Consider the following system, where F = 120 N, m = 1 kg, and M = 5 kg. Force exerted by the lighter block on the heavier block is F_2=20N
What is the magnitude of the force?F = 120N
m = 1kg
M = 5kg
Generally, the equation for acceleration is mathematically given as
[tex]a=\frac{F}{m+M} \\\\a=\frac{120}{1+5} \\[/tex]
a=20m/s^2
Let's formulate the heavier block's equation of motion.
F_1=F-F_2
Ma=F-F_2
It is estimated that the lighter block will exert the following force on the heavier block:
[tex]&F_2=\mathrm{F}-\mathrm{Ma} \\&F_2=120-(5 *20) \\[/tex]
F_2=20N
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Calculate the current in the 3.0 Ω resistor in the figure above when the current in the 9.0 Ω resistor is 2.4A
The current in the 3.0 Ω resistor is mathematically given as
I_X=1.8A
This is further explained below.
What is current?The proportion of individual resistance to the overall resistance is the same as the current flowing through a branch to the current flowing through the whole system.
When the total current in a parallel circuit is already known, a shortcut approach for finding the branch currents in the circuit may be found via the use of a formula called the current divider formula.
In series circuits, the voltage drops across each resistor, but the current stays the same.
This is analogous to what happens in parallel circuits when the current splits between two branches.
The following diagram illustrates how the entire voltage is distributed across each resistor while maintaining the same amount of current throughout. Ohm's law states that V = I*R.
current dividers ruleis used when current is divided in parallel, such as it is in this case so we employ the current dividers rule as follows
Generally, the equation for current dividers rule is mathematically given as
[tex]I_X=\frac{R_T}{R_X+R_T} I_T[/tex]
where,
I_X = current
R_X = resistor
R_T = total resistance
I_T = sum of the current flowing into a network where R _X is connected in parallel with R_T
Therefore
[tex]I_X=\frac{9}{3+9} 2.4[/tex]
I_X=1.8A
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Result A 90 kg astronaut, initially at rest, throws a 5 kg oxygen tank at 1 m/s away from himself. What is the new speed and direction of the astronaut?
A 90 kg astronaut, initially at rest, throws a 5 kg oxygen tank at 1 m/s away from himself. The new speed for astronauts is 0.055 meters per second, and they will go in the opposite direction of the thing they are chasing.
This is further explained below.
What is the law of conservation of momentum?Generally, For this, use the law of conservation of momentum
Total final momentum = Total final momentum
P_{a i}+P_{0 i}=P_{a f}+P_{o f}
m_{a v_{a i}}+m_0 v_{o i}=m_{a v_{a f}}+m_0 v_af
0+0=90 v_{a f}+5 *1
90 v_{a f}=-5 a
[tex]v_{a f}=-\frac{5}{90} \mathrm{~m} / \mathrm{sec} \\\\v_{a f}=-0.055 \mathrm{~m} / \mathrm{sec}[/tex]
In conclusion, The new speed of astronauts is 0.055m/second and astronauts will move in the opposite direction of the object.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Match each picture with the correct type of substance.
Answer:
l-element. ll-mixture
lll-compound
Explanation:
element-2 or more substance make a element
mixture-2 or more substant is combined
compound-all the same and compact
a driver traveling at 72 km/h sees a chicken dash out onto the road and slams on the brakes. accelerating at -10 m/s2, the car stops just in time 35 m down the road. what was the driver's reaction time
The driver's reaction time during uniform motion is 1 second or 3 second.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 72 km/h = 20 m/s
vt = 0 m/s
a = -10 m/s²
sactual = 35 m
Find the instant distance without reacting
vt² = vo² + 2a . s
0² = 20² - 20s
s = 20 m
Find the reaction distance
sreact = sactual - s
sreact = 35 - 20
sreact = 15 m
Find the time reaction
sreact = vo . t + 1/2 . a . t²
15 = 20t - 5t²
t² - 4t +3 = 0
(t - 3)(t - 1) = 0
t = 3 s or t = 1 s
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a ball is shot from a cannon straight up into the air. when it falls back to earth, a radar gun measures its velocity to be 118 m/sec downwards as it reaches the same place from which it was fired. what was the velocity of the bullet when it left the gun?
