Answer:
1. 19.28 secs
2. 154.22 m
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 16 m/s
Final velocity (v) = 0
Force (F) = 1000 N
Mass (m) = 1200 Kg
Time (t) =..?
Distance (s) =...?
Next, we shall determine the acceleration of the car. This can be obtained as follow:
Force (F) = 1000 N
Mass (m) = 1200 Kg
Acceleration (a) =.?
Force (F) = mass (m) x acceleration (a)
F = ma
1000 = 1200 x a
Divide both side by 1200
a = 1000/1200
a = 0.83 m/s²
Since the car is coming to rest, it means it is decelerating. Therefore, the acceleration is – 0.83 m/s²
1. Determination of time taken for the car to halt i.e stop. This can be obtained as follow:
Initial velocity (u) = 16 m/s
Final velocity (v) = 0
acceleration (a) = – 0.83 m/s²
Time (t) =.?
v = u + at
0 = 16 + (–0.83 x t)
0 = 16 – 0.83t
Rearrange
0.83t = 16
Divide both side by 0.83
t = 16/0.83
t = 19.28 secs.
Therefore, the time taken for the car to halt is 19.28 secs.
2. Determination of the distance travelled by the car before coming to rest. This can be obtained as follow:
Initial velocity (u) = 16 m/s
Final velocity (v) = 0
acceleration (a) = – 0.83 m/s²
Distance (s) =..?
v² = u² + 2as
0 = 16² + (2 x –0.83 x s)
0 = 256 – 1.66s
Rearrange
1.66s = 256
Divide both side by 1.66
s = 256/1.66
s = 154.22 m
Therefore, the distance travelled by the car before coming to rest is 154.22 m.
3) A stationary box is acted upon by 5 forces represented by letters of the alphabet as shown figure 1. Under which of these conditions will the box move in the direction shown in figure 2? Assume a frictionless surface. a) S=P+Q and T P or =P and T >Q+R
Answer:
Of course, with a triangle with a 90° angle, a right triangle, you can simply use pythagoras theorem (a2+b2=c2) then SOH-CAH-TOA to solve for the angle (θ=Cos−1(adjacenthypotenuse)) .
But what if it isn't a right triangle? The cosine rule works for all triangles, even if they don't have a 90° angle.
a2=b2+c2−2(b)(c)Cos(A)
Where a is the missing side, and A is the angle opposite to side a.
With this rule, we can find a missing angle or a missing side to any type of triangle, assuming you have the needed variables.
Explanation:
The box acted upon by the force of 5 N will move on a frictionless surface, with the condition S = P + Q.
What is Force?The effect of a push or a pull on the body is known as force. The main types of forces include friction forces, nuclear forces, and gravitational forces. For instance, when a hand strikes a wall, the wall exerts a force on the hand as well as the hand exerting a force on the wall. Newton was given several laws to comprehend force.
Given: with a triangle with a 90° angle, a right triangle, you can simply use Pythagoras theorem (a2+b2=c2) then SOH - CAH - TOA to solve for the angle (θ=Cos−1(adjacent hypotenuse)).
The cosine rule works for all triangles, even if they don't have a 90° angle.
a2=b2+c2−2(b)(c)Cos(A)
A is the angle opposite to side a,
With this rule, we can find a missing angle or a missing side to any type of triangle, assuming you have the needed variables.
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2/A mains electricity hairdryer has a resistance of 46 Ω and a current of 5 A flows through it when in use. What is the voltage across the hairdryer? (This is the mains voltage in the UK)
3/ What is the voltage across a lamp of resistance 4 Ω if a current of 2.5 A flows through it?
