m/s and a 65 g clay ball moving north at 2.0 m/s clash and the speed and direction of the resulting 85 g clay ball is 4.68 m/s and 45°.
The collision is referred to be an inelastic collision if the total kinetic energy after the collision is lower than the total kinetic energy before the collision. In a two-dimensional collision, the two objects move and make a specific angle with one another after colliding. In an inelastic collision, the objects m₁ and m₂ are traveling in the same direction but at an angle of x degrees at v₁ and v₂ speeds, respectively.
Given
mass of first clay ball m = 20 g = 0.020 kgmass of second clay ball M = 65 g = 0.065 kgspeed of the first clay ball u₁ = 6.5 m/sspeed of the second clay ball u₂ = 2.0 m/sBy conservation of momentum for horizontal components,
\(\begin{aligned}mu_1&=(m+M)v_x\\v_x&=\frac{mu_1}{m+M}\\&=\frac{0.020\times6.5}{0.085}\\&=\mathrm{1.53\;m/s}\end{aligned}\)
By conservation of momentum for vertical components,
\(\begin{aligned}Mu_2&=(m+M)v_y\\v_y&=\frac{Mu_2}{m+M}\\&=\frac{0.065\times 2.0 }{0.085}\\&=\mathrm{1.53\;m/s}\end{aligned}\)
A. The resultant speed of an 85 g clay ball,
\(\begin{aligned}v&=\sqrt{v_x^2+v_y^2}\\&=\sqrt{1.53^2+1.53^2}\\&=\mathrm{4.68\;m/s}\end{aligned}\)
B. The direction is found by,
\(\begin{aligned}\tan \theta&=\frac{1.53}{1.53}\\\theta&=45^{\circ}\end{aligned}\)
The answers are 4.68 m/s and 45°.
To know more about inelastic collision:
https://brainly.com/question/14521843
#SPJ4
FIND THE DISTANCE BETWEEN TWO GIVEN POINTS.
1. S (5, -1) and T (5, 7)
Answer:
8 units
Explanation:
The speed of a cart is increased uniformly from 0.32 meters per second to 1.43 meters per second in 1.82 seconds. The cart’s acceleration is
Answer:
0.610m/s^2
Explanation:
Acceleration is defined as the ΔV/ΔT. In this case, the change in velocity is 1.43-0.32=1.11 m/s. The change in time is 1.82 seconds. Plugging in what we know, it will result in an acceleration of 0.610 m/s^2.
students in a lab are doing experiments involving the motion of objects. they pull an object across a table and use a detector to measure the acceleration of the object for the entire time they pull it. The graph shows the data from the detector, with four segments labeled
Based on the acceleration-time graph, the segments of the motion in which the object experience a net force are both 1 and 3.
What is Newton's Second Law of Motion?Newton's Second Law of Motion states that the acceleration of an object is inversely proportional to its mass and directly proportional to the net force acting on the physical object.
How to calculate the net force.Mathematically, the net force acting on the car is given by Newton's Second Law of Motion:
\(F=ma =\frac{m(v\;-\;u)}{t}\)
Where:
m is the mass.t is the time.u is the initial velocity.u is the final velocity.a is the acceleration.Note: Mass represents the conversion factor between net force and acceleration on an acceleration-time graph.
Based on the acceleration-time graph, the segments of the motion in which there is a net force acting on the object are both 1 and 3 while it experienced constant acceleration at segment 2 and 4.
Read more on net force here: brainly.com/question/1121817
Which of the following should a warm up NOT include?
Select one:
A. A few minutes of cardiovascular exercise
B. A light version of the exercise you will be performing
C. Intense stretching
D. All of the above should be included in a warm up
Find the acceleration due to gravity on planet Fergie which has a mass of 6.23 * 10^23 kg and a radius of 5.79* 10^7 m
Answer:
The acceleration due to gravity on the planet Fergie is 0.0123 m/s^2.
Explanation:
We want to find the acceleration due to gravity on the planet Fregie. Let it be g m/s^2.
Now, the acceleration due to gravity is defined through the following equation:
\(mg = GMm/R^2\)
where m is the mass of an object on the surface of the planet, M is the mass of the planet, R is the radius of the planet, and G is the universal Gravitational constant.
