The elephant and the mouse having zero weight in a gravity free space will not bump into you at the same effect.
Explanation:
When both are in a gravity free space, the weights are zero, as we know that the[tex]\text {weight of the body}=\text {mass of the body} \times \text {acceleration due to gravity}[/tex]
[tex]\text {here, the weight of elephant}=\text {mass of elephant } \times \text {zero gravti} y=zero[/tex]
[tex]\text {similarly,weight of mouse}=\text {mass of mouse } \times \text {zero gravity}=zero[/tex]
But when they will acquire the speed of same magnitude, say v, their different masses will acquire different momentum, which will make the difference in effect while bumping.
[tex]\text { momentum of elephant }=\text { mass of elephant } \times v[/tex] [tex]\text { momentum of mouse = mass of mouse } \times v[/tex]
And as we know [tex]\text { mass of elephant }>\text { mass of mouse }[/tex] Therefore, effect of impact by elephant will be more than that of mouse . An elephant breaking into you will take you back faster than a mouse in space hits you.
a ball is rolled down hill with an initial velocity of 4.2 m/s. how far will it roll in 11.6s if it accelerates at 2.3m/s2
Explanation:
Given:
x₀ = 0 m
v₀ = 4.2 m/s
t = 11.6 s
a = 2.3 m/s²
Find: x
x = x₀ + v₀ t + ½ at²
x = 0 m + (4.2 m/s) (11.6 s) + ½ (2.3 m/s²) (11.6 s)²
x ≈ 203 m
Round as needed.
5. How much does a suitcase weigh if it has a mass of 22.5 kg?
Answer:
Weight of the suitcase, W = 220.5 N
Explanation:
It is given that,
Mass of the suitcase, m = 22.5 kg
Let W is the weight of the suitcase. The weight of an object is equal to the force acting on it due to the gravity. It is given by the product of mass and acceleration due to gravity.Mathematically, it is given by :
W = mg
[tex]W=22.5\times 9.8[/tex]
W = 220.5 N
So, the weight of the suitcase is 220.5 N. Hence, this is the required solution.
The weight of the suitcase is 220.5 Newton.
Given the following data:
Mass of suitcase = 22.5 kilograms.We know that acceleration due to gravity (a) for an object is equal to 9.8 meter per seconds square.
To find how much this suitcase weigh, we would determine the weight of the suitcase by using the value of its mass.
Mathematically, the weight of an object is calculated by using the formula;
[tex]Weight = mg[/tex]
Where:
m is the mass of an object. g is the acceleration due to gravity.Substituting the values into the formula, we have;
[tex]Weight = 22.5[/tex] × [tex]9.8[/tex]
Weight = 220.5 Newton.
Therefore, the weight of the suitcase is 220.5 Newton.
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what does a equal? 3/2 a -13=5
Answer:
a=12
Explanation:
- add 13 to both sides
3/2a = 5+13
- multiply by 2/3
2/3 * 3/2 * a = 2/3 * 18
a = 12
A man pulls a 50 kilogram box 20 meters across the floor with the aid of a rope tied to the box. The rope makes an angle of 30 degrees with the horizontal. In pulling the box the man exerts a force of 100 newtons. How much work is done by the man?
Answer:
1732.05 J
Explanation:
The man is doing 100N of force on the rope at an angle of 30° where he is pulling a box 20 meters across the floor.
Work is equal to the force exerted in the direction of motion multiplied by the distance.
Mathematically, Work=F×D×CosineФ
where F=force in newtons
D=displacement in meters
Ф=the angle between the force vector and the direction of motion
Substitute values in formula
Work=100×20×cosine 30°
Work=100×20×0.86602540378
Work=1732.05 J
decide which of the following day-to-day activities might be considered aerobic exercise?
1.surfimg the web
2.taking a catnap
3.mowing the lawn
4.paying bills
Answer:
3. Mowing the lawn
Explanation:
Aerobic exercise is any type of cardiovascular conditioning.