Please help :)
Answer:
I hope this answer will help you
two masses are kept 2 metre apart there is gravitational force of 2 Newton what is the gravitational force when they are kept at 4 metre apart
Answer: 0.5N
Explanation:
Gravitational force is calculated using the formula :
F = Gm1m2/r^2
Where G is the gravitational constant (6.67 × 10^-11)
At a distance 'r' of 2metres apart:
Mass of objects are m1 and m2
Gravitational force 'F1' = 2N
Inputting values into the formula :
2 = Gm1m2 / 2^2 - - - - - (1)
At a distance 'r' of 4meters apart:
Mass of objects are m1 and m2
Gravitational force 'F2' = y
Inputting values
F2 = Gm1m2 / 4^2 - - - - - (2)
Dividing equations 1 and 2
2 = Gm1m2 / 2^2 ÷ F2 = Gm1m2 / 4^2
2 / F2 = (Gm1m2 / 4) / (Gm1m2 / 16)
2 / F2 = (Gm1m2 / 4) × (16 / Gm1m2)
2/F2 = 16 / 4
Cross multiply
2 × 4 = 16 × F2
8 = 16F2
F2 = 8/16
F2 = 0.5N
Consider two sizes of disk, both of mass M. One size of disk has radius R; the other has radius 4R. System A consists of two of the larger disks rigidly connected to each other with a common axis of rotation. System B consists of one of the larger disks and a number of the smaller disks rigidly connected with a common axis of rotation. If the moment of inertia for system A equals the moment of inertia for system B, how many of the smaller disks are in system B?
Answer:
4 smaller disks
Explanation:
We are given;
Mass of smaller and larger disks = M
Radius of smaller disk = R
Radius of larger disk = 4R
Formula for moment of inertia about cylinder axis is:
I = ½MR²
Thus;
For small disk, I_small = ½MR²
For large disk, I_large = ½M(2R)² = 2MR²
We are told that moment of inertia of System A consists of two of the larger disks. Thus;
I_A = 2 × I_large = 2 × 2MR²
I_A = 4MR²
We are also told that System B consists of one of the larger disks and a number of the smaller disks. Thus;
I_B = I_large + n(I_small)
Where n is the number of smaller disks.
I_B = 2MR² + n(½MR²)
I_B = MR²(2 + n/2)
We are told that the moment of inertia for system A equals the moment of inertia for system B. Thus;
I_A = I_B
So;
4MR² = MR²(2 + n/2)
MR² will cancel out to give;
4 = 2 + n/2
Multiply through by 2 to give;
8 = 4 + n
n = 8 - 4
n = 4
Help Please
Energy unit conversions between electron volts (eV) and joules, (J); Einstein's photon energy equation;
Compton's momentum equation;
de Broglie's wavelength equation
Using your knowledge of these equations, quantitatively compare a 3.1 eV photon and a 3.1 eV electron by completing the following data table:
Energy (J)
Rest mass (kg)
Speed (m/s)
Wavelength (m)
Momentum (kg•m/s)
Answer:
Energy=3.1times 10^-17 J
Rest mass: 6.2 kg
Speed: 47.5 m/s
Wavelength: 2.659 times 10^-6
Momentum: 67.3 kg(m/s)
Explanation:
which statement best describes metallic bonding
Answer:
It's a type of chemical bonding that rises from the electrostatic attractive force between conduction electrons and positively charged metal bars. It can also be described as the sharing of free electrons among a structure of positively charged ions
Your question is incomplete. Please read below to find the missing content.
Metallic bonds end result because of electrostatic forces of enchantment which results while the definitely charged atoms and negatively charged atoms interaction to form an everyday electron sea version.
What is true approximately steel bonding?Metallic bonds occur among metallic atoms. Whereas ionic bonds are part of metals to non-metals, metal bonding joins a bulk of metallic atoms. A sheet of aluminum foil and a copper cord are both places where you could see metallic bonding in action.
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Explain what the purpose of projectile motion is, and the different equations used. Explain what each equation does.
Answer:
MY friend has already described the purpose of projectile motion so I will quickly go through the uses of each equation ...
Explanation:
TIME OF FLIGHT = it is given as 2Usin tita/g...it is the total time taken to and fro...it is 2x of the time taken ....
TIME taken ..t= Usin tita / g.....is the time taken to reach the maximum height which is 1/2 the TOTALTIME OF FLIGHT GIVEN ABOVE ..
