13)
Recall, the law of conservation of energy states that energy is not created nor destroyed but it is converted from one form to another. At the initial positions of the balls above the ground, each has potential energy. As they begin to fall, the potential energy is converted to kinetic energy. As they reach the floor, the energy is fully kinetic
Thus,
potential energy of ball at the top = kinetic energy at the bottom
The formula for calculating potential energy, PE is expressed as
PE = mgh
where
m is the mass of the ball
h is the height above the ground
g is the acceleration due to gravity
The formula for calculating kinetic energy, KE is expressed as
KE = 1/2mv^2
where
m is the mass of the ball
v is the velocity of the ball
Considering the basketball,
m = 0.58
h = 2
g = 10m/s^2
mgh = 1/2mv^2
By substituting these values into the equation, we have
0.58 x 10 x 2 = 1/2 x 0.58 x v^2
11.6 = 0.29v^2
Dividing both sides of the equation by 0.29, we have
11/6/0.29 = 0.29v^2/0.29
v^2 = 40
v = square root of 40
v = 6.32 m/s
The speed of the basketball on hitting the ground is 6.32 m/s
The kinetic energy = 1/2 x 0.58 x 40 = 11.6 J
For the Tennis ball,
m = 0.058
h = 2
0.058 x 10 x 2 = 1/2 x 0.058 x v^2
0.029v^2 = 20
v^2 = 20/0.029 =
I’ve been struggling with this question, help!
The masses of the two objects MA and MB in the binary system are 4 Mo respectively.
How can the masses of the binary systems be calculated?The masses of binary systems can be calculated using Kepler's laws of planetary motion and observations of the system.
Let's denote the masses of the two objects as MA and MB, where MA is the mass of object A and MB is the mass of object B. We know that the total mass of the binary system is 8 Mo, so:
MA + MB = 8 Mo
We also know that the ratio of the distances between the two objects is 1/3. Let's denote the distance between the two objects as d, so we have:
d(A to B) / d(Binary System) = 1/3
We can simplify this equation by using the fact that the distances between the objects and the binary system add up to the total distance between the objects:
d(A to B) + d(B to binary system) = d(Binary system)
Since we know the ratio of the distances, we can substitute 1/3d for d(B to binary system):
d(A to B) + 1/3d = d(Binary system)
3d(A to B) + d = 3d(Binary system)
Substituting d(A to B) for d(Binary system) - d(B to binary system), we get:
3d(A to B) + d = 3(d(A to B) + d(B to binary system))
2d(A to B) = 2d(B to binary system)
d(A to B) / d(B to binary system) = 1
So the two objects are at the same distance from the binary system center of mass. This means that the masses of the two objects are equal:
MA = MB
Substituting this into the first equation, we get:
2MA = 8 Mo
MA = MB = 4 Mo
Therefore, the mass of each object is 4 Mo.
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Heat transfer by convection occurs when...
Answer:
Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy.
Explanation:
Heat energy is transferred from hot places to cooler places by convection.
How does the magnitude of the gravitational force FYFY exerted by Planet Y on its satellite compare to the gravitational force FXFX exerted by Planet X on its satellite
Answer:
B ( Fy=3/4Fx)
Explanation:
The weight of a person can be represented by a vector that acts...
Question 3 of 10
What is the primary means by which heat is transferred through fluids?
O A. Direct contact of particles
OB. Radiation
OC. Electromagnetic waves
OD. Convection currents
The primary means by which heat is transferred through fluids is convection currents (option D).
What is convection current?Convection is the transmission of heat in a fluid by the circulation of currents.
Heat can be transferred by different methods depending on the medium. Fluids like gases and liquids transfer heat through the process of convection.
Therefore, the primary means by which heat is transferred through fluids is convection currents.
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Một sóng cơ học được truyền theo phương Ox với biên độ không đổi. Phương trình dao động tại
nguồn O có dạng u = 6sinπt/3 (cm) (t đo bằng giây). Tại thời điểm t1 li độ của điểm O là 3 cm. Vận tốc dao
động tại O sau thời điểm đó 1,5 (s) là
Explanation:
omaygoodnezz it's so hard
what conditions made it possible for earth's interior to separate into layer?
