A cat, also of weight 52.0 n , falls asleep on top of block A. If block B is now set into downward motion, the magnitude and direction of the acceleration will depend on the mass of block B and the total force acting on it.
To determine the coefficient of kinetic friction between block A and the tabletop, we need to consider the forces acting on block A when block B is in downward motion and descending at a constant speed.
The forces acting on block A are its weight \(w_A\)and the frictional force \(f_k\) acting in the opposite direction of its motion.
Since block B is descending at a constant speed, the net force on it is zero. This means the force pulling block B downward (\(w_B\)) is balanced by the frictional force \(f_k\) acting in the upward direction.
Now, let's analyze the forces acting on block A:
1. Weight of block A (\(w_A\)) acts vertically downward.
2. Normal force (N) from the tabletop acts vertically upward, balancing \(w_A\).
3. Frictional force (\(f_k\)) acts horizontally opposite to the direction of motion.
Since block B is moving at a constant speed, we know that the magnitude of the frictional force (\(f_k\)) is equal to the magnitude of the applied force (\(w_B\)). Therefore, we have:
\(f_k\) = \(w_B\)
To calculate the coefficient of kinetic friction (μ_k), we can use the equation:
\(f_k\)= * N
Since N is equal to w_A (they balance each other), we have:
\(w_B\)= μ_k * w_A
Simplifying, we find:
μ_k = \(w_B\)/ \(w_A\)
Now, let's move on to part b) of the question.
When the cat of weight w_A falls asleep on top of block A, the forces acting on block A will change. The weight of the cat adds an additional downward force on block A.
The forces acting on block A are now:
1. Weight of block A (\(w_A\)) + weight of the cat (\(w_A\)) acting vertically downward.
2. Normal force (N) from the tabletop acting vertically upward, balancing the total weight of block A and the cat.
3. Frictional force (\(f_k\)) acting horizontally opposite to the direction of motion.
The frictional force (\(f_k\)) will remain the same as calculated in part a), as it depends on the coefficient of kinetic friction between block A and the tabletop. However, the total weight acting on block A will be the sum of \(w_A\)and \(w_A\) (weight of the cat), resulting in a larger net downward force.
As a result, the acceleration of block B, when set into downward motion, will increase. The magnitude and direction of the acceleration will depend on the mass of block B and the total force acting on it (considering the frictional force and the increased weight of block A and the cat).
To determine the exact acceleration, we would need additional information such as the masses of block B, block A, and the cat, as well as the coefficient of kinetic friction.
Learn more about coefficient of kinetic friction here:
https://brainly.com/question/19392943
#SPJ11
suppose it takes 10 newtons of force to hold a spring stretched 1/2 m from its equilibrium position. determine the work required to compress the spring and additional 1/2 m
The work required to compress the spring an additional 1/2 m is also 10 joules. This is because the work done on the spring is equal to the potential energy stored in it.
When a spring is compressed or stretched, it stores potential energy. The amount of potential energy stored is proportional to the amount of deformation and the spring constant. The work required to compress or stretch the spring is equal to the potential energy stored in it. In this case, since it takes 10 newtons of force to hold the spring stretched 1/2 m from its equilibrium position, the potential energy stored in the spring is 10 joules. If the spring is compressed an additional 1/2 m, the work required is also 10 joules because the potential energy stored in the spring is still the same. This relationship between work and potential energy is a fundamental concept in the study of mechanics.
learn more about equilibrium position here:
https://brainly.com/question/14702371
#SPJ4
After the big bang occurred, the universe
a. shrank in size.
b. became denser.
c. became hotter.
d. began to cool.
I
It should be noted that after the big bang occurred, the universe "Became Denser" (Option B)
What is the explanation for this?According to the Big Bang Theory, after the explosion which triggered the transformation of radiation into matter, gravity pulled dark matter together which in turn attracted normal matter.
Hence, it is right given the above analogy that the Universe became denser.
