Answer:
below
Explanation:
speed of light = wavelength X Frequency
3 x 10^8 m/s = 6.8 x 10^-7 X f
frequency = 4.41 x 10^14 hz ( or 441 TERAHERTZ)
Ima Rilla Saari rushes to her car in order to hurry home and get dressed for work. Failing to realize the dangers of driving under slick and icy conditions, she collides her 964.0-kg Mazda Miata into the rear of a 3280.0-kg pick-up truck which was at rest at the light on Lake Avenue. Ima's pre-collision speed was 12.1 m/s. Determine the 3280.0-collision speed of the two entangled cars as they slide across the ice.
Answer:
The collision speed of the two cars is 8.8 m/s.
What is the relation between wavelength and period of a wave?
The primary distinction between wavelength and period is that the former measures the shortest path between consecutive locations on a wave that are in phase, while the latter measures the amount of time needed for an oscillation to complete at a particular position.
What is the formula for a wave's period?T = 1 / f, where "T" stands for the period, or the length of time it takes for one cycle to complete, and "f" stands for frequency, which is the formula for the period. Convert frequency from Hertz to 1/s to obtain period from frequency. Multiply 1 by the frequency now. Time (period) given in seconds will be the outcome.
What are SI units and wavelengths?A meter, commonly abbreviated as m, is the SI unit of wavelength. The multiples or fractions of a meter are also used to measure wavelength. Notably, when wavelengths are a significant feature, exponential powers of 10 are used. Shorter wavelengths are described as having a negative exponential.
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how much energy must be used to produce 4.75 mol of gaseous water?: h20 (l) 44.0 kj -→ h2o (g) select one: a. 207kj b. 9.362 kj c. 206.8 kj d. 9.36kj
The amount of energy must be used to produce 4.75 mol of gaseous water is : 206.8 kJ. The correct alternative is option C.
To calculate the amount of energy required to produce 4.75 moles of gaseous water, we use the enthalpy of vaporization formula.
The enthalpy of vaporization of water is the amount of energy required to turn a given amount of liquid water into gaseous water at a constant temperature.
The enthalpy of vaporization of water is 44.0 kJ/mol.So, to convert 4.75 moles of liquid water into gaseous water, we multiply the enthalpy of vaporization by the number of moles:44.0 kJ/mol * 4.75 moles = 206.8 kJ.
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the displacement in meters of a certain vibrating mass is described by x(t)=0.005sin6t. what is the amplitude and frequency of its velocity
The object oscillates about the equilibrium position x0. such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by x(t) = A cos(ωt + φ).
A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).
The velocity of the object as a function of time is given by
v(t) = -ω A sin(ωt + φ),
and the acceleration is given by
a(t) = -ω2A cos(ωt + φ) = -ω2x.
The quantity φ is called the phase constant. It is determined by the initial conditions of the motion. If at t = 0 the object has its maximum displacement in the positive x-direction, then φ = 0, if it has its maximum displacement in the negative x-direction, then φ = π. If at t = 0 the particle is moving through its equilibrium position with maximum velocity in the negative x-direction then φ = π/2. The quantity ωt + φ is called the phase.
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A profeional ladder climber with a ma of 77 kg climb a 6 m tall ladder in 1. 3 econd. How much horepower did the ladder climber produce? (round to 1 decimal place if needed)
The ladder climber produced 4.7 Horsepower to climb a ladder of 6 meter height in 1.3 seconds.
Mass of the ladder climber, m = 77 kg
Height of the ladder, h = 6 m
Time, t = 1.3 sec
Energy to climb the ladder will be equal to the potential energy of the ladder climber at 6 m height. So the potential energy will be, p = mgh
p = 77 × 9.81 × 6
p = 4532.22 Joules
Power is defined as the time rate of doing a work. So, power = work/time
Power = 4532.2/1.3 = 3486.32 J/S
Power in horsepower = 3486.32/746 = 4.7 Horsepower
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If you were standing on the South Pole (with the south celestial pole in your zenith) atthe time of the vernal equinox, where would you see the Sun all day? A)On your horizon C)23.5° above the horizon B)Well below your horizon D)In your zenith
If you were standing at the South Pole during the vernal equinox (around March 20th-21st), the Sun would be well below your horizon all day.
