Answer and explanation:
Let [tex]v_1[/tex] be the velocity of a body projected vertically up, 1 second before it reaches its maximum height. We know, from the kinematics equations, that the distance traveled [tex]y[/tex] in an interval of time [tex]t[/tex] is equal to:
[tex]y=v_0t-\frac{1}{2}gt^{2}[/tex]
Then, in the last second, the distance traveled [tex]y_1[/tex] is equal to:
[tex]y_1=v_1t-\frac{1}{2}gt^{2}[/tex]
But the velocity [tex]v_1[/tex] is related to the time by the equation:
[tex]t=\frac{v_1}{g}\\\\v_1=gt[/tex]
And substituting this expression in the equation above, we obtain:
[tex]y_1=gt^{2}-\frac{1}{2}gt^{2}\\\\y_1=\frac{1}{2}gt^{2}\\\\y_1=\frac{1}{2}(9.8m/s^{2})(1s)^{2}\\ \\y_1=4.9m[/tex]
It means that the distance traveled by the body in the last second of its motion is a constant, independent of its initial velocity.
Which situation can strengthen a community's stability?
O
A. Loss of a keystone species
O
B. Interdependence among species
O
c. Removal of a top predator species
O
D. Competition among species for food
Answer:
B
Explanation:
A milliliter of very hot water is added to a liter of very cold water. Which of these events will occur? Assume the surrounding air is at room temperature.
a. The cold water will warm to room temperature.
b. The hot water will cool down.
c. The cold water will warm up.
d. The cold water will warm up, but will never reach room temperature.
Answer:b
Explanation:the water will not be hot nomore because of the cold water
what would you expect to happen to the acceleration if all friction were removed from the ramp, making the net force even higher than 600n
Answer:
Increase
Explanation:
The acceleration will increase more if all the friction were removed from ramp.
Acceleration is the rate of change of velocity with time.
Frictional force is a force that opposes motion of a body.
A large friction will reduce the velocity of a body significantly and bring it to stop, a state of no acceleration. When friction is removed, the acceleration of a body will increase significantly since the velocity will change rapidly. At each turn of time, the velocity keeps increasing due to absence of the inhibiting force of friction.Answer:
If friction were removed from the ramp, the acceleration of the skateboarder will increase.
Explanation:
Use the drop-down menus to answer each question about hurricanes.
What helps create the spin in a hurricane?
What is the center of a hurricane called?
Over which kind of water do hurricanes form?
(I tried to get the images in order, sorry if they aren’t. I hope it’s not too confusing.)
Answer:
Yes they are in order
1. coriolis effect
2. eye of the storm
3. warm ocean water
hope that helps :)
Explanation:
The rotational movement within a hurricane primarily stems from the Earth's rotation and a blend of factors influencing the airflow dynamics within the storm system.
What is hurricane?A hurricane, a subtype of tropical cyclones, emerges as a rotating, low-pressure weather system evolving over tropical or subtropical waters. These cyclones exhibit robust winds, heavy precipitation, and storm surges. They can materialize within the Atlantic, Pacific, and Indian Oceans.
The genesis of hurricanes involves the ascent of warm, moisture-laden air from the ocean, culminating in cloud formation. These clouds coalesce into a rotating system encircling a central low-pressure core. As this rotational pattern intensifies and becomes more structured, the storm gains strength. Once the sustained wind speeds reach 74 miles per hour, the system is classified as a hurricane.
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Please Help me
An object is placed 20 cm away from a curved mirror that has a focal length of 7 cm.
Where is the image located? Is the image magnified or shrunken? Show your work
An image is produced 51.5 cm away from a converging lens. If the object is placed at 32 cm away, where is the focal point located? Show your work
If you used a converging lens with a focal length of 17 cm, where would you put an object that has a height of 5.5 cm to create a virtual image with a height of 13.8 cm? The image is located 22 cm away from the mirror. Show your work
Describe virtual images and how the simulation showed why they are virtual
1) 10.8 cm, shrunken
2) 19.7 cm
3) 8.8 cm
4) See explanation
Explanation:
1)
A mirror works on the principle of reflection: a ray of light coming from an object is reflected back by the mirror, producing an image of the object.