It should be mentioned that the big-bang hypothesis is a widely accepted account of the universe's evolution. Its defining characteristic is the universe's birth from a condition of great heat and density—the so-called big bang, which occurred 13.8 billion years ago.
Learn more about the Big Bang Theory:
https://brainly.com/question/24453703
#SPJ1
What information could you gather about a star if its light curve had multiple
symmetrical depths of varying sizes?
Answer:
When studying a light curve we can use that information to figure out what kind of object it is. By measuring the dip in brightness and knowing the size of the star, scientists can determine the size or radius of the planet.
Explanation:
The information that could be gathered about a star whose light curve has multiple symmetrical depths is ; The shape and surface variegation of the star
The light curves of a KBO ( moons and stars ) are measured as a rate of the brightness of a star in relation to time. therefore the study of the light curve having multiple symmetrical depths ( depth of brightness ) will give an information about the shape/size and the surface variegation of the star
Hence we can conclude that The information that could be gathered about a star whose light curve has multiple symmetrical depths is ; The shape and surface variegation of the star
Learn more : https://brainly.com/question/19573734
The velocity – time graph of an object moving along a straight line is shown in
fig. Find (a) the distance covered and (b) the displacement of the object in time
interval between t = 0 s and t = 10 s
(a) The distance travelled by the object is 100 m.
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is 60 m.
What is the distance covered by the object?(a) The distance travelled by the object is calculated from the total area of the curve.
total distance = area of triangle 1 + area of triangle 2 + area of rectangle.
total distance = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
total distance = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) 20) + (10 - 0)(10 - 8)
total distance = 60 m + 20 m + 20 m
total distance = 100 m
(b) The displacement of the object in time interval between t = 0 s and t = 10 s is calculated as follows;
displacement = final position - initial position
displacement = (¹/₂ x base x height)₁ + (¹/₂ x base x height)₂ + length x width
displacement = (¹/₂ x 6 s x 20 m/s) + (¹/₂ (8 - 6) (-20)) + (10 - 0)(10 - 8)
displacement = 60 m - 20 m + 20 m = 60 m
Learn more about displacement here: https://brainly.com/question/2109763
#SPJ1
Define the types of friction and give FOUR examples of each
Static Friction
Rolling Friction
Sliding Friction
Fluid Friction
Magnesium hydroxide is used in?
soap
batteries
antacids
detergents
Answer:
Antacids.
Explanation:
Magnesium hydroxide is commonly used for sicknesses and etc.
What are forces? (Check all that apply)
-Push or pull
-An action that has the ability to change potion
-Actions that can increase or decrease the speed of a moving object
-Actions that can change the direction in which an object is moving
-Gravity
-Electromagnetic
-Strong Nuclear Force
-Weak Force
-Matter
Answer:
Push or Pull
Gravity
Strong Nuclear Force
Weak Force
Explanation:
El monoxido de carbono reacciona con el hidrogeno gaseoso para producir metanol (ch3oh) calcule el reactivo limite y el reactivo en exceso si la reaccion inicia con 2,0 g de cada reactivo calcule cuantos gramos de metanol se obtiene
Answer:
Se obtienen 2,27 gramos de metanol.
Explanation:
La reacción entre monóxido de carbono e hidrógeno para producir metanol es la siguiente:
CO + 2H₂ → CH₃OH
Para encontrar el reactivo limitante y el reactivo en exceso, debemos calcular el número de moles de CO y H₂:
\(\eta_{CO} = \frac{m}{M} \)
En donde:
m: es la masa
M: es el peso molecular
\(\eta_{CO} = \frac{m}{M_{CO}} = \frac{2,0 g}{28,01 g/mol} = 0,071 moles \)
\(\eta_{H_{2}} = \frac{2,0 g}{2,02 g/mol} = 0,99 moles \)
Dado que la relación estequiométrica entre CO y H₂ es 1:2, el número de moles de hidrógeno gaseoso que reaccionan con el monóxido de carbono es:
\( \eta_{H_{2}} = \frac{2}{1}*0,071 = 0,142 moles \)
Entonces, se necesitan 0,142 moles de H₂ para reaccionar con 0,071 moles de CO y debido a que se tienen más moles de H₂ (0,99 moles) entonces el reactivo limitante es CO y el reactivo en exceso es H₂.
