Show that a body projected vertically up from the ground, the distance travelled by it in the last second of its upwards motion is an constant independent of its initial velocity
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.
A 2.0 kg guinea pig runs at a speed of 1.0 m/s what is the guinea pigs kinetic energy
The kinetic energy for the above data is 1.0000 J.
The kinetic energy (KE) is calculated using the formula KE = 1/2 * m * v^2, resulting in a kinetic energy of 1.0 Joule for a 2.0 kg guinea pig moving at a speed of 1.0 m/s.
The kinetic energy (KE) of an object in motion is determined by the formula: KE = 1/2 * m * v^2, where m is the mass and v is the velocity. For the guinea pig in question, with a mass (m) of 2.0 kg and a velocity (v) of 1.0 m/s, the calculation is as follows:
KE = 1/2 * 2.0 kg * (1.0 m/s)^2
KE = 1/2 * 2.0 kg * 1.0 m^2/s^2
KE = 1.0 kg * 1.0 m^2/s^2
KE = 1.0 Joule
Therefore, the kinetic energy of the 2.0 kg guinea pig running at a speed of 1.0 m/s is 1.0 Joule.
Use the image to answer the questions about The current is flowing
the right-hand rule.
The magnetic field is flowing out of the_____
______of the screen and into the
________of the screen.
Answer:
the current is flowing to the left
the magnetic field is flowing out of the bottom of the screen
the screen and into the top of the screen.
Explanation:
PLEASE ANSWER!!!!
Ingrid hangs a black shirt on the clothesline to dry. After a few hours, she removes the black shirt from the clothesline and notices that it feels hot. What causes the black shirt to feel hot? How does molecular motion change when the black shirt gets hot?
EXPLAIN!!!
Answer:
consumes the hot
Explanation:
Black consume heat and white reflects the heat and doenst get that hot
What is the melting point of substance A?
Heating Curve of Substance A
600
500
400
E
Temperature (Cº)
300
200
100
Heat Added (J)
Answer:
Solids are easily recognized by their ability to retain a fixed shape and definite volume. Particles making
up a solid are held together in a rigid form. They are not free to move about or slide past one another and
the solid does not have the ability to flow. (Although the particles of a solid do not move position to position, they do have motion in that they are constantly vibrating.
To change the temperature of a solid, heat energy must be added. The amount of heat energy that changes
the temperature of 1.0 g of a solid by 1.0°C is called its specific heat (c). Each substance has its own
specific heat. The specific heat of ice is 2.1 Joules/g°C. In other words we must supply 1.0 gram of ice
with 2.1 Joules of heat energy to raise its temperature by 1.0 °C.
The general equation for calculating heat energy to change the temperature of a solid is:
Heat = Mass x Specific Heat (solid) x Temperature Change
Q = m c DT
10 g 10 g 10 g 10 g 10 g 10 g
Calculate the heat necessary to change 10 g of ice(s) at -20 °C to 10 g of ice(s) at 0°C. (A-B)
Q = mc∆T = (10 g) (2.1 J/g°C) (20°C) = 420 J
If you continue to add heat energy once the temperature of the ice reaches 0°C , the heat absorbed is called
the heat of fusion (Lf). This heat is used to cause a change of phase (from a solid to a liquid). This heat is
increasing the potential energy of the molecules of the solid. No temperature change takes place. Each
substance has its own heat of fusion. The heat of fusion for ice is 340 Joules/g. Exactly the same amount
of heat is given up when 1.0 g of water is changed to ice. This heat is called the heat of crystallization.
The general equation for calculating heat energy to change a solid to a liquid is:
Heat = Mass x Heat of Fusion
Q = m Lf
Calculate the heat necessary to change 10 g of ice(s) at 0°C to 10 g of water(l) at 0°C.(B-C)
Explanation:
Q = mLf = (10 g)( 340 J/g) = 3400 J
Answer:
Correct Answer: 200° C
Explanation:
Have a great day!
Frogs, hawks, and lions are all _________
A.herbivores
B.carnivores
Answer:
A. Carnivores
Explanation:
Frogs, hawks, and lions are all carnivores. Thus, the correct option for this question is B.