The velocity of the bullet when it left the gun is 118 m/s.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vt = 118 m/s
g = 9.8 m/s²
Find the time taken to maximum height where the initial velocity is zero
vt = vo + at
118 = 0 + g . t
118 = 9.8.t
t = 12.04 s
Find the velocity of bullet when it left the gun
vt = vo - gt
0 = vo - 9.8 . 12.04
vo = 118 m/s
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a woodpecker’s brain is specially protected from large accelerations by tendon-like attachments inside the skull. while pecking on a tree, the woodpecker’s head comes to a stop from an initial velocity of 0.600 m/s in a distance of only 2.00 mm. (a) find the acceleration in meters per second squared and in multiples of g, where g
The acceleration in meters per second squared and in multiples of g is
a = 9.18 g.
Acceleration is the rate of change of velocity with respect to time.
"comes to a stop" means
final v = 0 m/s
⇒v=0m/s.
"from an initial velocity of"
u = 0.600 m/s
"in a distance of 2.00 mm"
x = 2.00 × (10)⁻³m
So, we need an equation that involves
a, v, u, and x,
the equation is —
v²=(u)²-2×a×s
0= (0.600)² – 2×a× 2.00 ×(10)⁻³
In solving this, we get a;
a=90 m/s² —> eq. 1
Now, find the acceleration in meters per second squared and in multiples of g.
And, we know that g=9.8 m/s²2. —> eq.2
Divide eq.1 by eq.2
We get,
= 9.18 ⇒ a = 9.18 g.
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What is the kinetic energy of a 24 kilogram rock rolling down a hill at a velocity of 2 meters persecond?
The mass of the rock is, m = 24 kg
The velocity of the rock is, v = 2 m/s
The kinetic energy of the rock can be given by the formula
[tex]K\mathrm{}E\mathrm{}=\frac{1}{2}mv^2[/tex]Substituting the values, the kinetic energy will be
[tex]\begin{gathered} K\mathrm{}E.=\frac{1}{2}\times24\times(2)^2 \\ =48\text{ J} \end{gathered}[/tex]What vocabulary words means an experiment is done without a variable
Answer:
Explanation:
The independent variable of an experiment is the part that the experimenter is changing and can control. The dependent variable is the part of the experiment that is affected by the change.
For example, with a plant, if you water a plant, that is an independent experiment, dependent on you actually watering the plant. The dependent variable is the plant's condition. It is dependent on being watered.
How does inertia of a car affect its speed?
Answer:W hen the car suddenly stops due to either braking or crashing, inertia will force the passengers or any other objects to keep moving forward. And since the force of inertia increases with the speed, the motion can varied from a light erk to a more serious crash.
Explanation:
The half-life of thorium-227 is 19 days. How many days are required for 75% of a sample to decay?
The amount of time needed for a radioactively decaying substance to drop to half its initial amount is known as the half-life. 75% of the sample of thorium-227 decays in 38 days.
What is half-life ?The half-life, in radioactivity, is the amount of time needed for half of the atomic nuclei in a radioactive sample to spontaneously transform into other nuclear species while emitting particles and energy, or, alternatively, the amount of time needed for the radioactive sample to disintegrate on average once every second.
Briefing:Calculate the number of half lives that must elapse to obtain amount needed. Let x the no. of half life that elapse
Amount of thorium-227 remaining =
Original amount of thorium 227*1/2 for each half-life
1/4 = 1*1/2x
x = 2
The no. of days are required by multiplying the half-life with the number of half-lives elapsed:
19/1 half-life*number of half-life = total days
19/1*2 = 38 days
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What is one way to describe elements?