The position of the image can be found by using the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length of the mirror
p is the position of the object
q is the location of the image
In this problem:
f = 7 cm is the focal length of the mirror
p = 20 cm is the position of the object
So we can find q from the equation:
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{7}-\frac{1}{20}=0.0929\\q=\frac{1}{0.0929}=10.8 cm[/tex]
The sign of q is positive: this means the image is real.
The magnification of the image is given by
[tex]M=\frac{y'}{y}=-\frac{q}{p}[/tex]
where
y' is the size of the image
y is the size of the object
M is the magnification
Substituting,
[tex]M=-\frac{10.8}{20}=-0.54[/tex]
Which means that he image is shrunken, (because [tex]|M|<1[/tex]), so [tex]y'<y[/tex].
2)
A lens works on the principle of refraction: the rays of light coming from an object are refracted into the focal point of the lens, and they can produce an image of the object.
We can solve the problem by using the lens equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length of the length
p is the position of the object
q is the location of the image
In this problem we have:
q = 51.5 cm is the location of the image
p = 32 cm is the position of the object
Solving for f, we find the focal length:
[tex]\frac{1}{f}=\frac{1}{32}+\frac{1}{51.5}=0.051\\f=\frac{1}{0.051}=19.7 cm[/tex]
3)
In this problem, we know the following data:
[tex]f=+17 cm[/tex] is the focal length (for a converging lens, it is positive)
[tex]y=5.5 cm[/tex] is the height of the object
[tex]y'=13.8 cm[/tex] is the height of the image
[tex]q=-22 cm[/tex] is the location of the image (it is negative because the image is virtual)
From the magnification equation, we can find the position of the object:
[tex]\frac{y'}{y}=-\frac{q}{p}[/tex]
And solving for p, the position of the object, we find:
[tex]p=-\frac{qy}{y'}=-\frac{(-22)(5.5)}{13.8}=8.8 cm[/tex]
So, the object should be located 8.8 cm from the lens.
4)
The images produced by a lens or by a mirror can be of two types:
Real: a real image is produced when the refracted (or reflected) rays actually meet behind the lens (or in front of the mirror). In this case, the image can be actually projected on a screen. A real image is located behind the lens (or in front of the mirror).Virtual: a virtual image is produced when the refracted (or reflected) rays do not meet at any point, so no image can be actually projected on a screen. In this case, the image forms from the intersection of the prolongation of the refracted/reflected rays. A virtual image is located in front of the lens (or behind the mirror).Can you help me??? This is too hard.
Answer:
Vacuum. A sound vacuum was created, i believe.
What is the relationship between an object’s mass and its ability to pick
up speed, or accelerate?
Answer:
Force = m a
Explanation:
Force is the quantity that relates mass of an object with its accelerate.
Final answer:
The acceleration of an object is directly proportional to the force applied and inversely proportional to its mass, as described by Newton's second law of motion (F = ma). Therefore, a less massive object will accelerate more than a more massive one when subjected to the same force.
Explanation:
The relationship between an object's mass and its ability to accelerate is a fundamental concept in Physics. According to Newton's second law, the acceleration (a) of an object is directly proportional to the net force (F) applied to it and inversely proportional to its mass (m), which can be expressed with the formula F = ma. This means for the same applied force, an object with less mass will accelerate more than an object with greater mass. As mass increases, more force is required to achieve the same acceleration.
Experiencing Mass and Acceleration
Our daily experience supports this relationship. Pushing a bicycle, which has less mass, results in more readily noticeable acceleration compared to pushing a car, which has more mass. The force necessary to change the motion of the car is significantly higher due to its greater mass.
Certain conditions must be met when applying Newton's second law. The object's velocity should be well below the speed of light, the force must be the total force accounting for all significant factors, and the observation must be made in an inertial reference frame. Within these parameters, we can accurately predict the impact of mass on an object's acceleration in response to a given force.
