This is Newton's first law of motion, which says it's due to the motion being opposed by unseen resistive forces such as friction and air resistance.
Newton's first law of motion :Newton's first law states that unless compelled to change its state by the action of an external force, every object is going to remain stationary or in uniform motion in a straight line. Inertia is the tendency to resist changes in a state of motion.
If an accident occurs or the brakes are suddenly applied to the car, the body will tend to continue its inertia and move forward, which will almost certainly prove fatal. Seat belts are used to prevent such accidents by preventing your body from moving forward in inertia and thus avoiding danger.
To know more about forces visit :
https://brainly.com/question/13191643
#SPJ9
solve problem 2.5 if a 150 mm thick brick wall, which is 2.1 m high and 7.5 m long, bears directly on the top of beam cd.
The tributary region of the beam CD is indicated by the shaded area. The tributary area of the beam CD has a width of B=3.6m. The CD beam's tributary area is 7.5 meters long. The concrete slab has a thickness of H=100mm.
What is structural analysis?
The goal of structural analysis is to forecast how a structure will react to a set of arbitrary external loads.
The goal of the structural analysis is to determine how changes to the structure as a whole or in part will affect the ultimate limit states and service ability limit states as described in Section 8.
Establishing a sensible distribution of internal forces, moments, stresses, strains, and displacements over the entire or a portion of a structure is the goal of a structural study.
To learn more about structural analysis, visit:
https://brainly.com/question/28152298
#SPJ4
Let b be the basis of r2 consisting of the vectors [ 4 ] 2 and [ -2 ] 5 , and let r be the basis consisting of [ 2 ] -3 and [ -1 ] 2 . find a matrix p such that [x]r=p[x]b for all x in r2.
The value of matrix p will be[tex]\left[\begin{array}{ccc}9&1\\14&4\end{array}\right][/tex].
To learn more about Vectors, visit: https://brainly.com/question/2264805
#SPJ4
A projectile is fired straight up from the south pole of earth with an initial speed vi = 15km/s. find the speed of the projectil when it is very far from the earth, neglecting air resistance
The calculated value is 2.5×10⁷ m.
Velocity is a term that describes the speed and direction of a point's motion. For example, a circular path's direction is always perpendicular to a line from the point to the circle's center. A point always moves in a direction that is tangent to its path (a radius). A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply said, velocity is the rate of movement in a single direction.
From energy conservation, since the velocity will be 0 at highest point,
1/2 m (10000) ²− GMm/R
=− GMm/d
=10⁸/2 −(9.8) (6400000)
=−(9.8) *(6400000) ²/d
d≈2.5×107 m
Answer is 2.5×10⁷ m.
Learn more about velocity here-
https://brainly.com/question/18084516
#SPJ4
You push on a block on frictionless ice with a force of 8 n, causing it to accelerate at 2 m/s 2. the mass of the block is:________
The mass of the block is:_force
Given, force f=8N.
acceleration (a) = 2 m/s 2. Now, a cording to
Newtons Law of force where, me mass
or,
m-Ea
= 8 = 4kg
What is force ?
In physics, a force is a power that could exchange the motion of an item. A force can reason an item with mass to alternate its velocity (e.g. moving from a kingdom of relaxation), i.e., to accelerate. force also can be described intuitively as a push or a pull. A pressure has each significance and course, making it a vector amount. it's far measured within the SI unit of newton (N). force is represented by the symbol F (formerly P).
The original form of Newton's second regulation states that the net pressure acting upon an object is same to the price at which its momentum adjustments with time. If the mass of the item is consistent, this regulation means that the acceleration of an item is without delay proportional to the internet pressure performing on the item, is in the route of the net force, and is inversely proportional to the mass of the item.
principles associated with pressure include: thrust, which will increase the velocity of an item; drag, which decreases the velocity of an item; and torque, which produces changes in rotational velocity of an item.
