a man stands on a flat surface and shoots an arrow vertically into the sky at avelocity of 60 meters per second. calculate the maximum height the arrow reached. what was the velocity of the car when it hit the ground?
Answers
a= -9.81 m/s^2
Vf= 0m/s^2
d=?
Vf^2=Vi^2+2ad
(0m/s)^2=(60m/s)^2+2(-9.81m/s^2)d
0=3600+(-19.62)d
-3600=(-19.62)d
(-3600)/(-19.62)=(-19.62)d/(-19.62)
d=183.5m
c) Vi= 60 m/s
a= -9.81 m/s^2
Vf= 0m/s^2
t=10s
d=?
d=Vi*t+(1/2)a*t^2
d=60m/s(10s)+(1/2)(-9.81m/s^2)(10s)^2
d=600+(-4.905)(100)
d=600+(-490.5)
d=108.5m
The maximum height reached by the arrow shot vertically at 60 meters per second is 183.67 meters. Upon returning to the ground, the arrow's velocity will be -60 meters per second.
Explanation:The student is dealing with a problem that involves projectile motion, a topic within physics. To calculate the maximum height the arrow reached when shot vertically into the sky at a velocity of 60 meters per second, we use the kinematic equation that ignores air resistance:
Maximum height (h) = (v^2) / (2g)
where v is the initial velocity and g is the acceleration due to gravity (9.8 m/s^2). Substituting the given values:
h = (60^2) / (2*9.8) = 3600 / 19.6 = 183.67 meters
The maximum height reached by the arrow is 183.67 meters. When the arrow hits the ground, the velocity will be the same as the initial velocity in magnitude but in the opposite direction, so the velocity of the arrow when it hits the ground is -60 meters per second (the negative sign indicates the direction is downward).
Related Questions
How is a scientific law unlike a scientific theory?
Answers
Answer:
Both scientific law and theory are the scientific statements related to any natural phenomenon.
Both are the proved hypothesis but they differ as a scientific law tells how a natural phenomenon takes place whereas a theory explains why the natural phenomenon takes place.
A scientific law cannot be changed but a theory can be modified and changed when new evidence comes into existence.
Thus, both are different.
you touch a downed power line covered or bare, what’s the likely outcome?
Answers
Answer:
The likely result is that you die due to a strong discharge of electricity.
Explanation:
Electricity goes its way to the cities through a high voltage grid. Traveling over hundreds of kilometers of wire, electric power is very dangerous and can cause shock as a result of an electric shock that can kill any living thing. Falling, covered or empty power lines are very dangerous and should not be touched under any circumstances. These lines can contain high voltage energy and cause death if touched by someone who is not properly protected, so it can only be touched by professionals with proper protective equipment.
Two cars are driving on a straight section of the interstate in opposite directions with 70 mph. They are one mile apart.
a) They have the same velocity.
b) They have the same speed.
c) None of the above.
I don't understand this question. Please some one explain to me!
Answers
A bottle dropped from a balloon reaches the ground in 20 s. determine the height of the balloon if (a) it was at rest in the air and (b) it was ascending with a speed of 50 m/s when the bottle was dropped.
Answers
Final Answer:
a) 1960 m
b) 1860 m
Explanation:
a) When the balloon is at rest, the height it was dropped from can be calculated using the formula for free fall: [tex]\( h = \frac{1}{2} g t^2 \)[/tex], where h is the height, g is the acceleration due to gravity, and t is the time taken. Substituting the given values, we find [tex]\( h = \frac{1}{2} \times 9.8 \, \text{m/s}^2 \times (20 \, \text{s})^2 = 1960 \, \text{m} \)[/tex].
b) If the balloon is ascending with a speed of 50 m/s when the bottle is dropped, we subtract the distance traveled by the balloon in 20 s from the height calculated in part (a). The distance traveled by the ascending balloon is [tex]\( 50 \, \text{m/s} \times 20 \, \text{s} = 1000 \, \text{m} \)[/tex]. Therefore, the height of the balloon is [tex]\( 1960 \, \text{m} - 1000 \, \text{m} = 960 \, \text{m} \)[/tex].