Subsituting values for M = 6.23*10^23, R = 5.79*10^7, G = 6.67*10^(-11), we get
g = 0.0123 m/s^2.
Thus the acceleration due to gravity on the planet Fergie is 0.0123 m/s^2.
To know more about the acceleration due to gravity, see
https://brainly.com/question/88039
a 40 kg object is sliding on a surface accelerating to the right. force of friction is 20N, the applied force is 100N. draw and label all forces. what is the acceleration?
When the pressure (100 N) and weight (40 kg) are entered into the appropriate fields, the gravity is 2 m/s².
What is the acceleration force?Force and acceleration are linked by the equation F=ma. The characters "F," "m," and "a" stand for acceleration, mass, and force, respectively. Force is the ability of one object to exert a pull or force on another. Acceleration is the rate at which an object's speed changes.
Describe acceleration in detail.Speed increase is the pace of progress of speed. Acceleration typically indicates a change in speed, but not always. Because its velocity is changing in the opposite direction, even if an object moves in a circle at the same speed, it will still accelerate.
Learn more about acceleration:
brainly.com/question/460763
#SPJ1
Based on the data, which statement describes the most reliable way to
encode and transmit data and tells why?
A. Digital waves are more reliable because they are less likely to
change when copied.
B. Analog waves are more reliable because they include a range of
values like the original.
C. Analog waves are more reliable because they are less likely to
change when copied.
D. Digital waves are more reliable because they are slightly different
from the original.
Answer:it’s A. right for ape x
Explanation:
Based on data, digital waves are more reliable because they are less likely to change when copied (Option A).
What is a wave?A wave is a periodic distortion capable of traveling through a suitable media (either air or water).
The waves can be classified according to their direction into transversal and perpendicular.In conclusion, based on data, digital waves are more reliable because they are less likely to change when copied (Option A).
Learn more on waves here:
https://brainly.com/question/15663649
#SPJ2
What is Moral subjectivism?
Answer:
What Is Moral Subjectivism? Moral subjectivism is based on an individual person's perspective of what is right or wrong. An individual can decide for themselves that they approve or disapprove of a certain behavior, and that is what determines if the behavior is right or wrong.
Question No 1 Find the voltage drop across 24 ohm resistor and current flowing through 22 ohm resistor in the given circuit as shown in figure.
Answer:
8.25 V
Explanation:
We can ignore the 22Ω and 122Ω resistors at the bottom. Since there's a short across those bottom nodes, any current will go through the short, and none through those two resistors.
The 2Ω resistor and the 44Ω resistor are in parallel. The equivalent resistance is:
1 / (1 / (2Ω) + 1 / (44Ω)) = 1.913Ω
This resistance is in series with the 12Ω resistor. The equivalent resistance is:
1.913Ω + 12Ω = 13.913Ω
This resistance is in parallel with the 24Ω resistor. The equivalent resistance is:
1 / (1 / (13.913Ω) + 1 / (24Ω)) = 8.807Ω
Finally, this resistance is in series with the 4Ω resistor. The equivalent resistance of the circuit is:
8.807Ω + 4Ω = 12.807Ω
The current through the battery is:
12 V / 12.807Ω = 0.937 A
The voltage drop across the 4Ω resistor is:
(0.937 A) (4Ω) = 3.75 V
So the voltage between the bottom nodes and the top nodes is:
12 V − 3.75 V = 8.25 V
What happens when a mixture is formed?
Answer:
Explanation:
A mixture can usually be separated back into its original components. Some examples of mixtures are a tossed salad, salt water and a mixed bag of M&M's candy.
The force F acting on a body varies with the displacement s from a point O as shown in the graph.
(a) Calculate the work done when the body is displaced
(i) from s=0 to s = 0.4 m
(ii) from s=0 to s =0.8 m
(b) If the mass of the body is 0.20 kg and its initial velocity is 2.00 m/s, find its velocity
(i) when s = 0.4 m
(ii) when s = 0.8 m
The work done when the body is displaced
(i) from s = 0 to s = 0.4 m is 0.8 J
(ii) from s = 0 to s = 0.8 m is 0.4 J
b. The velocity is
(i) when s = 0.4 m is 2.0 m/s
(ii) when s = 0.8 m is 2.0 m/s
What is the formula for work done?The formula for work done is given below as follows:
Work done = force * distance
Hence, the work done is the area under the force-displacement graph.
