can someone explain it with steps?
A car was moving on a road at a constant speed of 15 m/s when suddenly the car driver saw some animal on the road at a distance of 21 m from the car, so he applied the brakes after a response time of 0.4 s and stopped before hitting the animal by 1 m. What was the deceleration of the car?
a-7.5 m/s^2
b-5.2 m/s^2
c-8.0 m/s^2
d-5.6 m/s^2
Answers
Answer:
Option C is the correct answer
Explanation:
Distance travelled by car during reaction time
\(=15\times0.4\\\\=6m\)
The car stopped before hitting the animal by \(1 m\)
Distance travelled during deceleration is \(21-6-1=14m\)
Hence by \(v^2=u^2+2as\)
We have
\(0^2=15^2+2 \cdot a \cdot 14\\\\a=\frac{-225}{28} \\\\=-8.03m/s^2\)
Option C is the correct answer
Distance traveled during reaction time
15(0.4)=6mTotal distance
21-6-1=14m\(\\ \sf\longmapsto v^2-u^2=2as\)
\(\\ \sf\longmapsto -(15)^2=2(14)a\)
\(\\ \sf\longmapsto -225=28a\)
\(\\ \sf\longmapsto a=-8.0m/s^2\)
Related Questions
a gyroscope slows from an initial rate of 28 rad/s at an angular acceleration of 0.54 rad/s2. how long does it take to come to rest in seconds?
Answers
The time taken by the gyroscope to come to rest is 51.85 seconds.
The initial rate of the gyroscope is 28 rad/s and the angular acceleration is 0.54 rad/s², it is required to stop the gyroscope.
So, we can use the this equation here,
W' = W + at
W' is the final rate of gyroscope,
W is the initial rate of gyroscope,
a is the angular acceleration,
t is the time taken by the gyroscope.
So, putting values,
0 = 28+(-0.54)t
t = 51.85 seconds.
So, it will take 51.85 seconds for the gyroscope to come to rest.
To know more about angular speed, visit,
https://brainly.com/question/6860269
#SPJ4
what does inertia mean?
Answers
a tendency of a body to do nothing or to remain unchanged.
Answer:
a tendency to do nothing or to remain unchanged.
Explanation:
This position-time graph describes an object's motion. Use it to predict the time
(in s) that the object will be at a position of 20.0 meters.
Help please!
Answers
Answer:
18.9 seconds
Explanation:
See the attached worksheet. Since the desired information is outside the range of the graph, develop the equation of the line that is drawn. From that equation [y = (9/10)x+3] the time required to travel 20 meters is foind to be 18.9 seconds.
a person has a mass of 45kg. how much does she weigh on the moon, where g=2m/s^2
Answers
Weight is the force experienced by an object due to gravity. It is calculated by multiplying the mass of the object by the acceleration due to gravity.
On the Moon, the acceleration due to gravity (g) is 2 m/s^2.
To calculate the weight of the person on the Moon, we can use the formula:
Weight = mass * acceleration due to gravity.
Given that the mass of the person is 45 kg and the acceleration due to gravity on the Moon is 2 m/s^2, we have:
Weight = 45 kg * 2 m/s^2.
Calculating this expression, we find:
Weight = 90 N.
Therefore, the person would weigh 90 Newtons on the Moon.
Hence, the weight of the person on the Moon is 90 Newtons.
Learn more about acceleration due to gravity here:
https://brainly.com/question/29135987
#SPJ11
Pedro has 72 m&m's. He gives 1/3
of his m&m's to Tomas. How many
m&m's does Pedro have leta
Answers
Answer:
Pedro has 24 M&M's left.
Explanation:
Divide 72 by 3 and you will get 24.