A girl pulls a sled with a force of 15 N over a distance of 3 m. What is the kinetic energy of the sled after she pulls it? Assume there is no friction.
Answers
Answer:
Kinetic energy, KE = 45 J
Explanation:
It is given that,
Force applied by girl on a sled, F = 15 N
It moves a distance, d = 3 m
We need to find the kinetic energy of the sled after she pulls it. We know that the work done is equal to the change in kinetic energy
[tex]W=\Delta E=K_f-K_i[/tex]
[tex]K_i=0[/tex] (initial at rest)
[tex]KE=W=F\times d[/tex]
[tex]KE=15\ N\times 3\ m=45\ J[/tex]
So, the kinetic energy of the sled after she pulls it is 45 J. Hence, this is the required solution.
A crazy dog runs 300 meters east, changes his mind and then runs 200 meters west. He then changes his mind again and runs 500 meters east. This entire trip takes 2 minutes. a) what is the total distance traveled? b) What is the total displacement? c) What was the dog’s average speed? d) What was the dog’s average velocity?
Answers
Displacement- 600meters?
Average speed- 1000÷2 - 500m/s
V
Answer:
Distance 1000 meters
Displacement: 600 meters east.
Average speed: 500 meters per minute
Average velocity: 300 meters per minute
Explanation:
In order to calculate this you just have to know the difference between distance and displacement, distance is the total meters that someone walk or run or moved accros, and displacement is a vector, that is the result of how far away from the starting point the object finished. Then with this two values you can calculate average speed which is distance between time, and average velocity which is displacement between time.
A student pushes a box with a total mass of 50kg. What is the net force on the box if it accelerates 1.5m/s^2?
Answers
[tex]F=m*a[/tex]
Thus for the given box the net force on it is
[tex]F=50*1.5 (m/s^2)=75 (N)[/tex]
A cannonball is launched from the ground at an angle of 30 degrees above the horizontal and a speed of 30 m/s. Ideally (no air resistance) the ball will land on the ground with a speed of
A. 0 m/s. B. 20 m/s. C. 30 m/s. D. 40 m/s. E. There is not enough information to say.
Answers
The answer is not B.
Superman lived on another planet where the acceleration due to gravity is 23.6 m/s2 . If a woman falls from a building that is 88.3 m tall, how long does he have to save her before she hits the ground?
Answers
Acceleration due to gravity = 2.6m/s²
Length of building = d = 88.3m
Time
he needed before she hits the ground = ?
we can find the time by using the
formula;
D = 1/2at²
Now putting the value;
88.3
= (1/2) a t²
88.3 = 1/2 x 23.6 x t²
t² = 88.3 / 11.8
= 7.48
t = 2.735 secondsIt takes one kilogram of metal to make a certain solid cube. What mass of metal is needed to make a cube of the same metal whose edges are twice as long as the first? Explain your answer.
Answers
Assuming the new cube will also be solid, let's work the problem 1 dimension at a time.1. Take your original cube and create a duplicate. Now weld those duplicate cubes together to make a box that's twice as wide as the original cube, but has the same depth and height as the original cube. It's obvious that this new box has twice the mass as the original cube.
2. Take the box created in step 1 above and duplicate it again. Now weld those two boxes together to get a square box that has double the width and depth as the original cube, but has the same height. It's obvious that this new box has twice the mass as the box created in step 1 which is turn has twice the mass as the original cube. So it has 2 * 2 = 4 times the mass of the original cube.
3. Finally, take the box created in step 2 above and duplicate it once more. Then stack those two boxes on top of each other to create a cube. Once again, it has twice the mass of the box in step 2, so it has 4 * 2 = 8 times the mass of the original cube.
Since the original cube has a mass of 1 kg, the new cube that's twice as long in all dimensions has 8 * 1 kg = 8 kg of mass.
