The acceleration of the falling obeject of mass 2.55 kg is -8.2 m/s². And the right option is d) -8.2 m/s².
What is acceleration?This can be defined as the rate of change of velocity.
To calculate the acceleration of the object, we use the formula below.
Formula:
a = (R-mg)/m............. Equation 1Where:
a = Acceleration of the objectm = Mass of the objectR = Air resistanceg = Acceleration due to gravity.Note: Taking forces acting upward to be positve and downward force to be negatove,
From the question,
Given:
R = 4 Nm = 2.55 kgg = 9.8 m/s²Substitute these values into equation 2
a = [4-(2.55×9.8)]/2.55a = -20.99/2.55a = -8.2 m/s²Hence, The acceleration of the object is -8.2 m/s².
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A 50.0-kilogram cheetah has a kinetic energy of 18000J How fast is the cheetah running ? ( Hint : Rearrange the equation to solve for v .)
I found that people say it’s 36 but there is no explanation for it
Answer:
Explanation:
here take kinetic energy =1/2×m×v²
m=50.0-kilogram (given)
kinetic energy=18000J (given)
now by taking the given values we get v²=(2×18000)/50
⇒v²=720
⇒v=26.8328m/s
done!
In what way can time be called the fourth dimension? How does it differ from the other three?
Imagine that you are experimenting with two carts on an air track. Both carts have the same mass. You set cart A at rest on the track and slide cart B towards it with speed ( v ). Choose a possible outcome of the collision
a) Cart A moving forward with speed v/2, cart B moving backwards with speed (v).
b) Cart A at rest, cart B moving backwards with speed (v).
c) Cart A moving forwards with speed 2v, cart B moving forwards with speed (v).
d) Cart A moving forwards with speed (v), cart B at rest.
The possible outcome of the collision would be Cart A moving forwards with speed (v), cart B at rest. That is option D.
What is speed?Speed is defined as the quality of movement of an object with respect to time without the consideration of the direction of its movement.
From the question, the experiment contains two carts, A and B. Cart B is moving with the speed of v towards cart A.
Since the both cart bears the same mass, the speed of cart B would reduce while causing the movement of cart A.
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A 10Kg cannon shoots a cannon ball of mass 1kg that accelerates 20m/s2.
1) What is the force on the ball
2) What is the acceleration of the cannon?
1) The force on the ball is 20 N
2) The acceleration of the cannon is 2m/s2.
State Newton's 2nd law of motion
Newton's second law of motion, which is what we utilize, asserts that,
F= m x a
where:
F is the total force in newton.
m is the object's mass in kilograms.
In meters per second squared, a represents the object's acceleration.
1) Using this we find the force on the ball,
F = m x a
= 1 x 20
= 20 N
2) Newton's law states that every actoin has an equal and opposie reaction. Thus the force on the cannon, Fc will be equal to the force acting on the ball, Fb while it was shooted.
As such we can find the acceleration of the cannon using the equation:
Fc = Fb
m1 x a1 = m2 x a2
10 x a = 1 x 20
a = 20/10
a = 2 m/s2
Hence,
1) The force on the ball is 20 N
2) The acceleration of the cannon is 2m/s2.
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A ball at the end of a string of length 2m rotates at a constant speed in a horizontal circle. It makes 7 rev/s.
What is the period of the ball’s motion? Answer in units of s.
The period of the ball's motion is 0.142 s and the frequency of the motion is 7 Hz.
What is the period of the ball's motion?The period of the ball's motion is calculated by applying the following kinematic equation as shown below.
v = 2πr/T
ωr = 2πr/T
ω = 2π/T
T = 2π/ω
where;
T is the period of the ball's motionω is the angular speed of the ballThe angular speed of the ball = 7 rev/s = 7 rev/s x 2π rad/rev = 14π rad/s
T = 2π/14π
T = 1/7 s = 0.142 s
The frequency of the ball's motion is the inverse of the period of the motion and can be calculated as follows;
f = 1/T
f = (1) / (1/7) = 7 Hz
Thus, the period of the ball's motion is determined from the angular speed of the ball while the frequency of the ball's motion is the reciprocal of the period of the motion.
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A student notices that he does better on tests if he sleeps for at least 8 hours. He decides that for the next 3 tests he has in science class, he will sleep different amounts of times and see how he does on his tests. For his next science test, he sleeps only 4 hours the night before, 6 hours before the next test, and 8 hours before the final exam. The chart shows his data. grade Test 1 2 3 Hours of Sleep 4 6 8 Grade 56 75 80 What is the dependent variable?