At the time of the vernal equinox, the Sun is directly overhead at the equator. At the South Pole, the equator is to the north and the Sun is always below the horizon. If you were standing on the South Pole at the time of the vernal equinox, you would see the Sun well below the horizon. The vernal equinox marks the time when the Sun's rays are directly overhead at the equator. At the South Pole, however, the Sun is always located to the north of the observer, so it is always below the horizon and never rises or sets. As a result, the Sun remains well below the horizon at the South Pole throughout the day, even at the time of the vernal equinox.
Therefore, the answer is B) Well below your horizon.
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what is the linear charge density of a thin wire bent into a circle (or ring) of radius 7.48 cm if the total charge on the wire is 3.76 µc?
The required value of linear charge density of a thin wire bent into a circle is 0.08 × 10⁻⁴ c/m.
The wire is curved into a circular form.
The radius of the circle is given as R = 7.48 cm = 7.48 × 10⁻² m
The total charge on the wire Q = 3.76 µc = 3.76 × 10⁻⁶ c
The relation between total charge, radius and linear charge density is known as,
Q = 2 π R α
where, Q is the total charge
R is the radius of the wire bent into a circle
α is linear charge density
Making α as subject, we have,
α = Q /(2 π R) = (3.76 × 10⁻⁶)/(2 π ×7.48 × 10⁻²) = (3.76 × 10⁻⁶)/(46.97 × 10⁻²) = 0.08 × 10⁻⁴ c/m
Thus, the value of linear charge density of a thin wire is calculated to be 0.08 × 10⁻⁴ c/m.
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When an LED has 2 V applied to its terminals, it draws 100 mA and produces 2 mW of optical power. What is the LED's conversion efficiency from electrical to optical power?
The LED's conversion efficiency is the ratio of the optical power produced to the electrical power input. In this case, the LED has a conversion efficiency of 2 mW / (2 V * 100 mA) = 0.02, or 2%.
This means that 2% of the electrical power applied to the LED is converted into optical power, while the rest is lost as heat. This conversion efficiency is a measure of how effectively the LED converts electrical energy into light. To improve the LED's efficiency, engineers may work to reduce the amount of electrical energy lost as heat, or to increase the amount of electrical energy that is converted into light.
The LED's conversion efficiency is the ratio of the optical power produced to the electrical power input. In this case, the LED has a conversion efficiency of 2 mW / (2 V * 100 mA) = 0.02, or 2%.
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if you have a cart rolling down an inclined track and wish to calculate the acceleration of the cart, what value do you need to know about the track-cart system?
Acceleration on a ramp equals the ratio of the height to the length of the ramp, multiplied by gravitational acceleration.
What is track-cart system?
The Dynamics Cart and Track System provides students with the tools they need to explore kinematics, dynamics, momentum, and energy. This versatile system can also be easily adapted to study optics, color, and diffraction.A set of dynamic cart trolleys are used for investigation on momentum, velocity and acceleration. Each trolley consists of two rectangular wooden blocks, 300 mm long, moving on three low friction wheels (ball bearings in wheels). The trolley is fitted with spring loaded impulse rod.The Dynamics Cart and Track System provides students with the tools they need to explore kinematics, dynamics, momentum, and energy.Each cart is 310 x 310 x 90mm. Mass per cart is 600 grams. Cart colour is grey.To learn more about track-cart refers to:
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what effect or effects would be most significant if the moon's orbital plane were exactly the same as the ecliptic plane? group of answer choices solar eclipses would be much more frequent. solar eclipses would last much longer. solar eclipses would be much rarer.
Solar eclipses would be much more frequent if the moon's orbital plane were the same as the ecliptic plane
What is ecliptic plane?