The early earth was much cooler than it is today.
a. True
b. False
Answers
This is because the pollution as well as the population number was very small compared to nowadays population and pollution.
The pollution mainly is causing a decay in the ozone layer which protects the earth from uv rays. Thus, more of these rays enter the atmosphere and increase the temperature.
The increase in population along with the decrease in green areas leads to the increase in the percentage of carbon dioxide in the atmosphere, which again leads to an increase in the temperature.
suppose larry stands with more weight on one scale than the other if one scale reads 400 N. what does the other read?
Answers
You will take 400N divide by 2. The answer will be 200N.
base your answers on the following four graphs, which represent the relationship between speed and time for four different objects, A, B, C, and D moving, in a straight line
Answers
The required answers are: 1) Object C, 2) Object B, 3) Object C.
Based on the graphs, here are the answers to the given questions:
Object C had a reta rding force acting on it. This is because its speed is decreasing over time, which means it is decelerating.
Object B was not accelerating. This is because its speed is constant over time.
Object C traveled the greatest distance in the 3.0-second time interval. The area under the speed-time curve represents the distance traveled, and Object C's curve has the largest enclosed area.
Area = Triangle + rectangle
A = 1/2 x base x height + length x breadth
A = 1/2 x 3 x (30-20) + 3 x 20
A = 15 + 60
A = 75 = distance in meters.
Complete Question:
Based your answers to questions on the following four graphs, which represent the relationship between speed and time for four different objects, A, B, C, and D moving, in ạ straight line.
1. Which object had a reta rding force acting on it?
2. Which object was not accelerating?
3. Which object traveled the greatest distance in the 3.0-second time interval?
A large box is being pushed by three separate people. The first person is pushing the box at a rate of 6 m/s directly north. The second person is pushing the box at a rate of 6 m/s directly to the northeast. The third person is pushing the box at a rate of 6 m/s directly east. Determine the magnitude and direct of the resultant vector of he box.
Answers
An 8.0 cm object is 40.0 cm from a concave mirror that has a focal length of 10.0 cm. Its image is 16.0 cm in front of the mirror. The height of the image produced by the mirror, to the nearest tenth, is cm.
Answers
Answer:
-3.2
Explanation:
This question involves the concept of magnification and image height.
The image height is "3.2 cm".
What is Magnification?The magnification of a mirror can be given as the ratio of height of image to the height of object. It can also be given as the ratio of the distance of image from mirror to the distance of object from the mirror.
[tex]M = \frac{h_i}{h_o}=\frac{q}{p}[/tex]
where,
M = magnification[tex]h_i[/tex] = image height = ?[tex]h_o[/tex] = object height = 8 cmq = image distance = 16 cmp = object distance = 40 cmTherefore,
[tex]\frac{h_i}{8\ cm}=\frac{16\ cm}{40\ cm}\\\\h_i=\frac{(8\ cm)(16\ cm)}{40\ cm}[/tex]
[tex]h_i=3.2\ cm[/tex]
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The bright, visible surface of the sun is called the
Answers
The bright, visible surface of the sun that we see from the earth is called the photosphere, which emits majority of light and has an average temperature of 5500 degrees Celsius.
Explanation:The bright, visible surface of the sun that we see from Earth is known as the photosphere. The photosphere is the layer of the sun where the majority of the light is emitted. It's responsible for the visible light we see, and hence, it appears bright to us. The average temperature of the photosphere is approximately 5500 degrees Celsius. The sunspots, which are darker and cooler areas, can also be observed in this layer due to magnetic activity.
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The __________________ variable is the variable that the scientist changes in an experiment.
