A 43-kg rock is dropped from a 36 m, experiencing a Uniformly Accelerated Motion and falling to the ground 2.7 s later.
What is a Uniformly Accelerated Motion?A Uniformly Accelerated Motion is a motion in which the acceleration of the object is constant.
A 43 kg rock is dropped from a 36 m tower. Given the only acceleration is that of gravity, we can calculate the time required to hit the ground using the following kinematic equation.
s = 1/2 × a × t²
t = √(2s / a)
t = √[2 × 36 m / (9.8 m/s²)] = 2.7 s
where,
s is the displacement.a is the acceleration.t is the time.A 43-kg rock is dropped from a 36 m, experiencing a Uniformly Accelerated Motion and falling to the ground 2.7 s later.
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Suppose a spacecraft of mass 17000 kg is accelerated to 0.14c. How much kinetic energy would it have? If you used the classical formula for kinetic energy, by what percentage would you be in error?
Answer:
1.32% error
Explanation:
You can derive the relativistic kinetic energy by integrating the velocity function over a differential change in momentum. Then use integration by parts to get the answer of:
[tex]KE=mc^2[gamma-1][/tex]
Gamma is the lorentz factor equal to:
[tex]gamma=\frac{1}{\sqrt{1-(v/c)^2}}[/tex]
Therefore the relativistic kinetic energy would be:
[tex]KE=mc^2[\frac{1}{\sqrt{1-(v/c)^2}}-1][/tex]
Plug everything in to get:
[tex]KE=(17000)(3x10^8)^2[\frac{1}{\sqrt{1-(0.14c/c)^2}}-1][/tex]
[tex]KE=(17000)(9x10^{16})[\frac{1}{\sqrt{1-0.0196}}-1][/tex]
[tex]KE=1.53x10^{21}[\frac{1}{\sqrt{1-0.0196}}-1][/tex]
[tex]KE=1.52x10^{19}J[/tex]
The classical non-relativistic formula for kinetic energy is:
[tex]KE=\frac{1}{2} mv^2[/tex]
Therefore the classical kinetic energy is:
[tex]KE=1.50x10^{19}J[/tex]
Use the error percentage formula, found online if you dont recall:
[tex]error=\frac{|KE_c-KE_r|}{KE_r} \frac{100}{1} =1.32[/tex]
PLS HELP!!
The speed of light is 300,000,000 m/s. What is the frequency of microwaves with a wavelength of 0.01 meter?
Answer:
c = 3.00E8 m/s speed of light
c = f * λ frequency ^ wavelength
f = c / λ = 3.00E8 m/s / .01 m = 3.00E10 / sec
f = 30,000,000,000 /sec
The distance between a Point on one wave and the same point on the next cycle of the wave
Answer:
wavelength
Explanation:
the definition of wavelength is the distance between two consecutive waves. with that being said, the point from the crest of one wave to the crest of another would be wave length
Each degree on the Kelvin scale equals how many degrees on the Celius scale
Answer:
0° C = 273.15 K
0 K = - 273.15° C
Explanation:
Hello there!
The Kelvin temperature scale refers to the absolute temperature scale. The division in the Kelvin scale is equal to a degree on the Celsius scale only it's difference is zero
The Celsius scale of zero (0°C) is the freezing point.
0 K is Absolute Zero.
•°• 0 K = - 273.15° C
0° C = 273.15 K
Furthermore, this is what I would like you to know about this scales;
The Kelvin scale is used for very low or very high temperatures where water is not involved.
Note:
The boiling point of water is 100°C.
I hope this helps you to understand more on this scales. Have a nice studies.
A truck travelling at 22.5 m/s decelerates at 2.27 m/s2. (a) How much time does it take for the truck to stop? (b) How far does it travel while stopping? (c) How far does it travel during the third second after the brakes are applied?
We can use the "suvat" method
s is displacement
u is initial velocity
v is final velocity
a is acceleration
t is time
We substitute in what we know...
s = ?
u = 22.5 (the speed/velocity the trucks is initially)
v = 0 (the truck comes to a stop)
a = -2.27 (negative because it is decelerating
t = ?