MAXIMUM HEIGHT: the maximum height is the height attained by the projectile when projected ...it is calculate using the formula = U^2 sin^2 tita / 2g
Range =Search Results
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An object launched into projectile motion will have an initial launch angle anywhere from 0 to 90 degrees. The range of an object, given the initial launch angle and initial velocity is found with: R=v2isin2θig R = v i 2 sin 2 θ i g .
Evelyn walked to the store a distance of 1.6 km in 30 min. What is her average speed in m/s?
Average speed = (distance covered) / (time to cover the distance)
Average speed = (1.6 km) / (30 min)
Average speed = 0.0533 km/min
This is the true average speed, but it's not in the units that the question asked for. So we have to massage it and convert it to ' meters/sec '.
Speed = (1.6 km) / (30 min)
Speed = (1.6 km / 30 min) x (1,000 m / 1 km) x (1 min / 60 sec)
Speed = (1.6 x 1,000 x 1) / (30 x 1 x 60) (km-m-min / min-km-sec)
Speed = (1,600 / 1,800) (m / sec)
Speed = 0.89 m/s
A flat polished area is turned through 15 degrees. If the angle of incidence is 20 degrees, what is the angle between the incident ray and the reflected ray of the turned surface?
Answer:
50°Explanation:
Angle of rotation of the flat polished surface [tex]\theta[/tex] = 15°
angle of incidence i = 20°
Since the polished surface is turned at an angle of 15°, the angle of reflection
r = 2[tex]\theta[/tex] (Note that the angle of rotation only have effect of the angle of reflection)
r = 2*15 = 30°
The angle between the reflected ray and the incident ray will be equal to the sum of the angle of incidence and the angle of reflection i.e i+r
The angle between the reflected ray and the incident ray = 20°+ 30° = 50°
What is the formula for tension
Answer:
the formula for tension is mg + ma. T is equal to tension, N, kg-m/s^2
Explanation:
I hope it helps you
Answer:
Hey!
Your answer is...
T = mg + ma
Explanation:
T = tension, N, kg-m/s^2
m = mass, kg
g = gravitational force, 9.8 m/s^2
a = acceleration, m/s^2
HOPE THIS HELPS!!
Which of these results in kinetic energy of an object? a position b motion c mass d volume
Answer:
Option B
Explanation:
Kinetic Energy is the energy possessed by the body due to "motion".
The answer is:
B. Motionthe blank waves in the electromagnetic spectrum are gamma rays
Answer:
Gamma-rays. Gamma-rays have the smallest wavelengths and the most energy of any other wave in the electromagnetic spectrum. These waves are generated by radioactive atoms and in nuclear explosions. Gamma-rays can kill living cells, a fact which medicine uses to its advantage, using gamma-rays to kill cancerous cells.
Explanation:
mark me brainliest if my answer is helpful.....
A trapezoid shaped dam is 100 meters wide at the top, 80 meters wide at the bottom, and 40 meters deep. To find the total force exerted on the dam by the water, how would you set up the integral?
Answer:
F = 9800(42667 + 16000)
F = 5.75 × 10⁸N
Explanation:
In an obstacle course, runners must jump hurdles that are .84 m high. If the speed of one of the athletes when he is 1.63 meters from the fence is 4m / s on the horizontal axis and 4m / s on the vertical axis. Calculate the maximum height reached and indicate whether or not the jump was successful for that runner. Help :c
Answer:
0.82 m
Explanation:
Given:
v₀ᵧ = 4 m/s
aᵧ = -9.8 m/s²
Find: Δy when vᵧ = 0 m/s
vᵧ² = v₀ᵧ² + 2aᵧΔy
(0 m/s)² = (4 m/s)² + 2 (-9.8 m/s²) Δy
Δy = 0.82 m
The maximum height reached by the athlete is 0.82 meters. The jump is not successful.
PLZ HELP What is necessary condition for production of waves?
Answer:
The length of the rope must be an integral multiple of the wavelength of the wave.
Explanation:
Answer:
The condition necessary for formation or a standing wave is that the length of the rope (or the length over which the wave is distributed) must be an integral multiple of the wavelength of the wave. Therefore, l=nλ where n is a positive integer.