Is a hammer a rigid body
Answer:
See the explanation below.
Explanation:
A rigid body is an ideal concept of a body that does not vary its shape or dimensions when subjected by external forces. In real life all bodies are deformed independent of the hardness or strength of the material, whether in very small values of millimeter. The hammer in this case is considered as a rigid body for practical cases of kinematics or Kinetics in physics and engineering studies.
A 210Ω resistor is connected in a circuit with a 110V battery. What total amount of charge passes through a point in the circuit in 2 minutes?
Answer: 62.86 coulombs
Explanation:
Resistance (R) = 210Ω
Voltage of battery (V) = 110V
total amount of charge (Q) = ?
Time (T) = 2 minutes
The SI unit of time is seconds so convert 2 minutes to seconds
(If 1 minute = 60 seconds
2 minutes = 2 x 60 = 120 seconds)
To get the total charge, first get the current (I) flowing in the circuit by applying the formula V = IR
110V = I x 210Ω
I = 110V/210Ω
I = 0.524 Amps
Then, apply the formula
Charge = current x time
i.e Q = IT
Q = 0.524 Amps x 120 seconds
Q = 62.86 coulombs
Thus, 62.86 coulombs of charge passes through the circuit.
Final answer:
To calculate the total amount of charge that passes through a point in the circuit in 2 minutes, we first find the current using Ohm's Law and then multiply by the time in seconds. The result is a total charge of 62.856 coulombs.
Explanation:
Calculating Total Charge in a Circuit
To find the total amount of charge that passes through a point in a circuit, we need to calculate the current first and then use the relationship between charge, current, and time. According to Ohm's Law, the current I in a circuit is given by the voltage V across the resistor divided by the resistance R of the resistor. In this case, with a 110V battery and a 210Ω resistor, the current is I = V/R = 110V/210Ω. Once we have the current, we can calculate the charge Q that passes through a point by multiplying the current by the time in seconds.
First, calculate the current: I = 110V / 210Ω ≈ 0.5238 A.
Next, convert the time given in the question from minutes to seconds: 2 minutes is 2 x 60 = 120 seconds.
Finally, multiply the current by the time to find the total charge: Q = I x time = 0.5238 A x 120 s = 62.856 C.
Therefore, the total amount of charge that passes through a point in the circuit in 2 minutes is 62.856 coulombs.
A boy pedals his bicycle with a net horizontal force of 235 N. If the total mass of the boy and the bike is 40 kg, how much are they accelerating
Answer:
force=mass×acceleration
235=40×a235÷40=aa=5.875m/sThe boy and the bike accelerating at 5.875 m/s^2.
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Total mass of the boy and the bike : m = 40 kg.
Net horizontal force = 235 N.
Now according to Newton's 2nd law of motion:
Force = mass × acceleration
⇒ acceleration = Force /mass
⇒ acceleration = 235/40 m/s^2
⇒ acceleration = 5.875 m/s^2.
Hence, they are accelerating at 5.875 m/s^2.
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A circuit contains four light bulbs. One light bulb goes out but the other three stays it. This must be an)
circuit
A parallel
B Closed
C series
D open
Answer:
It is a parallel connection
Explanation:
In parallel connection the
Cell is not easily used up because the cells share the total current generated together with all bulbs.
But a major problem is the bulbs must not be left together undisconnected to avoid exhaustion arising from short fall in the strength of one cell as this bounds to affect others
Answer:
parallel
Explanation:
which environmental change occurs quickly
What is the equivalent resistance in this parallel circuit?
What is the voltage in the circuit?
What is the total current in the circuit?
