Answer:
A) Sue is lifting the bucket by a force of 49.035 newtons.
B) The bucket has an acceleration of 8.207 meters per square second on the Moon.
Explanation:
A) According to the First Newton's Law, a system is at equilibrium when it is either at rest or travelling at constant velocity. In this case, Sue must exert an external force on the bucket, whose magnitude is equal to the weight of the bucket but direction is opposed to it. By Second Newton's Law, we find that:
[tex]\Sigma F = F - m\cdot g = 0[/tex] (1)
Where:
[tex]F[/tex] - Lifting force, measured in newtons.
[tex]m[/tex] - Mass of the bucket, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
If we know that [tex]m = 5\,kg[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then the lifting force is:
[tex]F = m\cdot g[/tex]
[tex]F = (5\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]
[tex]F = 49.035\,N[/tex]
Sue is lifting the bucket by a force of 49.035 newtons.
B) By the Second Newton's Law, we have the following model:
[tex]\Sigma F = F-m\cdot g = m\cdot a[/tex] (2)
Where [tex]a[/tex] is the net acceleration of the bucket, measured in meters per square second.
If we know that [tex]F = 49.035\,N[/tex], [tex]m = 5\,kg[/tex] and [tex]g = 1.6\,\frac{m}{s^{2}}[/tex], then the net acceleration of the bucket is:
[tex]a = \frac{F}{m} -g[/tex]
[tex]a = \frac{49.035\,N}{5\,kg}-1.6\,\frac{m}{s^{2}}[/tex]
[tex]a = 8.207\,\frac{m}{s^{2}}[/tex]
The bucket has an acceleration of 8.207 meters per square second on the Moon.
(a) The force applied by Sue in lifting the bucket at a constant velocity is 49 N.
(b) The acceleration of the bucket when lifted on the moon is 8.2 m/s².
The given parameters;
mass of the bucket, m = 5 kgThe force applied by Sue in lifting the bucket at a constant velocity is calculated as;
[tex]F = m(a + g)[/tex]
at constant velocity, a = 0[tex]F= mg\\\\F = 5 \times 9.8\\\\F = 49 \ N[/tex]
The acceleration of the bucket when lifted on the moon with the calculated force is;
[tex]F = m(a + g)\\\\a+g = \frac{F}{m} \\\\a = \frac{F}{m} - g\\\\a = \frac{49}{5} - 1.6\\\\a = 8.2 \ m/s^2[/tex]
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Is a stone in the ground example of newtons first law of motion?
Answer:
yes, a stone in the ground is a example of newtons first law of motion because it does change it position until an external force is applied.
(Newton’s first law states that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force. )
Explanation:
How are a concave lens and a convex lens alike? How are they different?
ANSWER
A convex lens acts a lot like a concave mirror. ... A concave lens acts a lot like a convex mirror. Both diverge parallel rays away from a focal point, have negative focal lengths, and form only virtual, smaller images.
Object X travels across a horizontal surface and collides with object Y. The velocity as a function of time for object X and object Y before, during, and after the
collision is shown in the graph. Both objects have a mass of 2 kg. Which of the following correctly describes the momentum p of the system and the kinetic
energy K of the system?
Answer:
The correct option is;
(B) [tex]\underset{P}{\rightarrow}[/tex] is conserved, K Not conserved
Explanation:
From the diagram related to the question and from the question, we have;
m₁ = m₂ = 2 kg
v₁ = 4 m/s, v₂ = -2 m/s, v₃ = 1 m/s, therefore, we have;
The total initial momentum of the system = m₁ × v₁ + m₂ × v₂
m₁ (v₁ + v₂) = 2×(4 - 2) = 4 kg·m/s
The total final momentum of the system = m₁ × v₃ + m₂ × v₃ = 2 ×1 +2 ×1 = 4 kg·m/s
Given that the total initial momentum = The total final momentum, we have that the momentum, p, is conserved
The kinetic energy of the system before collision = 1/2×m₁×v₁² + 1/2×m₂×v₂²
∴ The kinetic energy of the system before collision = 1/2*2*(4)² + 1/2*2*(-2)² = 20 J
∴ The kinetic energy of the system after collision = 1/2×m₁×v₃² + 1/2×m₂×v₃²
1/2*2*(1)² + 1/2*2*(1)² = 2 J
The kinetic energy of the system before collision ≠ The kinetic energy of the system after collision
Therefore, the kinetic energy of the system is not conserved.