What are Carnivores?Carnivores may be characterized as animals or organisms that typically eat the meat or flesh of other animals or a plant that traps and digests insects or other small animals. Some examples of carnivores may include lions, eagles, leopards, polar beer, frogs, etc.
Carnivorous animals have specialized dentition to hunt and kill prey. Some carnivorous animals such as chameleons and a few species of frogs have long sticky tongues to catch prey. Most carnivores are usually fast as they need to chase and tire their prey. Carnivores are also known as predators.
Organisms like grasshoppers, goats, horses, rabbits, deer, etc. are categorized under the category of herbivores as they only eat plants and their derived products.
Therefore, frogs, hawks, and lions are all carnivores. Thus, the correct option for this question is B.
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A man walks 3.50 mi due east, then turns and walks 2.57 mi due north. How far
and in what direction is he from the starting point
Answer:
4.34 mi at [tex]36.3^{\circ}[/tex] north of east
Explanation:
The displacement of an object in motion is a vector connecting its initial position to the final position of motion.
In this problem, the man has 2 different motions:
- 3.50 mi due east
- 2.57 mi due north
We can take the east direction as positive x-direction and north as positive y-direction, so these two motions can be written as:
[tex]x=+3.50 mi[/tex]
[tex]y=+2.57 mi[/tex]
Since the two motions are perpendicular to each other, the resultant displacement can be found by using Pythagorean's theorem; therefore:
[tex]d=\sqrt{x^2+y^2}=\sqrt{3.50^2+2.57^2}=4.34 mi[/tex]
We can also find the direction using the equation:
[tex]tan \theta = \frac{y}{x}[/tex]
And therefore,
[tex]\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{2.57}{3.50})=36.3^{\circ}[/tex]
Drag each label to the correct category.
Decide whether each statement describes mass or weight.
measured in newtons
measured in kilograms
does not change when
gravity changes
changes when gravity
changes
the amount of matter
in something
a gravitational force
Mass
Weight
Answer:
See details below
Explanation:
1) The amount of matter in something - is a mass - does not change when gravity changes - it is measured in kilograms.
2) a gravitational force - is a force (normally called weight) - changes when gravity changes - it is measured in newtons.
-- measured in newtons . . . . . Weight
-- measured in kilograms . . . . . Mass
-- does not change when gravity changes . . . . . Mass
-- changes when gravity changes . . . . . Weight
-- the amount of matter in something . . . . . Mass
-- a gravitational force . . . . . Weight
Explain using complete sentences where on the HR diagram you would expect to find a main sequence star based on its physical properties.
Answer:
The Hertzsprung-Russel Diagram also known as HR diagram is stars' scatter plot showing the relation of luminosity or absolute magnitude vs spectral class or surface temperature. The main sequence stars can be plotted on a HR Diagram as a diagonal band as their physical properties vary a lot.
The mass of these stars ranges from about a tenth of that of the Sun to about 200 times the mass of the Sun. Inside these stars Hydrogen fusion results in Helium. 90% of the stars, including the Sun, in the Universe lies in this category.
Their surface temperature lies in the range of 2500 Kelvin to 40000 Kelvin.
And Giant Stars:
A giant star is a star with a radius much larger than that of our Sun (even hundreds of times bigger). They can be either blue giants or red giants: in the first case, the surface temperature is very high, higher than that of the Sun, while in the second case the surface temperature can be lower than that of the Sun. The same applies to the mass: blue giants are very massive stars, burning quickly their nuclear fuel, while red giants can have small masses (a little bit bigger than that of our Sun).
We can find giant stars in the upper part of the HR diagram, blue giants will be on the upper left corner since they have high luminosity and high temperature, while red giants will be on the upper right corner, having high luminosity but low temperature.
Explanation:
How many 75-W lightbulbs, connected to 120 V can be used without blowing a 15-A fuse?
Explanation:
P = IV
n (75 W) = (15 A) (120 V)
n = 24
There could be 24 , 75-W lightbulbs connected to 120 V that can be used without blowing a 15-A fuse.
What is power?The rate of doing work is known as power. The Si unit of power is the watt.