Answers
Put each event in order of its occurrence, according to the big bang theory. please note that more accurate calculations of the age of each event are still actively being researched, so there is some variability in estimations that you might find on the internet. a few seconds after the big bang ~800 million years after the big bang ~9 billion years after the big bang ~1 billion years after the big bang
a. formation of hydrogen and helium atoms
b. formation of large nebulae into protostars and eventually full blown stars
c. early massive stars exploded producing supernovae and heavier elements
d. formation of our sun and the earth
Answers
Final answer:
The chronological order of events according to the Big Bang theory begins with the formation of hydrogen and helium atoms a few seconds after the Big Bang, followed by the formation of protostars and stars around 400 to 500 million years later. Subsequent events include the creation of heavier elements through supernova explosions, culminating in the formation of our Sun and the Earth about 9 billion years after the Big Bang.
Explanation:
To put each event in order of its occurrence according to the Big Bang theory, we can use our knowledge of cosmic history and the timelines provided by theoretical predictions and observational evidence to create a chronological list.
Formation of hydrogen and helium atoms - This event occurs a few seconds after the Big Bang, when the universe was extremely hot and dense, allowing for the creation of protons, neutrons, and eventually leading to the formation of hydrogen and helium nuclei.
Formation of large nebulae into protostars and eventually full-blown stars - About 400 to 500 million years after the Big Bang, the universe had expanded and cooled enough for the first stars and galaxies to begin forming from large clouds of gas.
Early massive stars exploded producing supernovae and heavier elements - This process of star formation and destruction, including supernovae, would have begun relatively soon after the first stars formed and continued throughout the history of the universe, enriching the interstellar medium with heavier elements over time.
Formation of our Sun and the Earth - Our solar system, including the Sun and Earth, formed about 9 billion years after the Big Bang, from the gravitational collapse of a region within a large molecular cloud.
A cat is moving at 18 m/s when it accelerates at 4 m/s2 for 2 seconds. what is his new velocity?
Answers
Velocity at 2 seconds=18+4+4=26
Answer:
26m/s
Explanation:
Acceleration is the change in velocity of a body with respect to time. Mathematically,
Acceleration = change in velocity/time
Acceleration = final velocity (v) - initial velocity (u)/time (t)
Given a = 4m/s², v = ? u = 18m/s, t = 2seconds.
Substituting in the given formula,
4 = v-18/2
8 = v-18
v = 8+18
v = 26m/s
The new velocity of the body is therefore 26m/s
When Babe Ruth hit a homer over the 10
m
-high right-field fence 80
m
from home plate, roughly what was the minimum speed of the ball when it left the bat? Assume the ball was hit 0.90
m
above the ground and its path initially made a 45
∘
angle with the ground
Answers
The query involves the application of physics specifically taking into consideration projectile motion. The minimum speed of the ball when it left the bat, assuming a 45° launch angle and no air resistance, is calculated to be approximately 28.36 m/s.
Explanation:This is a question about projectile motion in physics and requires the understanding and application of kinematic equations. Projectile motion assumes air resistance is negligible, and the only force operating on the object is gravity.
The formula to calculate the initial velocity (or speed when the angle is 45°) of the projectile is v = sqrt((g * d) / sin(2θ)), where g is the acceleration due to gravity (approx. 9.8 m/s²), d is the distance, and θ is the launch angle.
So plugging in the values: sqrt((9.8 m/s² * 81 m) / sin(90°)) gives us approximately 28.36 m/s. Therefore, the minimum speed of the ball when it left the bat, assuming a 45° launch angle, is roughly 28.36 m/s.
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Discuss any two current processes that can be used to ensure that there is enough clean water
Answers
A person leaves a house and walks three blocks north, then walks three blocks west. In what direction is the displacement of the person, relative to the starting point? A North B Northwest C South D Southwest
Answers
What is the mass of a cylinder of lead that is 1.80 in in diameter, and 4.12 in long. the density of lead is 11.4 g/ml?
Answers
The mass of the lead cylinder is 1963.53 grams.
Given that;
The mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long.
Now for the mass of a lead cylinder, use the formula:
Mass = volume × density
First, calculate the volume of the cylinder.
The volume of a cylinder is given by:
[tex]\text {Volume} = \pi r^2 h[/tex]
where r is the radius and h is the height.
