The momentum of an object is directly proportional to its mass and velocity. Therefore, the momentum of the larger truck can be calculated as follows:
Momentum of larger truck = (2 x mass of smaller truck) x (1/2 x velocity of smaller truck)
Momentum of larger truck = (2 x m) x (0.5 x 20)
Momentum of larger truck = m x 20
This shows that the momentum of the larger truck is equal to the momentum of the smaller truck, as the increased mass is balanced by the decreased velocity.
In other words, the momentum of an object depends on both its mass and velocity, and changes in one factor can be compensated by changes in the other factor to maintain the same momentum.
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What does it mean when the wave
crests of a transverse wave move
closer together?
A. The amplitude is getting bigger.
B. The amplitude is getting smaller.
C. The wavelength is getting smaller.
D. The wavelength is getting bigger.
When the wave crests of a transverse wave move closer together it means the wavelength is getting smaller.
Briefing :The wavelength of a transverse wave is the distance from one peak to the next or from one dip to the next. The wavelength gets shorter as the crests or troughs get closer together. The wavelength increases as the distance between the crests and troughs increases.
How wavelength affect a transverse wave?One way to gauge the size of waves is by their wavelength. It is the separation of two matching waves' neighboring points. In a transverse wave, the medium's particles vibrate up and down perpendicular to the wave's path of propagation. A longitudinal wave's wavelength can be calculated as its length. A crest and a trough make up a transversal. The largest upward displacement is at the crest, while the maximum downward displacement is at the dip.
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Answer:
C. The wavelength is getting smaller.
Explanation:
Two bullets with the same mass collide in a gravity-free environment. The first bullet is travelling 400 m/s at an angle of 25 degrees above the positive x-axis. The second bullet is travelling 500 m/s at an angle of 50 degrees above the negative x-axis. If the bullets undergo a perfectly inelastic collision, what is the magnitude of their final velocity
The magnitude of the final velocity of the two bullets is 558.2 m/s.
Given: Mass of both bullets are the same. Mass of the first bullet, m₁ = mass of the second bullet, m₂Initial velocity of the first bullet, u₁ = 400 m/s at an angle of 25° above the positive x-axisInitial velocity of the second bullet, u₂ = 500 m/s at an angle of 50° above the negative x-axisSince the collision is perfectly inelastic, the two bullets will stick together and move with the same final velocity, v.So, we need to find the magnitude of the final velocity of the two bullets.Let the final velocity be v.
Then, we have,m₁u₁ + m₂u₂ = (m₁ + m₂)v [From the principle of conservation of momentum]
m₁u₁ = 0.66 × (m₁ + m₂) × v; m₂u₂ = 0.33 × (m₁ + m₂) × v
As we know that, magnitude of velocity = √(vx² + vy²)
Therefore, vx = v cos θ, and vy = v sin θ
The horizontal components of the velocities of both bullets are: v₁x = u₁ cos 25° = 375.635 m/s (towards the right) ; v₂x = u₂ cos 50° = -321.393 m/s (towards the left)
Adding the two horizontal components ,vx = v₁x + v₂x = 375.635 - 321.393 = 54.242 m/s (towards the right)The vertical components of the velocities of both bullets are: v₁y = u₁ sin 25° = 170.791 m/s (upwards); v₂y = u₂ sin 50° = 382.501 m/s (upwards)Adding the two vertical components, vy = v₁y + v₂y = 170.791 + 382.501 = 553.292 m/s (upwards)
Thus, the magnitude of the final velocity of the two bullets is√(vx² + vy²) = √(54.242² + 553.292²) = 558.2 m/s (approx)
Therefore, the magnitude of the final velocity of the two bullets is 558.2 m/s.
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A bus traveled down Interstate 35 at a speed of 75 km/h for 4 hours. How many kilometers was the bus speeding?
Answer:
300 kilometers
Explanation:
75 km x 4 = 300 km
An object has an acceleration of 18.0 m/s/s. If the net force
was tripled and the mass were halved, then the new
acceleration would be m/s/s.