Power consumed by the bulb =work done /time
The mathematical expression for the electric power is as follows,
P = VI
As given in the problems we have to find out how many 75-W lightbulbs, connected to 120 V can be used without blowing a 15-A fuse,
The total power that would blow the fuse = 120 × 15
=1800 watts
Given that a single lightbulb consumes 75 watts,
The number of bulbs = 1800 watts / 75 watts
= 24 lightbulbs
Thus, there would be 24 lightbulbs.
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This type of soil occur in temperate climates where rainfall is moderate to high.
Question 4 options:
pedocal
laterite
pedalfer
humus
Answer:
Pedalfer soils
Explanation:
6.18b: Pedalfer soils occur in temperate climates experiencing moderate to high rainfall.
The type of soil that occurs in temperate climates where rainfall is moderate to high is pedalfer soil.
What is a temperate climate?A temperate climate is a moderate climate that is characterized by relatively mild temperatures and distinct seasonal changes.
Here,
Pedalfer soils are also known as "brown earth" and are characterized by a high content of iron and aluminum oxides. They are formed in regions with a humid climate, where rainfall leaches away nutrients and minerals from the topsoil and causes the accumulation of iron and aluminum oxides in the subsoil. Pedalfer soils are generally fertile and are commonly used for agricultural purposes due to their ability to support plant growth.
In contrast, pedocal soils are found in arid or semi-arid regions, laterite soils are found in tropical regions with high rainfall, and humus is a type of organic matter that can be found in various soil types.
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1. Butterflies usually are identified by the colors and patterns on their wings. Butterflies have four wings. The two wings near the butterfly's head are "forewings while
ead are forewings while
the wings near the butterfly's tail are "hindwings. You can use the following dichotomous key to identify four common butterfly species in North America.
i
ii.
Hindwings pointed
Go to 2
Hindwings rounded ..................... Goto 3
Wings mainly yellow ............... Papilio glaucus
Wings mainly black .............. Papilio polyxenes
Wings orange with black piping...Danaus plexippus
Wings yellow with black edges..... Colias philodice
ii.
i.
i.
Based on the key, what speries of butterfly is shown below?
A Papilio glaucus
The butterfly in question is most likely a Papilio glaucus. This determination is made based on the features described in the provided dichotomous key, mainly the color of the wings. In a real situation, other factors such as geography could also play a role in identification.
Explanation:The question presents a dichotomous key that is used to identify species, in this case, butterfly species based on wing shape and pattern. This is a common biological identification method. The butterfly in question is identified as Papilio glaucus.
This determination is based on the key provided: if the butterfly's hindwings are pointed or rounded (no specific shape was mentioned in the question), then we check the primary color. The Papilio glaucus is primarily yellow, therefore, if the butterfly has primarily yellow wings it is most likely this species.
Please note, that real-world species identification can be more complex and involve factors such as geographical location, time of year, and more.
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is an apple hanging from a tree konetic energy or potential energy
Answer:
Potential
Explanation:
This is because it has not yet fallen, and it has the potential to fall and turn into kinetic energy. When it starts falling, it will be kinetic.
Answer:
Potential because it is in place.
Explanation:
Kinetic energy is when something is in motion. Potential is sitting still.
Hope this helps :)
Answer questions 4 and 5.
Answer:
4. Momentum = mass x velocity
= 920kg x 25m/s = 23000kgms¯¹
5.Dolphin. Momentum of dolphin is 1000kgms¯¹ whereas the momentum of manatee is 700kgms¯¹
These can be found using the formula above.
How do electromagnetism and gravitation differ from the strong and weak nuclear forces?
In a system, when energy is transformed from one form to another
O
A. some energy is always destroyed.
O
B. new energy is created.
O
c. the total energy is conserved
O
d.
all energy changes to friction
HELP Please
Answer:
C: the total energy is conserved
Explanation:
In a closed system they total mechanical energy is always conserved although energy may change from one form to another
Answer:
C. the total energy is conserved
Which type of mirror causes beams of light to spread apart
A) flat mirror
B) concave mirror
C) diverging mirror
D) converging mirror
Answer:
c . diverging mirror
Explanation:
also known as convex mirror which causes the incident rays of light to spread after reflaction.