Mowing the lawn is the only thing that is actively moving.
Answer:
3- MOWING THE LAWN
Explanation:
Mowing the lawn is an aerobic exercise because it is use on a daily basis. lawn mower is a machine that is used to cut grass surface.
Mowing the lawn help to burn calories and It is an exercise comparable to running.
Mowing the lawn by pushing it acts as a form of cardiovascular exercise which makes the heart and lungs work harder .
Mowing the lawn begin in the legs which build up strength and burn down calories from the constant movement and muscles in the lower back can also be worked by mowing the lawn.
Stars release lots of energy in the form of what kind (or kinds) of light? A. visible only B. invisible only C. both visible and invisible
Answer: C. both visible and invisible
Explanation:
Stars not only emit light in the visible range of the electromagnetic spectrum (what our eyes can see), they also emit light that is "invisible" to our eyes, because we do not have the receptors to perceive those frequencies.
In this sense, among this invisible range is ultraviolet light and infrared, for example.
Therefore, among the proposed options, the correct one is C:
Both visible and invisible
A textbook is dropped from the second story stairs and free falls to the ground. What changes, if any, would be observed of the velocity and the acceleration of the textbook as it falls?
a.The velocity decreases
b.The velocity increases
c.The acceleration remains constantd.
Both B & C
Answer:
Option D) Both B and C
Explanation:
A textbook is dropped from the 2nd story stairs and falls freely. When an object falls freely, the only force acting on it is the force of gravity which results in a constant acceleration of g. So, whenever an object falls freely, its acceleration will be constant and equal to g(9.8 m/s²). Therefore, the acceleration of the textbook will remain constant. Option C is a correct option.
Since, the acceleration is constant and equal to 9.8 m/s², this implies that with every second, the velocity of the textbook will increase by 9.8 m/s. Since initial velocity is 0, the velocity after 1st second would be 9.8 m/s so that the acceleration is constant and equal to 9.8 m/s². Similar, after 1 sec the velocity is 9.8 m/s, so the velocity after 2 seconds would be 19.6 m/s so that the acceleration is constant and equal to 9.8 m/s². This way, after every second the velocity of the textbook, and every free fall object, increases by 9.8 m/s in ideal cases. So, option B is also correct.
Therefore, Both B and C are correct for the given scenario.
The textbook is in free fall motion because it is falling (in motion) due to gravity alone
The changes that will be observed are;
The velocity increases and the acceleration remains constant
The correct option is; Both B & C
Reason:
The type of motion of a text book dropped from the second story stairs is known as free fall motion
The kinematic equation of the motion is v = u + g·t
Where;
v = The velocity of the textbook
u = The initial velocity of the textbook = 0 m/s
t = The time after which it is dropped
g = The constant acceleration due to gravity ≈ 9.81 m/s²
Which gives;
v = g·t
Therefore, the velocity of the textbook increases as the time of free fall increases while the acceleration, g remains constant at 9.81 m/s²
Therefore, the correct option is both B & C
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What is the focus of community psychology
The focus of community psychology is to improve the quality of one’s life through prevention and second order change.
Explanation:
Community psychology travels beyond an individual approach and integrates “social, cultural, environmental and international influences” to promote positive change. Additionally, it makes health and personal responsibility at the individual and system levels. It uses different psychological and external perspectives to address the attitudes and behavior of communities, their relationships and the people involved.
Community psychologists try to promote healthy and empowering groups and communities. They use concepts and knowledge from various disciplines, such as social, ecology, and intercultural psychology. Second-order change means paying attention to the system and structures that are involved in the problem to suit the human-environment good.