The dependent variable in the experiment in which a student sleeps different intervals of time to get different grades is the grade
In this experiment,
Independent variable = Hours of sleepDependent variable = GradesControl variable = The studentAn independent variable is the variable that can be altered by the researcher to get different results. The dependent variable is the variable that gets altered due to the change in independent variable.
Therefore, the dependent variable is the Grades
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If 30% of the nitrogen atoms have a mass of 15amu and 70% of the nitrogen atom isotopes have an atomic mass of 14 amu. What is the average mass?
The average mass of nitrogen isotopes is 14.3 amu.
What is average mass?By adding the relative average atomic masses of each atom in the system, the mass of an ion or molecule is computed and weighted for its isotopic composition. Hydrogen, for instance, has an average atomic mass of 1.00797 Da, while carbon's is 12.01115 Da.
Given parameter:
30% of the nitrogen atoms have a mass = 15amu.
70% of the nitrogen atom isotopes have an atomic mass = 14 amu.
So, average mass of nitrogen = 15 amu × 30% + 14 amu × 70%
= 14.3 amu.
Hence, the average mass of the nitrogen is 14.3 amu.
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In Graph C above, which line(s) shows an object that has a constant
velocity?
Answer:
it's D that has a constant velocity
Charlie flew from phoenix to Tucson, a distance of 120 miles. the trip there took one hour. he then returned back to Phoenix in 2 hours. what was his total distance for the entire trip?
0 miles
120 miles
240 miles
360 miles
A feather is dropped onto the surface of the moon. How far will the feather have fallen if it reaches the surface in 9.00 seconds? Given: g on moon = -1.63 meters/second2
[tex]66.015 \mathrm{~m}[/tex] will the feather have fallen if it reaches the surface in 9.00 seconds.
Given:
[tex]$$\begin{aligned}&t=9 \mathrm{~s} \\&a=1.63 \mathrm{~m} / \mathrm{s}^2\end{aligned}$$[/tex]
The distance traveled by the feather onto the surface of the moon can be computed using the following equation:
[tex]d=\frac{1}{2} a t^2=(0.5)\left(1.63 \mathrm{~m} / \mathrm{s}^2\right)(9 \mathrm{~s})^2=66.015 \mathrm{~m}$$[/tex]
Kinematics in classical mechanics explains the motion of a specific item in a system. We're looking at the motion of a feather on the moon's surface.
Kinematics is the study of mechanical points, bodies, and systems in their motion without regard for their related physical qualities or the forces acting on them. The discipline is known as geometry of motion, and it mathematically describes these motions using algebra.
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Which of the following is not one of the rules that must be followed regarding animal research? A. Animal research must have a clear scientific purpose. B. Animal research can acquire its animals illegally. C. Animal research must provide humane care and housing. D. Animal research must ensure the least amount of suffering possible. Please select the best answer from the choices provided A B C D
On research on animals they must given proper care and housing. And the purpose of the research must have a scientific reason. Thus option B is correct.
What is animal research?Animal research includes various scientific investigation on animals such as testing various doses of some drugs, effect of various chemicals, level of toxicity of some compounds etc.
According to the research ethics, no animals can be used to conduct any unscientific works. There must be a scientific purpose which is very important to conduct any animal research.
If any animals irrespective of its nature,it must be provided proper care, food and housing. No harmful things must be there which make them more suffering. Hence, option B is correct.
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What happens to Fg if both masses double
A. Reduced by 1/2
B. increases by 2
C. Reduces by 1/4
D. Increases by 4
If both masses double, FG increases by 4.
What is Gravitational Force?
Gravity is a fundamental interaction that all objects with mass or energy experience due to its Latin root, gravitas, meaning "weight". Approximately 1038 times weaker than that of the strong interaction, 1036 times weaker than that of the electromagnetic force, and 10^29 times weaker than the weak interaction, gravity is by far the weakest of the four fundamental interactions. The level of subatomic particles is therefore unaffected by it significantly. The motion of planets, stars, galaxies, or even light is controlled by gravity, which is the most important interaction between objects just at macroscopic level.
What happens to Fg if both masses double?
The gravitational force increases by 4, when both the masses double.
F = Gm1m2/r2
If both masses double, then
m1 = 2m1 , m2 = 2m2
F = G(2m12m2)/r2 ⟹
F = 4F
Thus gravitational force becomes 4 times.
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Which one of the following is true of centrifugal force?
Centrifugal force is a fictional force.
Centrifugal force is a real force.
Centrifugal force pulls in a circular motion.
Centrifugal force causes objects moving in a circular path to move in.