Learn more about force https://brainly.com/question/13191643
#SPJ4
a 0.900 kgkg block is attached to a spring with spring constant 13.0 n/mn/m . while the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 41.0 cm/scm/s . what are
A 0.900 kg block that is attached to a spring with spring constant 13.0 n/m when hit with the hammer has the amplitude of oscillation as 11.637 x 10^-3 cm.
Concept of spring force:When an object’s motion repeats in a predetermined cycle, it is said to be in periodic motion. The motion described here is an oscillation.
Spring and pendulum motion are two straightforward instances of oscillations, but there are numerous additional instances as well.
The fact that the item is in a stable equilibrium position is a key characteristic of periodic motion. A restorative force that is pointed in that direction as well. The application of force occurs in spring.
If x is the compression of the spring after it is hit,
1/2 k x² = 1/2 m v²
13 x² = .90 x (41 x 10⁻²)² 1681
x² = 116.37 x 10⁻⁴
x = 11.637 x 10^-5m
11.637 x 10^-3 cm
Amplitude of oscillation = 11.637 x 10^-3 cm
To know more about spring force visit:
https://brainly.com/question/14655680
#SPJ4
a torque of 12 n ∙ m is applied to a solid, uniform disk of radius 0.50 m. if the disk accelerates at 1.60 rad/s^2, what is the mass of the disk?
Mass of disc m =16.84 kg
Moment of inertia of disc about axis perpendicular to the plane of disc and passing through its centre = MR²/2
12 = MR²/2 × 5.7
12 = M(0.5)²/2 × 5.7
Mass = 12 × 2 /5.7 × 0.5² = 16.84 Kg
The atomic mass of an detail is described because the weighted common mass of that detail’sThe atomic mass of an detail is described because the weighted common mass of that detail’s is False
Atomic mass (Also referred to as Atomic Weight, even though this denomination is incorrect, for the reason that mass is belongings of the frame and the burden relies upon at the gravity) Mass of an atom similar to a positive chemical detail). mean "unit of atomic mass". This unit is likewise typically referred to as Dalton (Da) in honor of the English chemist John Dalton.
It is equal to 1 12th of the mass of the nucleus of the maximum ample isotope of carbon, carbon-12. It corresponds more or less to the mass of a proton (or a hydrogen atom). It is abbreviated as "uma", even though it could additionally be located with the aid of using its English acronym "amu" (Atomic Mass Unit). However, the advocated image is simply "u".
The atomic masses of chemical factors are typically calculated using the weighted average of the masses of the exceptional isotopes of each detail while taking into account the relative abundance of each one. This is the cause of the discrepancy between an element's atomic mass in umas and the range of nucleons that contains the nucleus of its maximum uncommon place isotope.
To know more about atomic mass , visit :
https://brainly.com/question/13672279
#SPJ4
At what distance from the wire is the magnitude of the electric field equal to 2.41 n/cn/c ?
The correct answer is 1.07m.
The area surrounding an electric charge where its impact may be felt is known as the electric field. When another charge enters the field, the presence of an electric field may be felt. The electric field will either attract or repel the charge depending on its makeup. Any electric charge has a property known as the electric field. The charge and electrical force working in the field determine the strength or intensity of the electric field.
Here, is the charge per unit length, r is the distance from the wire, and
is the free space permittivity ε_0. Electric field due to the long straight wire is,
E= λ/2πε_0r
Rearrange the equation for r.
r=λ/2πε_0E
Substitute 2.41 N/C for E,
E=1.44×10^-10C/m
λ=8.85×10^-12C^2/Nm^2
r=(1.44×10^-10C/m)/(2(3.14)(8.85×10^-12C^2/Nm^2)(2.41N/C))
r=1.07m
At a distance of 1.07 m the magnitude of electric field is 2.41 N/C.
To learn more about electric field refer the link:
https://brainly.com/question/12821750
#SPJ4
a copper cube has a mass of 153.6g the density of copper is 8.96g/cm3 calculate both the volume of the cube in cm3 and also the edge length in cm
The Volume of Copper Cube with mass 153.6 g and density 8.96 g/cm³ is 17.14 cm³ and its Edge is 2.58 cm long.