You and your friend are chosen to appear on a TV show where you dress up as sumo wrestlers and battle it out. In your gear, you have a mass of 156 kg, and your friend has a mass of 210 kg. Once the start bell is rung, you both charge at each other and collide near the center of the mat. According to the judges, you have a velocity of 3 m/s, and your friend had a velocity of 1.3 m/s. After the collision, you bounced back at a velocity of 3.8 m/s. What happened to your friend? Find his velocity and direction after the collision. (Assume you were moving in the positive direction before the collision.)
Answers
Your friend also bounced back with a velocity of 3.75 m/s.
What is the final velocity of your friend after collision?
The final velocity of your friend after the collision is calculated by applying the principle of conservation of linear momentum.
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where;
m is the massesu is the initial velocitiesv₁ is your final velocityv₂ is the final velocity of your friend( 156 x 3 ) + (210)(-1.3) = ( 156)(-3.8) + 210v₂
195 = -592.8 + 210v₂
210v₂ = 787.8
v₂ = 787.8 / 210
v₂ = 3.75 m/s
Learn more about linear momentum here: https://brainly.com/question/7538238
#SPJ1
An especially violent lightning bolt has an average current of 1.26 times 10^3 A lasting 0.138s. How much charge is delivered to the ground by the lightning bolt?
Answers
The amount of charge delivered to the ground by a lightning bolt is determined by the current and the time for which it flows. The current of a lightning bolt is typically around 1.26 x 10^3 A, and the duration of a lightning bolt is usually around 0.138s. To calculate the total charge delivered by a lightning bolt, you must use the equation Q = I x t where Q is the charge, I is the current, and t is the time.
In this case, the total charge delivered to the ground by the lightning bolt can be calculated as
Q = 1.26 x 10^3 A x 0.138s = 173.68 C.
This is the amount of charge that the lightning bolt delivers to the ground, with 173.68 C (Coulombs) being equal to one Ampere-second.
To conclude, a lightning bolt with an average current of 1.26 times 10^3 A lasting 0.138s will deliver a total of 173.68 C (Coulombs) of charge to the ground.
To know more about charges refer here:
https://brainly.com/question/3412043
#SPJ11
Calculate the average kinetic energy of the cup for the 100 mL and 400 mL masses.
show the work please
Answers
Answer:
169ml
Explanation:
For the velocity-time graph shown, which statement describes what happens to the velocity between approximately 24 s and 25 s?
A) The lander's velocity increases away from the reference.
B) The lander's velocity decreases toward the reference.
C) The lander's velocity decreases away from the reference.
D) The lander's velocity increases toward the reference.
Answers
The statement that describes what happens in the graph is option (B).
The lander's velocity decreases toward the reference.
What is velocity time graph?Velocity time graph is a type of graph that describes the change in velocity with respect to time of motion of an object.
Below is the basic explanation of the behavior of the average velocity of the particle with time.
initially at 10 seconds, the average velocity of the particle was constant.above 10 seconds, the average velocity of the particle increases with increase in time of motion.above 15 seconds, the increase in the average velocity with time decreased. between 20 and 25 seconds, there was a decrease in the average velocity from about - 5 m/s to about -15 m/s.Thus, we can conclude that between 20 and 25 seconds in the velocity tike graph, the average velocity of the object decreased towards the reference point (reference velocity = - 40 m/s.).
Learn more about average velocity here: https://brainly.com/question/24739297
#SPJ1
a voltage source is set at 36 volts. if you wanted to decrease the amount of current in a resistor from 120 amps to 80 amps by changing the voltage source, what should the new voltage setting be?
Answers
To decrease the amount of current in a resistor from 120 amps to 80 amps by changing the voltage source, the new voltage setting should be 24 volts. The relationship between voltage, current, and resistance is given by Ohm's law, which states that voltage (V) equals current (I) times resistance (R).V = IR
So, if the voltage source is set at 36 volts and the current through the resistor is 120 amps, we can find the resistance of the resistor using Ohm's law .R = V/IR = 36/120R = 0.3 ohms Now, if we want to decrease the current through the resistor to 80 amps, we can use the same formula to find the new voltage setting .V = IRV = 0.3 x 80V = 24 volts Therefore, the new voltage setting should be 24 volts to decrease the current through the resistor from 120 amps to 80 amps by changing the voltage source.
for such more questions on Ohm's law
https://brainly.com/question/14296509
#SPJ11
Paco was driving his scooter west with an initial velocity of 4 m/s. He accelerates at 0. 5 m/s2 for 30 seconds. What is his final velocity? 2 m/s 8 m/s 19 m/s 60 m/s.