Answer:
Force = mass × acceleration
\({ \boxed{ \rm{F = ma}}}\)
• For the first case;
\({ \tt{F = 18m}}\)
• For the second case;
\({ \tt{3F = \frac{1}{2} m \times a}} \\ \\ { \tt{F = \frac{1}{6}m \times \frac{1}{3}a }}\)
Then equate the equations:
\({ \tt{18m = \frac{1}{6} m \times \frac{1}{3}a }} \\ \\ { \tt{18 = \frac{1}{3} ( \frac{1}{2} \times a)}} \\ \\ { \tt{54 = \frac{a}{2} }} \\ \\ { \boxed{ \mathfrak{answer{ : \rm {a = 98 \: m {s}^{ - 1} }}}}}\)
About 50 000 years ago, in an area located outside Flagstaff, Arizona, a giant
4.5 x 107-kg meteor fell and struck the earth, leaving a 180-m-deep hole now
known as Barringer crater. If the meteor was traveling at 20 000 m/s upon
impact, with what average force did the meteor hit the earth?
Answer:
F_A =5.625*10^1^6N
Explanation:
From the question we are told that
50,000 years ago,
A giant 4.5 107-kg meteor
180-m-deep hole
20,000 m/s
Generally for this problem the energy change is given as
\triangle E=\frac{1}{2} mv^2 +mgd△E=
2
1
mv
2
+mgd
Having the potential and kinetic energy in place
Mathematically solving for Average forceF_AF
A
\triangle E=F_a*d△E=F
a
∗d
F_A =\frac{1/2* 4.5*10^7(20,000)^2-kg+4.5*10^7*9.81*160}{160}F
A
=
160
1/2∗4.5∗10
7
(20,000)
2
−kg+4.5∗10
7
∗9.81∗160
Therefore Average force F_AF
A
is given by
F_A =5.625*10^1^6N
What effect would a wider synapse have on the speed of a signal?
Answer:
In general, A/Ps win, but some synaptic signal transduction is much faster.
Explanation:
The answer depends on the synapse type:
A high-speed action potential (A/P) moves along an axon at ≈ 1 mm every 8.3 μs (≈ 120 m/s). Arriving at a terminal, the A/P voltage spike causes voltage-gated calcium channels to open, flooding the axon bouton with Ca ++
ions, triggering neurotransmitter release.
Three different types of synapse:
In chemical synapses, transport vesicles dump their payloads into the synaptic gap (via exocytosis), neurotransmitter molecules diffuse across a ≈ 20–40 nm gap, to be sensed by receptor proteins on the post-synaptic cell membrane. Together, this may result in significant synaptic delays (milliseconds).
In electrical synapses, gap junctions open, allowing charged ions (an electric current) to flow cross, with a very short delay from axon bouton polarization ⟶ ion flow ⟶ post-synaptic cell reception.
In retina horizontal cells — said to be using the fastest known synapse type — there is no synaptic delay.
Two people try to lift a heavy box. Jack pulls upward with a 100-newton
force. Jill pulls upward with a 50-newton force, but neither person moves the
box.
Compare the amount of work done on the box by Jack and Jill.
OA) Jack did twice as much work as Jill.
OB) Jack did fifty times more work than Jill.
OC) Jack and Jill did the same amount of work.
Answer:
A ( Jack did twice as much work as Jill
Explanation:
3.
How far can a person run in 15 minutes if he or she runs at an average speed of 16 km/hr
(HINT: Remember to convert minutes to hours.)
Answer:
about 4 km
Explanation:
15 minutes is a quarter of an hour, so you divide 16km by 4 to get your answer
1. Which of the following contains scarar quantities only a) Speed, energy b) velocity, energy (1) 9elocity, marmentum d) speed, displacement
The correct answer is: "d) speed, displacement". Speed and displacement are merely scalar. Speed is magnitude without direction, a scalar quantity. Displacement is a scalar quantity that only measures an object's position change.
The only scalar option is "d) speed, displacement." Scalar quantities can be described solely by their magnitude or numerical value. They have no vectors. Speed is a scalar quantity since it measures distance covered. It measures speed without direction.