A lightbulb is rated by the power that it dissipates when connected to a given voltage. For a lightbulb connected to 120 V household electricity, decreasing the resistance of the filament will _____ the current through the bulb and _____ the power dissipated by the bulb. A lightbulb is rated by the power that it dissipates when connected to a given voltage. For a lightbulb connected to 120 V household electricity, decreasing the resistance of the filament will _____ the current through the bulb and _____ the power dissipated by the bulb. Decrease, decrease Decrease, increase Increase, increase Increase, decrease
Answer:
Increases, increases
Explanation:
The current is directly proportional to the voltage and inversely proportional to the resistance. The implication of this is that, whenever the voltage is increased, the current increases simultaneously. On the other hand, if the resistance is increased, the current will decrease accordingly and vice versa.
Recall that power is given by P= V^2/R where;
P= power, V= voltage and R= resistance
We can see that power and resistance are inversely related hence decreasing the resistance increases the power output of the lightbulb.
Answer:
Increase, increase
Explanation:
Ohm's law states that R=V/I .
This can be rearranged as I = V/R , showing that current is inversely proportional to resistance. When resistance decreases, current increases (with constant voltage).
Power dissipated by a resistor is given by the equation P = RI^2 . Showing that as R decreases and increases I, the increase to I is exponential while the decrease in resistance is not, which leads to increased power dissipation.
a 2500kg car is travelling at a constant speed of 14 m/s along an icy, but straight and level road. the driver of the car, seeing an approaching traffic light turn red., slams on the brakes. Wheels locked and ttired skidding, the car slide to a halt in a distance of 25m. What is the coefficient of friction
Answer:
0.40
Explanation:
Given that :
the mass of the caer = 250 kg
initial speed = 14 m/s
final speed = 0 m/s
distance s = 25 m
Using the equation of motion
[tex]v^2 = u^2 + 2as[/tex]
making a the subject of the formula ; we have:
[tex]v^2-u^2 = 2as[/tex]
[tex]a= \dfrac{v^2-u^2 }{2 \ s}[/tex]
[tex]a= \dfrac{(0)^2-(14)^2 }{2 \ (25)}[/tex]
[tex]a= \dfrac{0-196 }{50}[/tex]
[tex]a= \dfrac{-196 }{50}[/tex]
a = -3.92 m/s²
However; the relation for the coefficient of the kinetic static friction can be expressed as:
[tex]f= \mu_k *mg= ma[/tex]
[tex]f= \mu_k *g= a[/tex]
[tex]f= \mu_k = \dfrac{a}{g}[/tex]
[tex]f= \mu_k = \dfrac{3.92}{9.8}[/tex]
[tex]f= \mu_k = 0.40[/tex]
Please help. Brainliest will be given! 25 points. Show all work.
Explanation:
Given:
v₀ₓ = 15 m/s cos 20° = 14.10 m/s
aₓ = 0 m/s²
v₀ᵧ = 15 m/s sin 20° = 5.13 m/s
aᵧ = -9.8 m/s²
t = 1.5 s
Find: Δx and Δy
Δx = v₀ₓ t + ½ aₓ t²
Δx = (14.10 m/s) (1.5 s) + ½ (0 m/s²) (1.5 s)²
Δx = 21.1 m
Δy = v₀ᵧ t + ½ aᵧ t²
Δy = (5.13 m/s) (1.5 s) + ½ (-9.8 m/s²) (1.5 s)²
Δy = -3.33 m
Compare and contrast electric potential energy and electric potential difference? Explain.
Answer:
Electric Potential Energy:
The energy that is needed to move a charge against an electric firld is called Electric Potential Energy
Electric Potential Difference:
The amount of work done in carrying a unit charge from one point to an other in an electric field is called Electric Potential Difference.
Relation:
Relation between Electric potential and electrical potential energy is given by
[tex]\delta V=\frac{PE}{q}[/tex]
Here PE represents Electric potential energy
and [tex]\delta V[/tex] is Electric potential difference
it means electric potential difference is the difference in electric potential energy divided by the charge.
