The distance fallen for a ball in free fall 1s from a rest positon. Hence it falls 5m in 1s and 125m in 5s.
Initial velocity (u) = 0
Gravitational acceleration (g) (g) = 10 m/s2
Using equation of motion,
S=ut+1/2 at2
for t=1s, a=g , u=0
s=0×t + 1/2g ×1
s= 1/2 × 10
s= 5 m
t=5s,
s=0×t + 1/2g ×5×5
s= 1/2 × 10 × 25
s= 5 × 25
s= 125 m
What is a simple definition of distance?The distance between two points, objects, lines, etc. Remoteness is the quality of being physically separated from another thing or person.
a line is drawn in the universe.
To walk seven miles in one hour would be too time-consuming.
a big area:
A wide body of water encircled the ship.
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An analog voltage is in the range 0v to 5v. if it can be measured with an accuracy of /- 50mv (100 mv steps), at most how many bits of information does it convey/represent?
The correct answer is 5.64.
Since the analogue signal is divided every 100 mV for accuracy of 50 mV, we have 50 discrete observations from 0 to 5V. Thus
It's given that the accuracy is +/- 50mV. This essentially means that the length of interval of permissible accuracy is 100mV.
Now, it's given that the analog voltage range is 0-5 V. So, the number of discrete points in 0-5V will be as follows:
50V/100mV.
Upon solving, it comes out to be 50.
The number of bits is defined by the formula log_2n, where n is the number of discrete points.
In this case, n = 50. Putting the value in the formula,
No of bits = log_2 50
Upon solving,
No of bits = 5.64
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A projectile is fired straight up from the south pole of earth with an initial speed vi = 15km/s. find the speed of the projectil when it is very far from the earth, neglecting air resistance
The calculated value is 2.5×10⁷ m.
Velocity is a term that describes the speed and direction of a point's motion. For example, a circular path's direction is always perpendicular to a line from the point to the circle's center. A point always moves in a direction that is tangent to its path (a radius). A vector measurement of the rate and direction of motion is what is meant by the term "velocity." Simply said, velocity is the rate of movement in a single direction.
From energy conservation, since the velocity will be 0 at highest point,
1/2 m (10000) ²− GMm/R
=− GMm/d
=10⁸/2 −(9.8) (6400000)
=−(9.8) *(6400000) ²/d
d≈2.5×107 m
Answer is 2.5×10⁷ m.
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8. Paige dropped a ball out of a car while her friend Destiny was traveling at a velocity of 25
m/s. The ball underwent a deceleration of -2m/s² and rolled to a stop on the pavement. How
long did it take the ball to stop?
Answer:
I think it's 12.5s
Explanation:
Bare with me, because I just started physics, but I think I have the answer right... Hopefully.
starting with your knowns, we know velocity is 25 m/s from the problem. you also can figure out your acceleration, -2 m/s.
You're looking for the time it takes until the ball stops rolling. Your time is unknown.
Your equation would be a=v/t (acceleration being a, velocity being v, and time being t)
You have to solve for t giving you t=v/a
Now you have to fill in your numbers. t=25m/s divided by -2m/s^2
Your answer should end up as -12.5
You have to solve for your units, but since you're finding time it's pretty straightforward in knowing you're dealing with seconds.
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Ice is melting a.conclusion b.observation c.experimentation d.inference
Answer:
b. Observation
Explanation:
You see ice melt in an experiment, so you record that as one of your observations.
a rower wanted to determine the speed of a river's current prior to going down a particular section of the river. she released a tracker into the river. the tracker sent her back the following information: after 4 seconds since the tracker was released into the river the tracker had traveled 7 meters. after 10.6 seconds since the tracker was released into the river the tracker had traveled 17.5 meters. assuming the river was flowing at a constant speed, what was the speed of the current on this section of the river?
The part of river's current moves at a 1.486 m/s speed.
the distance between two points, objects, lines, etc. Remoteness is the quality of being physically separated from another thing or person. a line drawn in the universe. To walk seven miles in one hour would be too time-consuming.
The difference between the change in distance and the change in time is used to compute the rate of change.
Rate: times the distance Time
The distance is 16.5 miles, and the time is 5.5 hours.
If we enter this into the formula above, it yields:
16.5 - 5.5 / 10.9 - 3.5 = 11/7.4 = 1.486 m/s is the rate of change.