120 V
5.003 10.093 15.003
Answer:
Equivalent resistance: 2.73 Ω
Voltage: 120 V
Total current: 44 A
Explanation:
In the figure attached, the circuit is shown
The equivalent resistance (Rt) is calculated as follows:
1/Rt = 1/R1 + 1/R2 + 1/R3
where R1, R2 and R3 are the individual resistances. Replacing with R1 = 5 Ω, R2 = 10 Ω and R3 = 15 Ω, we get:
1/Rt = 1/5 + 1/10 + 1/15
1/Rt = 5.5/15
Rt = 15/5.5 = 2.73 Ω
From the picture, the voltage in the circuit is 120V
From Ohm's law:
It = V/Rt
where It is the total current, V is the voltage and Rt is the equivalent resistance
It = 120*5.5/15 = 44 A
Answer:
Equivalent resistance: 2.7
Explanation:
trust me
GUYS HELP ITS DUE 20 MIN PLEASEEEEE. I SHOULD HAVE ASKED EARLIERRRRRR
How does the force of gravity between two bodies change when the distance between them is increased by a factor of 5? Express your answer using two significant figures.
Ffinal/Finitial=
8. When you see a stopped local bus (1 point)
you must stop if you are facing it.
you must stop if you are directly behind it.
wait for its lights to stop flashing.
be alert for pedestrians near the bus.
Answer: be alert for pedestrians near the bus.
Explanation: Due to road accidents many Governments around the world has adopted and put in place certain rules and regulations with regards to road safety, this is so to prevent the or reduce the chances of accidents happening.
Road safety rules are rules and guidelines put in place by Government in order to prevent road accidents and maintain a free flow of traffic. An example of such rules is 'be alert for pedestrians near the bus ' when approaching a local bus that is stopped.
What to do when you see a stopped local bus is;
Be alert for pedestrians near the bus.
This question is dealing with traffic rules as put in place by government to prevent unnecessary accidents and to enhance law and on the roads. Now, when one sees a stopped local bus, it is possible that the bus is stopping for pedestrians to cross if there is a zebra crossing there or trying to pick up passengers. Thus, it is very important for a driver to wait and see or in simpler terms be alert for the pedestrians crossing or entering the bus to avoid accident.Read more at; https://brainly.com/question/21760936
Aaron and Sam cover the same distance on foot at the speed of 8 km/hr and 6
km/hr. Find the distance covered by each one of them when one takes 15 minutes
longer than the other.
Answer:
6 km
Explanation:
speed of Aaron, v = 8 km/hr
speed of Sam, v' = 6 km/hr
time 15 min = 0.15 hr longer than the other
Let the distance covered by both of them is d.
Let the time taken by Aaron is t and the time taken by Sam is t + 0.25
use the formula of distance = speed x time
For Aaron:
d = 8 x t ..... (1)
For Sam:
d = 6 ( t + 0.25) ..... (2)
From (1) and (2)
8 x t = 6 (t + 0.25)
8 t = 6t + 1.5
2t = 1.5
t = 0.75 hour
So, the distance traveled by both is 8 x 0.75 = 6 km.
Mass wasting is the rapid down-slope movement of rock and soil from a mountain or steep hill. If massive amounts of rock and soil land in a body of water, a tsunami can be the result.
Which of the following measures could help to reduce the negative effects of catastrophic mass-wasting events?
Answer:
do
Explanation:
Answer: All major slopes at risk of mass wasting could be identified and monitored.
A 60kg bicyclist (including the bicycle) is pedaling to the
right, causing her speed to increase at a rate of 3.1 m/s2,
despite experiencing a 60N drag. Neglect any friction
impeding her motion.
How many forces are acting on the bicyclist?
What is the magnitude of the net force on the bicyclist?
How much force is the bicyclist generating through her
pedaling?
Final answer:
Two forces are acting on the bicyclist: the 60 N drag force and the pedaling force. The magnitude of the net force is 186 N calculated using Newton's second law. The force generated by the bicyclist through pedaling is 246 N.
Explanation:
To determine the number of forces acting on the bicyclist, we must consider both the drag force and the force generated by the cyclist's pedaling. Two forces are acting on the bicyclist: the pedaling force she generates and the 60N drag force opposing her motion.