The ecliptic plane is defined as the imaginary plane containing the Earth's orbit around the sun. In the course of a year, the sun's apparent path through the sky lies in this plane.The ecliptic is so named because the ancients noted that eclipses only occur when the Moon is crossing it.Ecliptic, in astronomy, the great circle that is the apparent path of the Sun among the constellations in the course of a year; from another viewpoint, the projection on the celestial sphere of the orbit of Earth around the Sun. The constellations of the zodiac are arranged along the ecliptic.The Earth orbits the Sun on a particular angle and its orbit is elliptical in shape. The orbit is often shown as an ellipse made of dotted lines with the Sun at its center. If you made this ellipse a solid surface and extended it infinitively, then you would have the plane of the ecliptic.To learn more about ecliptic plane refers to:
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Which equation can be used to calculate the time of impact when you have the impulse and force applied to an object?
Answer:
t=J/F
Explanation:
We know that impulse is given by J = Ft
where F is the force applied and t is the time of impact
Rearranging the equation, we get,
t = J/F
how much compression is exerted on the radius at the elbow joint when the biceps brachii, oriented at a 30° angle to the radius, exerts a tensile force of 200 n
The compression exerted on the radius at the elbow joint is approximately 70 N.
To calculate the compression exerted on the radius at the elbow joint, we must consider the vector components of the tensile force exerted by the biceps brachii.
The biceps brachii muscle is oriented at a 30° angle to the radius, which means that the force it exerts can be divided into two components: one perpendicular to the radius (the compression force), and one parallel to the radius (the tensile force).
Using trigonometry, we can calculate the perpendicular component of the force as follows:
compression force = 200 N * cos(30°) = 173 N
This means that the compression force is 173 N. However, it's important to note that this is an idealized calculation and does not take into account the effects of other muscles and tendons that may be present at the elbow joint, which can affect the actual compression force.
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use the scalar triple product to determine if the vectors u = i 4j − 2k, v = 2i − j, and w = 5i 11j − 6k are coplanar.
Answer:
40
Explanation:
as they are coplanar det =0
so =1(6)-4(-12)+(-2)(22-5)
=6+48-14
=40
Yes, they are coplanar as the scalar triple product is 0.
What is scalar triple product?
It is clear from the name alone that the scalar triple product of vectors refers to the combination of three vectors. It entails combining the cross product of the final two vectors with the dot product of one of the vectors. It's represented as [a b c] = (a b) c
Looking at the formula above, the following conclusions can be made:
i) A scalar quantity is always the resultant.
ii) The scalar triple product is calculated by first calculating the cross product of the vectors, then the dot product.
iii) The volume of the parallelepiped, whose three coterminous edges reflect the three vectors a, b, and c, is what the scalar triple product formula physically represents.
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9. A 45.0 kg ice skater stands at rest on the ice. A friend tosses the skater a 5.0 kg ball. The skater and the ball then move backwards across the ice with a speed of 0.5 m/s. What was the speed of the ball at the moment just before the skater caught it?
Answer:
The speed of the ball at the moment just before the skater caught it can be found using the conservation of momentum principle. According to the principle, the total momentum of the system before the collision (ball moving towards skater) is equal to the total momentum of the system after the collision (ball and skater moving backwards).
The momentum of the ball before the collision is m_ball * v_ball, where m_ball is the mass of the ball and v_ball is the speed of the ball. The momentum of the skater before the collision is 0, since she is at rest.
The momentum of the ball and skater after the collision is (m_ball + m_skater) * v_after, where v_after is the final speed of the ball and skater moving backwards.
So, we can set up the equation:
m_ball * v_ball = (m_ball + m_skater) * v_after
We know that the final speed of the ball and skater is 0.5 m/s and we know the masses of the ball and skater.
Solving for v_ball:
v_ball = (m_ball + m_skater) * v_after / m_ball
v_ball = (5.0 kg + 45.0 kg) * 0.5 m/s / 5.0 kg
v_ball = 9.0 m/s
Therefore, the speed of the ball at the moment just before the skater caught it was 9.0 m/s.