The work done when the body is displaced
(i) from s = 0 to s = 0.4 m is :
Work done = ¹/₂* 4 * 0.4
Work done = 0.8 J
(ii) from s = 0 to s = 0.8 m
Work done = ¹/₂* 4 * 0.4 + {¹/₂* (-2) * 0.4}
Work done = 0.4 J
b. The velocity is calculated as follows:
v = √(u² + 2as)
where;
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacementt
Also;
a = F/m
where;
F is force and m is mass
(i) when s = 0.4 m
a = 0/0.20
a = 0
v = √2.0²
v = 2.0 m/s
(ii) when s = 0.8 m
a = 0/0.20
a = 0
v = √2.0²
v = 2.0 m/s
Learn more about velocity and force at: https://brainly.com/question/30317885
#SPJ1
When you perpendicular-park you should, when possible, select a space that lets you drive into the facing space so that when you leave you will:
a. Not have to back out
b. Be able to back out of your space and the one behind you giving you more practice
c. Already have your wheels straight
d. None of the above is correct
Answer:
a. Not have to back out
When you perpendicular-park, if possible, you should select a space that lets you drive into the facing space so that when you leave, you will not have to back out. This will make it easier and safer for you to exit the parking spot and get back on the road.
why do the star constellations seem to move across the sky
Answer: These apparent star tracks are in fact not due to the stars moving, but to the rotational motion of the Earth. As the Earth rotates with an axis that is pointed in the direction of the North Star, stars appear to move from east to west in the sky.
Explanation: why do the star constellations seem to move across the sky
Answer:
because the world moves around and around rotating in a circle and circling around the sun so as we move the stars stay the same but to our view it looks like their moving but in reality we are.
Explanation:
Pleaseee I need help!!
Answer:
R1=3.333 Ohms
R2=10 Ohms
R3=16.666 Ohms
Explanation:
30 total
30=R1+R2R3
30=1(x):3(x):5(x)
x=3.3333
R1=3.333 Ohms
R2=10 Ohms
R3=16.666 Ohms
A string of length 75.0cm has fixed ends. Two consecutive harmonics are 420 Hz and 315 Hz. Find the wave speed and the fundamental frequency.
please use equations: f=vλ and λ=\(\frac{2L}{n}\)
The wave speed is 840 cm/s and the fundamental frequency is 1120 Hz.
Frequency is the number of cycles of a periodic waveform that occur per unit of time. It is measured in Hertz (Hz).
We can use the equation λ=2L/n, where λ is the wavelength, L is the length of the string, and n is the harmonic number. Since the string has fixed ends, the harmonics must be odd-numbered, so we have n=1 for the fundamental frequency, n=3 for the second harmonic (315 Hz), and n=5 for the third harmonic (420 Hz).
Using n=1 and λ=2L/n, we get:
λ = 2L/1
λ = 2L
Using n=3 and λ=2L/n, we get:
λ = 2L/3
Using n=5 and λ=2L/n, we get:
λ = 2L/5
We can use the formula f=v/λ to relate the wave speed v, wavelength λ, and frequency f. For the two consecutive harmonics, we can write:
v/λ1 = f1
v/λ2 = f2
Since the two harmonics are consecutive, we can assume that they correspond to adjacent values of n, so we have:
λ1 = 2L/1 = 2L
λ2 = 2L/3
Substituting these values into the above equations and solving for v, we get:
v = f1λ1 = f2λ2 = (420 Hz)(2L) / (2L) = (315 Hz)(2L)/(2L/3) = 840 cm/s
To find the fundamental frequency, we use the formula f=v/λ1:
f = v/λ1 = 840 cm/s / 2L = (840 cm/s) / (0.75 m) = 1120 Hz
Therefore, the wave speed is 840 cm/s and the fundamental frequency is 1120 Hz.