[tex]\text{suvat formulae}:\\v = u + at\\s = ut + \frac{1}{2}at^2\\v^2 = u^2 + 2as\\s = \frac{v+u}{2}t\\s = vt - \frac{1}{2}at^2[/tex]
We have [tex]u[/tex], [tex]v[/tex], [tex]a[/tex] and we want to find the time for how long it takes the truck to stop.
We can use [tex]v = u + at[/tex]
[tex]v = u + at\\0 = 22.5 - 2.27 \times t\\\frac{-22.5}{-2.27} = t\\t = 9.91...\ \text{s}[/tex]
To find the distance (displacement), we can use [tex]s = ut + \frac{1}{2}at^2[/tex]
[tex]s = ut + \frac{1}{2}at^2\\s = 22.5 + \frac{1}{2} \times -2.27 \times 9.91^2\\s = -88.9661935\ \ \text{(we make it positive since you can't have negative distance)}\\s = 88.97...\ \text{m}[/tex]
To find the distance travelled 3 seconds after breaks are applied;
We just use the same formula, but with [tex]t = 3[/tex]
[tex]s = ut + \frac{1}{2}at^2\\s = 22.5 \times 3 + \frac{1}{2} \times -2.27 \times 3^2\\s = 12.285\ \text{m}[/tex]
The way roughness of surfaces affects kinetic friction is called the __________ of kinetic friction?
Answer:
coefficient
Explanation:
What is the term for trade without barriers, tariffs, or quotas?
A. Free trade
B. Trade deficit
C. Surplus trade
D. Trade bloc
When in a crowd, individuals may lose awareness of their own sense of individuality, and as a result may avoid taking responsibility or action.
True or false ?
This Subject is Actually Science So Am Stuck On This Question
Q: Objects in orbit appear to be weightless because
Options:
a. they are weightless
b. they are in free fall
c. their mass becomes zero
d. the applied gravity force becomes zero
Answer:
b. they are in free fall
Explanation:
-
two thin lenses of focal length 10cm and 20cm are placed in contract calculate the effective power of the combination
Answer:
20/3
Explanation:
We can use the formula : 1/R1 + 1/R2 = 1/f here
Therefore 1/10 + 1/20 = 3/20
And as it is 1/f its reciprocal will be 20/3
"The greater the height of an object, the *BLANK* its gravitational potential energy."
please help thank u!
Answer:
the greater the height of an object the *greater* its gravitational potential energy
greater
Why wave energy is different from other types of energy? Describe in your own words
Answer:
it is the most concentrated form of renewable energy on earth, with power density much higher than that of wind and solar energy.
Explanation:
The advantages of wave energy include being free, sustainable, renewable, and producing zero waste. Therefore, it can contribute to reducing our carbon footprint. It is also unique since it is the most concentrated form of renewable energy on earth, with power density much higher than that of wind and solar energy.
Question 8
What is the mass of an object if it takes a net force of 2,400 Newtons
to accelerate it at a rate of 60 m/s2?
Answer:
It has a mass of 40 kg.
Explanation:
Because Force = mass x Acceleration or F = m a, we could say that the mass is force/acceleration which in your case is 2,400/60 which equals 40 kg.
The current in the wires of a circuit is 120.0 milliAmps. If the
resistance of the circuit were halved (i.e., reduced to one-
half the original value) (with no change in voltage), then its
new current would be
milliAmps.
If the resistance of the circuit were halve and the voltage remains constant, the new current in the circuit would be 240 mA.
Current in the circuit
The current in the circuit is inversely proportional to the resistance of the circuit. This implies that the increase in the resistance of the circuit decreases the current in the circuit.
V = IR
At constant voltage;
I₁R₁ = I₂R₂
when, R₂ = 0.5R₁
I₂ = I₁R₁ /R₂
I₂ = I₁R₁ /0.5R₁
I₂ = 2I₁
I₂ = 2 x 120 mA
I₂ = 240 mA
Thus, if the resistance of the circuit were halve and the voltage remains constant, the new current in the circuit would be 240 mA.
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Answers for these 2 please
what is the type of energy possessed by moving water?
Answer:
hydro energy.
Explanation:
The energy possessed by fast-moving water is called hydro energy
A car moving south speeds up from 10 m/s to 40 m/s in 15 seconds. What is the car’s acceleration?