We have a Copper Cube of mass 153.6 g and density 8.96 g/cm³.
We have to calculate the volume and length of the cube in cm³ and cm respectively.
How is density and mass of body related ?The density and mass of body are related as follows -
M = ρV
Where -
M - mass of body
ρ - density of body
According to the question, we have →
Mass of copper cube = 153.6 g
Density of copper cube = 8.96 g/cm³
Using the formula discussed above -
M = ρV
V = M/ρ = 153.6/8.96 = 17.14 cm³
We know that the volume of cube is -
V = a x a x a
a³ = 17.14 cm³
a = 2.58 cm
Hence, the Volume of Cube is 17.14 cm³ and its Edge is 2.58 cm long.
To solve more questions on Mass - Density Relation, visit the link below-
https://brainly.com/question/4235232
#SPJ4
Question 6, “Some students observe drops of water falling from a tap that leaks, as shown in the diagram.
The students measure the time for 50 drops to fall from the tap. The time for 50 drops to fall is 20 seconds.
Calculate the average time between two drops falling.”
The average time between two drops falling t = 2/5 sec.
Equation :To calculate average time use formula,
t + t / product
So,
given,
time = 20 s
drops = 50
average time = ?
From this,
measured time for 50 drops = 20sec
Time required for 1 drop = 20/ 50
Average time between two drops = (2/5 + 2/5) / 2
Hence,
The average time between two drops t = 2 / 5
What is average time?Average Time on Page is a web analytics metric that gauges how long, on average, all website visitors stay on a single page. Only the average amount of time that users spend on non-exit pages is measured by this metric, which ignores exit pages and bounces.
To know more about gauges :
https://brainly.com/question/28481877
#SPJ9
Static charges are not dangerous
true
false
Answer:
false
Explanation:
At a distance of 17 km, a 136 hz horn, assumed to be an isotropic point source, is barely audible. at what distance would it begin to cause pain?
At a distance of 1.7 cm, the horn will begin to cause pain.
The source is an isotropic point source.
Let the distance at which the horn is barely audible be
[tex]r _2.[/tex]
[tex]r _2= 17 km[/tex]
Let the distance at which the horn will cause pain to be
[tex]r _2.[/tex]
[tex]A _{phere} = 4\pi \times r ^{2} [/tex]
The intensity ratio between barely audible and painful threshold is,
[tex]I = \frac{P }{A}[/tex]
[tex] \frac{I _2}{I _1 } = \frac{\frac{P}{4\pi \times r ^{2} _2 } }{ \frac{ P}{4\pi \times r ^{2} _1 }} [/tex]
[tex] = ( \frac{r _1 }{r _2 } ) ^{2} [/tex]
[tex]10 ^{ - 12} \: is \: ratio \: of \: the \: intensity [/tex]
between barely audible and painful threshold.
So,
[tex] \frac{I_2 }{I _1 } =( \frac{r _1 }{r _2 } ) ^{2} [/tex]
[tex] \frac{I_2 }{I _1 } = 10 ^{ - 12} [/tex]
[tex]r _2 = 17000 \: m[/tex]
The distance at which the horn will begin to cause pain is,
[tex]r _1 = r _2 \sqrt{10 ^{ - 12} } [/tex]
[tex]r _1 = 17000 \sqrt{10 ^{ - 12} } [/tex]
[tex]r _1 = 0.017 \: m[/tex]
[tex]r _1 = 1.7 \: cm[/tex]
Therefore, at a distance of 1.7 cm horn will begin to cause pain.
To know more about intensity, refer to the below link:
https://brainly.in/question/535414
#SPJ4
ecosystem A and wcosystem B have the same eight species, but ecosystem B has more distribution of species than ecosystem B. which ecosystem is mor diverse? expliain you reasoning.
Ecosystem A has more diversity, because it has greater species evenness than Ecosystem B.