A rocket moves upward, starting from rest with an acceleration of +30.0 m/s2 for 5.00 s. It runs out of fuel at the end of this 5.00 s and continues to move upward. How high does it rise? m
Answer:
The distance covered by the rocket after fuel ran out is [tex]3442.04 m[/tex]
Explanation:
Given that the rocket moves with an acceleration [tex]a=30m/s^2[/tex]
time [tex]t=5 s[/tex]
Since the rocket starts from rest initial velocity [tex]u=0 s[/tex]
The distance it travelled within this time is given by [tex]s=ut+ \frac{1}{2} at^2[/tex] [tex]=0 \times 5+ \frac{1}{2} (30\times25)=375 m[/tex]
Velocity at this point is given by [tex]v=u+at[/tex]
[tex]v=0+30\times5=150m/s[/tex]
Given that at this height it runs out of fuel but travels further. Here final velocity [tex]v=0[/tex](maximum height), initial velocity[tex]u=150 m/s[/tex] and time to zero velocity [tex]t=\frac{v}{g} = \frac{150}{9.8} =15.3 s.[/tex]
Thus it travels [tex]15.3 seconds[/tex] more after fuel running out. The distance covered during this period is given
[tex]s= ut+\frac{1}{2} gt^2=150 \times 15.3+1/2 \times9.8 \times 15.3^2=3442.04 m[/tex]
A scientific theory Question 4 options: Holds the highest level of acceptance Explains a number of facts Uses specific hypotheses and descriptive laws that have been well-tested All of the above None of the above
Answer:
All of the above
Explanation:
Scientific theories are explanations of various well known facts. They are hypotheses that best explain a scientific phenomenon. More development of theories doesn’t make it acceptable.
Instead they have to supported by the results of several tests performed by employing proper scientific methods. It is only after several years of thorough scientific research a theory is accepted as the best explanation of a phenomenon. Unlike facts that are accepted as universal truths theories can be proven wrong over time .
Answer:
all of the above
Explanation:
A soccer ball is kicked straight upwards with an initial vertical speed of 8.0 m/s. We can ignore air resistance. How long does it take the ball to have a downwards speed of 4.0 m/s?
Answer:
The time the ball it takes to have the downward speed 4 m/s is 1.22 sec.
Explanation:
Lets explain the motion of the ball
The ball is kicked straight upwards with an initial vertical speed of 8.0 m/s
Its velocity decreases util it reaches the maximum height
At the maximum height its velocity is equal to zero
Then it fall down to the ground
We can ignore air resistance
Lets find the time it takes the ball to reach the maximum height
The acceleration of gravity is -9.8 m/s²
The initial velocity is 8 m/s upward
The final velocity is zero
So lets use the rule v = u + gt, where v is the final velocity, u is the initial
velocity, g is the acceleration of gravity and t is the time
u = 8 , v = 0 , g = -9.8
Substitute these value in the equation above
0 = 8 - 9.8 t
Add 9.8 t for both sides
9.8 t = 8
Divide both sides by 9.8
t = 40/49 seconds
The ball falls withe initial velocity zero and increases to reach 4 m/s
The velocity 4 m/s is downward
The acceleration of gravity is 9.8 m/s²
By using the same rule
u = 0 , v = 4 , g = 9.8
4 = 0 + 9.8 t
4 = 9.8 t
Divide both sides by 9.8
t = 20/49
The time the ball it takes to have the downward speed 4 m/s is the sum
of the two times above
The time the ball it takes = [tex]\frac{40}{49}+\frac{20}{49}=\frac{60}{49}=1.22[/tex] seconds
The time the ball it takes to have the downward speed 4 m/s is 1.22 sec.
Easy, answer quick! What is diffusion?
Answer:
Diffusion is net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration. The concept of diffusion is widely used in many fields, including physics, chemistry, biology, sociology, economics, and finance.
Explanation:
Diffusion is the passive transport of molecules from an area of higher concentration to an area of lower concentration until the same concentration is reached throughout a space. Only molecules that are soluble in the medium and can cross barriers will diffuse. Variations on diffusion include the processes of filtration and osmosis.