Explanation:
Initial velocity ( u ) = 10 m/s
Final velocity ( v ) = 40 m/s
Time taken ( t ) = 15 second
Now
[tex]acceleration = \frac{v - u}{t} \\ = \frac{40 - 10}{15} \\ = 2m /{s}^{2} [/tex]
Which parts of an X-ray image appear white because few X-rays reach the
detector?
A. Those that show where tissues transmitted the most X-rays
B. Those that show where tissues refracted the most X-rays
O C. Those that show where tissues reflected the most X-rays
D. Those that show where tissues absorbed the most X-rays
Answer:
D
Explanation:
Those that show where tissues absorbed the most X-rays.
7. The speed of a wave is 65 m/s. If the wavelength is 0.8 meters, what is the frequency of the wave?
Explanation:
velocity = wavelength × frequency
65 = 0.8 × frequency
frequency = 65/0.8=81.25Hz
if lens behave like prism and disperse light then why person using glass on eye can't see colour being dispersed?
Answer:
A prism can disperse light into different colors when the light enters the prism at a "fixed" angle - light coming in, perhaps, thru a narrow slit
If light can enter at all angles, then dispersion occurs at all angles and no dispersion can be seen
a rescue diver of mass 89 kg jumps from a hovering helicopter into the ocean below, what is the diver's speed (in m/s) when he hits the water
Answer:
Need the HEIGHT of the helicopter to complete this answer
Explanation:
PE (=mgh) is converted to KE ( = 1/2 mv^2 )
mgh = 1/2 m v^2
gh = 1/2 v^2
v^2 = 2 gh
v = sqrt (2gh) = sqrt ( 2 * 9.8 * h)
The frequency of a wave does not change as it passes from one medium to another.
What will most likely happen if a light wave moves from the air into a solid?
The wavelength of the light wave will increase.
The speed of the light wave will decrease.
The wavelength of the light wave will remain the same.
The speed of the light wave will remain the same.
Answer:
The Speed Of The Lightwave Will Be Modified As It Enters Another Medium (State Of Matter)
Explanation:
As The Lightwave Enters The Medium The Light Will Bend Toward The Normal E.g. Incident Ray Which Indicates It Will Modify It's Speed But When it Leaves The Medium It Will Increase Until As It Leaves The Sold
Answer:
B
Explanation:
its B on Edge
What is the wave where the oscillation is perpendicular to the direction
of motion.
FM radio means what?
Question 3 options:
Frequency measured in megahertz
Frequency measured in kilohertz
Frequency measured in hertz
Frequency measured in gigahertz
Answer:
frequency measured in megahertz
The fundamental frequency of a musical note is 330Hz. Which harmonic is this?
Answer:
it is a type of even harmonic
Calculate the useful output energy of an electric motor which is 70% efficient if it uses 600 J of electrical energy.
Answer:
420J
Explanation:
The formula (useful output ÷ total output) × 100 is used. We need to find the the useful output. So:
(useful ÷ 600) × 100 = 70(%)
We rearrange the formula so that 'useful' is the subject of the equation.
useful ÷ 600 = 0.7 {70 ÷ 100}
useful = 0.7 × 600
useful = 420J
Styrofoam holds onto its electrons because is has a high _____ for them.
a
polarization
b
affinity
c
insulator
d
conductor
Answer:
Polarization
Explanation:
Obviously, B wouldn't be it as objects don't have feelings. C, and D wouldn't be it also because the grammar of it doesn't fit.
If a electrician measures the current of a circuit to be 100 Amps and the circuit is only designed to have a current of 80 Amps, which of the following is the best explanation of what has happened to the circuit ?
A. a There are too many batteries in the circuit.
B. There are too many resistors in the circuit.
C. A battery in the circuit is missing.
D. A resistor in the circuit is missing.
There are too many batteries in the circuit, which increased the emf of the circuit and in turn increased the current in the circuit.
Current in the circuitThe current in the circuit is determined by applying Ohms law as shown below;
V = IR
where;
I is the currentV is the voltageR is the resistanceI = V/R
At a constant resistance of the circuit, the current in a circuit will increase when the emf of the circuit increases.
Thus, we can conclude that, there are too many batteries in the circuit, which increased the emf of the circuit and in turn increased the current in the circuit.
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five physical properties of metals
What scientific process would you be using as you identified the characteristics of the buttery
and leaves?
Answer:
The butterfly and moth develop through a process called metamorphosis.
Explanation:
hoped i helped