If the velocities of object X and object Y after collision is the same (inelastic collision), then only momentum is conserved but if the velocities of both objects after collision are different (elastic collision), then both momentum and kinetic energy are conserved.
According to principle of conservation of linear momentum, the total momentum before and after collision is conserved.
For inelastic collision, only momentum is conserved while kinetic energy is not conserved.
[tex]m_1u_1 \ + \ m_2u_2 = v(m_1 + m_2)[/tex]
[tex]\frac{1}{2} m_1u_1^2 \ + \frac{1}{2} m_2u_2^2 = \frac{1}{2}v^2(m_1+m_2)[/tex]
For elastic collision, both momentum and kinetic energy are conserved;
[tex]m_1u_1 \ + \ m_2u_2 =m_1v_1 \ + \ m_2v_2[/tex]
[tex]\frac{1}{2} m_1u_1^2 \ + \frac{1}{2} m_2u_2^2 = \frac{1}{2}m_1v_1^2 \ +\ \frac{1}{2}m_2v_2^2[/tex]
Thus, we can conclude that, if the velocities of object X and object Y after collision is the same (inelastic collision), then only momentum is conserved but if the velocities of both objects after collision are different (elastic collision), then both momentum and kinetic energy are conserved.
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PLEASE HELP!!!!
One cereal bar has a mass of 37g. what is the mass of 6 cereal bars? is that more than or less than 1kg. explain your answer
Answer:
6 cereal bars = 222g, which is much less than 1kg
Explanation:
If a golf ball is dropped from the thirteenth floor of a building, ignoring air resistance, after falling for 7.00 seconds the speed of the ball will be?
Explanation:
We know that
V = U + at
Here, u is 0 and a is 9.8 which is acceleration due to gravity.
Thus,
V = 9.8 *7
V = 68.6 m/s
Power describes the
a. rate
b. scale
of the work that is being done.
C. amount
d. direction
Please select the best answer from the choices provided
Ο Α
О В
Ос
OD
Power describes the rate of the work that is being done. The correct option is A.
What is power?
Power is defined as the rate at which work is done or the amount of work done per unit time. In other words, power describes how quickly work is being done or how fast energy is being transferred.
The unit of power is the watt (W), which is equal to one joule of work per second.
Power can be calculated by dividing the amount of work done by the time it takes to do that work, or by multiplying the force applied by the distance traveled and dividing by the time it takes to travel that distance.
For example, if a machine does 100 joules of work in 10 seconds, then the power of the machine is 10 watts, calculated as:
Power = Work / Time
Power = 100 J / 10 s
Power = 10 W
Therefore, power describes the rate or speed at which work is being done, and it is measured in watts.
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Describe the situation that would call for baboons to vote on what to do next
Answer:
baboons??
Explanation:
Answer:trumps downfall
Explanation:Baboons harrases monkeys
plss answer quickly
will mark brainliest
What similarities and differences can you observe about the motion of the Earth and the motion of the Moon?
Answer:
Both the earth and the moon go through rotation.
Explanation:
The earth rotates when going around the sun and the moon rotates when circling the earth
When learning a new exercise what is the first thing you should focus on?
A
how much weight you can lift
B
if your form is correct
Dc
how many sets you can complete
D
if you can get done first
Answer:
If your form is correct (b)
Answer:
The answer is B if your form is correct
Which statement BEST describes scientific theories? A. Scientific theories attempt to explain an entire group of related phenomena. B. Scientific theories are based on facts that describe natural events. C. Scientific theories describe natural events but do not explain them. D. Scientific theories are facts based on observations of events in the natural world.
I NEED ANSWERS FAST!!
Answer:
C
Explanation:
A theory does not have any proven facts about it, it is just a theory, so this would likely be the best option.
Answer:
A. Scientific theories attempt to explain an entire group of related phenomena.
Explanation:
Florida is a peninsula bound by the Atlantic Ocean on the east and the Gulf of Mexico on the west. The sea affects temperatures along Florida’s coast. How do coastal temperatures compare to those inland?
answerb this please asap
the second one
Explanation:
it isn't really a product tho its a byproduct
PLEASE HELP ME!!