Answer:
Separation of the Earth into layers (crust, mantle, inner core, and outer core) was largely caused by gravitational differentiation (separating different constituents at temperature where materials are liquid or plastic, owing to differences in density) early in Earth's history.
Explanation:
hoped it helped!!
An object accelerates uniformly from rest to a speed of
50 meters per second in 5.0 seconds. The average speed of
the object during the 5.0-second interval is
A 5.0 m/s
B 10 m/s
C 25 m/s
D 50 m/s
Answer:
25
Explanation:
v=u+at.
50=a(5)
a=10m/s^2.
distance= ut+ 1/2 at^2
=125
average speed = total distance/total time
=125/5
=25
The average speed of the object during the 5.0-second interval as it accelerates uniformly from rest is 25m/s.
Hence, Option C) 25 m/s is the correct answer.
Given the data in the question;
Since the object was initially at rest,
Initial velocity; \(u = 0\)Final velocity; \(v = 50m/s\)Time; \(t = 5.0s\)
First we determine the acceleration "a", using the First equation of motion:
\(v = u + at\)
Where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time.
We substitute our values into the equation
\(50m/s = 0 + ( a \ * \ 5.0s)\\\\a = \frac{50m/s}{5.0s} \\\\a = 10m/s^2\)
Next we Calculate the distance travelled by the object
From the Second Equation of Motion:
\(s = ut \ + \ \frac{1}{2}at^2\)
Where, u is the initial velocity, a is the acceleration and t is the time and s is the distance travelled.
Wes substitute our values into the equation
\(s = (0\ * 5.0s) + ( \frac{1}{2} \ *\ 10m/s^2 \ * (5.0s)^2)\\\\s = \frac{1}{2} \ *\ 10m/s^2 \ * 25s^2\\\\s = 125m\)
Now, we can get the Average speed of the object.
We know that, Speed is the distance travelled per unit time.
\(Speed = \frac{Distance}{Time}\)
We substitute our values into the equation
\(Speed = \frac{125m}{5.0s}\\\\Speed = 25m/s\)
The average speed of the object during the 5.0-second interval as it accelerates uniformly from rest is 25m/s.
Hence, Option C) 25 m/s is the correct answer.
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A jet requires 5 seconds of acceleration from rest to cover a 94 m distance. What was the acceleration?
When ever there is a change in Velocity, there will be Acceleration. Let us now understand the concept of Acceleration with illustrative examples.
Let's suppose I have a car moving with a constant Velocity of 90 km along a straight line. It can be seen that the helicopter flying at roughly a speed of 20,000 km.
using the equation of motion formula;
S = ut + 1/2 + at²
Given,
S = 94 m
t = 5 sec
U = 0 initial velocity
S = ut + 1/2at²
94 = 0 + 1/2a 5²
a = (94 × 2)/ 25
Acceleration = 7.52 m/s²
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A ball is thrown straight up in the air at an initial speed of 30 m/s. At the same time the ball is thrown, a person standing 70 m away begins to run toward the spot where the ball will land. How fast will the person have to run to catch the ball just before it hits the gro
Answer:
11.44 m/s
Explanation:
We are given;
Initial Speed of ball;v_o = 30 m/s
Distance from person to ball;d = 70 m
Now, from projectile motion, the ball will hit the ground in time given by the formula;
t = (2v_o)/g
Wherr;
t is time taken
v_o is initial velocity
g is acceleration due to gravity
Plugging in the values with g = 9.8 m/s² as acceleration due to gravity, we have;
t = 2(30)/9.8
t = 6.12s
Now, the person will need to run 70m in 6.12s
We know that velocity/speed = distance/time
Thus;
Speed = 70/6.12
Speed = 11.44m/s
A 750 kg race car accelerates to the right. The engine applies a force of
+7000 N to the car. The total friction on the car in the opposite
direction is -200 N.
Find the net force on the car then use 'Fnet = m a' to find the
acceleration.
O a
b
Oc
Od
12.4 m/s2
10.5 m/s2
8.0 m/s2
9.1 m/s2
L 2.5.2 Test (CST): The Brain and the Body
Question 4 of 10
The
lobes are important for decision making and judgment.
A. frontal
B. temporal
O c. parietal
D. occipital
SUBMIT
Answer:
I believe it's A frontal. Hope this can help
The frontal lobes are important for decision-making and judgment. The correct answer is A.