Elements have atoms and protons which makes them the building blocks of matters.
What are elements?
The nature of elements make them impossible to broken down into simpler kinds of matter.
Elements can be grouped into:
Metals: example of this category of element includes lead, iron, and gold, they form positive ions.Nonmetals: examples include oxygen, nitrogen. These elements doesn't have the properties of metals.In summary, elements have atomic number, structures, densities, and unique properties.
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(c) The man lifts his suitcase.
The increase in gravitational potential energy of the suitcase is 264 J.
The mass of the suitcase is 12 kg.
Calculate the vertical height the suitcase is raised.
(gravitational field strength, g = 10 N/kg)
Use the equation:
change in
gravitational
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or
potential energy = mass x g x change in vertical height
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enqma bns elsluolso of beay ed nso ezerli word bns exist bluorie atnabuta arit atramenvasen terw ns19
12+10+
boritem emsa edt eau taum zaslo aloriw ariT
atripiew pniau boritem s 10 aqeta gniau bortiem & eau veriferijeriw ablaeb faum aslo od
22slo ertt ni inebuta rose to tugtuo 1ewoq eril etapilzevni etnobute to zaslo A
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(e)
(2)
height raised =
m
(Total for question = 4 marks)
Answer:
sleep well
bukas nalng yan kakapagod ehh
physics grade 11 experince physics book page 21 step by step explanation
answer:
explanation: I don't know the answer to be honest
If a metal box weighs 570 pounds on land, and it displaces 320 pounds of water, how much does it weigh underwater
If the metal box displaces water if 320 lbs, its weight in underwater is 250 lbs.
What is Archimedes principle?Archimedes principle states that when an object is totally or partially immersed in a fluid, it experiences un upthrust which is equal to the weight of the fluid displaced.
If the metal box displaces some volume of the water, it implies that the density of the metal box is greater than that of the water.
The weight of the metal box underwater is calculated as follows;
W = weight on land - weight of water displaced
W = 570 lbs - 320 lbs
W = 250 lbs
Thus, we can conclude that the weight of the metal box underwater is 250 lbs.
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If the velocity of a moving car increases from nine m/s to 25 m/s in the span of five seconds, what is the average acceleration during this time period?
Responses
7.2 m/s²
0.31 m/s²
3.2 m/s²
5 m/s²
a baseball player hits a baseball into the air with an initial vertical velocity of 65 feet per second. the player hits the ball from a height of 3 feet. after how many seconds will the ball hit the ground?
Answer:
Time to reach zero speed t1 = 65 ft/sec / 32 ft/sec^2 = 2.03 sec
H = 65 * 2.03 - 32/2 ^ 2.03^2 = 66 ft above launch point
h = distance ball falls = 66 + 3 = 69 ft
h = 1/2 g t2^2 time to fall 69 ft
t = (2 * 69 / 32)^1/2 = 2.08 sec
Total time = t1 + t2 = 2.03 + 2.08 = 4.11 sec
As ____ is added to the ice cube from a flame, the thermal ______ will change to ______ energy, which causes the ice molecules to move faster. The faster moving molecules will vibrate against each other.
What is the minimum wave amplitude amin such that the ant will become momentarily weightless at some point as the wave passes underneath it? assume that the mass of the ant is too small to have any effect on the wave propagation.
The minimum amplitude of the wave is equal to [tex]\frac{g \mu}{T_{\mathrm{s}}}\left(\frac{\lambda}{2 \pi}\right)^2[/tex]
What are the many kinds of wave propagation?A type of radio propagation known as a surface wave is known as ground wave propagation. Low and medium frequency versions of these waves travel across the surface of the earth. Mostly, these are employed for transmission between the earth's surface and the ionosphere. The quantity of individual waves makes up these.
The expression for the velocity of the wave is as follows:
[tex]v=\sqrt{\frac{T_s}{\mu}}[/tex]
Here,
Ts is the tension and
μ is the mass per unit length.