What is the gage pressure at the bottom of the tank filled with water to a depth of 5 ft when the tank accelerates upward at a rate of 3.0 ft/s2. p= __ psi
80.0 psi is the gage pressure at the bottom of the tank filled with water to a depth of 5 ft when the tank accelerates upward at a rate of 3.0 ft/s2.
To determine the gage pressure at the bottom of the tank, we need to calculate the pressure difference due to the acceleration of the tank and the pressure due to the weight of the water. The pressure due to the weight of the water can be calculated using the equation
=> p = ρgh,
here,
p is pressure,
ρ is density of water,
g is acceleration due to gravity,
and h is height of the water column.
The density of water = 62.4 lb/ft^3
Acceleration (gravity) is 32.2 ft/s^2.
Hence,
=> p = ρgh
= 62.4 lb/ft^3 x 32.2 ft/s^2 x 5 ft
= 10080 lb/ft^2
Next, we need to calculate the pressure difference due to the acceleration of the tank. The pressure difference due to acceleration can be calculated using the equation:-
=> Δp
= ρV^2/2g,
here,
V is velocity of the fluid,
g is acceleration due to gravity.
We can assume that the velocity of the fluid at the bottom of the tank is zero, and the acceleration of the tank is 3.0 ft/s^2.
Hence,
=> Δp = ρV^2/2g
= 62.4 lb/ft^3 x (3.0 ft/s^2)^2 / 2 x 32.2 ft/s^2
= 623.04 lb/ft^2
Finally, the gage pressure at the bottom of the tank can be calculated by adding the pressure due to the weight of the water and the pressure difference due to the acceleration of the tank. The gage pressure is given in pounds per square inch (psi), which can be converted from pounds per square foot by dividing by 144.
Hence,
=> p = (p + Δp) / 144
= (10080 + 623.04) lb/ft^2 / 144
= 80.0 psi
Therefore, the gage pressure at the bottom of the tank filled with water to a depth of 5 ft when the tank accelerates upward at a rate of 3.0 ft/s^2 is 80.0 psi.
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what fraction of the incident intensity of a sound pulse will be reflected when sound travels from fat into lung? express your answer in percent.
The fraction of incident intensity of a sound pulse that will be reflected when sound travels from fat into lung is 58.24%
What is sound?An elastic material medium allows sound, a mechanical disturbance from an equilibrium state, to travel through it. It is also possible to define sound solely subjectively, as that which is perceived by the ear. However, this definition lacks clarity and is overly constrictive, as it is useful to discuss sounds that are produced by devices other than the human ear, such as dog whistles and sonar equipment, which cannot be heard by the human ear.
Starting with the characteristics of sound waves is important when studying sound. Transverse and longitudinal waves are the two basic types of waves, which are distinguished by the way in which the wave moves.
[tex]$$\rho=$ Density of material\\$\mathrm{c}=$ Acoustic velocity\\\\Impedance is given by$$Z=\rho c$$Acoustic impedance of lung$$Z_l=\rho_l c_l=0.18 \times 10^6 \mathrm{kgs} / \mathrm{m}^2$$Acoustic impedance of fat$$Z_f=\rho_f c_f=1.34 \times 10^6 \mathrm{kgs} / \mathrm{m}^2$$[/tex]
[tex]$$Reflection coefficient is given by$$\begin{aligned}& R=\left(\frac{Z_l-Z_f}{Z_l+Z_f}\right)^2 \\& \Rightarrow R=\left(\frac{0.18 \times 10^6-1.34 \times 10^6}{0.18 \times 10^6+1.34 \times 10^6}\right)^2 \\& \Rightarrow R=0.5824\end{aligned}$$[/tex]
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Complete question:
If the tank to hold this water is 1.500 meters tall, what is the average velocity of a liter of water when it flows out of a faucet 1.000 meters above the floor on the ground floor?