What are frontal lobes?The frontal lobes are located at the front of the brain and are involved in a variety of cognitive functions, including reasoning, problem-solving, planning, decision-making, and judgment. The prefrontal cortex, which is located in the frontal lobes, is especially important for these functions.
In addition, the frontal lobes are involved in the control of voluntary movements, speech production, and the regulation of emotions and social behavior. Damage to the frontal lobes can lead to a variety of cognitive and behavioral deficits, including difficulty with decision-making and judgment, impaired impulse control, and changes in personality.
The temporal lobes are located on the sides of the brain and are involved in the processing of auditory information, as well as memory formation and recognition of faces and objects. The parietal lobes are located at the top and back of the brain and are involved in the processing of sensory information from the body, such as touch and proprioception. The occipital lobes are located at the back of the brain and are primarily involved in the processing of visual information.
Therefore, The correct answer is A i.e Frontal lobes are important for decision-making and judgment.
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According to the principal of superposition,
Answer:
the resultant wave is the algebraic sum of all the waves reaching that particular point at a given time.
Explanation:
imagine two or three waves reaching a particular particle x at the same time. The particle will vibrate those waves and give out or transmit a resultant wave which is the algebraic sum of the incoming two waves. If both the waves have the same amplitude and phase, the resultant wave will be amplified. However if the waves have the same amplitude and equal but opposite phase then the resultant wave will be a straight line
40 POINTS!!! PLEASE HELPP!!!
Please select the word from the list that best fits the definition
One form of energy changes to one other form
(A.) single transformation
(B.) multiple transformation
Answer:
A
Explanation:
if it was B it would say from one to another to another
You are driving your 1800 kg car at 21 m/s over a circular hill that has a radius of 150 m. A deer running across the road causes you to hit the brakes hard while right at the summit of the hill, and you start to skid. The coefficient of kinetic friction between your tires and the road is 0.75.
What is the magnitude of your horizontal acceleration as you begin to slow?
The magnitude of your horizontal acceleration as you begin to slow is 7.35m/s².
Applying work-energy theorem,
Total work done on the body by all the forces = change in kinetic energy.
So, here,
Work done by friction = ∆KE
-uMgd = 1/2M(v²-u²)
u is the coefficient of friction,
M is the mass of the car,
g is the acceleration due to gravity,
v is the final velocity of car,
u is the final velocity of car,
d is the horizontal distance moved by car.
(-0.75)(1800)(9.8)d = -1/2(1800)(21)²
d= 30 meters.
Applying Equation of motion,
V²-U²=2ad
Where a is the horizontal acceleration,
-(21×21) = 2(30)a
a = 7.35m/s².
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I need help solving this because I don’t understand how on brainly -14z goes to a positive
Firstly, let us write the equation
\(-15.5+6.5z=-3.25(4z+9.5)\)Let us apply the distribution on the right side:
\(-15.5+6.5z=-3.25*4z-3.25*9.5\)Calculating the values:
\(-15.5+6.5z=-13z-30.875\)Putting all the z's on the same side:
\(6.5z+13z=15.5-30.875\)WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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Dinitrogen oxide has?
a ball is thrown horizontally from a height of 1 m and lands 5 m away
Answer:
it's from gravity because when you throw something up it goes forward a certain distance
Jontell finds a giant spring that has a 350N/m spring constant. Jontell figures out how to compress is 1.5m. If Jontell and his spring propelled cart's mass is 85kg, how fast is he going after the push fromthe spring? PEspring1/2*k*x?^2
Given data
*The given mass of the propelled cart's is m = 85 kg
*The given spring constant is k = 350 N/m
*The spring compresses at a distance is x = 1.5 m
The formula for the speed is given by the conservation of energy as
\(\begin{gathered} U_{p.e}=U_k \\ \frac{1}{2}kx^2=\frac{1}{2}mv^2 \\ v=\sqrt[]{\frac{kx^2}{m}} \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} v=\sqrt[]{\frac{350\times(1.5)^2}{85}} \\ =3.04\text{ m/s} \end{gathered}\)Can someone please explain how to do this?
A babysitter pushing a stroller starts from rest and accelerates uniformly at a rate of 0.778 m/s^2. What is the velocity of the stroller after it has traveled 5.54 m?