To find the magnitude of the net force, we use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). We know the mass (m) is 60 kg and the acceleration (a) is 3.1 m/s2, so the net force (Fnet) can be calculated as:
Fnet = m × a
Fnet = 60 kg × 3.1 m/s2
Fnet = 186 N
The pedaling force the bicyclist is generating can be found by adding the drag force to the net force since they are in opposite directions:
Fpedaling = Fnet + Fdrag
Fpedaling = 186 N + 60 N
Fpedaling = 246 N
Thus, the bicyclist generates a pedaling force of 246 Newtons.
9. If a force of 10 N is applied to an object with a mass of 1 kg, what would be the
acceleration?
Explanation:
We know that F = ma
So given
Force (F) = 10N
Mass (m) = 1kg
Acceleration (a) = ?
We know
F = ma
10 = 1 * a
Therefore Acceleration = 10 m/s²
Answer:
10m/s2
Explanation:
Force = mass x acceleration
10 = 1 x a
Divide both sides by 1
10/1 = 1/1 x a
10 = a
a = 10m/s2
An object's (mass or weight) will remain constant throughout the universe, but its (mass or weight) can change from planet to planet. If you increase the mass of a planet, what happens to its gravity? (Strength of gravity increases, strength of gravity decreases, strength og gravity stops completely) If the gravity on a planet decreases, what happens to the weight of an object on that planet? (Weight increases, weight decreases, weight stays the same)
Answer:
1: mass
2:weight
3: gravity increases
4: it decreases
Hope this helps:)
Explanation:
Answer:
Mass, Weight, Strength Increases, and Weight decreases
Explanation:
Got them right on Edge
Your family decided to go to sea World in San Antonio this weekend. If it takes
your Dad 4 hours to drive to San Antonio, which is 252 miles away, what would be
your Dad's average speed?
A. 48 mph
C. 63 mph
B. 73 mph
D. 58 mph
Answer:
63 mph
Explanation:
252/4 is 63mi
PLEASE ANSWER ASAP!!!!!!!
The picture below shows a toy car in the process of rolling down a ramp. At point X, the kinetic energy is 50 Joules (J), and the potential energy is 30 J.
What is the total energy in the system once the car reaches the bottom of the ramp?
A
20 J, because the energy in the system cannot change form but can be created and destroyed
B
80 J, because the energy in the system can change form but cannot be created or destroyed
C
30 J, because the potential energy is the only energy at the bottom of the ramp
D
50 J, because the kinetic energy is the only energy at the bottom of the ramp
Answer:
B. Mechanical energy= 50J+30J=80J
Answer:
80J
Explanation:
which of the following account for the difference between radio waves , infrared waves, and ultraviolet rays?
A. speed
B. frequency
C. amplitude
D. wavelength
Answer: B
The only difference between these different types of radiation is their wavelength or frequency
Explanation:
Answer:
The answer is B. frequency and D. wavelength for APX.
Explanation:
If a car is traveling at 15 mph and increases to a speed of 45 mph in 10 seconds, what is the acceleration? A. 30 mph B. 3 mph C. 3 mph/s D. 30 mph/s
The acceleration will be "3 mph/s".
According to the question,
Final velocity,
45 mphInitial velocity,
15 mphTime,
10 secAs we know the formula,
→ [tex]Acceleration =\frac{Final \ velocity-Initial \ velocity}{Time}[/tex]
By substituting the values, we get
→ [tex]= \frac{45-15}{10}[/tex]
→ [tex]= \frac{30}{10}[/tex]
→ [tex]= 3 \ mph/s[/tex]
Thus above answer is right.
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If 3920 J are used to raise a 200-kg mass, how high is the mass raised?
Answer: 1.75m
Explanation:
Given that,
mass = 200 kg
height by which mass was raised = ?
Energy required = 3420J
Apply the formula for calculating energy,
Energy = mass x acceleration due to gravity (g) x height
Energy = mgh
3420J = 200kg x 9.8m/s^2 x height
3420J = 1960kgm/s^2 x height
Height = 3420J / 1960kgm/s^2
Height = 1.75m
Thus, the mass was raised 1.75 metres high
Answer:1.96m
Explanation:
work=3920J
mass=200kg
g=10m/s^2
Height=work/(mass x g)
Height=3920/(200 x 10)
Height=3920/2000
Height=1.96m
A wave with a speed of 54m/s travels through vulcanized rubber with a wavelength of 0.90 m. What is the frequency of this wave? *
4 points
80 Hz
50 Hz
60 Hz
0.017 Hz
Answer: 60Hz
Explanation:
Given that
Speed of wave V= 54m/s
Wavelength ( λ) = 0.90 m
Frequency of wave F = ?
