A car moving at 46 km/h skids 15 m with locked brakes. The distance travelled by the car when it skids is 94.74 m.
What is the acceleration of the car?The acceleration of the car is calculated by applying the following kinematic equation.
v² = u² - 2as
where,
v is the final velocity of the car
u is the initial velocity of the car
a is the acceleration of the car
s is the distance travelled by the car
when the car stops, the final velocity, v = 0
0 = u² - 2as
2as = u²
a = u²/2s
where,
u = 46 km/h = 12.7 m/s
a = (12.7²) / (2 x 15)
a = 5.37 m/s²
When the speed of the car changes from 42 km/h to 126 km/h, the distance travelled by the car at the same acceleration is calculated as follows;
s = u²/2a
where,
u = 115 km/h = 31.9 m/s
s = (31.9²) / ( 2 x 5.37)
s = 94.74 m
The distance travelled by the car when it skids is 94.74 m.
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when you drive through deep water, you should dry out your brakes by driving slowly in low gear and apply your brakes lightly. a. true b. false check answers
It is true when you drive through deep water, you should dry out your brakes by driving slowly in low gear
When water surges over a road it can cover up dips, debris, and streets that have been washed away totally. It’s not the street you know no matter how numerous times you’ve driven it. Six inches of water is sufficient to hit the foot of most passenger cars, flooding the exhaust and clearing out you're immobile. Drive in low gear to protect the car. On the off chance that you’re driving an automatic vehicle, keep the speed low enough to remain in, to begin with, or second gear. Keep your foot on the gas and utilize the brake to direct speed. to dry Your Brakes Once you get through the water you don’t need to turn out. You'll dry your brakes after moving through water by braking gently while driving exceptionally slowly.
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In FIGURE 2, a block of mass m=2.5 kg slides heads on into a spring of spring constant k=320 N/m. When the block stops, it has compressed the spring by 7.5 cm. The coefficient of kinetic friction between block and floor is 0.25. While the block is in contact with the spring and being brought to rest, calculatea. the work done by the spring force.b. the increase in thermal energy of the block-floor system.c. What is the block's speed just as it reaches the spring?
(a)
The work done by the spring force can be calculated with the formula below:
[tex]W=\frac{1}{2}kx^2[/tex]Using k = 320 N/m and x = 0.075 m, we have:
[tex]\begin{gathered} W=\frac{1}{2}\cdot320\cdot0.075^2\\ \\ W=0.9\text{ J} \end{gathered}[/tex](b)
The increase in thermal energy is given by the work done by the friction force.
To calculate this work, first let's find the friction force:
[tex]\begin{gathered} F_{friction}=F_{normal}\cdot\mu\\ \\ F_{friction}=m\cdot g\cdot\mu\\ \\ F_{friction}=2.5\cdot9.8\cdot0.25\\ \\ F_{friction}=6.125\text{ N} \end{gathered}[/tex]Now, calculating the work, we have:
[tex]\begin{gathered} W=F\cdot d\\ \\ W=6.125\cdot0.075\\ \\ W=0.46\text{ J} \end{gathered}[/tex](c)
The block speed can be found by converting the potential energy from the spring (same value of the calculated work in item a) into kinetic energy for the block:
[tex]\begin{gathered} PE=KE\\ \\ 0.9=\frac{mv^2}{2}\\ \\ mv^2=1.8\\ \\ 2.5v^2=1.8\\ \\ v^2=\frac{1.8}{2.5}\\ \\ v^2=0.72\\ \\ v=0.8485\text{ m/s} \end{gathered}[/tex]When can the normal force of an object have the same value as the force of weight? Explain.
Answer:
at rest
Explanation:
at rest
If the object is at rest, net force on the object is equal to zero; therefore, the downward force (weight) must be equal to the upward force (normal force).
as the temperature of a gas increases . (select all the options that complete this sentence correctly.) multiple select question. the average kinetic energy of the gas particles increases the speed of individual gas particles increases but the average speed remains the same the distribution of the speeds of the gas particles narrows the average speed of a gas particle increases
As the temperature of a gas increases.
The average kinetic energy of the gas particles increase. The average speed of a gas particle increases.
Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measured with a thermometer.
