Answer:
A. 16t2 -116t -101=0 B. 8.0s
Explanation:
Known parameters from the question:
Height of Cliff,h0 = 101ft
Velocity of rocket ,v= 116ft/s.
1.Substituting the above to the above formula we have;
h(t) = -16t2 + vt + h0
Since h(t) =0, it means the rocket is falling towards the ground, when it gets to the ground when it's at rest the height h(t) = 0m
{Note the rocket is launched from the height of the Cliff so that would be the initial height of the rocket,h0}
2.Substituting into h(t) = -16t2 + vt + h0
We have;
0 = -16t2 + 116t + 101=> 16t2 -116t -101=0
Using formula method for solving quadratic equation we have;
t = -(-116)+_√[(-116)^2 -( 4× 16 ×-101]/ (2× 16)
t = [116 +_(141.1382)]/32
t = (116 -141.1382)/32 or (116 +141.1382)/32
-0.786s or 8.036s
-0.8s or 8.0s to the nearest tenth.
Now time cannot be negative in real life situation hence the time is 8.0s
Note : the general equation of a quadratic equation with variable t is given below;
at2 + bt + c=0
Formula method for quadratic equation is :
t =( -b+_√[(b^2 -( 4× a×c)] ) / (2× a)
WILL GIVE BRAINLIEST AND 10 POINTS!! An asteroid is hustling through the solar system, in the vicinity of the inner planets. Based on what you know about gravitational attraction, which planet is LEAST likely to attract the asteroid?
Answer:
mercury
Explanation:
The planet with the smallest mass must have the smallest gravitational pull - which is mercury, with a pull of approx. 0.38 times the Earth's gravitational pull.
iv. The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. What is the power of the lift? (1 point)
Answer:
Power is 4373.25 W
Explanation:
We have,
The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. It is required to find the power of the lift. Power is equal to the rate at which the work is done. So,
[tex]P=\dfrac{Fd}{t}\\\\P=\dfrac{8330\times 2.1}{4}\\\\P=4373.25\ W[/tex]
So, the power of the lift is 4373.25 W.
You get in your car to drive to school at 7:33 am and drive 10 miles north at a constant speed until 7:45
am, when you realize you left your homework on the kitchen table. You turn around and drive 10 miles
south back to your house and retrieve your homework at 8:00 am. You get back in the car and drive 15
miles north to school at a constant speed arriving at school at 8:29 am sharp, just in time to make it
before the bell rings.
e
Answer:
5.) 16.8 m/s
6.) 16.1 mph
7.) Moving fast.
Explanation:
5.) From the question, the total time will be:
7:33 am to 7:45 am = 12 minutes
As the car turns around,
7 : 45 am to 8 : 00am = 15 minutes
As you get back in the car and drive 15
miles north to school at a constant speed arriving at school at 8:29 am
8:00am to 8:29 am = 29 minutes
Total time = 12 + 15 + 29 = 56 minutes
Convert the minutes to second by multiplying the result by 60
Total time = 56 × 60 = 3360 seconds
Total distance covered will be
10 miles + 10 miles + 15 miles = 35 miles
Convert mile to meter by multiplying the result by 1609.344
35 × 1609.344 = 56327.04
Speed is a scale quantity. It only involves magnitude but no direction.
Average speed = total distance/total time
Average speed = 56327.04/3360
Average speed = 16.764 m/s
6.) Velocity = displacement/time
Velocity is a vector quantity. We will consider both the magnitude and direction
Total displacement = 10 miles - 10 miles + 15 miles = 15 miles.
Total time = 56 minutes
Convert minutes to hours by dividing it by 60
Total time = 56/60 = 0.93 hours
Substitute the time and displacement into the formula
Velocity = 15/0.93 = 16.07 mph
7.) . If you looked at your speedometer on your drive to school and it read 30mph, this value describes you move with a fast speed.
SOMEONE HELP ME!!!!!
When describing image formation in mirrors, what is the angle of reflection?
Answer:
angle of refraction is the same as angle of incidence
Explanation:
Answer:
The angle of reflection is 180 degrees because if you mapped it on a coordinate plane, both the real object and the image in the mirror will be on opposite sides.
This is a physics question about acceleration, I'm a Sophmore btw
"Determine the amount of time it takes for a car to accelerate forward at a rate of 7.00 m/s^2 if it starts from rest and reaches a final speed of 30.0 m/s."
I was having trouble figuring out the time if anyone can help that'd be lovely!!