Given that the diameter of the cylinder is 1.80 in,
Hence, find the radius by dividing it by 2:
Radius = 1.80 in / 2
Radius = 0.90 in
Next, convert the radius and height to the same unit as the density, which is grams per millilitre (g/ml).
Let's convert the dimensions to centimetres.
Since; 1 inch = 2.54 cm:
Hence, We get;
Radius = 0.90 in × 2.54 cm/in
= 2.29 cm
Height = 4.12 in × 2.54 cm/in
= 10.46 cm
Now, calculate the volume:
[tex]\text { Volume} = \pi \times (2.29 cm)^2 \times 10.46 cm[/tex]
[tex]= 172.24 cm^3[/tex]
Since the density of lead is given as 11.4 g/ml, we need to convert the volume from cm³ to ml:
[tex]Volume = 172.24 cm^3 \times (1 ml / 1 cm^3)[/tex]
[tex]= 172.24 ml[/tex]
Finally, calculate the mass using the formula:
Mass = Volume × Density
Mass = 172.24 ml × 11.4 g/ml
Mass = 1963.53 g
Therefore, the mass of the lead cylinder is 1963.53 grams.
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Final answer:
To find the mass of a lead cylinder with given dimensions and density, calculate the cylinder's volume in cubic centimeters (which equals milliliters), then multiply by the density of lead to find the mass in grams. The mass of the cylinder is approximately 1892.63 grams or 1.893 kg.
Explanation:
The student is asking for the mass of a cylinder of lead with a diameter of 1.80 inches and a length of 4.12 inches, given that the density of lead is 11.4 g/ml. To solve this, we first need to calculate the volume of the cylinder using the formula V = πr^2h, where V is volume, r is radius (half the diameter), and h is height (or length in this case). Then, we convert the volume into milliliters (since the density is given in g/ml) and use the density formula (mass = density × volume) to find the mass.
First, convert the dimensions to centimeters because the density is given in g/cm³ (1 inch = 2.54 cm).
Diameter in cm: 1.80 inches × 2.54 = 4.572 cmLength in cm: 4.12 inches × 2.54 = 10.46 cmRadius in cm: 4.572 cm / 2 = 2.286 cmVolume of cylinder = π × (2.286 cm)^2 × 10.46 cm = approximately 166.02 cm³Convert cm³ to ml (1 cm³ = 1 ml), so volume = 166.02 ml.Mass of the lead cylinder = 11.4 g/ml × 166.02 ml = approximately 1892.63 grams or 1.893 kg.How far is the rocket from the launch pad 6.70 s later when the rocket engine runs out of fuel?
Answers
A river has a steady speed of 0.500 m/s. a student swims upstream a distance of 1.00 km and swims back to the starting point. (a) if the student can swim at a speed of 1.20 m/s in still water, how long does the trip take? (b) how much time is required in still water for the same length swim? (c) intuitively, why does the swim take lon- ger when there is a current?
Answers
t = d / s
where t is time, d is distance, and s is speed. Substituting the known values,
t = 1000 m / (1.2 m/s - 0.5 m/s) = 1,428.57 seconds
(b) The time it requires for the swimmer to swim in still water,
t = 1000 m / (1.2 m/s) = 833.33 seconds
(c) Intuitively, it takes longer to cover the distance when there is current because the current will serve as resistance to the motion of the swimmer, partially moving it backwards instead of forward.
Final answer:
The round trip swimming in the river with a current takes a total of 2016.8 seconds, while the same trip in still water would take 1666.7 seconds. The additional time required when there is a current is because the effective speed of the swimmer is reduced when going against the current, which outweighs the time saved by the increased speed when going with the current.
Explanation:
A river has a steady speed of 0.500 m/s and a student swims upstream a distance of 1.00 km and swims back to the starting point. Given these conditions, we can calculate the time taken for the entire trip, the time required for a similar trip in still water, and understand why swimming in a current takes longer.