The expression for the wave vector is as follows:
[tex]k=\frac{2 \pi}{\lambda}[/tex]
λ is the wavelength of the wave.
The expression for the angular frequency is as follows:
ω = v k
Here, v is the velocity of the wave.
The expression for the minimum amplitude is as follows:
[tex]A=\frac{g}{\omega^2}[/tex]
Here, g is the acceleration due to gravity.
putting the values of v and k in w
[tex]\begin{aligned}&\omega=v k \\&\omega=\left(\sqrt{\frac{T_s}{\mu}}\right)\left(\frac{2 \pi}{\lambda}\right)\end{aligned}[/tex]
[tex]\begin{aligned}A=& \frac{g}{\omega^2} \\A=& \frac{g}{\left(\left(\sqrt{\frac{T_s}{\mu}}\right)\left(\frac{2 \pi}{\lambda}\right)\right)^2} \\&=\frac{g}{\frac{T_s}{\mu}\left(\frac{2 \pi}{\lambda}\right)^2} \\&=\frac{g \mu}{T_s}\left(\frac{\lambda}{2 \pi}\right)^2\end{aligned}[/tex]
The minimum amplitude of the wave is equal to [tex]\frac{g \mu}{T_{\mathrm{s}}}\left(\frac{\lambda}{2 \pi}\right)^2[/tex]
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The thermal energy transferred during a calorimetry experiment is equal to 32 J. This is equivalent to the work done by a 2-N force
A. acting over a distance of 16 m
B. acting over a distance of 64 m
C. acting for 16 s
D. acting on a 16-kg mass
A thermal energy of 32J is equivalent to the work done by a 2-N force acting over a distance of 16 m (option A).
What is work done?Work done is measure of energy expended in moving an object. It can be said that no work is done if the object does not move.
Work done can be calculated by multiplying the force by distance as follows:
Work done = force × distance
According to this question, the thermal energy transferred during a calorimetry experiment is equal to 32 J.
Since work done is force multiplied by distance, this suggests that a force of 2N will be acting over a distance of 16metres.
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Decide whether each statement is right or wrong.
Simple machines put out more
work than people put in.
All simple machines are designed
to multiply force
A machine with a mechanical
advantage greater than 1
multiplies force.
A machine with a mechanical
advantage less than 1
multiplies distance.
All the statements given about simple machine and mechanical advantage are right.
What is simple machine?
A simple machine is any device that makes work faster and easier. A simple machine can also be defined as any device that allows effort to be applied at one end to overcome load at another end.
Thus, simple machines put out more work than people put in. (true)
Simple machines are designed to reduce applied force on an object by multiplying the input force.
Mechanical advantage is a factor of the simple machine that multiplies force.
M.A = output force / input force
When a machine with a mechanical advantage greater than 1 it multiplies force.
Also, when a machine with a mechanical advantage less than 1 it multiplies distance.
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a worker drags a crate across a factory floor by pulling on a rope tied to the crate. the worker exerts a force of 450 n on the rope, which is inclined at 38° to the horizontal, and the floor exerts a horizontal force of 125 n that opposes the motion.
The magnitude of the acceleration when the crate's mass is 310 kg is 0.74 m/s² and the acceleration when the crate's weight is 310 N is 7.3 m/s².
What is acceleration?
The rate at which an item changes its velocity both in magnitude and direction is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.
Although the full specification of force,
[tex]F_{nett} = ma[/tex] where, m = mass, a = acceleration
This situation involves both x and y axes, only the x-application is needed to find what this particular problem asks for.
We note that acceleration in y axis is 0 so, we can denote acceleration in x axis simply as a. We choose +x to the right and +y up.