Answer:
4.29 s
Explanation:
Given:
v₀ = 0 m/s
v = 30.0 m/s
a = 7.00 m/s²
Find: t
v = at + v₀
30.0 m/s = (7.00 m/s²) t + 0 m/s
t = 4.29 s
Hi can someone help with this:
1) The volume of a gas is 4 m3 when its pressure is 200 kPa. Assuming the temperature does not change, calculate its pressure when the volume is 3 m3 .
2) The pressure of a gas is 1.8 × 105 Pa when its volume is 80 cm3 . Its temperature is constant. Calculate its volume when the pressure becomes 1.2 × 105 Pa.
I'd appreciate if there was working shown
Answer:
2.67 x10 power5 PascalExplanation:
pv=nRT n, R,T--constantso, p1v1=p2v2
p2=p1xv1/v2
Differents between foundamental quantity and derived quantities
Answer:
fundamental quantity can simply be defined as an independent quantity while derived quantity is dependent i.e. the derive their quantities from the fundamental
At what wavelength would a star radiate the greatest amount of energy if the star has a surface temperature of 60,000 K?
Answer:
[tex]\lambda=4.81\times 10^{-8}\ m[/tex]
Explanation:
We have,
The surface temperature of the star is 60,000 K
It is required to find the wavelength of a star that radiated greatest amount of energy. Wein's displacement law gives the relation between wavelength and temperature such that :
[tex]\lambda T=2.89\times 10^{-3}[/tex]
Here,
[tex]\lambda[/tex] = wavelength
[tex]\lambda=\dfrac{2.89\times 10^{-3}}{60000}\\\\\lambda=4.81\times 10^{-8}\ m[/tex]
So, the wavelength of the star is [tex]4.81\times 10^{-8}\ m[/tex].
What is the unit of work? Explain whether the unit of work is a fundamental uint
or derived unit
1.
What do you mean by a unit?
2.
unit or a derived unit.
are the fundamental units used in physics?
al Bureau of Weights and Me
Answer:
1)the unit of work is joule. 2)it is derived unit because it is made by two different unit force and displacement .3)
A car has a kinetic energy of 1.9 × 103 joules. If the velocity of the car is decreased by half, what is its kinetic energy?
Answer:
475 J
Explanation:
Kinetic energy is calculated by one half of the product of mass and velocity squared or expressed as:
KE = 1/2 (mv²)
We calculate as follows:
KE1 = 1/2 (mv²) = 1.9 * 10^3 joules
KE2 = 1/2 (m(v/2)²) = 1/2 (mv²/4)
KE2 = 1.9 * 10^3 joules / 4 = 475 J
a diode can be used as a rectifier. what is the function of a rectifier?
Explanation:
Rectifier diodes are used in power supplies to convert alternating current (AC) to direct current (DC), a process called rectification. They are also used elsewhere in circuits where a large current must pass through the diode.
Earth is a dynamic system what exactly does this mean
Answer:
The answer to the following question is given below.
Explanation:
This means a mixture of interconnected, interlinked, or interactive elements that establish the collaborative entity or entities.
The Earth system manages to maintain its very presence on even a macro level as well as processes in general thru the engagement of all its elements. This affects such as erosion, whereas others happen unexpectedly, such as an earthquake. It is crucial to keep our lifestyle in mind that we can recognize all such adjustments as well as their implications.A 0.50 kilogram ball is held at a height of 20 meters. What is the kinetic energy of the ball when it reaches halfway after being released?
A.
49 joules
B.
98 joules
C.
1.0 × 102 joules
D.
1.1 × 102 joules
Answer:
A
Explanation:
Use the conservation of energy formula to calculate the velocity of the ball when it reaches the halfway point (10m down). Then, use your calculated value to obtain the kinetic energy.
Answer:
A. 49 on Plato
Explanation:
Its the right one trust me .
GENTE ME AJUDEM NESTA QUESTÃO POR FAVOR, TENHO PROVA ONLINE AMANHÃ! "Um sonar de um navio de pesca localizou um cardume de sardinhas a 300 m de profundidade. Sabendo que a velocidade de propagação do som na água tem o valor de 1500 m/s, calcula o tempo que decorre desde a emissão dos ultra-sons e a sua receção no navio." Por favor!
Answer:
The time between the emission of the wave and it's reception was 0.4 seconds.