Answer:
a is answer
Explanation:
centrifugal force, a fictitious force, peculiar to a particle moving on a circular path, that has the same magnitude and dimensions as the force that keeps the particle on its circular path (the centripetal force) but points in the opposite direction.
A turtle with a mass of 28.59 kg starts from rest and is pushed to the right on an ice rink upside down on its shell (he loves it I promise). He reaches the opposite end and ends up travelling at 5.18 m/s which takes 37.80 s. What would be the net force acting on the turtle?
The net force acting on the turtle would be 3.92N.
What is net force?
This is referred to as the total forces acting on an object.
Formula for calculating force on a body:
F= mv/t...........(i)
Formula for calculating net force:
Fnet= F₁ +F₂ +F₃ +F......FN ............(ii)
where,
F₁ +F₂ +F₃ +F......FN= force acting on the body.
From the Question:
Mass, M=28.59 kg
Velocity, V= 5.18 m/s
time, T =37.80 s.
Using equation (i)
F= mv/t
=28.59 kg*5.18 m/s
37.80 s.
=3.92N
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If the current leaving the cell in a parallel circuit is 0.3 A, what is the sum of the currents through all the branches in the parallel circuit?
The sum of the currents through all the branches in the parallel circuit is 0.3 A.
What is a parallel circuit?A parallel circuit is a type of circuit which comprises branches so that the current divides and only part of it flows through any branch.
The voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.
The sum of the current flowing in any branch of a parallel circuit is determined by applying Ohms law as follows;
I = V/R₁ + V/R₂ + V/R₃
where;
V is the voltage across the circuitR₁ is the resistance of the first component of the circuitR₂ is the resistance of the second component of the circuitR₃ is the resistance of the third component of the circuitThus, If the current leaving the cell in a parallel circuit is 0.3 A, then it implies that the resultant current or total current in the parallel circuit is 0.3 A.
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A football player runs due east for 30 yards then cuts up the field due north for a
distance of 35 yards before running into the end zone.
What is the total displacement of the football player?
Total displacement of the football player is 49.09 yards.
What is Displacement?Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude.
A football player runs due east for 30 yards then cuts up the field due north for a distance of 35 yards before running into the end zone.
Total displacement of the football player is 49.09 yards.
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Why is there an upper limit to the mass that can be supported by electron degeneracy pressure?
Electron degeneracy pressure is a specific manifestation of the more general occurrence of quantum degeneracy pressure.
What is mass electron degeneracy pressure?Electron degeneracy pressure will halt the gravitational slump of a star if its mass is below the Chandrasekhar limit (1.44 solar masses). This is the pressure that averts a white dwarf star from collapsing. Electron degeneracy pressure occurs when electrons are squeezed into a very small volume. Since their positions are well-known, they gain a large momentum in obedience to Heisenberg's uncertainty principle. This momentum generates a pressure that is temperature-independent and can result in helium flash. in stars. Electron degeneracy occurs at a solidity of about 106 kg/m3.
So we can conclude that The electron degeneracy pressure is taken by (n.v.p) where n is the number density, and v is the mean speed of the degenerate electrons.
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A hiker walks due East for a distance of 6 km
from her base camp. On the 2nd day, she covered
8km, North. On the 3rd day she walks for 4 km
South and found a cave. Determine her resultant
displacement between the base camp and the
cave.
Resultant displacement between the base camp and the cave will be 7.211 km
Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Her resultant displacement can be calculated using Pythagoras theorem
[tex]H^{2} = P^{2} + B^{2}[/tex]
= [tex]4^{2} + 6^{2}[/tex]
= 52
H = [tex]\sqrt{52}[/tex] = 7.211 km
Resultant displacement between the base camp and the cave will be 7.211 km
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Describe the particles when water is a liquid. What is their distance from one another? How quickly do they move? What did equations look like?
Particles in liquids are dispersed randomly and are relatively near to one another. The particles, collisions between them happen more frequently than in gases even if particles are moving quickly in all directions.
What is meant by particle ?A particle, also known as a corpuscule in older texts, is a tiny, confined object to which one or more physical or chemical attributes, such as size, density, or mass, can be applied.
How many particles are there in physics?There are 61 subatomic particles in the Standard Model as it is currently constructed. Since the mid-1950s, hundreds of more kinds of particles have been found. These subatomic particles can mix to produce composite particles.
What are particles made of?The Standard Model of Subatomic Particles is now thought to be the best theory to explain the universe's most basic constituents. It discusses how the building blocks of all known matter are quark, which make up neutrons and protons and leptons, which contain electrons.