Answers
Answer:
Final velocity = 19 m/s
Explanation:
Initial velocity (u) = 4 m/s
Acceleration (a) = 0.5 m/s²
Time (t) = 30 s
Final velocity (v) = ?
In this question, you must use the formula:
v = u + at
Substitute the values into the formula.
v = 4 + (0.5 × 30)
v = 4 + 15
v = 19 m/s
Tool
Scientists are searching for planets that orbit stars outside Earth's solar system by collecting data from different technology tools. A student lists a few tools and their cases that would provide clients
with information about these planets in a table, as shown
Use
spectroscope
gathers information about the
planets in any weather conditions
space probe
collects data from the planets that
would otherwise not be available
identifies different elements present
reflector telescope
around the planets
radio telescope produces images of the planets
Which tool is paired correctly with its intended use?
space probe
Opectroscope
radio telescope
reflector telescope
Answers
Answer:
9758 how many significant figures
I NEED HELP ANSWER FAST WILL GIVE BRAINLY!!!!!!!
knowing the atomic number will also tell you what about an atom?
Answers
Answer:
the number of protons.
Explanation:
the atomic number is the number of protons in the nucleus of an atom. the number of protons Define the identity of an element.
Two skaters A and B. having masses 50 kg and
70 kg respectively, stand facing each other 6 m
apart on a horizontal smooth surface. They pull
on a rope stretched between them. How far does
each move before they meet?
(A) both move 3 m
(B) A moves 2.5 m and B moves 3.5 m
(C) A moves 3.5 m and B moves 2.5 m
(D) both move 4 m
(E) none of the above
Answers
Answer:
Explanation:
Hell im good dude
a container that is a pressure tank, has a convex head, possesses a capacity of approximately 2,000 pounds (907 kg), and commonly contains chlorine is an example of a(n):
Answers
The pressure tank is an essential component of many industrial processes, allowing for the safe and reliable storage of fluids and gases under high pressure.
A pressure tank is a container designed to store fluids and gases under high pressure. This type of container has a convex head, which means that the head of the container curves outward, allowing for more storage capacity. The container can store around 2,000 pounds (907 kg) of fluid or gas under high pressure, and is commonly used to store chlorine, which is a corrosive gas that can cause damage to other materials. The pressure tank is an example of a storage container that is designed to hold substances under high pressure.
These types of containers are typically used in industrial applications, such as chemical manufacturing, oil and gas production, and other high-pressure applications. The pressure tank is a reliable and durable container that is designed to withstand extreme conditions and protect the stored materials from contamination or damage. Pressure tanks are commonly used in the chemical industry to store and transport hazardous chemicals. They are also used in the oil and gas industry to store and transport natural gas and other gases. These containers are carefully designed to meet strict safety standards and regulations, ensuring that they are safe for use in various industrial applications.
For more question pressure tank
https://brainly.com/question/30483278
#SPJ8
Q3) Find the heat energy required to increase the temperature of 3.5 kg of steel from 500 °C to 600 °C.
Answers
Answer:
157.5 KJ
Explanation:of
Specific heat capacity of steel is 450 J/ kg-°C.
So to raise temperature of 3.5 kg of steel from 500°C to 600°C is
= ( 450 * 3.5 * ( 600-500 ) )
= 157500
Newton's 3rd Law of Motion
For every__________ (or force), there is an ____________ and __________ action (or force).
Answers
Answer:
Explanation:
For every action (or force), there is an equal and opposite action (or force).