Ecosystem :All the organisms and the physical setting they interact with make up an ecosystem. The nutrient cycles and energy flows connect these biotic and abiotic elements. Photosynthesis is how energy reaches the system and is absorbed by plant tissue.
Types of Ecosystem :Forest Ecosystem.
Grassland Ecosystem.
Tundra Ecosystem.
Desert Ecosystem.
What are the functions of ecosystem?Fundamentally, the way an ecosystem works is through the transfer of nutrients and energy up the food chain. The planet's plant and animal life, as well as the breakdown of organic matter and the creation of biomass, are all supported by these exchanges.
To know more about ecosystem :
https://brainly.com/question/13979184
#SPJ9
a pendulum clock runs fast, how should the length of the pendulum be adjusted to correct the problem?
If a pendulum clock is running fast, the length of the pendulum should be increased to correct the problem.
The time period of a simple pendulum clock is:
T= 2π√(l/g)
Where,
l is the length of the simple pendulum and g is the gravity.
From the formula, we can see that the time period is directly proportional to the square root of the length. Decreasing the length will decrease the time period and the clock will move faster.
In order to slow the clock, increase the length of the pendulum to increase the time period.
If you need to learn more about simple pendulum, click here
https://brainly.com/question/2292218?referrer=searchResults
#SPJ4
A piece of copper foil has a mass of 3.1118 g, a length of 12.10 cm, and a width of 11.67 cm. assuming the foil has a uniform thickness, what is its thickness in units of mm?
The correct answer is 0.024cm.
The density of a substance determines how heavy it will be in a given volume. It is technically the mass of that material per unit volume. It is implied by this that a specific material weighs a specific quantity relative to its volume.
A substance's density determined how heavy it would be at a particular size. It is an inherent quality that is not affected by geography, such as a shift in the globe.
density of copper = 8.93 g/cm3
mass = 3.1118 g
Density= mass/volume
8.93= 3.1118 /volume
volume=3.1118/8.93
=0.348 cm^3
Volume = l×b×t
T= volume/ l×b
=0.348 cm^3/12.10×11.67
=0.348 /141.2
=0.0024×10mm
=0.024cm
To learn more about density refer the link:
https://brainly.com/question/14112788
#SPJ4
a rower wanted to determine the speed of a river's current prior to going down a particular section of the river. she released a tracker into the river. the tracker sent her back the following information: after 4 seconds since the tracker was released into the river the tracker had traveled 7 meters. after 10.6 seconds since the tracker was released into the river the tracker had traveled 17.5 meters. assuming the river was flowing at a constant speed, what was the speed of the current on this section of the river?
The part of river's current moves at a 1.486 m/s speed.
the distance between two points, objects, lines, etc. Remoteness is the quality of being physically separated from another thing or person. a line drawn in the universe. To walk seven miles in one hour would be too time-consuming.
The difference between the change in distance and the change in time is used to compute the rate of change.
Rate: times the distance Time
The distance is 16.5 miles, and the time is 5.5 hours.
If we enter this into the formula above, it yields:
16.5 - 5.5 / 10.9 - 3.5 = 11/7.4 = 1.486 m/s is the rate of change.
Calculations show that the constant rate of change is 1.486 m/s.
learn more about distance here-
https://brainly.com/question/15172156
#SPJ4
what is fmin,1, the lowest frequency that will produce the maximum intensity (imax) at the observer, assuming the observer would still hear the intensity of 6 w/m2 when either s1 or s2 is sounded alone?
The lowest 19.152 [tex]\frac{w}{m^{2} }[/tex] frequency that will produce the maximum intensity (Imax) at the observer, assuming the observer will still hear an intensity of 6 w/m2 when [tex]S_{1}[/tex] or [tex]S_{2}[/tex] is heard alone.