Explanation:Diffusion is a process by which molecules disperse in space in response to differences in concentration. It is a passive transport process, requiring no energy, occurring naturally in various situations such as the dispersal of a sample of gas in a closed container. Molecules move from areas of higher concentration to areas of lower concentration until equilibrium is reached where concentrations are equal throughout.
A principle of diffusion is that only substances which are soluble and can cross the membrane will diffuse through it. This is seen, for example, in the process of osmosis, which is the diffusion of water through a concentration gradient in living systems.
Importantly, in living organisms, the rate of diffusion must match the rate of oxygen uptake and carbon dioxide removal for the process to work effectively.
There are variations to this process, such as filtration and facilitated transport, which also move substances in response to a concentration gradient but may be enhanced by other factors such as pressure.
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How does a molecule form?
Answer:
Molecules are made up of atoms that are held together by chemical bonds. These bonds form as a result of the sharing or exchange of electrons among atoms. The atoms of certain elements readily bond with other atoms to form molecules. Examples of such elements are oxygen and chlorine.
Explanation:
A molecule forms from electrons shared between two atoms. The correct option is B.
Atoms join forces and engage in interaction to create molecules. To achieve a stable electron configuration, this frequently entails sharing electrons between atoms.
Covalent bonds, a sort of chemical bond, are made possible by this sharing of electrons.
The exchange of electrons between two atoms at their outermost energy levels, or valence shells, results in covalent bonds.
Atoms can acquire a more stable structure and fill their outermost energy levels by sharing electrons, just like the noble gases do.
The atoms can achieve a lower overall energy state thanks to this electron sharing, which makes the molecule more stable than the sum of its parts.
Thus, the correct option is B.
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9. A wave on Beaver Dam Lake passes by two docks that are 40.0 m apart.
a. If there is a crest at each dock and another three crests between the two docks, determine the
wavelength.
b. If 10 waves pass one dock every 16.0 seconds, determine the period and frequency of the wave.
.
c. What is the speed of the wave?
Answers:
a) 10 m
b) time=1.6 s, frquency=0.625 Hz
c) 6.25 m/s
Explanation:
a) If there is a crest at each dock and another three crests between the two docks, and the wavelength [tex]\lambda[/tex] is the distance between to crests; this means we have [tex]4\lambda[/tex] in [tex]40 m[/tex]:
[tex]40 m=4\lambda[/tex]
Clearing [tex]\lambda[/tex]:
[tex]\lambda=\frac{40 m}{4}[/tex]
[tex]\lambda=10 m[/tex]
b) This part can be solved by a Rule of Three:
If 10 waves ---- 16 s
1 wave ----- [tex]T[/tex]
Then:
[tex]T=\frac{(1 wave)(16 s)}{10 waves}[/tex]
[tex]T=1.6 s[/tex] This is the period of the wave
On the other hand, the frequency [tex]f[/tex] of the wave has an inverse relation with its period [tex]T[/tex]:
[tex]f=\frac{1}{T}[/tex]
[tex]f=\frac{1}{1.6 s}[/tex]
[tex]f=0.625 Hz[/tex] This is the frequency of the wave
c) The speed [tex]v[/tex] of a wave is given by the following equation:
[tex]v=\frac{\lambda}{T}[/tex]
[tex]v=\frac{10 m}{1.6 s}[/tex]
Finally:
[tex]v=6.25 m/s[/tex]
Which would show an example of how physical changes are reversible? cutting a gold bar in two pieces and then putting the pieces next to each other burning a match and then relighting it melting tin and then cooling it into a mold combining sodium and chlorine to make the new material of table salt
Melting tin and then cooling it into a mold is an example of reversible physical changes.
Explanation:
When an object undergoes a change in size, state, or shape and not in their chemical compositions referred to as physical change. But chemical change occurs as a result of the change in substances composition. It also forms a new one by the combination/ breakage of one or more objects.