A man fires a shot while in a deep canyon with parallel cliff walls. The temperature in the canyon is 27.0°C. If the echo from one wall is heard in 1.50 seconds, and the echo from the other wall is heard 1.00 second later, how wide is the canyon?
Answers
The canyon is approximately 258 meters wide.
What is the width of the canyon?The speed of sound in air depends on the temperature, and we can use the formula:
v = 331.4 + 0.6T
where;
v is the speed of sound in meters per second, and T is the temperature in Celsius. At a temperature of 27.0°C,The speed of sound is:
v = 331.4 + 0.6(27.0)
v = 343.8 m/s
Let's call the distance to one wall "d". When the man fires the shot, the sound travels to the wall, reflects, and returns to the man.
The total distance traveled is 2d. The time it takes for the sound to travel this distance is:
t = 2d/v
Similarly, for the other wall, the total distance traveled is 2(D - d)
where;
D is the width of the canyon.The time it takes for the sound to travel this distance is:
t + 1.00 = 2(D - d)/v
We can solve these equations for d and D:
d = vt/2
D = (v/2)(t + 1.00)
Substituting in the values we have:
d = (343.8 m/s)(1.50 s)/2 = 257.85 m
D = (343.8 m/s/2)(1.50 s + 1.00 s) = 515.70 m
Therefore, the width of the canyon is:
D - d = 515.70 m - 257.85 m = 257.85 m
Learn more about canyon here: https://brainly.com/question/29677875
#SPJ1
2. A cat chases a mouse across a 1.0 m high table. The mouse steps out of the way, and the cat slides off the table at a
speed of 5.0 m/s.
a. How long will it take the cat to hit the floor?
b. How far from the base of the table will the cat land?
Answers
Answer:
Below
Explanation:
Here is what we are given in the problem :
dy = - 1.0 m (this is negative because the cat falls)
Vx = 5.0 m/s
We can use this equation to find the time that it will take the cat to fall :
t = √-2dy / g
t = √-2(-1.0) / 9.8
t = √0.20408
t = 0.45 (round this to 2 sig figs)
t = 0.5 seconds
Now we can find dx (distance in the x direction)
dx = vx (t)
dx = (5.0m/s)(0.45s)
dx = 2.258769 m
dx = 2.3 m
Hope this helps! Best of luck <3
You attend a football game one day and notice a long time difference between when the other side of the stadium stands up to cheer and when you hear them. This time difference would be lessened if
A) it were warmer.
B) it were less humid.
C) it were located at a higher altitude.
D) the fans on the opposite side shouted louder.
Answers
Answer: C it was located at a higher altitude
Explanation:
none of the other ones make any sense so it definitely c
A 160 Ω resistor, a 0.120 μF capacitor, and a 300 mH inductor are connected in series to a voltage source with amplitude 240 V .
What is the resonance angular frequency?
What is the maximum current in the resistor at resonance?
What is the maximum voltage across the capacitor at resonance?
What is the maximum voltage across the inductor at resonance?
What is the maximum energy stored in the capacitor at resonance?
What is the maximum energy stored in the inductor at resonance?
Answers
the maximum energy stored in the capacitor at resonance is 64.94 J, while the maximum energy stored in the inductor at resonance is 0.3375 J. Note that the energy stored in the capacitor is much larger than the energy stored in the inductor, which is typical for series RLC circuits at resonance.
To find the resonance angular frequency, we can use the formula:
ω = 1/√(LC)
where L is the inductance in henries, and C is the capacitance in farads.