Ahora podemos encontar la masa de metanol obtenida usando el reactivo limitante (CO) y sabiendo que la realcion estequiométrica entre CO y CH₃OH es 1:1.
\( \eta_{CH_{3}OH} = \eta_{CO} = 0,071 moles \)
\( m = 0,071 moles*32,04 g/mol = 2,27 g \)
Por lo tanto, se obtienen 2,27 gramos de metanol.
Espero que te sea de utilidad!
A plate moves 200 m in 10,000 years. What is its rat in cm/year
Answer:
2cm/year
Explanation:
20000/10000=2cm/year
you need to convert lbs to a unit of force in si units. complete the following equivalency 1 lb =
10 pounds of weight is equivalent to 44.48 newtons of force.
The pound (lb) is a unit of mass commonly used in the United States and a few other countries. However, in the International System of Units (SI), the unit of force is the newton (N). Therefore, to convert pounds to newtons, we need to use the following equivalency:
1 lb = 4.448 N
This means that 1 pound is equal to 4.448 newtons of force. To convert a weight in pounds to a force in newtons, we can simply multiply the weight by 4.448. For example, if we have a weight of 10 pounds, we can convert it to newtons as follows:
10 lb x 4.448 N/lb = 44.48 N
Therefore, 10 pounds of weight is equivalent to 44.48 newtons of force.
To know more about newtons visit:-
https://brainly.com/question/3273157
#SPJ11
___ electrification occurs any time two objects with different levels of charge make physical contact.
Contact electrification occurs any time two objects with different levels of charge make physical contact.
Contact electrification is a word that describes a phenomenon wherein surfaces end up electrically charged, thru a number of viable mechanisms, while or greater objects come within near proximity of one another.
Static electricity is created while effective and bad costs aren't balanced. Protons and neutrons do not circulate around tons, however electrons love to jump all around the place. Whilst an item has greater electrons, it has a poor price.
Static electricity is an imbalance of electrical costs with in or at the surface of a material. The rate stays till it could pass away by an electric powered current or electric discharge.
Learn more about Static electricity here:- https://brainly.com/question/4918499
#SPJ4
Which statement best describes the relationship between velocity and acceleration?
Choose the correct answer.
O Velocity is the rate of change in acceleration,
O Acceleration is the rate of change in velocity
O Velocity and acceleration are not related to each other.
O Acceleration can only be a positive value regardless of the velocity.
Acceleration is actually defined as the rate of change in velocity. The correct option is B.
What are acceleration and velocity?Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity and to represent its direction is also required with the magnitude. The unit of the measurement of the velocity is meter per second or miles per hour etc.
Acceleration is actually defined as the rate of change in velocity. In other words, it can be defined as the change in the velocity with the change in time of the object. Acceleration is also a vector quantity and requires direction and magnitude to represent it. The unit of measurement of the acceleration is a meter per second square.
Therefore, acceleration is actually defined as the rate of change in velocity. The correct option is B.
To know more about acceleration and velocity follow
https://brainly.com/question/742413
#SPJ2
you have been hired to design a spring-launched roller coaster that will carry two passengers per car. the car goes up a 10-m -high hill, then descends 15 m to the track's lowest point. you've determined that the spring can be compressed a maximum of 2.2 m and that a loaded car will have a maximum mass of 440 kg . for safety reasons, the spring constant should be 11 % larger than the minimum needed for the car to just make it over the top.
In order to design a spring-launched roller coaster that will carry two passengers per car, a spring constant of approximately 4255.78 N/m is needed for the roller coaster to be safe.
Several factors must be taken into consideration. The car must go up a 10-m-high hill and then descend 15 m to the track's lowest point. The maximum amount the spring can be compressed is 2.2 m, and a loaded car will have a maximum mass of 440 kg. Additionally, for safety reasons, the spring constant should be 11% larger than the minimum needed for the car to just make it over the top.