We have [tex]I_{1} =I_{2}[/tex]
[tex]= 6 w/m^{2}[/tex]
Path difference
δ = 5.6568 - 4
δ = 1.6568 m
v = 335 m/s
Intensity I = [tex]4I_{1} cos^{2}[/tex](πδ/λ)
[tex]= 4I_{1} cos^{2}[/tex](πδf/v)
[tex]= 4 * 6 cos^{2}(\frac{\pi *1.6568*30}{335} )[/tex]
I = 19.152 [tex]\frac{w}{m^{2} }[/tex]
the lowest frequency is selected to cowl the N-point signal at its coarsest scale with the aid of the default wavelet's two-time popular deviations. the very best frequency wavelet bandpass filter out loses half of of its height importance at the Nyquist frequency because of the most frequency.
guy's voice has the lowest frequency in comparison to other sounds seeing that frequency and pitch cross hand in hand. Pitch denotes the voice's shrillness. the man's voice is the selection with the least strident tone. It, therefore, has the bottom pitch of all and for this reason the bottom frequency.
Know more about frequency:
https://brainly.com/question/5102661
#SPJ4
An auto dealer has 4 different cars and 6 different trucks. how many ways are there to select two vehicles?
There are C different ways to choose two different automobiles (12, 2).
In mathematics, a choice is made from a set of various components where the order of the choices is unimportant (unlike permutations).
For instance, there are three conceivable combinations of two given fruits, such as an apple, an orange, and a pear: an apple and a pear; an orange and an apple; or an orange and a pear. Formally speaking, a set S's k unique components make up a subset known as a k-combination. In other words, two combinations are same only if all of their members are the same.
Learn more about combination here:
https://brainly.com/question/19692242
#SPJ4
One of the pieces of evidence supporting energy quantization was the line spectra of elements. Why does this demonstrate energy quantization?.
There are distinct emission lines indicating discrete energy levels.
When a component transmits energy in the form of radiation, a spectrum of colors is produced on a photographic plate. This spectrum can be both continuous and discrete. The spectrum persists without distinction between two regions in a continuous spectrum. This represents the uninterrupted radiation emission and thus the uninterrupted emission of energy.
The line spectrum, on the other hand, is made up of discrete and sharp lines that show the emission of radiation in a specific amount over a specific time period, with a break between emission. As a result, the line spectra supports energy quantization.
To learn more about energy quantization: brainly.com/question/14327721
#SPj4
If the maximum e-component of an electromagnetic wave is 600 v/m, what is the maximum b-component?
the maximum e-component of an electromagnetic wave is 600 v/m then the maximum b-component is B = 2.0 * 10^-6 T.
What is electromagnetic wave?In terms of science, electromagnetic radiation is made up of electromagnetic field waves that are travelling through space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, light, and radio waves. These waves are all a component of the electromagnetic spectrum.
Em/Bm = c
Bm = c*Em
B = E/c
B = 600 V/m / 299,792,458 m/s
B = 2.0 * 10^-6 T
to learn more about electromagnetic wave go to -
https://brainly.com/question/13874687
#SPJ4
You toss a ball straight up, and it reaches a maximum height h above the launch position. If you want to double the length of the time interval during which the ball stays in the air above the launch position, to what maximum height do you have to throw it? Express your answer in terms of h.
With the use of formula, the maximum height reached by the ball in term of h is 4h
What is a Projectile ?A projectile is any object thrown into the space or atmosphere which take a trajectory path.
If you toss a ball straight up, and it reaches a maximum height h above the launch position, Then the maximum height reach will be
v² = u² - 2gh
But at maximum height, v = 0
u² = 2gh
h = u² / 2g ...... (1)
Also, the time taken will be;
v = u - gt
since v = 0,
u = gt
Substitute u into equation 1
h = (gt)² / 2g
If you want to double the length of the time interval during which the ball stays in the air above the launch position, then,
u = g2t and the maximum height will be
H = (g2t)² / 2g
H = 4g²t² / 2g
H = 4(gt)² / 2g
but h = (gt)² / 2g
H = 4h
Therefore, the maximum height you have to throw it in terms of h will be 4h.
Learn more about Maximum height here: https://brainly.com/question/12446886
#SPJ1
A hiker walks 4.24m, north and 13.32 m, E. What is the magnitude of his resultant displacement.