Calculations show that the constant rate of change is 1.486 m/s.
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kangaroos are strong jumpers and can leap over an object 1.8m high, calculate a kangaroo's minimum vertical speed when it leaves the ground
The kangaroo's minimum vertical speed when it leaves the ground is 5.94 m/s
Data obtained from the questionFrom the question given above, the following data were obtained:
Maximum height (h) = 1.8 mFinal velocity (v) = 0 m/s (at maximum height) Acceleration due to gravity (g) = 9.8 m/s²Initial velocity (u) =?How to determine the initial velocity of the kangarooThe inintial velocity of the kangaroo can be obtained as illustrated below:
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 1.8)
0 = u² – 35.28
Collect like terms
u² = 0 + 35.28
u² = 35.28
Take the square root of both side
u = √35.28
u = 5.94 m/s
Thus, the minimum vertical speed of the kangaroo when it leaves the ground is 5.94 m/s
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the g string on a guitar is a 0.44-mm-diameter steel string with a linear density of 1.1 g/m . when the string is properly tuned to 196 hz, the wave speed on the string is 250 m/s. tuning is done by turning the tuning screw, which slowly tightens-and stretches-the string.
The g - string will stretch by 0.0016 mm.
We have a g - string of a guitar with given specifications.
We have to determine how many mm does a 75-cm-long g - string stretch when it’s first tuned.
According to the question -
The force of tension in the string -
[tex]$v = \sqrt{\frac{T}{\mu} }[/tex]
T = [tex]$v^{2} \mu[/tex] = 250 x 250 x 0.0011 = 68.75 N
The Yung modulus of steel = 2 x [tex]10^{11}[/tex] N/[tex]m^{2}[/tex]
the amount by which the g - string will be stretched is given by -
[tex]$\delta L = \frac{LT}{Y(\pi r^{2})}[/tex]
Substituting the values -
[tex]$\delta L = \frac{0.75\times 68.75 }{(2\times 10^{11} )\times (\pi (2.2 \times 10^{-4}\times 2.2\times 10^{-4}) )}[/tex]
[tex]\delta L=[/tex] 0.0016mm
Hence, the g - string will stretch by 0.0016 mm.
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[ The given question is incomplete. The complete question is
" The G string on a guitar is a 0.46-mm-diameter steel string
with a linear density of 1.1 g/m. When the string is properly
tuned to 196 Hz, the wave speed on the string is 250 m/s. Tuning
is done by turning the tuning screw, which slowly tightens—and
stretches—the string. By how many mm does a 75-cm-long G
string stretch when it’s first tuned? "]
a helicopter blade spins at exactly 80 revolutions per minute. its tip is 4.00 m from the center of rotation.
The linear speed of the helicopter blade is 33.51 m.
Tangential or linear speed of the bladeThe tangential speed of the helicopter blade is calculated as follows;
v = ωr
where;
ω is angular speed in radian per secondr is the radius of the circular pathω = 80 rev/min
ω = 80 x 2π rad/rev x 1 min/60s
ω = 8.378 rad/s
v = 8.378 rad/s x 4 m
v = 33.51 m
Thus, the linear speed of the helicopter blade is 33.51 m.
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The complete question is below:
Find the tangential speed of the helicopter's blade.
which is the movement of thermal energy from a region of higher temperature to a region of lower temperature?
The correct answer is convection.
Convection is the physical movement of material particles that transfers heat from a location of greater temperature to a region of lower temperature.
Convection is a heat-transfer process in which heat energy is transferred by the mass movement of fluid molecules, such as those found in gases and liquids. Under normal circumstances, gases and liquids are poor heat conductors, yet they are nonetheless capable of transferring heat.
Other than through diffusion, advection, or both, convection is the method used to transfer heat. Solids don't experience convection because the particles that make them up don't move.
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An auto dealer has 4 different cars and 6 different trucks. how many ways are there to select two vehicles?
There are C different ways to choose two different automobiles (12, 2).
In mathematics, a choice is made from a set of various components where the order of the choices is unimportant (unlike permutations).
For instance, there are three conceivable combinations of two given fruits, such as an apple, an orange, and a pear: an apple and a pear; an orange and an apple; or an orange and a pear. Formally speaking, a set S's k unique components make up a subset known as a k-combination. In other words, two combinations are same only if all of their members are the same.