Explanation:
The sound wave emitted by the sonar traveled from the boat to the fishes and came back, therefore the distance of it's total route is twice the distance from the boat to the fishes. We can apply the average speed formula in order to solve this problem, this is done below:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]
We were given the distance traveled by the wave and it's speed, therefore we can solve for the time:
[tex]\text{time} = \frac{\text{distance}}{\text{speed}}\\\\\text{time} = \frac{(2*300)}{1500}\\\\\text{time} = \frac{600}{1500} = 0.4 \text{ s}[/tex]
The time between the emission of the wave and it's reception was 0.4 seconds.
A train is moving west with an initial velocity of 20m/s accelerates at 4m/s for 10 seconds during this time the train moves a distance
Answer:
400m
Explanation:
From Newton's law of motion;
S = ut + 1/2 at2
Where U is initial velocity
a is acceleration
t is velocity hence;
S is distance covered
S = 20×10 + 1/2 × 4×(10)^2
= 200 + 200 = 400m
HELLO ONCE MORE FRIENDS . PLEASE HELP ME.
Q.18) In the figure below, Force (F) of 2000 N is acting on the piston A and a bus is on the piston B. If the area of piston A is 50 cm2 and the area of piston B is 4000 cm2
a)Find the pressure produce of the piston B . (3 marks)
b)Find the weight of the bus on the poston B. ( 3 marks)
c)Calculate the mass of the bus. ( 3 marks)
Answer:
Do u want to talk?
Explanation:
Answer:
You found answer yet?
Explanation:
Heat is supplied to convert 1.26 kg of water at 100°C to steam at 100°C? Latent heat of vaporization of water is
2.26 x 106 J/kg.
a
What is latent heat, and how does it affect the temperature of a substance?
Given that,
Mass of water = 1.26 kg
Latent heat of vaporization of water [tex]L=2.26\times10^{6}\ J/kg[/tex]
We need to calculate the latent heat
Using formula of latent heat
[tex]Q=mL[/tex]
Where, Q = energy
m = mass
L = latent heat of vaporization
Put the value into the formula
[tex]Q=1.26\times2.26\times10^{6}[/tex]
[tex]Q=2847600\ J[/tex]
[tex]Q=2.84\times10^{6}\ J[/tex]
The temperature changes liquid to steam.
So, The temperature will be increases.
Hence, The latent heat is [tex]2.84\times10^{6}\ J[/tex] and temperature increases.
Answer:
latent heat = 2.84 x 10^6
and the temperature increase
Explanation:
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left?
Answer: 98cm
Explanation:
Dimension of rectangle = 30cm by 25cm
Length(l) = 30cm
Width(w) = 25cm
Perimeter of a rectangle = 2(l + w)
Quadrant of circle cut away of each side of the rectangle :
Radius = 7 cm =
That is, the dimension of the triangle reduces by 2 * 7 = 14cm
New length = 30 - 14 = 16cm
New width = 25 - 14 = 11cm
The four corners =( 4 × 2πr ) / 4
2πr = 2 × 22/7 × 7 = 44cm
Perimeter = 2(16cm + 11cm)
= 2(27cm)
Perimeter = 54cm + 44 = 98cm
How can one find the mechanical advantage of a pulley?
Answer:
To calculate the mechanical advantage of a pulley you simply have to count the number of rope sections that support whatever object you are lifting (not counting the rope that is attached to the effort)
Example:
For example, in a one pulley system the MA is 1. In a two pulley system the MA is 2. The more compound the pulley is the easier the load is to lift. If you were lifting a 600kg object with 2 pulleys you would have to use enough effort to pull 300kg to lift the 600kg object! Therefore your mechanical advantage would be 2 (600/300).
MA= load/effort OR number of rope sections
a 1000 kg rhinoceros running at its top speed of 15 m/s has a kinetic energy of a.bc X 10^ J. What are the values of a.b.c. and d?