In the case of making gold cube into two pieces, there is no possibility of getting the original state again even the physical change happens. Match burning and relighting and sodium plus chlorine forming table salt show chemical change. But in tin melting and cooling it to form mold is the physical change i.e changes in state(liquid to solid) and are reversible too.
Answer:
yes, melting tin and then cooling it into a mold
Explanation:
Which would show an example of how physical changes are reversible?
cutting a gold bar in two pieces and then putting the pieces next to each other
burning a match and then relighting it
melting tin and then cooling it into a mold
combining sodium and chlorine to make the new material of table salt
Which is an example of something heated by conduction?
food heated in a microwave oven
a waffle iron heated by coils
pavement heated by the sun
a room heated by moving air
Answer:
A waffle iron heated by coils
Explanation:
A waffle iron heated by coils - conduction
Food heated in a microwave oven - radiation
Pavement heated by the sun - radiation
A room heated by moving air - convection
find the average velocity of a bicycle that starts 100km south and is 120km south of town after 0.4 hours
Answer:
The average velocity is 50 km/h south
Explanation:
The average velocity of an object is its total displacement divided by
the total time taken.
That means it is the rate at which an object changes its position from
one place to another.
Average velocity is a vector quantity.
The SI unit is meters per second.
A bicycle that starts 100 km south and is 120 km south of town after
0.4 hour.
The displacement = 120 - 100 = 20 km south
The time = 0.4 hour
The average velocity = [tex]\frac{D}{T}[/tex], where D is the displacement
and t is the time
The average velocity of the bicycle = [tex]\frac{20}{0.4}=50[/tex] km/h
The average velocity is 50 km/h south
If you want it in meter per second, change the kilometer to meter
and change the hour to seconds
1 km = 1000 m
1 hour = 60 × 60 = 3600 seconds
The average velocity of the bicycle = [tex]\frac{50(1000)}{3600}=13.89[/tex] m/s south
list these liquids from densest to least dense: water, oil, gasoline, seawater, and corn syrup.
Answer:
Greatest ~ Corn Syrup, Seawater, Water, Oil, Gasoline ~ Least
Explanation:
Density (g/mL)
Corn Syrup: 1.4 g/mL
Seawater: 1.029 g/mL
Water: 0.997 g/mL
Oil: 0.93 g/mL
Gasoline: 0.7489 g/mL
We have that for a list from densest to least dense we have
Corn syrup(1,380kg/m^3)Water (1026kg/m^3)Water (997kg/m^3)Oil(700–950 kg/m^3)Gasoline,(700–800 kg/m^3)
From the question we are told
list these liquids from densest to least dense:
Water,Oil,Gasoline,seawater, Corn syrup.
Generally
Density
This is simply defined as the ratio of mass to volume of a material or substance
Therefore
For a list from densest to least dense we have
Corn syrup(1,380kg/m^3)Water (1026kg/m^3)Water (997kg/m^3)Oil(700–950 kg/m^3)Gasoline,(700–800 kg/m^3)
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5. How far has a cyclist traveled if she has been moving at 30 m/s for 5.0 minutes?
Answer:
9000 m
Explanation:
To calculate the distance traveled by cyclist, using the relation between distance, velocity and time as
d = v × t
Here, d is distance traveled, v is velocity and t is time taken.
We have, v = 30 m/s and t = 5 min = 5×60= 300 s.
Substituting these values in above formula we get
d = 30 m/s × 300 s
d = 9000 m.
Thus, the distance traveled by cyclist is 9000 m.