If the refractive index of water is 1.33, then its critical angle is...
The speed of a car will increase if the car’s
Answer:
moving at a fast pace
Explanation:
What is the difference between zone coverage and man coverage, and how can the offense team read those coverages?
Answer:
zone coverage is about sensing what the offense is attempting to accomplish against the defense. Each defensive player reacts when the ball is in the air, whereas in man-to-man coverage, he simply plays the receiver.
Explanation:
What is the distance that an airplane traveling at 600 mph, moves during the time it takes to scan the instruments?, (Time is about 0.5 seconds, 5,280 ft/mi)
Answer:
d = 134.11 m
Explanation:
Speed of an airplane, = 600 mph
We need to find the distance moved in 0.5 s (to scan the instruments).
1 mph = 0.44704 m/s
It means,
600 mph = 268.22 m/s
Speed = distance/time
Distance, d = v t
d = 268.22 m/s × 0.5 s
d = 134.11 m
So, the distance moved by airplane is 134.11 m.
A stunt driver drives a car at 15 m/s off a cliff and into a lake. The surface of the water is 25 m below the cliff.
a) How long did it take to reach the water?
b) What was the horizontal distance from the cliff where the car entered the water?
c) At what velocity did the car hit the water?
Answer:
Explanation:
Given
initial velocity u = 15m/s
Height below the water = 25m
a) Using the equation of motion S = (v+u)/2 * t
25 = 0+15/2 * t
25 = 7.5t
t = 25/7.5
t = 3.33s
Hence it will take 3.33secs to reach the water
b) The horizontal distance is expressed as;
S = Uxt
S = 15(3.33)
S = 50m
Hence the horizontal distance from the cliff where the car entered the water is 50m
c) The velocity of the car v.
Using the equation of motion;
v² = u²+2gS
v² = 15²+2(9.8)(25)
v² = 225+490
v = √715
v = 26.74m/s
Hence the car hit the water at the velocity of 26.74m.s
A ball of 12 kg is attached to a string of 0.8 meter spun at 4
m/s. What is the centripetal force?
Answer:
240 N
Explanation:
The Centripetal force of the spun ball is 240 N.
The Centripetal force can be calculated using the formula below.
Formula:
F = mv²/r........................ Equation 1Where:
F = centripetal force m = mass of the ballr = radiusv = velocity.From the question,
Given:
m = 12 kgv = 4 m/sr = 0.8 mSubstitute these values into equation 1
F = 12(4²)/0.8F = 240 NHence, The Centripetal force of the spun ball is 240 N.
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what is the dimension of permeance
Answer:
metric dimensions, i think
Explanation:
PLEASE HELPPP Count the number of atoms of each element in this molecule: 2H2K(OH2)2
Answer:
H = 6 atoms
K= 2 atoms
O = 2 atoms
Answer:
H is 6 atoms K is2 atoms and O is 2 atoms
Explanation:
After soccer practice, Coach Miller goes to the roof of the school to retrieve the errant soccer balls. The height of the school is 3.5 m 3.5 m. He kicks a soccer ball which leaves the roof with a horizontal velocity, but no vertical velocity. Ignoring air resistance, which of the following values indicates how much horizontal velocity is needed for the ball to reach the soccer field located 22 m 22 m from the school?
To reach the soccer field located 22 m from the school, required horizontal velocity is 25.88 meter/second.
What is velocity?The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
The time of falling of the ball = √(2h/g)
= √( 2 × 3.5/9.8) second.
= 0.85 second.
hence, to reach the soccer field located 22 m from the school, required horizontal velocity = distance/time
= 22 meters/0.85 seconds
= 25.88 meter/second.
Hence, the required horizontal velocity is 25.88 meter/second.
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The suns in the binary star system would be very far away, how does this
impact the size they would be in the sky?
1) what is viscosity?
A crate is being pushed at a constant velocity. What force are being used?
Answer:
Constant Speed
Explanation:
Answer:
Friction, inertia and constant speed
Explanation:
The friction and inertia create an equilibrium
3 A ball is thrown haizonatally
oft a 7m building at omis
A man wants to catch the
ball in a basket 1sm of the
ground How ker away from the
building should he stand with
the basket
?