Which physical trait is most likely to be influenced at least partly by environment?
A) height
B) hair color
C) weight
D) eye color
Answer:
Height, Hair color and Eye color is mostly influenced by genes. Weight on other hand can be influence by gene a little but its mostly on environment such as diet control and other things.
Explanation:
A wave has 16 cycles in 208 m of space. It’s frequency is 4hz. What is the velocity of the wave
Answer:
52 m/s
Explanation:
Wavelength is the distance between two successive crests. Two crests make one circle hence 16 cycles are equal to 16 wavelengths. Each wavelength is equal to 208/16=13 m long
Speed of wave is given as the product of wavelength and frequency, expressed as
S=fw
Where f is the frequency and w is the wavelength
Substituting 13 m for w and 4 Hz for f then
S=4*13=52 m/s
Therefore, the speed is equivalent to 52 m/s
Compare and contrast Earth to the other inner planets.
The inner planets are;- Mercury, Venus, Earth and Mars. Earth is the only planet which has atmosphere, water on the surface or know of to have water(Mars might have water underground), and life.
Mercury is pretty much a small planet on fire by day, but freezes at night.
Venus is a gas planet which is usually on fire in places too, but has mass ice craters on the surface.
Earth, well just look out your window.
Mars may have been an earth like planet at one stage, (still unknown) but is known as the red planet due to its volcanic activity. Mars also has the biggest mountain/volcano on any known planet called Mt Olympus. It's 3 times the size of Mt Everest.
Hope this helps!! :)
What is the force exerted by a catcher’s glove on a 0.15 kg baseball moving at 35 m/s that is stopped in 0.02 sec?
Answer: 262.5N
Explanation:
Given that:
Force exerted by a catcher’s glove (F) = ?
Mass of baseball (m) = 0.15 kg
Speed (s) = 35 m/s
Time (t) = 0.02 sec
The force exerted is obtained by dividing the momentum by time.
i.e Force = momentum/time
(since momentum is equal to the product of mass and speed)
i.e F= mv/t
F = (0.15 kg x 35 m/s)/0.02 sec
F = 5.25kgm/s / 0.02 sec
F = 262.5N
Thus, the force exerted by a catcher’s glove is 262.5 newton
Final answer:
The force exerted by a catcher's glove on a 0.15 kg baseball moving at 35 m/s that is stopped in 0.02 sec is 262.5 N in the direction opposite to the baseball's initial motion.
Explanation:
The force exerted by a catcher’s glove on a baseball can be found using Newton's second law of motion, which states that force is equal to the mass of an object multiplied by its acceleration (F = ma). The acceleration can be calculated by using the change in velocity (final velocity - initial velocity) divided by the time it takes to change the velocity.
Since the baseball is stopped, its final velocity is 0 m/s. Therefore, the acceleration a is (-35 m/s) / 0.02 s = -1750 m/s² (the negative sign indicates a decrease in speed). Subsequently, the force F exerted can be calculated as (0.15 kg) × (-1750 m/s²), which results in -262.5 N. The negative sign indicates that the force is applied in the direction opposite to the baseball's motion.
Thus, the force exerted by the glove on the baseball is 262.5 N in the direction opposite to the initial motion of the baseball.
What force is required to move an object 8 m using 24 j of work?
Answer:
3N
Explanation:
Workdone = F x d
F = force
d = distance 8m
Workdone = 24J
24 = F x 8
Divide both sides by 8
24/8 = F x 8/8
3 = F
F = 3N
Figure 3
(b) The surface is tilted to an angle of 37 degrees from the horizontal, as shown above in Figure 3 The blocks are each given a push so that at the instant show
Other
they are
go de
1. Each block has a mass of 0.20 kg Calculate the magnitude of the net force exerted on the two block system at the instant shown above
Answer:
3.92 N (straight down)
2.36 N (down, parallel to the plane)
Explanation:
The only force acting on the system is apparently that due to gravity. The mass of the system is the sum of the masses of the blocks, so is ...
0.20 kg + 0.20 kg = 0.40 kg
The force due to gravity is given by ...
F = ma = (0.40 kg)(9.8 m/s²) = 3.92 N . . . (straight down)
That force is acting straight down, so is at an angle with respect to the direction the blocks are constrained to move.