Thermometers are calibrated in various temperature scales that traditionally have trusted diverse reference points and thermometric substances for definition. The most common scales are the Celsius scale with the unit image °C (formerly known as centigrade), the Fahrenheit scale (°F), and the Kelvin scale (k), the latter getting used predominantly for scientific purposes. The kelvin is one of the seven base units within the worldwide device of gadgets (SI).
Absolute 0, i.e. zero kelvin or −273.15 °C, is the bottom factor in the thermodynamic temperature scale. Experimentally, it could be approached simplest very intently, however not truly reached, as identified in the 1/3 law of thermodynamics. it might be impossible to extract strength as warmth from a frame at that temperature.
Temperature is vital in all fields of natural technology, along with physics, chemistry, Earth technology, astronomy, medicinal drug, biology, ecology, cloth technological know-how, metallurgy, mechanical engineering and geography as well as most aspects of daily life.
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A platinum resistance thermometer has a resistance of 10.40 ohms at00 C and 14.35 ohms at 100 C. Assuming that the resistance changesuniformly with temperature, what is(a) The temperature when the resistance is 11.19 ohms?(b) The resistance of the thermometer when the temperature is 45 C?
(a) 0.05 ° C
(b) 12.17 ohms
Explanation
Assuming that the resistance changes uniformly with temperature we can set the equation of the line
so
Step 1
find the equation of the line:
the equation of a line has the form:
[tex]\begin{gathered} y=mx+b \\ where\text{ m is the slope} \\ b\text{ is the y-intercept} \end{gathered}[/tex]to do that, we need 2 points from the line, so let
x represents the temperature
y represents resistance
[tex]\begin{gathered} P1(0,10.40) \\ P2(100,14.35) \end{gathered}[/tex]now, to find the slope of a line we need to use the expression
[tex]\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ where \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}[/tex]then, replace the values in the formula
[tex]slope=\frac{14.35-10.4}{100-0}=\frac{3.95}{100}=0.0395[/tex]so, the slope is 0.0395
b) now, use the slope point formula to find the equation of the line
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ where\text{ m is the slope and P1\lparen x}_1,y_1) \\ replace \\ y-10.4=0.0395(x-0) \\ y=0.0395x+10.4 \end{gathered}[/tex]so, the equation of the lines is
y=0.0395x+10.4
Step 2
Now, we can use the equation to find the asked values
(a) The temperature when the resistance is 11.19 ohms?
let
[tex]\begin{gathered} resistance\text{ = 11.19,so y=11.19} \\ replace\text{ in the equation and solve for x} \\ y=0.0395x+10.4 \\ 11.19=0.0395x+10.4 \\ 11.19-10.4=0.0395x \\ 0.79=0.0395x \\ x=\frac{0.0395}{0.79}=0.05 \end{gathered}[/tex]therefore
(a) 0.05 ° C
Step 3
(b) The resistance of the thermometer when the temperature is 45 C?
let
[tex]tempereature\text{ = x= 45 C}[/tex]now, replace in the expression to find the resistance
[tex]\begin{gathered} y=0.0395x+10.4 \\ y=0.0395(45)+10.4 \\ y=12.17 \end{gathered}[/tex]therefore,
(b) 12.17 ohms
I hope this helps you
Determine the fans airflow in m^3/s.Fan has an airflow of about 1.55x10^3 ft^3/minMeaning that about 1.55x10^3 cubic feet of air move over the fan blades each minute
ANSWER:
0.732 m^3/s
STEP-BY-STEP EXPLANATION:
We must convert from ft^3/min to m^3/s.
To do this, we must take into account the following conversion factors:
1 meter is equal to 3.28 feet
1 minute is equal to 60 seconds
Knowing this, we do the conversion just like this:
[tex]1.55*10^3\frac{ft^3}{min}\cdot\left(\frac{1\text{ m}}{3.28\text{ ft}}\right)^3\cdot\frac{1\text{ min}}{60\text{ s}}=0.732\text{ m}^3\text{/s}[/tex]The fans airflow in m^3/s is 0.732
The velocity of a ball about the elbow joint is 30.0rad/s and the ball is 1.30 m from the elbow joint what is he velocity of the ball
Answer:
39.0 meters per second
Explanation:
So the linear speed of the ball then is that distance from the pivot to the ball times by the angular speed. So this is 1.30 meters times 30.0 radians per second which is 39.0 meters per second.