The average velocity of a liter of water when it flows out of a faucet 1.000 meters above the floor on the ground floor is 1.82 m/s.
What is the time of motion of the water?The time taken for the water to fall from the given height is calculated as follows;
t = √ ( 2h / g )
where;
h is the height of fall of the waterg is acceleration due to gravityt = √[ ( 2 x 1.5 ) / ( 9.8 ) ]
t = 0.55 second
The average velocity of a liter of water when it flows out of a faucet 1.000 meters above the floor on the ground floor;
v = d / t
v = ( 1 m ) / ( 0.55 s )
v = 1.82 m/s
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a red blood cell contains 2.7 107 free electrons. what is the total charge of these electrons in the red blood cell?
The total charge of these electrons in the red blood cell - 4.3 × 10⁻¹² Coulombs. The result is obtained by multiplying the number of electrons by the charge or each electrons.
What is charge?Charge is a physical property of subatomic particles that causes objects experience a attractive force toward one another.
An electron has the charge of - 1.602 × 10⁻¹⁹ Coulombs. If there are n electron, the charge is
q = ne
Where
q = chargen = number of electrone = charge of an electronA red blood cell contains 2.7 × 10⁷ electrons.
Find the total charge!
The total charge of the electrons in the red blood cell is
q = ne
q = 2.7 × 10⁷ × (- 1.602 × 10⁻¹⁹)
q = - 4.3 × 10⁻¹² Coulombs
Hence, in the red blood cell, the total charge of the electrons is - 4.3 × 10⁻¹² Coulombs.
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what is the resolving power of the medium power objective if the condensor numerical aperture is 1.25, the medium power objective numerical aperture is 0.75, and the wavelength of light used is 520 nm?
The resolving power of the medium power objective in this case is 346.67 nm.
The resolving power of a microscope objective is a measure of its ability to distinguish two closely spaced objects. It is determined by the wavelength of light used and the numerical aperture (NA) of the objective. The NA is a measure of the ability of the objective to gather light from a sample and focus it onto the image plane. The higher the NA, the greater the resolving power. In this case, the NA of the medium power objective is 0.75 and the wavelength of light used is 520 nm. Using these values, we can calculate the resolving power as:
Resolving power = λ / (2 × NA)
Resolving Power = 520 nm / (2 × 0.75)
Resolving power = 520 nm / 1.5
Resolving power = 346.67 nm
So the resolving power of the medium power objective in this case is 346.67 nm.
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a spinning disk has a mass of 0.5 kg and a radius of 0.2 m. the disk is spinning at an angular velocity of 2 rad/s. what is the angular momentum of the disk? (i
Angular momentum in the absence of any external torque remains constant.
What is the angular momentum of the disk?
Suppose we have a disk of radius r and mass m travelling at velocity v. I want to calculate the instantaneous angular momentum with axis through the edge of the disc (on the circumference). Angular momentum =Iω. I=12mr2+mr2=32mr2 by the parallel axis theorem.The angular momentum of a particle rotating about an axis is defined as the moment of the linear momentum of the particle about that axis. It is measured as the product of linear momentum and the perpendicular distance of its line of action from the axis of rotation.Angular momentum is basically the product of the moment of inertia of an object and its angular velocity. Furthermore, both the quantities must be about the equal and the same axis i.e. the rotation line.
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hat is a property of electric potential energy? always a negative value inversely proportional to the distance between subject and source a vector quantity with direction determined by the electric flux independent of the subject's charge
The electric potential energy is inversely proportional to the distance between subject and source. Option a is the correct answer.
The electric potential energy of any given charge or system of charges is termed as the total work done by an external agent in bringing the charge or the system of charges from infinity to the present configuration without undergoing any acceleration.
Electrostatic potential energy is given by the formula, U = [1/(4πεo)] × [q1q2/d].
where, q1, q2 are the electric charges,
d is the distance between the charges.
As per the formula, the energy is inversely proportional to the distance between subject and source.