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.
Which describes velocity?
Answer:
Velocity is the rate at which the position changes. The average velocity is the displacement or position change per time ratio.
Explanation:
Answer:
The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion (e.g. 60 km/h to the north).
Other units: mph, ft/s
In SI base units: m/s
Explanation:
i dont know if this helps.
1. Which type of subatomic particle is not found in the nucleus?(1 point)
a. proton
b. quark
c. electron
d. neutron
Answer:
(c) electron - they are found in the outer "shells" of atoms
The graph below was created from the motion of a cart on a ramp. Use the graph to answer the question that follows.
main seconde
What is the acceleration of the object at t4s?
The cylinder in the picture is rotating at 500 RPMs. The friction coefficients between the cylinder and block B are static=0.5 and kinetic=0.3. Assume both blocks are attached together. Determine if the block system will slide down or not.
Coefficient of static friction = 0.5Coefficient of Kinetic friction = 0.3Angular velocity = 500 RPMsThe Radius of the System
Let R be the radius of cylinder
\(m_a + m_b = 4 + 3 = 7kg\)
The angular velocity is 500 RPMs
\(\omega ^2 = \frac{500 * 2\pi}{60} rad/s\\N = (M_a + M_b)\omega ^2 R\)
The normal force
\(f = \mu N = (M_a + M_b) g\\\mu (M_a + M_b) \omega ^2 R = M_a + M_b\\R = \frac{1}{\mu \omega ^2 R}\\\mu_s = 0.5\\R = \frac{1}{0.5 * (\frac{500 * 2\pi}{60})^2 }\\R = 0.0073m\\R = 7.3mm\)
Since the radius is very little for two block to execute circular motion so system will slide down.
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A 1.70 m tall woman stands 5.00 m in front of a camera with a 50.00 cm focal
length lens. Calculate the size of the image formed on flim
Answer:
18.89cm
Explanation:
As we know that the person is standing 5m in front of the camera
\(d_0=5m=500cm\)
The focal length of the lens =50cm
f=50 cm
By Lens formula we have:
\(\dfrac{1}{f} = \dfrac{1}{d_i} + \dfrac{1}{d_o}\\\dfrac{1}{50} = \dfrac{1}{d_i} + \dfrac{1}{500}\\\dfrac{1}{d_i} =\dfrac{1}{50}-\dfrac{1}{500}\\\dfrac{1}{d_i}=0.018\\d_i=55.56cm\)
By the formula of magnification
\(\dfrac{h_i}{h_o} = \dfrac{55.56}{500}\\\\h_i = \dfrac{55.56}{500} \times h_o\\\\ h_o=1.70m=170cm\\\\Therefore: h_i=\dfrac{55.56}{500} \times$ 170 cm\\\\h_i =18.89 cm\)
The height of the image formed is 18.89cm.
A person walks 2 miles in 30 minutes. figure out how many feet per second the travel
Air trapped inside a single-piston-cylinder exerts a pressure of 760 mmHg. If its volume is increased by 20% at a constant temperature, the pressure exerted would be equal to
he change in the pressure of the air trapped in the cylinder if its volume is increased by 20% at a constant temperature is 745 mmHg.
What is the change in the pressure of the air trapped in the cylinder?The change in the pressure of the air trapped in the cylinder if its volume is increased by 20% at a constant temperature is calculated from Boyle's law equation as follows:
The Boyle's law equation is given as follows:
P₁V₁ = P₂V₂
where;
P₁ is the initial pressure
V₁ is the initial volume
P₂ is the final pressure
V₂ is the final volume
From the data given,
P₁ = 760 mmHg
V₁ = V
P₂ = ?
V₂ = V + 0.2 V
V₂ = 1.02 V
P₂ = 760 * V / 1.02 V
P₂ = 745 mmHg
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A wooden block (m = 1.95 kg) slides down an incline from a height 1.30 m above a tabletop and eventually comes to a stop due to friction between the block and the table. What is the change in the block-Earth system's gravitational potential energy?
Potential energy= mgh = 1.95 * 9.8 * 1.30 = 24.843 joule.
What is Potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.
Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.
Therefore, Potential energy= mgh = 1.95 * 9.8 * 1.30 = 24.843 joule.
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