A 0.400kg ball is dropped from a height of 3.00m onto a spring with a spring constant of 600.N/m. How much does the spring compress if the ball comes to a stop.0.313m0.098m0.0392m0.198m
Given data
*The given mass of the ball is m = 0.400 kg
*The given height is h = 3.00 m
*The given spring constant is k = 600.0 N/m
*The value for the acceleration due to the gravity is
[tex]g=9.8\text{ m/s\textasciicircum{}2}[/tex]The expression for the spring compresses at a distance is given by the conservation of energy as
[tex]\begin{gathered} U_s=U_p \\ \text{mgh}=\frac{1}{2}kx^2 \\ x=\sqrt[]{\frac{2mgh}{k}} \end{gathered}[/tex]Substitute the values in the above expression as
[tex]\begin{gathered} x=\sqrt[]{\frac{2\times0.400\times9.8\times3.00}{600.0}} \\ =0.198\text{ m} \end{gathered}[/tex]Grant sprints 50 m to the right with an average velocity of 3.0m/s
How many seconds did Grant sprint?
Grant sprinted for 16.67 seconds when his average speed was 3.0 m/s.
With an average speed of 3.0 m/s, Grant sprints 50 meters to the right.
So, the distance covered (s) = 50 m
Average speed (v) = 3.0 m/s
Now,
The formula for evaluating the time(t) is given by,
[tex]t = \frac{s}{v}[/tex]
Now, Putting all the values in the formula to evaluate time, we get:
[tex]t = \frac{50}{3} = 16.67[/tex]
Hence, Grant sprinted for 16.67 seconds.
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A golf club exerts an average force of 33 kN on a ball of mass 0,06 kg. if the golf club is in contact with the golf ball for 5x10-4
'seconds,
calculate:
a) the change in the momentum of the golf ball.
b) the speed of the golf ball as it leaves the ciub.
(a) The change in momentum of the golf ball 0f mass 0.06 kg is
16.5 Ns.
(b) The Speed of the golf ball as it leaves the club is 275 m/s.
What is change in momentum?Change in momentum is the product of mass and change in velocity of a body.
(a) To calculate the change momentum of the golf ball, we use the formula below.
Formula:
ΔM = Ft............ Equation 1Where:
ΔM = Change in momentumF = Forcet = TimeFrom the question,
Given:
F = 33 kN = 33000 Nt = 5×10⁻⁴ sSubstitute these values into equation 1
ΔM = 33000×5×10⁻⁴ ΔM = 16.5 Ns(b) Also, to calculate the speed of the golf as it leaves the club we use the formula below.
Formula:
v = ΔM/m (When the club was at rest)............... Equation 2Where:
v = Speed of the golf as it leaves the clubm = Mass of the golfFrom the question,
Also given:
m = 0.06 kgSubstitute into equation 2
v = 16.5/0.06v = 275 m/s.Hence, The change in momentum and speed of the golf are 16.5 Ns and 275 m/s respectively.
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Johnathan weighs 650N on Earth. What would his weight be if he was on Jupiter, which has a gravity of 24.8 m/s^2?
How do wings help a plane to fly?
ANSWER
EXPLANATION
We want to find out how wings help a plane to fly.
The wings of an airplane are there to help lift the plane. They are shaped to make air move faster over the wings.
They are used for lifting, landing, turning and controlling the airplane. The curve on the wings make the air move faster than the air at the bottom of the wings which appropriates Bernoulli's principle to push the plane into the air.
A bus goes 500km east from town A to town B in the morning and comes back halfway in the evening travelling west. What is the distance and displacement of the bus?
Given:
Distance the bus goes from town A to town B = 500 km east
Given that the bus comes back halfway in the evening travelling west, let's find the distance and the displacement of the bus.