Let's calculate the x component of the force working on the crate:
[tex]F_x = F cos38^0[/tex]
putting values from question, we get
Fx = 355 N
and the resistive force have magnitude (f) = 125 N
(a) As per the Newton's second law
Fx - f = ma
355 - 125 = 310 a
(acceleration) a = 0.74 m/s²
(b) In this case, By the equation:
mass = weight/gravitational acceleration
we get mass(m') = 310/9.8 = 31.6 kg
Now, by Newton's second law
Fx - f = m' a
355 - 125 = 31.6 a
(acceleration) a = 7.3 m/s²
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Complete question
A worker drags a crate across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of magnitude 450 N on the rope, which is inclined at an upward angle 38° to the horizontal, and the floor exerts a horizontal force of magnitude 125 N that opposes the motion. Calculate the magnitude of the acceleration of the crate if (a) its mass is 310 kg and (b) its weight is 310 N.
PLS HELPP
Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after they’ve been touching for a while, and why.
The other pancakes are at various temperatures and Conduction refers to the mode of transfer of thermal energy that arise when the two bodies are in close contact.
Briefing:The other pancakes are presumably at different temperatures in this scenario. If this is the case, then due to the thermal energy transfer, the pancake with the highest temperature should be the warmest at the bottom. Conduction is the process through which thermal energy is transferred when two bodies are in close proximity to one another.
How is temperature measure?Thermometers are used to measure the air's temperature. Common thermometers have a glass rod inside of which is a very thin tube. A liquid is delivered to the tube from a reservoir, or "bulb," at the thermometer's base. Sometimes the liquid is reddish alcohol, and other times it is mercury.
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an eclipsing binary has been analyzed and it has been determined that the ratio of the mass of star a to the mass of star b is 6 and the total mass of the two stars is 26 solar masses. what are the masses of star a and star b?
If the ratio of the mass of star A to the mass of star B is 6 then, mass of star A is 22.3 solar masses and the mass of star B is 3.7 solar masses.
What is star?
The brilliant plasma spheroid that constitutes an astronomical object known as a star is held together by gravity. The star that is closest to Earth is the Sun. Even while other stars are also visible at night with the unaided eye, they appear as stationary points of light due to their immense distances from Earth.
A:B = 6:1
We can write it as
A/B = 6
A=6B
and we also given in the question as:
A+B = 26
putting the above value of A
6B+B = 26
B = 26/7
B = 3.7 solar masses
Subtracting it from total mass:
A = 26-B = 26-3.7
A = 22.3 solar masses
Therefore, mass of star A is 22.3 solar masses and mass of star B is 3.7 solar masses.
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What is the area of a box which weighs 95N exerting a pressure of 43Pa?
The area of the ball that weighs 95 N and exerting a pressure of 43 Pa is 1.51 m².
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the ball, we use the formula below.
Formula:
P = F/A.......... Equation 1Where
P = PressureF = Force/WeightA = AreaMake A the subject of the equation
A = F/P.......... Equation 2Froim the question,
Given:
F = 95 NP = 43 PaSubstitute these values into equation 2
A = 95/63A = 1.51 m²Hence, the area of the ball that weighs 95 N and exerting a pressure of 43 Pa is 1.51 m².
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The graph shows carrying capacity in two different areas for two populations of salmon
which statement below is most likely true about these areas
The statement that is most likely true about these area A is it has more food resources than area B.
In the given graph, it is clear that carrying capacity of area A is larger than that of area B. Larger the carrying capacity, larger will be its quantity of food resources.
Carrying capacity is the maximum population size that a habitat can support as per its available resources such as food, space etc. It can also be called as a species' average population size in a particular habitat.
The given question is incomplete. The complete question is in the link mentioned below.
Therefore, the statement that is most likely true about these area A is it has more food resources than area B.
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IT'S 30 POINTS!!!!!!!
1) What are the five different types of interactions between organisms?
2) What patterns do scientists observe between predator-prey relationships like the wolves and moose on Isle Royale?
3) Use the data from your graph to provide evidence for the effects of of resource availability on individuals and populations in an ecosystem.
4) Do the patterns of interactions between organisms, such as competition and predation, change when they occur in different ecosystems? Explain.