A neutral atom has the same number of protons as it does neutrons.
A. True
O B. False
SUBMIT
Answer:
The answer is False
Hope this helps you
It is false that a neutral atom has the same number of protons as it does neutrons. The correct option is B.
The claim that "A neutral atom has the same number of protons as it does neutrons" is untrue. Protons and electrons in a neutral atom are equal in number, but neutron counts can change.
Electrons have a negative charge, whereas protons have a positive charge. A neutral atom has a net charge of zero because the protons' positive charge is balanced by the electrons' negative charge.
Neutrons don't have an electric charge, though. Within a single element, the amount of neutrons can change, giving rise to many isotopes.
Isotopes contain the same amount of protons, but their atomic masses vary depending on how many neutrons they have.
Thus, the correct option is B. False.
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PLZ HELP Sound is a form of wave. List at least three reasons to support the idea that sound is a wave
Answer:
Sound is a form of wave . Wave is defined as a periodic disturbance in medium.
Reasons:
1. It follows all properties of light at a boudary.
2. Noise cancelling headphones.
3. It carry energy from one place to another.
Explanation:
I hope this will help you guy.
Sound wave is a mechanical type of wave because it requires a material medium for its propagation.
The following are three reasons sound is classified as a wave.
Reflection: sound waves are reflected like other waves when they strike a plane surface. This effect results to a phenomenon called Echo. Echo is the sound heard after the reflection of sound waves from a plane surface.Interference: sound wave like other form of wave exhibits interference. Interference of sound occurs when two waves of same frequency emitted by two close sources are superposed.Refraction: sound wave like other forms of wave also exhibits changes in velocity, frequency and wavelength when it moves from one medium to another.To learn more about sound waves, please visit: https://brainly.com/question/15805783
1. Light from a laser shines through two narrow slits 0.300 mm apart and produces an interference pattern on a screen 4.35 m away consisting of 9 bright fringes over a distance of 6.4 cm. a) Draw a labeled diagram of this scenario and briefly explain how the interference pattern is created b) Calculate the wavelength of the laser. What color is it?
Answer:
Explanation:
slit separation d = .3 x 10⁻³ m
screen distance D = 4.35 m
fringe width = 6.4 x 10⁻² / 9
= .711 x 10⁻² m
a ) Interference pattern on the screen is created due to interference of two light waves coming from two slits and falling in screen . When they fall on different points on the screen they travel different distance . This is called path difference . When their path difference is equal to their wave length or its integral multiple , they reinforce each other and at that point the brightness increases . On the other hand when at a point the path difference is equal to odd multiple of half wavelength , they kill or destroy each other and darkness is found at that point . In this way dark band and bright band appear on the screen . This is called interference pattern .
b )
Fringe width = λ D / d
Putting the values
.711 x 10⁻² = λ x 4.35 / 0.3 x 10⁻³
λ = .049 x 10⁻⁵
= 490 x 10⁻⁹
= 490 nm
The colour of this wavelength will be blue .
An alternating-current (AC) source supplies a sinusoidally varying voltage that can be described with the function v of t is equal to V times cosine of begin quantity omega times t end quantity, where V is the maximum voltage, omega is the angular frequency, and t is the time. If the frequency of this source is 60 Hz, what is omega equal to
Answer:
ω, the angular frequency of the source equals 377 rad/s
Explanation:
From the question, V(t) = V cosωt.
Now, ω = the angular frequency of the sinusoidal wave is given by
ω = 2πf where f = the frequency of the source = 60 Hz
So, the angular frequency of the source ,ω = 2π × the frequency of the source.
So, ω = 2πf
ω = 2π × 60 Hz
ω = 120π rad/s
ω = 376.99 rad/s
ω ≅ 377 rad/s
So, ω, the angular frequency of the source equals 377 rad/s
can we investigate that which fuel
is cheapest
Answer:
yeah..
as we all know that the cheapest fuel is petrol because it is the last product of petroleum.
hope it helps...
State Archimedes' principle.