To determine the spring constant needed for the roller coaster, we can use the following formula:
U = (1/2)kx²where U is the potential energy of the spring, k is the spring constant, and x is the distance the spring is compressed. To find the minimum spring constant needed for the car to just make it over the top of the hill, we can set the potential energy of the spring equal to the potential energy of the car at the top of the hill:
U = mgh, where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill.
U = (1/2)kx²mgh
= (1/2)kx²k = 2mgh/x²
Plugging in the given values, we get: k = 2(440 kg)(9.81 m/s²)(10 m)/(2.2 m)²k ≈ 3831.64 N/m. To find the spring constant needed for safety reasons, we can multiply the minimum spring constant by 1.11:k' = 1.11k' ≈ 4255.78 N/m
To know more about roller coaster, refer here:
https://brainly.com/question/15908029#
#SPJ11
WILL MARK BRAINLIEST
Answer:
152,155 J
Explanation:
115,333 + 36,822 = 152,155J
if a tuning fork vibrates 480 times in one second what would be its natural frequency
Natural frequency is the count of the number of oscillations in one second.
It is 480Hz.
A wave has a wavelength of 4.9 m and a velocity of 9.8 m/s. The medium through which this wave is traveling is then heated so that the velocity is doubled. If the frequency remains constant, what is the wavelength of the heated wave? 2.5 m 9.8 m 14.7 m 19.6 m
Answer:
the wavelength is 9.8 meters
Explanation:
We can use the relationship:
Velocity = wavelenght*frequency.
Initially we have:
wavelenght = 4.9m
velocity = 9.8m/s
then:
9.8m/s = 4.9m*f
f = 9.8m/s/4.9m = 2*1/s
now, if the velocity is doubled and the frequency remains the same, we have:
2*9.8m/s = wavelenght*2*1/s
wavelenght = (2*9.8m/s)*(1/2)s = 9.8 m
Answer:
9.8
Explanation:
Carrie is pushing a 39.8 kg shopping cart at a speed of 0.744 m/s. If she applies a force of 6.59 N, for a period of 2.05 seconds, what will be the speed of the shopping cart after this force is applied?
By applying a force of 6.59-N to a 39.8-kg shopping cart, Carrie accelerates the cart with magnitude a such that
6.59 N = (39.8 kg) a
⇒ a ≈ 0.166 m/s²
so that over a period of 2.05 seconds, the cart's speed increases to
0.744 m/s + a (2.05 s) ≈ 1.08 m/s
Or, if you've been introduced to the concept of momentum and impulse, we get the shopping cart's initial momentum,
p₁ = (39.8 kg) (0.744 m/s) ≈ 29.6 kg•m/s
and its final momentum when it attains speed v,
p₂ = (39.8 kg) v
Then the change in momentum of the cart is
∆p = p₂ - p₁ = (39.8 kg) (v - 0.744 m/s)
and this is equal to the impulse J due to the force Carrie applies,
J = F ∆t = (6.59 N) (2.05 s) ≈ 13.5 kg•m/s
Solve for v :
J = ∆p
⇒ 13.5 kg•m/s ≈ (39.8 kg) (v - 0.744 m/s)
⇒ v ≈ 1.08 m/s
waves on a swimming pool propagate at 0.740 m/s. you splash the water at one end of the pool and observe the wave go to the opposite end, reflect, and return in 28.0 s. how far away is the other end of the pool? m
The other end of the pool is 10.36 m far away from the end of the pool observed. The result is obtained by using the formula for the speed.
What is speed?Speed is the rate of change in position of an object without considering the direction. It is a scalar quantity that measures the distance travelled per unit of time. It can be expressed as
s = d/t
Where
s = speedd = distance travelledt = time elapsedWaves on a swimming pool propagate at s = 0.740 m/s. The waves go to the opposite end, reflect and return in t = 28.0 s.
Find the distance of the end to the other end of the pool!