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ecosystem A and wcosystem B have the same eight species, but ecosystem B has more distribution of species than ecosystem B. which ecosystem is mor diverse? expliain you reasoning.
Ecosystem A has more diversity, because it has greater species evenness than Ecosystem B.
Ecosystem :All the organisms and the physical setting they interact with make up an ecosystem. The nutrient cycles and energy flows connect these biotic and abiotic elements. Photosynthesis is how energy reaches the system and is absorbed by plant tissue.
Types of Ecosystem :Forest Ecosystem.
Grassland Ecosystem.
Tundra Ecosystem.
Desert Ecosystem.
What are the functions of ecosystem?Fundamentally, the way an ecosystem works is through the transfer of nutrients and energy up the food chain. The planet's plant and animal life, as well as the breakdown of organic matter and the creation of biomass, are all supported by these exchanges.
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If the equilibrium constant for a b c is 0.157, then the equilibrium constant for 2c 2a 2b is:__________
If the equilibrium constant for A + B = C is 0.157, then the equilibrium constant for 2C = 2A + 2B is 40.6.
What is Equilibrium Constant?
The equilibrium constant (K) of a chemical reaction is the relationship between the products and reactants when a chemical reaction reaches equilibrium. The equilibrium constant of concentration (Kc) of a chemical reaction at equilibrium is defined as the ratio of the concentration of products to the concentration of the reactants, each raised to their respective stoichiometric coefficients.
At equilibrium, Rate of the forward reaction = Rate of the backward reaction
Mathematically, it can be stated as:
[tex]r_f=r_b\\k_f\times \alpha\times [A]^a[B]^b=k_b\times \alpha\times [C]^c[D]^d[/tex]
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Let b be the basis of r2 consisting of the vectors [ 4 ] 2 and [ -2 ] 5 , and let r be the basis consisting of [ 2 ] -3 and [ -1 ] 2 . find a matrix p such that [x]r=p[x]b for all x in r2.
The value of matrix p will be[tex]\left[\begin{array}{ccc}9&1\\14&4\end{array}\right][/tex].
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you sit in a car that is moving at an average speed of 86.4 km/h. during the 3.3 s that you glance out the window, how far has the car traveled?
The distance travelled or how far the car has travelled in 3.3 second at constant speed of 86.4 km/h is 79.2 m.
What is speed?The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time. The average speed of an object over a period of time is calculated by dividing its distance traveled by the length of the interval. Velocity and speed are different concepts. Distance divided by time is the dimension of speed. The meter per second (m/s) is the metric unit used to measure speed.
Speed of car= 86.4 km/h
Since time is given in seconds, converting to km/h to m/s. For converting km/h to m/s, dividing the value given in km/h by 3.6
86.4 km/h= 86.4/3.6 m/s
= 24 m/s
Distance travelled= Velocity* Time
= 24 * 3.3
= 79.2 m
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If a fisherman applies a horizontal force with magnitude 42.5 nn to the box and produces an acceleration of magnitude 3.60 m/s2m/s2, what is the mass of the box?
The mass of the box is 11.80N
CalculationF= 42.5
a=3.60 m/[tex]s^{2}[/tex]
m=?
F=ma
m=F/a = 42.5/3.60
m=11.80N
Concept of force.The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Which three notions of force are there?Thrust, which increases an object’s velocity; drag, which decreases an object’s velocity; and torque, which causes changes in an object’s rotational speed, are all concepts connected to force.
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vector a has a magnitude of 31 units and points in the positive y-direction. when vector b is added to a, the resultant vector a b points in the negative y-direction with a magnitude of 16 units. find the magnitude and direction of b.
The correct answer is 47 units.
Arrows typically serve as a vector's geometric representation. The magnitude of the vector is determined by its length and the direction in which the arrow is pointing. When two vectors have the same magnitude and direction, they are said to be equal. Additionally, the magnitude and direction of vectors are unaffected by the vector's position.
A quantity with both magnitude and direction is referred to as a vector quantity. One example of a vector quantity is velocity. A two-dimensional vector can be expressed as,
A=A_Xi+A_Yj
Vector A=31 j
A+B=-16 j
Thus vector B is
B=(A+B)-A
B=(-16j)-31j
B=(-47)j
As a result, vector B has a magnitude of 47 units and is oriented in a negative Y direction.