Answer:the magnitude of the hikers resultant displacement
Explanation:
A 5kg object with a velocity of 6m/s strikes a motionless ball. the object stops moving as a result of the collision. what is the velocity of the ball after the collision?
mU1 + mU2 = mV1 + mV2
(5 × 6) + (3 × 4) = 5V + 3V
30 + 12 = 8V
42 = 8V
V = 5.25m/s
The velocity of the ball after the collision is 5.25m/s.
What is velocity ?While velocity refers to the speed and direction of an object's motion, speed is the rate at which an object moves along a path over time.
The rate at which something moves in a certain direction is referred to as its velocity. as quickly as a car traveling north on a highway or a rocket taking flight. The magnitude of the velocity vector's absolute value will always be equal to the motion's speed because it is a scalar.
To learn more about velocity from the given link:
brainly.com/question/18084516
#SPJ4
You drive for 30 minutes at 30 mi/hr and then for another 30 minutes at 50 mi/hr. what is your average speed for the whole trip?
The average speed for the whole trip will be 40 miles per hour.
What is the average speed?The average speed is the ratio of the total distance over the total time taken. Then the average speed is given as,
Average speed = (Total distance) / (Total time)
You drive for 30 minutes at 30 miles per hour. Then the distance covered will be
D₁ = 30 x 30 / 60
D₁ = 15 miles
And then for another 30 minutes at 50 miles per hour. Then the distance covered will be given as,
D₂ = 50 x 30 / 60
D₂ = 25 miles
Then the average speed for the whole trip will be
Average speed = (15 + 25) / (0.5 + 0.5)
Average speed = 40 / 1
Average speed = 40 miles per hour
Thus, 40 miles per hour will be the average speed for the whole trip.
More about the average speed link is given below.
https://brainly.com/question/12322912
#SPJ4
Write the form of the partial fraction decomposition of the function (see example). do not determine the numerical values of the coefficients. (a) 7x (x 6)(3x 2)
We have the given equation as [tex]\frac{7x}{(x+6)(3x+2)}[/tex] that we have to convert through partial fraction decomposition.
What is Partial Fraction?The partial fraction decomposition or partial fraction expansion of a rational fraction in algebra is the process of expressing the fraction as the product of a polynomial (possibly zero) and one or more fractions with a simpler denominator.
A rational fraction is defined as one that has a polynomial as both the numerator and the denominator.
Theory and solutionWe have to find the form of the partial fraction decomposition of the function.
The given rational function has two factors in multiplication form in the denominator.
Also, the degree of the numerator is less than the denominator. Hence, the form of partial fraction decomposition of the function is:
[tex]\frac{7x}{(x+6)(3x+2)}[/tex] = [tex]\frac{A}{x+6} + \frac{B}{3x+2}[/tex]
To know more about Partial Fraction Decomposition, visit:
https://brainly.com/question/2516522
#SPJ4
the g string on a guitar is a 0.44-mm-diameter steel string with a linear density of 1.1 g/m . when the string is properly tuned to 196 hz, the wave speed on the string is 250 m/s. tuning is done by turning the tuning screw, which slowly tightens-and stretches-the string.
The g - string will stretch by 0.0016 mm.
We have a g - string of a guitar with given specifications.
We have to determine how many mm does a 75-cm-long g - string stretch when it’s first tuned.
According to the question -
The force of tension in the string -
[tex]$v = \sqrt{\frac{T}{\mu} }[/tex]
T = [tex]$v^{2} \mu[/tex] = 250 x 250 x 0.0011 = 68.75 N
The Yung modulus of steel = 2 x [tex]10^{11}[/tex] N/[tex]m^{2}[/tex]
the amount by which the g - string will be stretched is given by -
[tex]$\delta L = \frac{LT}{Y(\pi r^{2})}[/tex]
Substituting the values -
[tex]$\delta L = \frac{0.75\times 68.75 }{(2\times 10^{11} )\times (\pi (2.2 \times 10^{-4}\times 2.2\times 10^{-4}) )}[/tex]
[tex]\delta L=[/tex] 0.0016mm
Hence, the g - string will stretch by 0.0016 mm.