The waves go and return. It makes the waves reach 2 times the distance, 2d. In the speed formula, the distance will be
s = 2d/t
0.740 = 2d/(28.0)
2d = 0.740(28.0)
d = 20.72/2
d = 10.36 m
Hence, the distance of the end to the other end of the pool is 10.36 m.
Learn more about speed here:
brainly.com/question/30390981
#SPJ4
25)Two forces are acting on a block in opposite directions as shown in the figure above
(a) Calculate the net force acting on the block.
(b) In which direction will the net force tend to move the object?
(c) Will any other force try to oppose the motion of the block?
\(\boxed{ \sf{Answer}} \)
____________________
(a) A = 5 kgwt
B = 10 N
First convert 5 kgwt to N,
\(5 \times 9.8 \\ = 49 \: N\)
Net force [the forces are acting in 2 opposite directions]
\(A - B \: \\ = 49 - 10 \\ = 39 \: N\)
____________________
(b) Since, the force is greater by A ↦the block will move towards B, i.e, to the right.
____________________
(c) Frictional force will try to oppose the motion of the block but since A has greater force than B, the frictional force will be resisted.
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
. a boat floating in fresh water displaces 16,000 n of water. how many newtons of saltwater would it displace if it floats in saltwater of specific gravity 1.17
13954 Newtons of the saltwater will be displaced by the boat if it float on the saltwater.
The boat floating in the fresh water displaces 16000N.
We know, the weight of the liquid displaced by the boat is equal to the buoyancy of the boat.
So,
B = 16000N.
When the boat is put into the saltwater, its buoyancy will be,
B = Vpg
Where,
V is the volume of the saltwater displaced,
p is the density of the saltwater,
g is the acceleration due to gravity.
Putting values,
16000 = V(1.17)(9.8)
V = 1395.4 m³.
The weight of the saltwater will be,
Weight = 1395.4 x 10
Weight of the water displaced 13954 Newtons.
To know more about Buoyancy, visit,
https://brainly.com/question/12788506
#SPJ4
A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area (Fig. P20.49). One end of the compound bar is maintained at 80.0°C , and the opposite end is at 30.0°C . When the energy transfer reaches steady state, what is the temperature at the junction?
A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area the temperature at the junction is 51.2 degree Celsius. The correct option is C.
Here, it is given that:
One end at 80 degree Celsius.Other is at 30 degree Celsius.Thermal conductivity of Ag = 430Thermal conductivity of Au = 310Let us assume that temperature of junction = T
So,
The temperature difference over Au = 80 - T
The temperature difference over Ag = T - 30
(80 - T) x \(K_{Au\) = (T - 30) \(K_{Ag\)
\(\dfrac{(80-T)}{(T-30)} = \dfrac{K_{Ag}}{K_{Au}}\)
\(=\dfrac{430}{310}\)
\(\dfrac{(80-T)}{(T-30)} = 1.39\)
So,
80 - T = 1.39T - 41.7
Solving this,
T = 50.92°C
Thus, the temperature at the junction is 51.2°C. The correct option is C.
For more details regarding thermal conductivity, visit:
https://brainly.com/question/14553214
#SPJ12
Your question seems incomplete, the probable complete question is:
A bar of gold (Au) is in thermal contact with a bar of silver (Ag) of the same length and area (Fig. P20.49). One end of the compound bar is maintained at 80.0°C , and the opposite end is at 30.0°C . When the energy transfer reaches steady state, what is the temperature at the junction?
A. 90.7
B. 20.2
C. 51.2
D. 30.5
E. 100.2
A student in New York State looked toward the eastern horizon to observe sunrise at three different times during the year. The student drew the following diagram that shows the positions of sunrise, A, B, and C, during this one-year period.http://www.syvum.com/cgi/online/serve.cgi/u/www/exam/regents/earth_science/earth_science_june_2007_images/img047_q_26.gif
Which list correctly pairs the location of sunrise to the time of the year?
Sunrise at A occurs during the winter solstice, sunrise at B occurs during the vernal equinox, and sunrise at C occurs during the summer solstice.