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--The complete question is, Which of these below is a property of electric potential energy of point charges?
a) inversely proportional to the distance between subject and source
b) independent of the subject's charge
c) a vector quantity with direction determined by the electric flux
d) always a negative value--
the following three hot samples have the same temperature. the same amount of heat is removed from each sample. which one experiences the smallest drop in temperature,and which one experiences the largest drop? sample a. 4.0 kg of water sample b. 2.0 kg of oil sample c. 4.0 kg of dirt
Sample A of 4.0 kg of water would experience the smallest drop in temperature since water has a higher specific heat capacity than oil and dirt.
This means that water requires much more energy to heat or cool by the same amount as oil or dirt. Therefore, when the same amount of heat is removed from each sample, the water sample experiences the smallest drop in temperature.
Sample C of 4.0 kg of dirt would experience the largest drop in temperature due to its low specific heat capacity, meaning that it takes less energy to heat or cool dirt than water or oil.
Therefore, when the same amount of heat is removed from each sample, the dirt sample would experience the largest drop in temperature.
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The internal energy of an ideal gas is changed by adding heat Q to the system and also by doing work W on the gas. What is the change in internal energy of the gas?
A)Q - 4.186W
B)Q - W
C)Q + W
D)W - Q
E) 4.186Q - W
When an ideal gas's internal energy is altered by both doing work W on the gas and introducing heat Q to the system, the result is Q - W.
Given the heat added = Q
Since the work is done on the system = W
We know that the change in internal energy is represented s:
ΔU = Q - W
The function's initial and final states determine the change in internal energy (U), whereas Q and W also depend on the path taken. The internal energy increases when the temperature does, and vice versa. The system's internal energy grows by the amount, U = Q, when the amount of heat Q is introduced to it while the system remains motionless. In the case of an endothermic reaction, the system produces heat and q has a positive sign. The system loses energy whenever it performs any work, hence the sign of w is negative.
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A bra rod i 2m long at a certain temperature. What i it length for temperature rie of 100k,if the expanivity of bra i 18×10-6k-1
The length of brass rod after expansion is 2.0036m.
How to calculate length?By definition, the length increase is:
Delta L = Alpha L_0 Delta TΔL=αL
naΔT
where alpha = 18 times 10^{-6}K^{-1}α=18×10−6
K-1
is expansion, L0 = 2 ml
na=2m is the initial length and Delta T = 100KΔT=100K is the temperature change. How to get:
Delta L = 18 times 10^{-6}cdot 2cdot 100 = 3.6 times 10^{-3} = 0.0036mΔL=18×10
−6
⋅2⋅100=3.6×10
−3
= 0.0036 meters
So the final length is:
L = L0 + delta L = 2 m + 0.0036 m = 2.0036 ml = l
0
na
+ΔL=2m+0.0036m=2.0036m
Linear expansion is the rate of increase in length of a solid sample per unit rise in temperature. If the length of the sample increases from l1 to l2 as the temperature increases by θ°, the expansion (α) is given by
l2 = l1(1 + αθ). This relationship assumes that α is independent of temperature.
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How long will it take for the plutonium to no longer exist?
Answer: Plutonium has a half life of 24,000 years meaning for plutonium to decay naturally, it would take 240,000 years.
Answer:
The time required for a radioactive substance to lose 50 percent of its radioactivity by decay is known as the half-life. Plutonium-238, plutonium-239, and plutonium-240 are isotopes of plutonium, and have half-lives of 87 years for plutonium-238, 24,065 years for plutonium-239, and 6,537 years for plutonium-240.
Explanation:
a photographer in a helicopter ascending vertically at a constant rate of 1.2m/s accidentally drops a camera out the winder when the helicopter is 62m above the ground. how long will it take the camera to reach the ground
The time by the camera to reach the ground is 3.43 seconds, if it was initially coming down at the speed of 1.2 m/s.