Plugging in the given values, we get:
ω = 1/√(0.0003 * 0.00012) = 963.96 rad/s
To find the maximum current in the resistor at resonance, we can use the formula:
I = V/Z
where V is the amplitude of the voltage source, and Z is the impedance of the circuit at resonance. At resonance, the impedance of the circuit is equal to the resistance of the resistor, which is 160 Ω. Thus, we have:
I = 240 V / 160 Ω = 1.5 A
To find the maximum voltage across the capacitor at resonance, we can use the formula:
Vc = IXc
where I is the maximum current in the circuit at resonance, and Xc is the reactance of the capacitor at resonance. At resonance, the reactance of the capacitor is equal to the reactance of the inductor, which is given by:
XL = ωL = 0.96396 * 0.3 = 0.2892 Ω
Thus, the reactance of the capacitor is:
Xc = 1/(ωC) = 1/(0.96396 * 0.00012) = 693.46 Ω
Therefore, we have:
Vc = 1.5 A * 693.46 Ω = 1040.2 V
To find the maximum voltage across the inductor at resonance, we can use the same formula as for the capacitor, but with the reactance of the inductor instead:
Vl = IXl
where Xl is the reactance of the inductor at resonance, which is also equal to 0.2892 Ω. Thus, we have:
Vl = 1.5 A * 0.2892 Ω = 0.4338 V
To find the maximum energy stored in the capacitor at resonance, we can use the formula:
Emax = 1/2 * C * Vc^2
Plugging in the values, we get:
Emax = 1/2 * 0.00012 * (1040.2)^2 = 64.94 J
To find the maximum energy stored in the inductor at resonance, we can use the formula:
Emax = 1/2 * L * I^2
Plugging in the values, we get:
Emax = 1/2 * 0.3 * (1.5)^2 = 0.3375 J
Therefore, the maximum energy stored in the capacitor at resonance is 64.94 J, while the maximum energy stored in the inductor at resonance is 0.3375 J. Note that the energy stored in the capacitor is much larger than the energy stored in the inductor, which is typical for series RLC circuits at resonance.
Visit to know more about Capacitor:-
https://brainly.com/question/21851402
#SPJ11
if you have two moons that have the same radius, but moon a is denser and has 2 times the mass of moon b, how do their escape velocities compare?
Answers
Therefore, the escape velocity of Moon A is √(2) times greater than that of Moon B, despite having the same radius.
How to find escape velocity?The escape velocity of a celestial body is the minimum speed required for an object to escape its gravitational pull and move away from it indefinitely.
The formula for escape velocity is:
v = √((2GM)/r)
where:
v is the escape velocity
G is the gravitational constant
M is the mass of the celestial body
r is the radius of the celestial body
In this case, Moon A has twice the mass of Moon B but the same radius. Therefore, we can calculate the escape velocity of each moon using the formula above and comparing the results.
Let's assume that Moon A has a mass of 2M and a radius of R, and Moon B has a mass of M and the same radius of R.
For Moon A, the escape velocity would be:
vA = √((2G*2M)/(R))
For Moon B, the escape velocity would be:
vB = √((2G*M)/(R))
To compare the two escape velocities, we can simplify the equations by dividing the first equation by 2, since Moon A has twice the mass of Moon B:
vA = √((G*2M)/(R))
= √(2)*√((GM)/R)
Now we can see that the ratio of the escape velocities is:
vA/vB = (√(2)*√((GM)/R))/√((2GM)/R)
= √(2)
Therefore, the escape velocity of Moon A is √(2) times greater than that of Moon B, despite having the same radius.
To know more about escape velocity visit-
brainly.com/question/14297933
#SPJ4
I know that the answer is 20, but I don’t know if it’s B or D. Please help
No links
Answers
Answer:
d makes the most sense sorry if it is wrong
What led to Henry Ford’s success as an entrepreneur?
His personal wealth.
His innovative production methods.
His commitment to improving labor laws.
What happens when volcanoes release greenhouse gases into the atmosphere?
The climate gets warmer.
The climate gets cooler.
Winter becomes longer.
Summer becomes longer.
His desire to pay high wages.
Answers
What led to Henry Ford’s success as an entrepreneur?
His innovative production methodsWhat happens when volcanoes release greenhouse gases into the atmosphere?
The climate gets warmerBased on the image above, how would planting trees affect the carbon cycle?