Answer:
Archimedes Principle states that "any body completely or partially submerged in water is acted upon by an upthrust force which is equal to the magnitude of Weight of the body."
Answer:
We know that due to upthrust ,objects tend to lose weight when immersed in liquid.
Archimedes principle states that " If an object is partially or completely immersed in the liquid, the weight of liquid displaced by the object is its upthrust.This law is applicable for the gaseous medium too.The weight of the displaced liquid =pgv where p is density of liquid ,g is acceleration due to gravity and v is volume of displaced liquid.
Hope this helps...
Good luck on your assignment..
You notice the flagpole at school vibrating in the breeze. You count the vibrations and find that
the flagpole makes 20 complete vibrations in 10 seconds. You read somewhere that this
flagpole vibrates at a speed of 25 m/s when the wind is blowing. Find the wavelength of these
vibrations
Answer:
Wavelength =50 m
Explanation:
Given:
n=20
t=10sec
V=25m/s
Wavelength =?
Solution:
Wavelength = frequency ×velocity ---> eq 1
Time period=time/no of vibrations
T=10/20=0.5sec
Frequency =1/Time period(T)
f=1/0.5=2
Put the value of frequency in eq 1
Wavelength =2×25
Wavelength =50m...
Hope you understand!
Have a nice day!
What distance does a mobile travel that with a constant acceleration of 3m / s increases its speed from 6m / s to 12m / s
Answer:
18 m
Explanation:
Given:
v₀ = 6 m/s
v = 12 m/s
a = 3 m/s²
Find: Δx
v² = v₀² + 2aΔx
(12 m/s)² = (6 m/s)² + 2 (3 m/s²) Δx
Δx = 18 m
As part of previous adventures, formerly conjoined identical twin, Sue, is now 13.4 years younger than her identical twin Lou. (The anniversaries of their birth are no longer the same day.) It is Lou's turn to travel, and he goes away and back at 0.96c. During his round trip, Lou ages 1 year. What is the the difference in the twin's ages when he returns.
Answer:
Difference in Twin's Ages = 12.68 years
Explanation:
Using special theory of relativity's time dilation phenomenon, we first find the time that is passed on earth during Lou's trip.
t = t₀/[√(1 - v²/c²)]
where,
t = time measured by the person in relative motion = 1 year
t₀ = time measured by the person at rest = ?
v = speed of relative motion = 0.96 c
c = speed of light
Therefore,
1 year = t₀/[√(1 - 0.96² c²/c²)]
1 year = t₀/[√(1 - 0.9216)]
(1 year)(0.28 year) = t₀
t₀ = 0.28 year
Let,
y = Sue's age
x = Lou's age
so,
x - y = 13.4 years
but, after this trip Lou has aged 1 year, and on earth only 0.28 years passed so, Sue has aged only 0.28 years. Therefore,
x = x + 1
y = y + 0.28
Therefore,
(x + 1 year) - (y + 0.28 year) = 13.4 years
x - y = 13.4 years - 0.72 year
x - y = 12.68 years
Difference in Twin's Ages = 12.68 years
give four example each for newton's first,second,and thirdlaw of motion
WILL GIVE BRAINLIEST
The truck had kinetic energy of 72 MJ and came to a stop in 5 metres. Calculate the force exerted by the brakes showing all working
Answer:
The force exerted by the brakes is 14,400,000 N
Explanation:
Initial kinetic energy of truck = 72 MJ
Work done by the breaks, W = Force exerted by the brakes × Distance, D, the truck came to stop
The distance, D, in which the truck came to a stop is given as 5 meters
Given that the initial kinetic energy, KE of the truck that was reduced by the breaks = The work done by the brakes
We have;
W = ΔKE = Change in kinetic energy
ΔKE = Initial kinetic energy - Final Kinetic Energy
Initial kinetic energy, KE = 72 MJ
Final Kinetic Energy = 0 J (Truck stopped)
ΔKE = 72 - 0 = 72 MJ
Therefore we have;
Force exerted by the breaks = W/D = 72 MJ/5 = 14.4 MN. = 14,400,000 N.