Answer:
Explanation:
very far look this up in the search the answer is there
A golf ball with a mass of 45 g is rolling down a hill. At the bottom of the hill, its speed is 6 m/s. What is its GPE?
Answer:
GPE = 0 (when the golf is downhill)
GPE = 0.81 [J](when the golf is at the highest point of the hill)
Explanation:
In order to solve this problem, we must use the principle of energy conservation, which tells us that energy is transformed from kinetic energy to potential energy or vice versa.
We must define a reference energy point, where at this point the potential energy is zero. Let's take this point at the bottom of the hill.
At this point where the potential energy is zero, all the potential energy will have been transformed into kinetic energy, at this point the velocity will be maximum.
[tex]E_k=E_p\\where:\\E_{p}=m*g*h\\E_{k}=\frac{1}{2} *m*v^{2}[/tex]
where:
m = mass = 45 [g] = 0.045 [kg]
g = gravity acceleration = 9.81 {m/s²]
h = elevation [m]
v = velocity = 6 [m/s]
[tex]E_{k}=\frac{1}{2}*0.045*(6)^{2} \\E_{k}=E_{p}=0.81 [J][/tex]
GPE = 0 (when the golf is downhill)
GPE = 0.81 [J](when the golf is at the highest point of the hill)
Which of the following is a force or motion that
is involved in the Moon orbiting Earth?
A. a force pulling the Moon toward the
center
B. a speed at right angles to the line from
the mass of the Moon to the center of
Earth
C. acceleration toward the center of Earth
D. all of the above
Answer: this answer is D. That's what I think it is
Explanation:
Find the direction of the sum of
these two vectors:
3.14 m,
30.0°
60.0°
2.71 m
The magnitude of the resultant vector is 4.14m and the direction is 50°.
What is the magnitude of the forces?The resultant magnitude of the vector is the sum of the algebraic forces acting at the point.
The magnitude of the resultant vector, F is calculated below:
[tex]F = \sqrt{3.14^{2} + 2.71^{2}} = 4.14m[/tex]
The direction is given below as follows:
[tex]x = tan^{-1} × \frac{3.14}{2.71} = 50[/tex]
Therefore, the magnitude of the resultant vector is 4.14m and the direction is 50°.
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A rural mail carrier leaves the post office and drives 22.0 km in a direction 35 degrees to the next town. She then drives in a direction 60.0 degrees for 47 km. What is her magnitude and displacement from the post office?
Answer:
D = 72.96 km, θ = 36.43º
Explanation:
This is a vector addition exercise, we are going to solve it by decomposing the displacements.
First displacement
cos 35 = x₁ / L
x₁ = L cos 35
cos 35 = y₁ / L
y₁ = L sin 35
x₁ = 22.0 cos 35 = 18.0 km
y₁ = 22 sin 35 = 12,619 km
Second displacement
cos 60 = x₂ / L
x₂ = L cos 60
x₂ = 47 cos 60 = 23.5 km
sin 60 = y₂ / L
y₂ = L sin 60
y₂ = 47 sin 60 = 40.70 m
In total displacement it is
x_total = x₁ + x₂
x_total = 18 + 40.7 = 58.7 km
y_total = y₁ + y₂
y_total = 12.629 +40.70
y_total = 53,329 km
Let's use the Pythagorean theorem
D = √(x_total² + y_total² )
D = √ (58.7² + 43,329²)
D = 72.96 km
For the direction we use trigonometry
tan θ = y_total / x_total
θ= tan-1 (43,329 / 58.7)
θ = 36.43º
Match the term with each description:
1. Acid
2. Alkaline
3. pH
4. Ion
Answer choices:
A.) An atom or molecule that has a positive or negative charge
B.) A value from 0 to 14 that is used to specify how acidic or basic a compound is when it is
C.) A compound that increases the hydroxide ions (OH-) when it is dissolved in a solution
D.) A compound that increases hydrogen ions (H+) when it is dissolved in a solution
Answer:
An acid is a compound that increases hydrogen ions (H+) when it is dissolved in a solution.
all I got