• To find the distance of the bus, we have:
[tex]\begin{gathered} d=500+(\frac{500}{2}) \\ \\ d=500+250 \\ \\ d=750\operatorname{km} \end{gathered}[/tex]Therefore, the distance the bus covered is 750 km
• To find the displacement, we have:
[tex]\begin{gathered} Displacement\text{ = 500 - (}\frac{500}{2}) \\ \\ \text{Displacement = 500 - 250} \\ \\ \text{Displacement = 250 km} \end{gathered}[/tex]Therefore, the displacement of the bus is 250 km east
ANSWER:
Distance = 750 km
Displacement = 250 km east
Two students in bumper cars want to prove conservation of momentum. They collide their bumper cars. The first bumper car has a mass of 120 kg and was moving with a velocity of 4 m/s before the collision and with a velocity of −2 m/s after the collision. The second bumper car has a mass of 90 kg and was moving at a velocity of −5 m/s before the collision. To prove conservation of momentum, what must the velocity of the second bumper car be after the collision?
A. 1.0 m/s
B. 2.7 m/s
C. 3.0 m/s
D. 2.3 m/s
The velocity of the second bumper car will be 3 m/s after the collision.
Given parameters:
Mass of the first bumper car; m = 120 kg.
Mass of the second bumper car; M = 90 kg.
Before collision velocity of first bumper car; u = 4 m/s.
Before collision velocity of second bumper car; U = -5 m/s.
After collision velocity of first bumper car; v = -2 m/s.
After collision velocity of second bumper ; V= ?
From principle of conservation of momentum,
Total momentum before collision = Total momentum after collision
⇒ 120 × 4 + 90 × (-5) = 120 × (-2) + 90 × V
⇒ 90 × v = 270
⇒ v = 3 m/s.
The velocity of the second bumper car must be 3 m/s after the collision.
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a 138 kg refrigerator, 2.00 m tall and 87.0 cm wide, has its center of mass at its geometrical center. you are attempting to slide it along the floor by pushing horizontally on the side of the refrigerator. the coefficient of static friction between the floor and the refrigerator is 0.550. depending on where you push, the refrigerator may start to tip over before it starts to slide along the floor. what is the highest distance above the floor that you can push the refrigerator so that it won't tip before it begins to slide?
The highest distance above the floor that you can push the refrigerator so that it won't tip before it begins to slide is 0.79 m
What is torque?Torque is known to be the rotational equivalent of a linear force. In some fields of study, it is also called moment, moment of force, rotational force, or rotational effect. It describes the ability of a force to effect a change in the rotational motion of an object.
For the given case:
F = μmg
F = frictional resistance
μ = coefficient of static friction (0.55)
m = 138 kg
g = 9.8 m/s²
F = 0.55 × 138 × 9.8
F = 743.82 N
Take the refrigerator's mid-size weight halfway to the floor,
i.e. 0.87/2 = 0.435 m
d = 0.435 m
The torque around the bottom of the refrigerator should be zero to reach the maximum range. So,
F × x = mg × d
x = ( mg × d)/ μmg
x = d/μ
x = 0.435/0.55
x = 0.79 m
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Platform diving in the olympic games takes place at two heights: 5 meters and 10 meters. A. What is the velocity of a diver entering the water from each platform if he steps off the platform initially?.
The velocity of a diver entering the water from each platform is 14.1 m/s and 10 m/s respectively.
The speed of the compound when dropped from a height H, it will have a velocity V at the bottom which is given by the relation,
V = √(2gH)
Where,
g is the acceleration due to gravity.
The height of the diver in the Olympic game is 5m and 10m.
So, putting the values in the above relation and finding the values of the speed of diver when it enters into water is,
V₁ = √(2x10x10) and V₂ = √(2x5x10)
V₁ = 14.1 m/s
V₂ = 10 m/s.
The speed of the each diver entering water is 14.1 m/s and 10m/s respectively.
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Show that average speed of a rabbit that runs 30m in 2s is 15m/s
The rabbit's average speed is 15m/s because the formula for calculating average speed is Distance divided by time.
What is the average speed?
The average speed of an object can be defined as the total distance traveled by it in a particular interval of time. this can be determined by dividing the total distance moved by the object by the time taken to move.
It is the ratio of the distance the rabbit travels in m and the time taken by the object to travel in seconds.
Hence: Distance D=30m
Time, T=2s
Average Speed S=ΔD/ΔT
S=30m/2s
S=15m/s
Therefore rabbit's Average speed is 15m/s
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3 paragraphs about who Larry page was and what advancements he provided to the world
Larry Page, real name Lawrence Edward Page, is a computer scientist and entrepreneur from the United States who co-founded Goo-gle, one of the most well-known websites on the Internet, with Sergey Brin on March 26, 1973 in East Lansing, Michigan.