The force down the plane is (3.92 N)·sin(37°) ≈ 2.359 N . . . (down the plane)
_____
Comment on the answer
We have given two answers to the question, because in this frictionless system, the force acting normal to the plane of motion is irrelevant to the system dynamics. The question asked for the net force on the system, which is the force due to gravity, so we have given that magnitude also.
The parallel force on the block system is 2.36 N
The perpendicular force on the bock system is 3.13 N.
The given parameters;
mass of the first block, m₁ = 0.2 kgmass of the second block, m₂ = 0.2 kgangle of inclination, θ = 37⁰The magnitude of the net force exerted on the block system is calculated as follows;
The parallel force on the block system is calculated as;
[tex]F_{||} = mg \times sin(\theta)\\\\F_{||} = (0.2 + 0.2)\times 9.8 \times sin(37)\\\\F_{||} = 2.36 \ N[/tex]
The perpendicular force on the bock system;
F⊥ = mg x cos(Ф)
F⊥ = (0.2 + 0.2) x 9.8 x cos(37)
F⊥ = 3.13 N
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compass needle normally points toward Earth's magnetic pole, which is near the North Pole. Which best explains why the
eedle moves away from the pole when it comes close to a current-carrying wire?
Current within the wire weakens the magnetic force of the pole.
Magnetism surrounding the wire weakens the magnetic force of the nole
Answer:
compass needle normally points toward Earth's magnetic pole, which is near the North Pole. Which best explains why the
eedle moves away from the pole when it comes close to a current-carrying wire?
Current within the wire weakens the magnetic force of the pole.
Magnetism surrounding the wire weakens the magnetic force of the nole
Explanation:
Answer:
(D)
Explanation:
A compass needle normally points toward Earth’s magnetic pole, which is near the North Pole. Which best explains why the needle moves away from the pole when it comes close to a current-carrying wire?
Current within the wire weakens the magnetic force of the pole.
Magnetism surrounding the wire weakens the magnetic force of the pole.
Current within the wire draws the needle toward the wire.
Magnetism surrounding the wire draws the needle toward the wire.
What can occur in a physical change?
17. Which of the following is the closest weight in newtons of a 7.0-kilogram
bowling ball? *
A. 7.0 newtons
B. 70 newtons
C. 700 newtons
d. 7000 newtons
Weight = (mass) x (gravity)
Weight = (7.0 kg) x (gravity)
On Earth, where (gravity) is roughly 10 N/kg . . .
Weight = (7.0 kg) x (roughly 10 N/kg)
Weight = roughly 70 Newtons
That's B on Earth.
It would be some other number on other bodies.
Final answer:
A 7.0-kilogram bowling ball on Earth would weigh approximately 70 newtons, as weight is calculated by multiplying mass by Earth's gravity (9.8 m/s²).
Explanation:
The weight of an object on Earth can be calculated using the formula Weight (N) = Mass (kg) × Gravity (m/s²). Since the standard acceleration due to gravity on Earth is approximately 9.8 m/s², a 7.0-kilogram bowling ball would have a weight of 7.0 kg × 9.8 m/s² = 68.6 N, which we round to 70 newtons (option B).
This conversion is crucial for solving problems that involve force and mass, such as questions on kinetic energy, momentum, and collision outcomes as typically covered in physics classes.
What is the maximum power consumption of a 3.0 V portable electronic device that draws (max) 270 mA of current?
Answer:
0.81 Watts
Explanation:
P = IV
P = (0.27 A) (3.0 V)
P = 0.81 W
What is the change in the direction of a wave when it passes obliquely from one medium to another called?
A
refraction
B
interference
C
diffraction
D
superposition
Answer:
Refraction?
Explanation:
(60 POINTS!!) Which lunar phase follows a waxing gibbous phase
a. Full
b. New
c. First quarter
d. Third quarter
After the waxing gibbous, the lunar phase is the full moon so the answer is A.
Answer:
A
Explanation:
Full moon is the phase after a waxing gibbous
Weight is a force that depends on mass and: *
A. friction
B. gravity
C. magnetism
D. energy conservation