Initial speed of the camera, u = 1.2 m/s
Acceleration due to gravity, g = 9.81 m/s²
Height of falling, h = 62 m
Let the time taken by the camera, = t
Now, by the second equation of motion
h = ut + 0.5gt²
62 = 1.2×t + 0.5×9.81×t²
4.905t² + 1.2t - 62 = 0
On solving we get, t = 3.435 sec and - 3.68
Ignoring the negative value, t = 3.435 seconds
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Find the magnitude of the total electric force exerted on the charge q1.
The magnitude of the total electric force acting on q₁ charge is 1.487 Newton.
What is electric force?
Electric force is the attracting or repulsive interaction between any two charged things. Similar to any force, Newton's laws of motion describe how it affects the target body and how it does so.
The magnitude of the total electric force acting on q₁ charge is = kq₁/d²√(q₂² +q₃²)
= {8.99 × 10⁹ × (2.1 × 10⁻⁶)² √(2.0² + 3.0²) } ÷ (0.31)² Newton
= 1.487 Newton.
Hence, the magnitude of the total electric force acting on q₁ charge is 1.487 Newton.
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letter “c” is pointing to the force variable in the graph . What letter in physics is used to represent force
Answer:
Explanation:
Newton
2. A 1250 kg car is moving down the highway with a velocity of 32.0 m/s when it bumps into the car ahead of it which has a mass of 875 kg and a velocity of 25.0 m/s. After the collision, the two cars stick together. What will be the resulting velocity of the two cars together? How much energy will be lost in this collision?
Answer:
The resulting velocity of the two cars together can be calculated using the law of conservation of momentum, which states that the total momentum of the system before the collision is equal to the total momentum after the collision. The momentum of the first car before the collision is 1250 kg * 32 m/s = 40,000 kg m/s and the momentum of the second car before the collision is 875 kg * 25 m/s = 21,875 kg m/s. The total momentum before the collision is 61,875 kg m/s.
After the collision, the two cars stick together, so the final velocity of the two cars together is the same. Therefore, the momentum of the two cars together after the collision is (1250 kg + 875 kg) * v = 2125 kg * v = 61,875 kg m/s. Solving for v, the final velocity of the two cars together is v = 61,875 kg m/s / 2125 kg = 29.2 m/s.
The energy lost in the collision can be calculated using the equation E = 1/2 * m * v^2, where m is the mass of the system and v is the change in velocity. The mass of the system is 2125 kg and the change in velocity is 32 m/s - 29.2 m/s = 2.8 m/s. Therefore, the energy lost in the collision is E = 1/2 * 2125 kg * (2.8 m/s)^2 = 1/2 * 2125 kg * 7.84 m^2/s^2 = 6614.4 J (Joules).
Answer:
Energy lost in the collision = approximately 6.14 x 10^6 Joules.
Explanation:
The resulting velocity of the two cars together can be found using the principle of conservation of momentum. The total momentum before the collision is the momentum of the first car plus the momentum of the second car, and this total momentum will be equal to the total momentum after the collision.
Momentum = mass x velocity
Total momentum before collision = (1250 kg x 32.0 m/s) + (875 kg x 25.0 m/s) = 40,000 kg m/s
Total momentum after collision = (1250 kg + 875 kg) x velocity = 2125 kg x velocity = 40,000 kg m/s
Velocity = 40,000 kg m/s / 2125 kg = 18.84 m/s
To find the energy lost in the collision, we can use the equation for the change in kinetic energy (1/2 * m * (vf^2 - vi^2))
Change in kinetic energy = 1/2 * (1250 kg + 875 kg) * (18.84 m/s - (32.0 m/s + 25.0 m/s))^2 = 1/2 * 2125 kg * (-33.16 m/s)^2
= 1/2 * 2125 kg * 1103.69 m^2/s^2
Energy lost in the collision = approximately 6.14 x 10^6 Joules.
fill in the blanks.
a.Pressure is the..............applied per unit area.
b.The pressure..................as the depth of liquid increases.