Larry Page was drawn to technology at a young age and worked toward his goals. His success is truly inspirational. In the dorms of their college, he and Sergey Brin founded Goo-gle and grew it into a multinational corporation. Working hard is the secret to success.The concept of deciphering the vast amount of data amassing on the Internet interested Brin and Page, who first met while graduate students at Stanford University. They started developing Backrub, an innovative form of search technology, from Page's dorm room at Stanford. a week ago.To know more about Larry Page
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if the marble bounces straight upward to a height of 0.64 m , what is the magnitude of the impulse delivered to the marble by the floor? express your answer to two significant figures and include the appropriate units.
If a 15-g marble is dropped from rest onto the floor 1.4 m below and the marble bounces straight upward to a height of 0.64 m, the magnitude of the impulse delivered to the marble by the floor is 0.312 N s
v² = u² + 2 a s
v = Final velocity
u = Initial velocity
a = Acceleration
s = Distance
During downward motion,
s = - 1.4 m
a = 9.8 m / s²
u = 0 ( Since it is dropped and not thrown )
v² = 0 + ( 2 * 9.8 * - 1.4 )
- v² = 27.44
v = - 5.24 m / s
During upward motion,
s = 0.64 m
a = - 9.8 m / s
v = 0
- u² = 0 + ( 2 * - 9.8 * 0.64 )
u² = 12.544
u = 3.54 m / s
u = 3.54 m / s
J = m Δv
J = Impulse
m = Mass
Δv = Change in velocity
Δv = Initial velocity of upward motion - Final velocity of downward motion
Δv = 3.54 - ( - 5.24 )
Δv = 8.78 m / s
m = 15 g = 0.015 kg
J = 0.015 * 8.78
J = 0.312 N s
Therefore, the impulse delivered to the marble by the floor is 0.312 N s
The given question is incomplete. The complete question is:
A 15-g marble is dropped from rest onto the floor 1.4 m below. If the marble bounces straight upward to a height of 0.64 m, what is the magnitude of the impulse delivered to the marble by the floor?
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Light of frequency 3.62 x 10^15 Hz strikes a surface of copper (W0=4.70 eV). How much kinetic energy does the liberated electron have in eV?
From the equation of photoelectric effect, the kinetic energy is 10.2 eV.
What is the kinetic energy?According to the Einstein photoelectric equation, we know that the kinetic energy is the difference between the energy of the incident photon and the work function of the metal.
KE = E - Wo
KE = kinetic energy
E = energy of the photon
Wo = work function
Thus;
E = hf
h = Plank's constant
f = frequency
E = 6.6 * 10^-34 * 3.62 x 10^15
= 2.39 * 10^-18 J or 14.9 eV
Thus we have;
KE = 14.9 eV - 4.70 eV
KE = 10.2 eV
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Answer:
10.2 eV
Explanation:
there's no need for an explanation
Rate of change of distance
Answer:
Speed
Explanation:
Speed is called as rate of change of distance, speed is a scalar quantity.
4.82 the variable resistor in the circuit in fig. p4.82 is adjusted for maximum power transfer to ro. a) find the value of ro. b) find the maximum power that can be deleivered to ro.
Answer:
u don't know this one but try a not for sure
The more gallons of milk I have, the more cups milk I can pour what’s the independent and dependent variable?
Answer: I think the independent variable is the gallons of milk. and the dependent variable is the amount of milk you can pour.
(The more gallons of milk you have is the thing that changes the whole outcome, which is the amount of milk that can be poured out)
A 50 kg child is on a carnival ride with a radius of 5 meters. If the ride spins at a velocity of 5
m/s, what is the centripetal force on the child?
Explanation:
Find a force is F=mv^2/r, so F=50*5^2/5 = 250N
what is the magnetic field amplitude b0b0 of an electromagnetic wave that has an electric field amplitude e0e0e 0 of 0.465 v/mv/m ?
An electromagnetic wave with an electric field amplitude E0 of 0.165V/m has a magnetic field amplitude b0 of 5.5 × [tex]10^{-10}[/tex]T.