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What are some best practices for different exercises and sports performed:
at high altitude?
in hot weather?
in cold weather?
A student placed a short candle and a slightly taller candle in a small dish filled with baking soda as
shown in the figure. The child then lights both the candles and poured vinegar into the dish of baking
soda.
Baking Soda +
Vinegar
(a) What happens to the candles? Why? In what order?
(b) Mention one precaution the student needs to follow while pouring the vinegar into the dish of
baking soda.
a) As carbon dioxide is formed the shorter candle's flame goes off first, followed by the taller candle. This shows, that in absence of air, the flame goes off. Hence, the air is necessary for combustion.
b) Although both reactants are common home chemicals and foods, care should be taken to avoid splashing in the eyes, and protective clothing should be used. The reaction's byproducts can be disposed of by thoroughly filling the sink with water and washing down the sink with no chemicals touched.
Baking soda and vinegar react with one another to create carbon dioxide gas. The carbon dioxide gas sinks to the bottom of the bowl because it is heavier than the air around it. More and more carbon dioxide gas is produced as the reaction progresses, progressively filling the bowl as it does so. The flame will go out owing to a shortage of oxygen once the level of carbon dioxide reaches that of the flame.
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A neon lamp indicator draws a current of 0.5A. How many electrons are moving through the lamp per second? Charge on the electron= -1.6 x 10-¹⁹ C
The number of electrons is 1.9 * 10^20 electrons.
How many electrons move through it?We know that it is possible to obtain the charge that the electron carries by the use of the formula;
Q = It
Q = magnitude of charge
I = current
t = time taken
Now we have the charge as;
Q = 0.5 A * 60 s = 30 C
Given that;
Q = ne
Q = charge
n = number of electrons
e = magnitude of electronic charge
n = Q /e = 30 C / 1.6 x 10-¹⁹ C
n = 1.9 * 10^20 electrons
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Calculate the potential energy of a person who weighs 80n standing on top of the sunshine bridge 300 meters in the air
73.5 kilojoules are the answer. Since we can compute potential energy, we can convert 250 into 9.8 into 30 into 73500 joules, or u equal to m g h. Consequently, the body's potential energy will be 73500 joules, which is the necessary amount.
This potential energy calculator allows us to calculate the amount of energy that an elevated object has stored inside it. The full name of this effect is gravitational potential energy, and it refers to the energy that an item stores as a result of its height or vertical position.
The great wrecking ball of the crane. The ball's gravitational potential energy depends on both its mass and how high it is elevated. The relationship between gravitational potential energy and an object's mass and height is seen in the following equation:
PE Gravity equals (m, h, and g). The formula is rather simple to comprehend. The height of a non-raised object will be zero, and as a result, it will have no potential energy.
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. A 2 kg ball is thrown with an acceleration of 40 m/s². What is the
force exerted on the ball?
When a 2 kg ball is thrown with an acceleration of 40 m/s². The
force exerted on the ball is 80 N.
According to Newton's second law of motion
F = ma
where, F = force exerted on the object, m = mass of an object and a = acceleration of the object.
Here, m = 2 kg, a = 40 m/s². so, F = ?
Therefore, force (F) exerted on the ball = 40x2 = 80 N
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A cheetah is running at a speed of 18.0 m/s in a direction of 54° north of west. Find the components of the cheetah's velocity along the following directions.
(a) the velocity component due north
b) the velocity component due west
The velocity component due north of the cheetah is 14.56 m/s.
The velocity component due west is 10.58 m/s.
Component's of the cheetah's velocity
The component's of the cheetah's velocity is calculated as follows;
velocity component due northVy = V sinθ
Vy = 18 m/s x sin(54)
Vy = 14.56 m/s
velocity component due westVx = V cosθ
Vx = 18 m/s x cos(54)
Vx = 10.58 m/s
Thus, the velocity component due north of the cheetah is 14.56 m/s.
The velocity component due west is 10.58 m/s.
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A hiker walks 4.24m, north and 13.32 m, E. What is the magnitude of his resultant displacement.
Answer:the magnitude of the hikers resultant displacement
Explanation:
NEED HELP ASAP CURRENTLY FAILING!!!