To solve more questions on Oscillations, visit the link below-
https://brainly.com/question/15872783
#SPJ4
[ The given question is incomplete. The complete question is
" The G string on a guitar is a 0.46-mm-diameter steel string
with a linear density of 1.1 g/m. When the string is properly
tuned to 196 Hz, the wave speed on the string is 250 m/s. Tuning
is done by turning the tuning screw, which slowly tightens—and
stretches—the string. By how many mm does a 75-cm-long G
string stretch when it’s first tuned? "]
a helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation.
The linear speed of the helicopter blade is 33.51 m.
Tangential or linear speed of the bladeThe tangential speed of the helicopter blade is calculated as follows;
v = ωr
where;
ω is angular speed in radian per secondr is the radius of the circular pathω = 80 rev/min
ω = 80 x 2π rad/rev x 1 min/60s
ω = 8.378 rad/s
v = 8.378 rad/s x 4 m
v = 33.51 m
Thus, the linear speed of the helicopter blade is 33.51 m.
Learn more about linear speed here: https://brainly.com/question/15154527
#SPJ4
The complete question is below:
Find the tangential speed of the helicopter's blade.
A flat slab of styrofoam, with a density of 32 kg/m3, floats on a lake. what minimum volume must the slab have so that a 45 kg boy can sit on the slab without it sinking?
Minimum volume must the slab have so that a 45 kg boy can sit on the slab without it sinking is 0.465 m³.
What is buoyant force?
The buoyant force is the upward force exerted on an item that is fully or partially submerged in a fluid. This upward thrust is also known as an upthrust. Because of the buoyant force, a body submerged partially or entirely in a fluid appears to be lighter or to lose weight.
Given:
Density of the styrofoam, ρ' = 32 kg/m³
Now, let the volume of the slab = V
the submerged volume be = V ;
now, the volume of water displaced will be V
thus,
the buoyant force acting will be = ρVg
{where,
ρ is the density of water
g is the acceleration due to gravity}
now,
total downward force acting = weight of the boy + weight of the slab
total downward force acting =45 × g + ρ' × V × g
For the no sinking condition, buoyant force should be equal to the total downward force.
thus,
ρ × V × g = 45 × g + ρ' × V × g
or
ρ × V = 45 + ρ' × V
on substituting the values
V ( 1000 - 32 ) = 45 ;
or
V = 0.465 m³
To know more about buoyant force, go to URL
https://brainly.com/question/11884584
#SPJ4
What is the hybridization of the xe atom in the xecl4 molecule?
a. sp
b. sp2
c. sp3
d. sp3 d
e. sp3 d 2
Answer:
sp3 d 2
Explanation:
7th GRADE SCIENCE QUESTION PLEASE ANSWER AS FAST AS YOU CAN I NEED IT (it can be 1 day late is fine... Ok I'll give you today like this minute and you can answer it when it is posted about 1-2 days but if you can answer it now that will be great)!!!
Question #1: State the role of a nucleus in a cell.
For the theory of special relativity to apply, how should a reference frame be chosen?
1905, Albert Einstein. The theory of special relativity explains how speed affects space, time, and mass. Small amounts of mass (m) can be interchangeable with large amounts of energy (E), as defined by the classic equation E = mc2, according to the theory, which offers a means for the speed of light to define the link between energy and matter.
When talking about extremely high energy, incredibly fast speeds, and astronomical distances without the difficulties of gravity, special relativity is typically employed. With the publication of his general relativity article in 1915, Einstein formally incorporated gravity into his ideas.
The mass of an object and the energy needed to move it both grow unlimited as it gets for any matter to go faster than light travels. This cosmic speed limit inspires new realms of physics and science fiction, as people consider travel across vast distance closer to the speed of light. Therefore, it is not possible.
To learn more about Special relativity:
https://brainly.com/question/28289663
#SPJ4