What is electromagnetic?In terms of physics, electromagnetic radiation is made up of electromagnetic field waves that move over space while carrying radiant energy. It is made up of radio waves, microwaves, infrared, light, and X and gamma rays. The electromagnetic spectrum includes all of these wavelengths.Radio waves, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma rays are all examples of electromagnetic waves. The smallest energy, frequency, and wavelength are found in radio waves. The highest energy, frequency, and shortest wavelength are found in gamma rays.How to calculate the magnetic field amplitude Bo?Speed of light / Electric field amplitude (Eo) = magnetic field amplitude (Bo)
where C = 3 × [tex]10^{8}[/tex] m/s
Bo = 0.165 / 3 × [tex]10^{8}[/tex]
Bo = 5.5 × [tex]10^{-10}[/tex]T (magnetic field amplitude)
The complete question is:
what is the magnetic field amplitude b0b0 of an electromagnetic wave that has an electric field amplitude e0e0e 0 of 0.165 v/mv/m ? express your answer with the appropriate units.
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If an irregularly shaped object (such as a wrench) is dropped from rest in a classroom and feels no air resistance, it will.
The correct answer is option E.
If an irregularly shaped object (such as a wrench) is dropped from rest in a classroom and feels no air resistance, it will accelerate but will not spin.
In the absence of air resistance the object will accelerate but will not spin, it is because if there is no air resistance then same amount of force is applied on every part of the object. When all forces are same in all directions then it means net force is zero.
Moreover, the force is being applied in downward direction having same magnitude which leads to the fact that net force is zero.
Thus, the object will not spin as all forces cancel their effect. However, the object will accelerate due to force of gravity.
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The complete question is:
If an irregularly shaped object (such as a wrench) is dropped from rest in a classroom and feels no air resistance, it will:
A) accelerate and turn about its center of gravity with uniform angular acceleration.
B) accelerate and spin until its center of gravity reaches its highest point.
C) accelerate and turn until its center of gravity reaches its lowest point.
D) accelerate and turn about its center of gravity with uniform angular speed.
E) accelerate but will not spin.
20. There is a bell at the top of a tower that is 45 m high. The bell weighs 19 kg. The bell has
energy. Calculate it.
Explanation:
Find an energy is E =mgh, so E = 45*10*19=8550j
A ball is dropped from the top of a cliff. By the time it reaches the ground, all the energy in its gravitational potential energy store has been transferred into its kinetic energy store. If the ball is travelling at 20 m/s when it hits the ground, what height was it dropped from? (Assume that the gravitational field strength is 10 N/kg
Answer:
h = 20 meters
Explanation:
Comment
Comment
The total energy (potential energy) it has at the top of the cliff has a formula of PE = mgh. The KE at the top is zero.
The Kinetic Energy at the bottom is 1/2 m v^2 The PE at the bottom is 0.
Givens
g = 10 N/kg
vf = 20 m/s
h = ?
Formula
mgh = 1/2 m v^2 Its the same energy at the top as at the bottom. It just has exchanged Potential Energy to Kinetic Energy. Cancel the ms
mgh/m = 1/2 m v^2 / m
gh = 1/2 v^2 Multiply by 2
2gh = v^2 Put in the given values
2*10 * h = 20^2 Simplify
20h = 400
h = 400/20
h = 20 meters.
a motorcycle traveling 100m/s drives off a horizontal ramp and lands a horizontal distance of 40m away from the edge of the ramp, what is the height of the ramp?
We will have the following:
First, we determine the time it takes for the motorcycle to traverse the 40 m:
[tex]40m=(100m/s)t\Rightarrow t=0.4s[/tex]Now, we will use the time to determine the height of the ramp:
[tex]\begin{gathered} d=(0m/s)(0.4s)+\frac{(9.8m/s^2)(0.4s)^2}{2}\Rightarrow d=\frac{98}{125}m \\ \\ \Rightarrow d=0.784m \end{gathered}[/tex]So, the ramp was located 0.784 meters in height.
Ethane, C2H6, reacts with oxygen to make carbon dioxide and water. The
equation can be written as: C2H6 + 02 → CO2 + H20. Using the equation,
what are the reactants?
CO2 + H20.
C2H6+02
C2H6
02 + H20
Answer:D is the answer
Explanation:yes