Please help me with this question
A body is dropped from a height h from the state of rest. It covers a distance of 9h/25 in the last second. What is the height from which the body falls?(in meters)
A. 12.5
B. 1.25
C. 125
D. Zero
Answer:
C. 125
Explanation:
Given:
y₀ = h m
v₀ = 0 m/s
a = -10 m/s²
@ t − 1, y = 9/25 h m
@ t, y = 0 m
Find: h
Use constant acceleration equation:
y = y₀ + v₀ t + ½ at²
@ t:
0 = h + (0) (t) + ½ (-10) t²
0 = h − 5 t²
h = 5 t²
@ t − 1:
9/25 h = h + (0) (t − 1) + ½ (-10) (t − 1)²
9/25 h = h − 5 (t − 1)²
9/25 h = h − 5 (t² − 2t + 1)
9/25 h = h − 5 t² + 10 t − 5
0 = 16/25 h − 5 t² + 10 t − 5
Substitute:
0 = 16/25 (5 t²) − 5 t² + 10 t − 5
0 = 16/25 t² − t² + 2 t − 1
0 = -9/25 t² + 2 t − 1
0 = 9 t² − 50 t + 25
0 = (t − 5) (9t − 5)
t = 5/9 or 5
Since t > 1, t = 5.
Solving for h:
h = 5 t²
h = 125
A cat is moving at 18 m/s when it accelerates at 4 m/s2 for 2 second. what is his new velocity?
Answer:
26 m/s
Explanation:
What are four examples of properties?
Explanation:
physical and chemical properties. Examples of physical properties are: color, smell, freezing point, boiling point, melting point, infra-red spectrum, attraction (paramagnetic) or repulsion (diamagnetic) to magnets, opacity, viscosity and density. There are many more examples.
Which of the following best describes gravitational force?
A- An attraction between two objects that have mass.
B- An attraction between two objects due to their electrons.
C- The force that keeps atoms and molecules bound together.
D-The force that keeps objects from moving when they are at rest
this is for science class!!!!!!!!
The statement that best describes gravitational force is as follows:
An attraction between two objects that have mass.Thus, the correct option for this question is A.
What is Gravitational force?Gravitational force may be defined as a phenomenon that involves the force of attraction that occurs between objects that have significant masses in the universe, especially the attraction of the earth's mass to bodies near its surface.
This specific type of force is always applied to objects that have mass. This force generally works by attracting the mass object towards its surface. It is a type of universal attractive force which is directly proportional to the product of the masses of two bodies.
But still it is considered as the weakest force that significantly operating in the nature.
Therefore, the correct option for this question is A.
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A top-fuel dragster accelerates from rest to a velocity of 100 m/s in 8s. What is the acceleration
Answer:
Explanation:
a=v-u/t
v=final velocity
u=initial velocity
u=0(when a body starts from rest the initial velocity is 0)
v=100m/s
t=8s
a=100-0/8
=12.5m/s²
select all answers that apply.
which of the following words or phrases describe weather conditions?
A. less predictable
B. long term
C. always changing
D. expected
E. day-to-day
If you have to choose between being unemployed and accepting a job you do not like, you are likely to experience which type of conflict?
Answer:
Avoidance-Avoidance
Explanation:
You don't want either, but you have to pick one.
Final answer:
The type of conflict that you would likely experience when having to choose between being unemployed and accepting a job you do not like is called an intrapersonal conflict.
Explanation:
The type of conflict that you would likely experience when having to choose between being unemployed and accepting a job you do not like is called an intrapersonal conflict. This type of conflict occurs within an individual when they have conflicting desires or goals. In this case, you may have the desire to be employed and financially stable, but also the desire to find a job that you enjoy and are passionate about.
20. In a parallel RL circuit, 10 mA flows through the resistor and 4 mA flows through the inductor. What phase angle separates voltage and current in this circuit?
A. 18.6°
B. 28.6°
C. 24.6°
D. 21.8°
Answer:
Option D: 21.8 degrees
Explanation:
In a parallel RL circuit, the current in the resistor R and that in the inductor L are separated among themselves 90 degrees as illustrated in the attached image. In the image the current in the resistor is represented in orange, that of the inductor in blue, and the total current (vector addition of the previous two) is represented in red, forming a certain angle (theta) with respect to the current in the resistor. The output voltage is the same as the input voltage as measured over the resistor R.