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4. Ebo throws the ball again at an initial velocity of 18 m/s but this time at an angle of 53° to the ground. a) Work out the velocity in component vector form. b) Why will the ball spend a longer time in the air than it did before. c) Calculate the range of the ball.
16.52 m/s is the velocity and vcosθ is the velocity in component vector form.
velocity in vector form= vcosθ
vector form= vcosθ
vector form=18cos53
v=16.52 m/s
"The rate at which an item changes its location" is described by a vector number called velocity. Imagine someone walking quickly, one step forward, one step back, and starting each step from the same location. Velocity is a vector quantity. Therefore, velocity is cognizant of direction. The direction must be taken into account when determining an object's velocity. A velocity of 55 miles per hour is not sufficient information. It is necessary to account for the direction in order to accurately describe the object's velocity. Simply put, the direction of the velocity vector represents the motion of the object.
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The best graph to use if I want to compare the price of six different cars would be a
The best graph to use if I want to compare the price of six different cars would be a bar graph
A bar graph is a graphical representation of the given data . It uses bars that extend to different heights to depict value .
Bar graphs are used to compare different type of things between different groups or to see changes over a period of time. Hence , bar graph will fits the best if one want to compare the price of six different cars .
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An object with a mass of 33g and a volume of 39cm^3 is placed in a liquid with a density of 1.25 g/cm^3. Find the volume of the part of the object that is NOT submerged in the liquid. Give your answer in cm^3 and with 3 significant figures.
Answer:
V₂ = 12.6 cm³ - volume of the NOT immersed part:
Explanation:
Given:
m = 33 g
V = 39 cm³
ρ = 1.25 g/cm³
____________
V₂ - ?
Gravity:
F = m·g
Strength of Archimedes:
Fa = ρ·g·V₁
V1 - the volume of the submerged
The object is floating, so:
F = Fa
m·g = ρ·g·V₁
m = ρ·V₁
V₁ = m / ρ = 33 / 1.25 ≈ 26,4 cm³
V₂ - volume of the NOT immersed part:
V₂ = V - V₁ = 39 - 26.4 = 12.6 cm³
A 32.0 kg crate is initially moving with a velocity that has magnitude 3.58 m/s in a direction 37.0 ∘ west of north. How much work must be done on the crate to change its velocity to 5.10 m/s in a direction 63.0 ∘ south of east?
The amount of work done on the crate to change its velocity is 211.1 J.
What is the work done on the crate to change its velocity?
The work done on the crate to change its velocity is calculated by applying the principle of conservation of energy as shown below.
Applying work-energy theorem, the work done in changing the velocity of the crate is equal to the change in kinetic energy of the crate as shown below;
W = ΔK.E
W = ¹/₂m(v₂² - v₁²)
where;
m is mass of the cratev₁ is the initial velocity of the cratev₂ is the final velocity of the crateW = ¹/₂m(v₂² - v₁²)
W = ¹/₂(32)(5.1² - 3.58²)
W = 211.1 J
Thus, the amount of work done on the crate to change its velocity from 3.58 m/s at 37.0 ∘ west of north to 5.10 m/s in a direction 63.0 ∘ south of east, is based on the principle of conservation of energy.
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3.2 Two ropes are tied to a fixed nail. The tension in the ropes is 10N and 20N respectively, while the angle between them is 120degrees. Calculate the magnitude and direction of the reaction to the nail.[8] 3.3. A person going for a walk follows the path shown in Fig.P3.59. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point?
3.2) the magnitude and direction of the reaction to the nail is 26.5 N towards the wall.
3.3) the person's resultant displacement measured from the starting point is 239.99 m.
3.2)
The tension in the rope 1 = 10N
The tension in the rope 2 = 20N
the angle between them = 120degrees
We have;
R² = 10² + 20² - 2(10 x 20)Cos(120°)
R² = 100 + 400 - 400Cos(120°)
R² = 500 + 200
R² = 700
R = 26.5 N
towards the wall.
3.3)Let alone having the graph's x axis and the West-East axis in a Cartesian coordinate system coincide.
Let's split the vectors up using trigonometry.
Aₓ = 100.0 m
By = -300.0 m
angle measured from the positive side of the x-axis counterclockwise is
θ = 180 + 30 = 210
Cy = C sin 210° = -75.0 m
Cₓ = C cos 210° = -129.9 m
The angle from the positive side of the x-axis counterclockwise.