Answer:
K.E = 1.13 × 10^5 J
When compared to;
K.E = a.bc X 10^d J
We can observe that;
a = 1
b = 1
c = 3
d = 5
Explanation:
Given;
Mass of rhinoceros m = 1000kg
Velocity v = 15m/s
The kinetic energy of the body at this speed is;
K.E = 0.5×mv^2 ........1
Substituting the values of m and v into equation 1;
K.E = 0.5×1000×15^2
K.E = 112500 J
K.E = 1.13 × 10^5 J
When compared to;
K.E = a.bc X 10^d J
We can observe that;
a = 1
b = 1
c = 3
d = 5
A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (1⁄4u2) N, where u is in radians, is applied to the cord, determine the disk’s angular acceleration when it has turned 5 revol
A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (1⁄4θ²) N, where θ is in radians, is applied to the cord, determine the disk’s angular acceleration when it has turned 5 revolutions. The disc has an initial angular velocity [tex]\omega _o = 1 \ rad/s[/tex] and radius from the center of the disc = 300 mm
Answer:
the angular acceleration = 205.706 rad/sec²
Explanation:
GIVEN THAT:
The disc mass = 8 kg
Force = [tex]\dfrac{1}{4} \ \ \theta ^2* N[/tex]
We are told that the given θ is in radians; Therefore; the when it has turned 5 revolutions; we have the θ to be:
[tex]\theta = 5 rev * (\dfrac{2 \ \pi * rad}{1 rev}) \\ \\ \theta = 10 \ \pi \ rad[/tex]
Also;
the initial angular velocity [tex]\omega _o = 1 \ rad/s[/tex]
radius from the center of the disc = 300 mm = 0.3 m
Thus; the mass moment about the Inertia can be determined via the following expression;
[tex]I_o = \dfrac{1}{2}*m*r^2[/tex]
[tex]I_o = \dfrac{1}{2}*8*0.3^2[/tex]
[tex]I_o = 0.36 \ kg/m^3[/tex]
Now to calculate the angular acceleration; we equate the sum of the moments acting on the Inertia;
SO:
[tex]\sum M_o = I_o \alpha[/tex]
[tex]F*0.3 = 0.36* \alpha[/tex]
[tex]\dfrac{1}{2}* \theta^2 *0.3 = 0.36* \alpha[/tex]
[tex]\alpha = 0.20836 \ \theta^2 \ rad/sec^2[/tex]
[tex]\alpha = 0.20836 \ (10 \ \pi )^2 \ rad/sec^2[/tex]
[tex]\alpha = 205.706 \ rad/sec^2[/tex]
Hence; the angular acceleration = 205.706 rad/sec²
A cork weigh 2.5 gf in air. When tied to a sinker , the total weight is 20 gf in water. If the sinker alone weighs 25gf in water, find the density of the cork
Answer:
0.333
Explanation:
Weight of the sinker in water = 25gf
Weight of cork in air and sinker in water = 25gf + 2.5gf
= 27.5gf
Weight of the cork and sinker in water = 20gf
Loss of weight of cork in water = 27.5- 20 = 7.5gf
Rd of cork = weight of cork in air/ loss of weight of cork in water
= 2.5/7.5
= 1/3
= 0.333
Hence the Relative density of the cork is 0.333
Which of Galileo's theories drew fire from the Catholic Church and led to his
house arrest?
Answer:
imma have to come back to you on that one
Answer:
The Sun is at the center of the solar system and the planets move around it.
Explanation:pluto/edmentum
!! i will mark as brainliest !!
A student investigated how the resistance of a piece of nichrome wire varies with length. Describe how the student would obtain the data needed for the investigation.
the answer should include a risk assessment for one hazard in the investigation.
1) The length of the wire needs to be measured and varied (this is order to get a complete set of results for your experiment )2) Then go through each length of wire and measure the current and potential difference for each wire. (in order to calculate resistance later )3) repeat multiple times for each length of wire in order to create an average = sum/n (if need be explain difference between accuracy and precision).4)calculate resistance using equation resistance * current = Voltage for each length of wire
Hazards: Electric shock due to current , overheating wire can overheat , can be minimised by using low currents.
As the length of the nichrome wire will increase then the resistance in the wire will also increase and if the length of the nichrome wire will decrease then the resistance in the wire will also decrease because the resistance is directly proportional to the length of the wire.
What is Resistance?A force that opposes the flow of current is electrical resistance, often known as resistance to electricity. It acts as a gauge for how challenging it is for current to flow in this fashion. Ohms (Ω), which represent resistance values, are used.
Electricity will move from high to low when an electron difference exists between two terminals. This flow is opposed by resistance. Lower currents occur at higher resistance levels. The opposite is also true: the current increases as the resistance decreases.
As the length of the wire increase then the resistance increases automatically similarly if the length is reduced the resistance will also get reduced because length is directly proportional to the resistance in the wire. One more thing is that if the resistance in the wire increase then the heating in the wire will also increase and vice versa because resistance in the wire is directly proportional to the heating effect in the wire.
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Which of the following characterizes the particles in this diagram?
A. Two positive charges
B. One positive charge and one negative charge
C. Two negative charges
D. Two neutral charges
Answer:
B
Explanation:
One positive charger and one negative charger
Why did the Founding Fathers want to include a bill of rights in the U.S.