5) Predict the effects on a predator-prey relationship, such as the one between a frog and blue heron, in a wetland ecosystem in the midst of a drought.
Answer:
1. Competition and prediction
Commensalism
Parasitism
Mutualism
Amensalism
2. As the population of wolves has declined the population of the moose increase
3.
the winding cages in mine shafts are used to move workers in and out of the mines. these cages move much faster than any commercial elevators. in one south african mine, speeds of up to km/h are attained. the mine has a depth of m. suppose two cages start their downward journey at the same moment. the first cage quickly attains the maximum speed (an unrealistic situation), then proceeds to descend uniformly at that speed all the way to the bottom. the second cage starts at rest and then increases its speed with a constant acceleration of magnitude m/s2. how long will the trip take for each cage? which cage will reach the bottom of the mine shaft first?
Cage 2 will reach the bottom first. The time taken by cage one is 114.76 seconds and cage 2 is 0.32 seconds.
How to find which cage will reach first?
Given,
Mine depth Y = 2072 m
Cage speed 1 v = 65.0 km/h
Acceleration of Cage 2,
a = 4.00 102 m/s2
Solution:
We shall utilize the international system of measurements (SI) to interchange magnitudes using the unit system, which allows us to do so precisely and without the need for antiquities.
v = 65 km / h (1000m/1Km) (1hr/3600s)
= 18.06 m / s
The relationships between location, velocity, and acceleration can be discovered using kinematics.
Work each cage separately in this practice since there are two of them.
Cage 1
They suggest that it is moving at a constant speed, which we can determine using the laws of uniform motion.
v = d/t
v = d/v
t1 = 2072/18.06
t₁ = 114.76 s
Cage 2
Stop so that your starting velocity is zero.
y = v₀ t + ½ a t²
y = 0 + ½ a t²
[tex]t = \sqrt{2y/a} \\\\t2 = \sqrt{2*2072/4*10^{2} } \\[/tex]
t₂ = 0.32 s
On comparing the time taken by cage 1 and cage 2, we can say that cage 2 will reach the ground first.
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The average kinetic energy of an object is its _____.
A.temperature
B.potential energy
C.kinetic energy
D.thermal energy
Answer:
Answer is a
Explanation:
a 5.20-kg howler monkey is swinging due east on a vine. it overtakes and grabs onto a 6.20-kg monkey also moving east on a second vine. the first monkey is moving at 10.2 m/s at the instant it grabs the second, which is moving at 7.20 m/s.
The relative velocity of the two monkeys is 8.568m/s.it overtakes and grabs onto a 6.20-kg monkey also moving east on a second vine. the first monkey is moving at 10.2 m/s at the instant it grabs the second.
The relative velocity of an object to another item is its speed in respect to that object. It is a measurement of the relative speed of two moving objects. Because it clarifies how objects move and interact with one another, relative velocity is significant in physics.
Given;
mass of first monkey = 5.2 kg
mass of second monkey = 6.2 kg
speed of first monkey = 10.2 m/s
speed of second monkey = 7.20 m/s
by conservation of momentum
initial momentum = final momentum
5.2 * 10.2 + 6.2 * 7.2 = (5.2 + 6.2) * v
v = 8.568 m/s
their common speed = 8.568 m/s
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solve problem 9-33 (page 388) in hibbeler 8th edition. determine the slope and displacement at point b. ei is constant. use the method of virtual work. 15
The slope and displacement at point b. ei is constant. By using the method of virtual work we get Triangle B=6637.5 / EI.
The study of forces and movement in a mechanical system results in virtual work when the concept of least action is applied. A force's work on a particle as it moves along a displacement varies depending on the displacement. One will minimise the action among all virtual displacements, or potential displacements, that a particle might take. As a result, the particle follows this displacement in accordance with the principle of least action. The term "virtual work" refers to the labour performed by a force on a particle along a fictitious displacement.
virtual work and the associated calculus of variations were initially created to examine systems of rigid bodies, but they were later developed for the study of mechanics.
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