θ = 180-60 = 120º
Dy = D sin 120 = 173.2 m
Dₓ = D cos 120 = -100.0 m
add the component Then we get :
x = Aₓ + Cₓ + Dₓ
x = 100 - 129.9 -100 = -129.9 m
y = By + Cy + Dy
Y = -300 - 75.0 + 173.2 = -201.8 m
Resulting vector calculated as :
[tex]R = \sqrt{x^2 + y^2}[/tex]
R = 239.99 m
3.2) the magnitude and direction of the reaction to the nail is 26.5 N towards the wall.
3.3) the person's resultant displacement measured from the starting point is 239.99 m.
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Help on solving this single logarithm
log 8 + log 16 - log 2 = log64, In order to get another number, a number should be raised to a certain power, which is known as a logarithm.
The correct answer is A
Describe a logarithm.A number must be increased to a specific power, or logarithm, in order to obtain another number. For additional information on exponents, visit Figure 3.3 of this Math Review. As an example, the base 10 logarithm of the number ten raised to the power of two two is two, or log 100, which equals two.
What does a number's log mean?Exponentiation is a mathematical operation, and the logarithm, simply log, is its inverse. In other words, the log of a number is the value that a fixed base must be increased to in order to produce the value. Although technically any base can be used, the term "log" often suggests that base 10 is being used.
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What are the causes of different falls in the air?
A, Highlight drop drop
B, The Wind Blows
C, of object
D, Air resistance
D. air resistance
Hope it helps
A boy standing on top of a cliff throws a rock horizontally. The rock hits the ground 2.5 seconds later. How high is the cliff?
Answer:
30 . 7 m
Explanation:
It takes 2.5 seconds for the rock to fall the vertical height
d = 1/2 a t^2
d = 1/2 ( 9.81)(2.5^2) = 30.7 m
Sleeping with an even a small amount of light can cause negative changes to peoples metabolism. for example, a studies shown that those who slept in dim light had more trouble _______ the next morning.
A) processing sugar
B) maintaining posture
C) slowing down their heart rate
D) avoiding devices like smart phones
PLS HELP 50 PO IN TS
Answer: A
Explanation: The research mentions both the insulin resistance and the increased heart rate. But one thin I noticed is that the increased heart rate happens at night while they sleep, but the question asks for the next morning, so A.
There’s really no exact citation found but this is as close as I can get you.
If you are told an image has been made by a single optic that has a positive focal length, which is true?
If you are told an image has been made by a single optic that has a positive focal length, The options that are true are:
The image is real. (Option A)
The image is virtual. (Option B)
The image has a positive image distance. (Option C)
The image has a negative image distance. (Option D)
The image is inverted. (Option E)
The image is upright.(Option F)
The image was made with a converging optic. (Option G)
The image was made with a diverging optic. (Option H)
If the optic is a lens, it is convex. (Option I)
If the optic is a mirror, it is convex. (Option K)
What is Focal Lenght?The focal length of an optical system is the inverse of the system's optical power; it measures how strongly the system converges or diverges light.
A system with a positive focus length converges light, whereas a system with a negative focal length diverges light.
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Full Question:
If you are told an image has been made by a single optic that has a positive focal length, which is true?
a. The image is real.
b. The image is virtual.
c. The image has a positive image distance.
d. The image has a negative image distance.
e. The image is inverted.
f. The image is upright.
g. The image was made with a converging optic.
h. The image was made with a diverging optic.
i. If the optic is a lens, it is convex.
j. If the optic is a lens, it is concave.
k. If the optic is a mirror, it is convex.
l. If the optic is a mirror, it is concave.
3) Planet Y has two moons that move in circular orbits around the planet. Moon 1 has mass m1 = 8.8 × 1020 kg, orbital radius r1 = 2.6 × 1010 m, and period P1. Moon 2 has a mass m2 = 3.4m1 and orbital radius r2 = 16r1. What is P, the period of Moon 2 in terms of P, the period of Moon 1?
P2=2.16P1 the period of Moon 2 in terms of P, the period of Moon 1 in circular orbits while having centripetal force
In Circular orbit, we have centripetal force
centripetal force=mv²/r
m1= 8.8 × 10^20 kg
r1 = 2.6 × 10^10
P1.
m2 = 3.4m1
r2 = 16r1.
p2=?
m1p1/r1=m2p2/r2
P2=2.16P1
Any movement along a curved path accelerates, making applying force to the path's center of curvature necessary. This force is known as centripetal, which means "center seeking."
According to the Centripetal Force Formula, the centripetal force is equal to the product of the radius (in meters) and the square of the tangential velocity (in meters per second) (in meters). With a doubling of tangential velocity, this formula predicts that the centripetal force will also double.
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