Constitution?
A. To ensure that the government couldn't take away the individual
rights of citizens
B. To provide future generations a way to amend, or change, the
Constitution
C. To allow states to write and approve their own state constitutions
D. To give state governments more power than the federal
government
Answer:
Its A
Explanation:
Thats because federalists wanted to take away rights. But the fathers wanted to definitely ensure that each person had equal rights and liberty.
Investigator Robbins is called to the scene of a robbery. The officer on the scene thinks that the suspect entered the home from the garage. As Investigator Robbins checks over the house, he does not find any evidence of forced entry. He cannot find any physical evidence near the garage door at all. There is a window open above the kitchen sink and footprints in the mud under the window outside. Based on his examination, what conclusion might Investigator Robbins make?
1. The officer was correct; the garage was the point of entry.
2. There is no evidence to indicate that anyone entered the home.
3. The officer's conclusion was mistaken, and a suspect may have entered through the window.
4. The garage was the point of entry, but the window was the escape route.
Answer:
3
Explanation:
Since the evidence found points to the window on investigation remember there was a foot print below the window as well as the window been opened.
explain why atmospheric pressure decreases towards higher altitudes
Answer:
At higher elevations, there are fewer air molecules above a given surface than a similar surface at lower levels. ... Since most of the atmosphere's molecules are held close to the earth's surface by the force of gravity, air pressure decreases rapidly at first, then more slowly at higher levels.
Explanation:
happy to help:)
a care starting from rest has an acceleration 0.3 m/s square, calculate the velocity and distance travelled by this car after 2 minutes?
Answer:
Final velocity (v) = 36 m/s
Distance traveled (s) = 2,160 m
Explanation:
Given:
Initial velocity (u) = 0
Acceleration (a) = 0.3 m/s
Time travel (t) = 2 minutes = 120 seconds
Find:
Final velocity (v) = ?
Distance traveled (s) = ?
Computation:
v = u + at
v = 0 + 0.3(120)
v = 0.3(120)
v = 36 m/s
Final velocity (v) = 36 m/s
Distance traveled (s) = ut + (1/2)at²
Distance traveled (s) = (0.5)(0.3 × 120 × 120)
Distance traveled (s) = 2,160 m
An injured monkey sits perched on a tree branch 9 m above the ground, while a wildlife veterinarian is kneeling down in the bushes 90.0 m away attempting to subdue the monkey with a tranquilizer gun. The vet knows that the moment the gun fires, the monkey will be frightened and fall down from the branch. At what angle up from the ground must the veterinarian aim the gun so that the tranquilizer dart will hit the falling monkey? Given the angle, what is minimum speed at which the tranquilizer dart must leave the gun to still hit the monkey?
Answer:
The hunter should aim directly at the perched monkey because the tranquilizer dart will fall away from the line sight at the same rate that the monkey falls from its perch.
Tan theta = 9 / 90 = .1 so theta = 5.71 deg
The time for the monkey to reach the ground is
t = (2 h / g)^1/2 = (18 / 9.8)^1/2 = 1.36 sec
So the horizontal speed of the dart must be at least
Vx = 90 m / 1.36 sec = 66.4 m/s
Vx = V cos theta
V = 66.4 m/s / cos 5.71 = 66.7 m/s
The angle of projection of the tranquilizer dart is 5.7⁰
The horizontal speed of the tranquilizer dart is 66.5 m/s
The given parameters;
vertical position of the monkey, y = 9 mhorizontal position of the veterinarian, x = 90The angle of projection of the tranquilizer dart is calculated as;
[tex]tan(\theta) = \frac{y}{x} \\\\tan(\theta) = \frac{9}{90} \\\\tan(\theta) = 0.1\\\\\theta = tan^{-1}(0.1)\\\\\theta = 5.71 ^0[/tex]
The speed of the tranquilizer dart is calculated as;
X = v₀ₓt
where;
t is the time to reach maximum height
X is the horizontal displacement = 90 m
The time to reach maximum height is calculated as;
[tex]h = v_0_yt + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 9}{9.8} } \\\\t = 1.36 \ s[/tex]
The horizontal speed of the tranquilizer dart is calculated as;
[tex]X = v_0cos(\theta) \times t\\\\90 = v_0\times cos(5.71) \times 1.36\\\\90 = 1.353 v_0\\\\v_0= \frac{90}{1.353} \\\\v_0 = 66.5 \ m/s[/tex]
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