Answers
Answer:
The trees would remove more carbon from the atmosphere.
Explanation:
I just completed the test, and got a 100%.
Do you think the plan for the skyscraper in California is appropriate based on its location? Why or why not? Your answer should include at least three complete sentences. (plz write out answer) (this is about earth quakes)
Answers
Answer:
No
Explanation:
No because like my other answer if we put to many diesels on it it will crack and little by little it will break eventually everyone will come tumbling into the water making them drown because they can't get the buckles loose or they wanted to save their families lives
Study the image. the wind belts. the earth is shown with points 1 through 4. 1: winds in middle latitudes that originate from high pressure. 2: near the equator, air circulates in an upward direction. 3: subtropical regions with calm winds. 4: winds near poles that blow toward the low pressure areas of the westerlies. which point shows the prevailing westerlies? 1 2 3 4
Answers
The point that shows the prevailing westerlies is the wind belt labelled with 1.
What is prevailing westerlies?Prevailing westerlies is the average or normal westerly winds of the middle latitudes.
From the given image of wind belts, 1 represents winds in middle latitudes that originate from high pressure.
Thus, the point that shows the prevailing westerlies is the wind belt labelled with 1.
Learn more about wind belt here: https://brainly.com/question/392723
#SPJ4
Answer:
A. 1
Explanation:
An electromagnetic wave has a frequency of 1.0 < 1014 Hz. What is the
wavelength of the wave? Use the equation 1 = and the speed of light as
V
f
3.0 x 108 m/s.
O A. 3.3 x 10-8 m
B. 3.0 x 1022 m
C. 3.3 x 105 m
0
D. 3.0 x 10-6 m
Answers
Answer:
D. 3.0 × 10^-6 m
Explanation:
Wavelength is found by dividing the speed of light by the frequency:
λ = c/f = (3·10^8 m/s)/(1.0·10^14 Hz) = 3.0·10^-6 m
Typical units of runoff are Select one: cubic
feet per second
m/d
mm/ month
ft/yr
Answers
The typical units of runoff include cubic feet per second, meters per day, millimeters per month, and feet per year. These units are used to measure the rate or depth of water flow in different time periods and areas.
The typical units of runoff can vary depending on the system of measurement used. Some common units of runoff are:
1. Cubic feet per second (cfs): This unit measures the volume of water that flows past a given point in a river or stream in one second. It is often used in hydrology to quantify the rate of runoff.
2. Meters per day (m/d): This unit measures the depth of water that would cover a specific area if all the runoff from that area were collected over the course of one day. It is commonly used in studies of water resources and rainfall-runoff modeling.
3. Millimeters per month (mm/month): This unit measures the amount of rainfall or runoff in terms of the depth of water over a specific area, collected over the course of one month. It is often used in meteorology and climatology to analyze precipitation patterns.
4. Feet per year (ft/yr): This unit measures the amount of runoff or rainfall in terms of the depth of water over a specific area, collected over the course of one year. It is commonly used in studies of water resources and hydrological modeling.
In summary, the typical units of runoff include cubic feet per second, meters per day, millimeters per month, and feet per year. These units are used to measure the rate or depth of water flow in different time periods and areas.
To know more about water flow visit:
brainly.com/question/29001272
#SPJ11
Galois drove 60.0 kilometers due west in 5.00 hours and then drove 43.0 kilometers due north in 3.00 hours.
(a) How far did he travel?
(b) What was his average speed?
(c) What was his displacement?
(d) What was his average velocity?
Answers
Answer:
Explanation:
See the attachment for the details. A right triangle is formed to find the hypotenuse of the two legs consisting of the actual driving distances and times. The hypotenuse gives the vector information for the displacement at the end of 8 hours of driving.
The individual driving times and distances are summed to provide:
(a) How far did he travel?
103 km
(b) What was his average speed?
12.88 km/h
(c) What was his displacement?
73.82 km
(d) What was his average velocity?
9.228 km/h