The eastern horizon is where the sun rises, and the position of sunrise changes throughout the year due to the tilt of the Earth's axis.
In this case, the diagram shows three different positions of sunrise, A, B, and C.
Here's the correct pairing of the location of sunrise to the time of the year:
A - Winter Solstice (December)
B - Equinoxes (March and September)
C - Summer Solstice (June)
During the Winter Solstice (A), the sun rises at its southernmost point on the horizon. During the Equinoxes (B), the sun rises due east, and during the Summer Solstice (C), the sun rises at its northernmost point on the horizon.
To know more about horizon Visit:
https://brainly.com/question/2515106
#SPJ11
Pre-Test Active
TIME REMAINING
56:40
2
3
5
6
7
8
9
10
Which arrow represents the change of state described
above?
The diagram shows changes of state between solid,
liquid, and gas. The atoms of a substance lose energy
during a change of state. Before the change, the atoms
are close together but are able to slide past one
another.
M
N
P
gas
Q
S
lid
P
ZO
liquid
n is the answer I guess
not so sure
Что сделать чтоб предмет облодал магнитными свойствами?
A crane lift a pallet of brick to the top of a 80 m building, requiring 400 kJ of energy. What wa the ma of the pallet?
A crane lift a pallet of brick to the top of a 80 m building, requiring 400 kJ of energy, Therefore, the mass of the pallet is 502 kg.
What is the mass ?Mass is a measure of the amount of matter in an object. It is usually expressed in kilograms (kg) or grams (g). Mass is an important physical property because it is related to a number of other physical properties, such as inertia, gravitational force, and momentum. In order for an object to have mass, it must have a certain amount of matter. Mass is distinct from weight, which is a measure of the force of gravity on an object.
The mass of the pallet can be calculated using the formula:
Mass (m) = Energy (E) / Work (W)
Where Work is calculated as:
Work (W) = Force (F) x Distance (d)
The force required to lift the pallet can be calculated from the height of the building:
Force (F) = Mass (m) x Acceleration due to Gravity (g)
Therefore, the mass of the pallet is:
m = E / (m x g x d)
m = 400 kJ / (9.81 m/s2 x 80 m)
m = 502 kg
Therefore, the mass of the pallet is 502 kg.
To learn more about mass
https://brainly.com/question/19385703
#SPJ4
1) Li + ČI>LICI
How many atoms are in this?
Answer:
2 atoms
Explanation:
Explain why white light splits up into the different colours when it goes through a prism
Answer:
Light splits up into different colors because of the electromagnetic spectrum which makes the light bend, wavelength, and it makes different colors by it :3
Explanation:
:3
When converting the concentration what is the appropriate number of significant figures? 1 significant figure 3 significant figures 4 significant figures 2 significant figures
None of the given options are correct. When converting concentration, the appropriate number of significant figures depends on the precision of the original measurement and the least precise value involved in the conversion. Here's a general guideline:
1. Determine the least precise value involved in the conversion. This is usually the value with the fewest significant figures. 2. The result of the conversion should have the same number of significant figures as the least precise value.
For example, let's say you have a concentration measurement of 3.42 mol/L and you want to convert it to millimoles per liter (mmol/L). The conversion factor is 1 mol = 1000 mmol.
Since the original concentration measurement has three significant figures (3.42), the result of the conversion should also have three significant figures. Therefore, the appropriate number of significant figures in this case is 3.
In general, when converting concentrations, it's important to maintain the appropriate number of significant figures to avoid introducing unnecessary precision or inaccuracies into the final result.
To know more about Significant figures visit-
brainly.com/question/14804345
#SPJ11
The movement of a wave cannot be detected using scientific instruments.TrueFalse
The movement of wave can be detected using scientific instruments.
One such example is Seismometer.
Thus, the statement is false.
please please help
The law of conservation of charge states that the total charge remains the same after a transfer of electrons.
true or false
Answer:
true
Explanation:
The law of conservation of charge states that whenever electrons are transferred between objects, the total charge remains the same.