To learn more about Frequency click:
brainly.com/question/1292129
#SPJ1
20 POINTS
In order to maximize the acceleration of an object, one should
maximize the mass
maximize the force
minimize the velocity
maximize the inertia
An airbys A380 airliner lands at 30 m/s. Partially loaded, its mass is 480000 kg. The engines apply reverse thrust for 12s to slow the plane to 25 m/s.How much thrust did the engines apply?
To determine the thrust applied by the engines, we can use Newton's second law of motion, which states that force (thrust) is equal to mass times acceleration. In this case, we need to calculate the force required to decelerate the plane from 30 m/s to 25 m/s in 12 seconds.
First, we calculate the change in velocity (∆v):
\(\displaystyle\sf \Delta v=25\,m/s-30\,m/s=-5\,m/s\)
Next, we calculate the acceleration (∆a) using the formula:
\(\displaystyle\sf \Delta a=\frac{\Delta v}{\Delta t}\)
where ∆t is the change in time, which is 12 seconds in this case.
\(\displaystyle\sf \Delta a=\frac{-5\,m/s}{12\,s}\)
Now, we can determine the force (thrust) applied by the engines using Newton's second law:
\(\displaystyle\sf F=m\cdot a\)
where m is the mass of the airplane, which is 480000 kg.
\(\displaystyle\sf F=480000\,kg\cdot \left(\frac{-5\,m/s}{12\,s}\right)\)
Calculating the result:
\(\displaystyle\sf F=-200000\,N\)
Therefore, the engines applied a thrust of -200000 Newtons (N) to decelerate the plane. The negative sign indicates that the thrust is in the opposite direction of the motion.
A student pours a spoonful of dirt into a cup of water. The water and dirt are stirred together. The water turns a light brown color. Some dark pieces float to the top of the cup and another dark layer forms on the bottom of the cup. Which statement BEST describes the contents of the cup?
The statement that is correct is that the contents of the cup form a mixture.
What is the nature of the cup?Though the question is incomplete but I would try to give you a good explanation as much as I can. We must recall that when we talk about a mixture, we have to note that the term mixture would refer to the combination of two or more substances that do not chemically react together.
In this case, we have been told that we have a water that was pure and then we add dirt to it. It is clear that the water and the dirt do not react in any way hence what we have formed is a mixture.
Learn more about mixtures:https://brainly.com/question/24898889
#SPJ1
A plane starting at rest from one end of the runway undergoes a uniform acceleration of 4.8 m/s² for 15 seconds before takeoff. What is its speed at takeoff? How long must the runway be for the plane to be able to takeoff?
Starting from rest and accelerating at 4.8 m/s², the plane's velocity at time t is
v(t) = (4.8 m/s²) t
so that after 15 s, its speed at takeoff be
v(15 s) = (4.8 m/s²) * (15 s) = 72 m/s
In this time it takes for the plane to take off, it will travel a distance at time t of
x(t) = 1/2 (4.8 m/s²) t²
and it takes 15 s to take off, so the runway would have to have a length of
x(15 s) = 1/2 (4.8 m/s²) * (15 s)² = 540 m
460miles per hour with the wind nd 420 per hour gainst the wind
The speed of the wind is 20 miles per hour.
To solve this problem, we can use the formula:
Speed = Distance/Time
Let's assume that the speed of the wind is x miles per hour.
With the wind, the plane travels at a speed of 460 miles per hour. This means that its speed relative to the ground is the sum of its airspeed and the speed of the wind:
460 = Airspeed + x
Against the wind, the plane travels at a speed of 420 miles per hour. This means that its speed relative to the ground is the difference between its airspeed and the speed of the wind:
420 = Airspeed - x
We can solve this system of equations to find the airspeed of the plane:
460 = Airspeed + x
420 = Airspeed - x
Adding the two equations gives:
880 = 2Airspeed
Dividing both sides by 2 gives:
Airspeed = 440 miles per hour
Now that we know the airspeed of the plane, we can find the speed of the wind by substituting this value into one of the equations we obtained earlier:
460 = Airspeed + x
460 = 440 + x
x = 20
To learn more about speed visit;
https://brainly.com/question/28224010
#SPJ9
why cant halleys comet be seen from earth only for about one year of its 76-year orbit
Answer:
Halley's comet will next appear in the night sky in the year 2062. It orbits the sun every 75-76 years, so this is the time between appearances.