Recall that the frequency of a wave is the number of cycles the wave complete in one secon, and it is measured in hertz.
So, apply the formula
V = F λ
F = V/ λ
F = 54m/s / 0.90 m
F = 60Hz
Thus, the frequency of this wave is 60 Hertz
The driver of a car slams on the brakes, causing the car to
slow down at a rate of 17ft/s2 as the car skids 175ft to a
stop.
How long does the car take to stop?
What was the car's initial speed?
It takes 4.58 seconds for the car to stop and the initial speed of the car is 77.14 ft/s
Explanation:
Given:
Acceleration, a = -17 ft/s²
Distance, s = 175 ft
Final velocity, v = 0
Time, t = ?
Initial speed, u = ?
We know:
v² - u² = 2as
(0)² - (u)² = 2 X - 17 X 175
u² = 5950
u = 77.14 ft/s
To calculate time:
v = u + at
0 = 77.14 - 17 X t
17t = 77.14
t = 4.58 sec
Therefore, It takes 4.58 seconds for the car to stop and the initial speed of the car is 77.14 ft/s
After the driver of a car slams on the brakes, which causes the car to stop after traveling 175 ft with a slow down rate of 17 ft/s², we have:
a) The car stops after 4.54 s.
b) The car's initial speed is 77.14 ft/s.
We can calculate the time at which the car stops with the following kinematic equation:
[tex] v_{f} = v_{i} + at [/tex] (1)
Where:
t: is the time =?
[tex] v_{i}[/tex]: is the initial velocity
[tex] v_{f}[/tex]: is the final velocity = 0 (the car stops)
a: is the acceleration = -17 ft/s² (the minus sign is because the car is slowing down its speed)
First, we need to find the initial velocity.
[tex]v_{i}^{2} = v_{f}^{2} - 2ad[/tex]
Where:
d: is the distance traveled = 175 ft
Then, the initial velocity is:
[tex]v_{i} = \sqrt{v_{f}^{2} - 2ad} = \sqrt{-2(-17 ft/s^{2})175 ft} = 77.14 ft/s[/tex]
Hence, the initial velocity is 77.14 ft/s.
Now, the time at which the car stops is (eq 1):
[tex] t = \frac{v_{f} - v_{i}}{a} = \frac{0 - 77.14 ft/s}{-17 ft/s^{2}} = 4.54 s [/tex]
Therefore, the car stops after 4.54 s.
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Jaquan found 2 footballs in his closet to practice throwing long distances. Both footballs are of equal size. However, one has a mass of 1 kg and the other is 2 kg. Which football will travel the farthest distance when thrown and why? Or will they travel the same distance?
Answer:
The 1kg will travel farther.
Explanation:
Because it is lighter
What is the source of energy that will send the arrow flying toward the target?
Answer:
When the arrow is pulled back there is both elastic and gravitational potential energy in the arrow. When it is released the elastic potential transfers to kinetic energy and as the arrow moves closer towards the ground gravitational energy is tranferred into kinetic as well.
Answer:
elastic potential energy
Explanation: when the arrow reaches the top of its flight, it has zero kinetic energy and the initial elastic potential energy is now gravitational potential energy of the arrow.
During summer in the northern hemisphere _____.
the sun is closer to than during winter
the sun's rays do not hit as directly as during winter
the days are longer than during winter
Answer:
The days are longer than during winter
Explanation:
In the summer, days feel longer because the Sun rises earlier in the morning and sets later at night. When the North Pole of the Earth is tilted toward the Sun, we in the northern hemisphere receive more sunlight and it's summer. ... It is also the day that the Sun reaches its highest point in the sky.