You need to be at the Houston International Airport by 4pm to make your flight. You are currently in Helotes
which is 213 miles away. If you leave at 12:30 pm, what will your average speed need to be to make it to the airport on
time
Explanation:
12:30pm -> 04:00pm = 3hrs 30mins
3hr 30mins= 3.5hrs
average speed=total distance/total time
=213÷3.5
=60.8571428571
round to 2 decimal places
=60.86 mph
What would the shape of the graph be if a speed of 50.0 km/hr is maintained from
10 s to 20 s? I
Answer:
The graph would increase constantly as shown above until it reached 50m/s. At 10s, the graph would be flat at 50m/s until 20s.
Explanation:
A piece of copper foil has a mass of 3.1118 g, a length of 12.10 cm, and a width of 11.67 cm. assuming the foil has a uniform thickness, what is its thickness in units of mm?
The correct answer is 0.024cm.
The density of a substance determines how heavy it will be in a given volume. It is technically the mass of that material per unit volume. It is implied by this that a specific material weighs a specific quantity relative to its volume.
A substance's density determined how heavy it would be at a particular size. It is an inherent quality that is not affected by geography, such as a shift in the globe.
density of copper = 8.93 g/cm3
mass = 3.1118 g
Density= mass/volume
8.93= 3.1118 /volume
volume=3.1118/8.93
=0.348 cm^3
Volume = l×b×t
T= volume/ l×b
=0.348 cm^3/12.10×11.67
=0.348 /141.2
=0.0024×10mm
=0.024cm
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Arlo throws a rock down with speed 14 m/s from the top of a 30 m tall cliff. what is the rock's speed just as it hits the ground?
The rock's maximum speed just as it hits the ground is 28m/s.
Given that the initial speed of the rock is u = -14m/s. (speed taken as negative because the rock thrown down from the cliff)
The height of the tower is h=30m.
Taking height of the tower as origin, then final position of the rock is s= -h= -30m.
On applying the second equation of motion:
s= ut +¹/₂ at²
-30 = -14t+0.5×(-9.8)t²
4.9t²+14t-30=0
On Solving the equation we get, t=1.43s.
To calculate that final speed when rock hits the ground, we apply first equation of motion:
v=u+gt
v=-14+(-9.8)(1.43)
v=-28m/s.
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calculate the magnitude of the electric field (in n/c) at 4 m from a point charge of 3.9 µc. you should round the answer to an integer, indicate only the number, do not include the unit. hint: 1µc
The magnitude of magnetic field is 2194 N/C
Given,
r = 4 m
Q = 3.9 µC
Q = 3.9 × 10⁻⁶ C
Let, the electric field is " E "
E = (k × Q/r²)
E = (9×10⁹×3.9×10⁻⁶/4²)
E = 2193.75 N/C
E = 2194 N/C
A magnetic discipline is a vector field that describes the magnetic affect on moving electric prices, electric powered currents, and magnetic substances. A shifting charge in a magnetic subject reviews a pressure perpendicular to its personal velocity and to the magnetic area.
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All solenoids that operate on alternating current must have a(n) ____________________ coil.
Answer:
Shading coil
Explanation:
The shading coil prevents the solenoid vibrate
Hope this helps
If h is the water's height, the volume of the water is v = r2h. we must find dv/dt. differentiating both sides of the equation gives the following. dv dt = r2
If h is the height of the water, then the volume of water is v = r2h. We get [tex]dv/dt[/tex] equal to 0.00994 m/min.
Here, radius = 8m
We have, [tex]V = \pir2h[/tex]
[tex]dV/dT= (\pir2) dh/dt[/tex]
[tex]dV/dT= (\pi82) dh/dt[/tex]
[tex]dV/dT= (\pi64) dh/dt[/tex]
Given [tex]dV/dT = 2[/tex]
Therefore, [tex]dh/dt = 2/(64\pi) = 0.00994 m/min[/tex]
From the definition = a by way of integrating the preliminary velocity, v(0), and the consistent acceleration, one might also find the velocity at a later time, t.
(value of acceleration) means the rate of change of significance of the speed with recognize to time. then again |
| approach the magnitude of the price of change in speed with recognize to time (i.e. the importance of acceleration).
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