Therefore, the phase angle that separated output voltage and total current can be obtained using the fact that tan(phase angle) = [tex]\frac{I_l}{I_R} = \frac{x}{y} \frac{4}{10}[/tex], therefore the angle is the arctangent of 4/10:
[tex]arctang(\frac{4}{10} )= 21.801[/tex] degrees.
Answer:
The phase angle between voltage and current in a parallel [tex]RL[/tex] circuit is 21.8°
Explanation:
In this question input voltage [tex]V_i_n[/tex] across both the components, the resistor and inductor is same since it is a parallel [tex]RL[/tex] circuit.
Current cross resistor [tex]I_R=10 mA[/tex]
Current across inductor [tex]I_L=2 mA[/tex]
Inductive reactance [tex]X_L= \frac{ V_i_n}{I_L} = \frac{V_i_n}{(2 mA)}[/tex]
Resistance of the resistor [tex]R= \frac{V_i_n}{I_R} = \frac {V_i_n}{(10 mA)}[/tex][tex][/tex]
Phase angle between voltage and current ∅ [tex] =tan^-^1 R/X_L[/tex]
[tex]=tan^-^1 \frac{(V_i_n /10)}{(V_i_n /2)}= tan^-^1 \ \frac{2}{10}=tan^-^1\ 0.4[/tex]
=21.8°
A car goes from 90.0m/s to a stop in 3.00s. What is the acceleration
Answer:
[tex]-30m/s^{2}[/tex]
Explanation:
The first equation of motion given as,
v = u +at
Here, u is initial and v is final velocity and a is acceleration and t is time taken.
As per question car initial velocity, u = 90 m/s, final velocity, v =0 and time taken, t = 3.00 s.
Substituting these values in first equation of motion, we get
0 = 90 m/s + a×3.00 s
or, [tex]a = \frac{-90m/s}{3.00s}[/tex]
[tex]a=-30m/s^{2}[/tex]
Thus, the deacceleration of the car is [tex]-30m/s^{2}[/tex]
The acceleration of the car that goes from 90.0 m/s to a stop in 3.00s is -30.0 m/s².
The acceleration of the car can be calculated by using the equation:
Acceleratin = (final velocity - initial velocity) / time
= (0-90)/3
= -30.0 m/s².
A cube made Of an unknown material has a height of 9 symeters the mass of this cube is 3645 g. calculate the density of this cube given this information
Answer: [tex]5 \frac{g}{cm^{3}}[/tex]
Explanation:
The density [tex]\rho[/tex] of a material is given by:
[tex]\rho=\frac{m}{V}[/tex] (1)
Where:
[tex]m=3645 g[/tex] is the mass of the cube
[tex]V[/tex] is the volume of the cube
Now, the volume of a cube is equal to the length [tex]L[/tex] of its edge to the power of 3:
[tex]V=L^{3}[/tex] (2)
If we know [tex]L=9 cm[/tex], the volume of this cube is:
[tex]V=(9 cm)^{3}=729 cm^{3}[/tex] (3)
Substituting (3) in (1):
[tex]\rho=\frac{3645 g}{729 cm^{3}}[/tex] (4)
[tex]\rho=5 \frac{g}{cm^{3}}[/tex] This is the density of the cube
1. What is the speed of a truck that travels 10
km in 10 minutes?
Answer:
60 km an hour. If you travel 10 miles in 10 mins there are 60 minutes in an hour so your traveling 60 miles an hour
Explanation:
The speed of the truck is 16.67 m/s
To calculate the speed of the truck, we can use the following formula:
speed = distance ÷ time
In SI notation, we denote speed in meters per second.
So, we convert 10 km to meters (1 km = 1000 m)
⇒ (10 × 1000) m = 10000 m
Now, we convert 10 minutes to seconds (1 minute = 60 seconds)
⇒ (10 × 60) s = 600 s
∴ speed = 10000 m ÷ 600 s = 16.67 m/s