Part A: Time for the round trip with current
Upstream, the student's effective speed is 0.70 m/s (1.20 m/s - 0.500 m/s) since the current opposes the swimmer. Downstream, the effective speed is 1.70 m/s (1.20 m/s + 0.500 m/s) as the current aids the swimmer. To find the time, we use the formula time = distance / speed. Thus, the time taken upstream is 1428.6 seconds and downstream is 588.2 seconds. The total time for the round trip is 2016.8 seconds.
Part B: Time for the same swim in still water
In still water, where there is no current, the speed of the swimmer is 1.20 m/s. The total distance of 2.00 km (1.00 km upstream and 1.00 km downstream) would require 1666.7 seconds to swim, calculated using the same distance/speed formula.
Part C: Intuition behind increased time with current
Intuitively, when there is a current, the effective speed of the swimmer decreases when swimming upstream because the current opposes the swimmer's motion, and although it increases when swimming downstream, the overall effect is that more time is needed to complete the swim as compared to swimming in still water. This is due to the fact that the loss of speed when going against the current has a more significant impact on the total time than the gain in speed when going with the current.
If the sun suddenly ceased to shine, how long would it take earth to become dark? you will have to look up the speed of light in a vacuum and the distance from the sun to earth.
Answers
If the sun suddenly ceased to shine, then the earth will become dark after 8 min. The speed of light in a vacuum is given as 3* [tex]10^{8}[/tex] m/sec and the distance from the sun to earth is 148.97 million km.
What is speed of light in vacuum?Light moves at about 300,000 kilometers per second in a vacuum, which has a refractive index of 1.0, but it slows to 225,000 kilometers per second in water and 200,000 kilometers per second in glass, both of which have refractive indices of 1.3.
Given that in the question when sun ceased to shine than light on the earth will come after 8 min of ceasing because sunlight takes 8 min to reach on the earth. The speed of light in a vacuum is 186282 miles per second (299792 km/sec.
Light will come after 8 min when sun ceased to shine.
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Which of the following correctly compares gravitational force and distance between two objects?
As the distance increases, the gravitational force increases.
As the distance increases, the gravitational force decreases.
As the distance decreases, the gravitational force decreases.
There is no relationship between gravitational force and distance between two objects.
Answers
Answer:
[force hope this help]
Explanation:
The current through a 12v lamp when it is connected to a 12v battery is 2.0 A. Calculate the resistance of the lamp at this current
Answers
= (12 v) / (2 A) = 6 ohms .
The resistance of a lamp connected to a 12v battery that generates a current of 2.0A is calculated using Ohm's law to be 6 ohms.
Explanation:The question asks about the resistance of a lamp connected to a 12v battery that generates a current of 2.0 A.
Using Ohm's law which states that voltage(V) equals current(I) times resistance(R), or V = IR , we can calculate the resistance. In this case, we know the current (I) is 2.0 A and the voltage (V) is 12 V.
We rearrange the formula to find R (resistance) = V/I. Substituting the given values, we have: R = 12v/2.0A = 6 ohms.
Hence, the resistance of the lamp at the current of 2.0 A is 6 ohms.
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An alpha particle is also referred to as a nucleus of which isotope? lithium-7 helium-4 hydrogen-2 helium-2
Answers
Answer: Option (b) is the correct answer.
Explanation:
A positively charged particle that consists of two protons and two neutrons is known as an alpha particle.
The symbol for alpha particle is [tex]^{4}_{2}\alpha[/tex]. An alpha particle is similar to a helium atom because helium atom also has mass number (number of protons + number of neutrons) as 4 and atomic number (number of protons) as 2.
Symbol of helium atom is [tex]^{4}_{2}He[/tex].
Thus, we can conclude that an alpha particle is also referred to as a nucleus of helium isotope.
what forces contribute to density
Answers
where [tex]G[/tex] is given in Newtons and [tex]g=9.81[/tex] is given in [tex](m/s^2) [/tex]