Displacement means moving an object in a certain direction. Displacement is a scalar quantity if just the magnitude of the position shift is considered. Velocity is a vector quantity because it comprises magnitude (speed) and direction. It shows how fast an object changes direction. Momentum, the product of mass and velocity, is a vector quantity. Direction and magnitude. Therefore only "d) speed, displacement" is scalar since it includes speed (scalar) and disregards direction for displacement.
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you are stranded on an island and need to make a clock how would you build with pendulum that has a period of 1 second and another a period of 1 minute
To make the clock, the pendulum with time period 1 s must have a length of 0.248 m and the pendulum with time period 1 minute must have a length of 894.5 m.
What is time period of a pendulum ?Time period of a pendulum is the time taken by the pendulum to complete one oscillation.
Here,
The time period of the two pendulums are 1 second and 1 minute respectively.
Pendulum 1
T = 1 s
T = 2\(\pi\) √L/g
T/2\(\pi\) = √L/g
So, L = T²g/4\(\pi\)²
L = (1²x 9.8)/4x (3.14)²
L = 9.8/39.44
L= 0.248 m
Pendulum 2
T = 60 s
L = T²g/4\(\pi\)²
L = (60²x 9.8)/4x (3.14)²
L = 894.5 m
Hence,
To make the clock, the pendulum with time period 1 s must have a length of 0.248 m and the pendulum with time period 1 minute must have a length of 894.5 m.
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Why must the change in length, ?L be measured so carefully, while the length of the rod, L, can be measured relatively crudely with a meter stick?
The change in length, ?L, of a material due to thermal expansion is usually a very small fraction of the original length of the material. For example, the coefficient of linear thermal expansion of steel is around 11×10^-6 per degree Celsius. This means that for every degree Celsius increase in temperature, the length of a steel rod will increase by about 11 parts in a million.
To measure such small changes in length, very sensitive instruments are required, such as a strain gauge or an interferometer. On the other hand, measuring the original length of the rod, L, can be done relatively crudely with a meter stick or tape measure, since the length is typically several orders of magnitude larger than the change in length due to thermal expansion.
Therefore, to accurately measure the change in length of a material due to thermal expansion, it is crucial to use a highly sensitive instrument capable of detecting small changes in length, while measuring the length of the rod itself can be done with less precision.
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[acuña] why is the path you gave in the previous question the shortest path between 0 and 6? explain why this path produced by bfs is the shortest one.
Since the BFS algorithm explores the nodes in a systematic and organized manner, it is able to find the shortest path between 0 and 6. Therefore, the path produced by BFS is the shortest one.
The path given in the previous question is the shortest path between 0 and 6 because it was produced by the Breadth-First Search (BFS) algorithm.
The BFS algorithm explores all the neighboring nodes of a given node before moving on to the next level. It starts at the source node (0 in this case) and explores its immediate neighbors. Then, it moves on to the neighbors of those neighbors and continues until it reaches the target node (6).
The BFS algorithm guarantees that it will find the shortest path between two nodes in an unweighted graph. This is because it visits the nodes in increasing order of their distance from the source node. In other words, it visits nodes that are closer to the source before visiting nodes that are farther away.
Since the BFS algorithm explores the nodes in a systematic and organized manner, it is able to find the shortest path between 0 and 6. Therefore, the path produced by BFS is the shortest one.
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A penguin slides horizontally oof an ice shelf and land 5.00 meters its base in 1.20 sounds
1. The initial velocity of the penguin is 4.17 m/s
2. The height of the ice shelf is 7.056 m
1. How do I determine the initial velocity?The initial velocity of the penguin can be obatined as illustrated below:
Horizontal distance (s) = 5.00 metersTime taken (t) = 1.20 secondsInitial velocity (u) = ?s = ut
5 = u × 1.2
Divide both sides by 1.2
u = 5 / 1.2
u = 4.17 m/s
Thus, we can conclude that the initial velocity is 4.17 m/s
2. How do I determine the height of the ice shelf?The height of the ice shelf can be obtained as follow:
Time taken (t) = 1.2 secondsAcceleration due to gravity (g) = 9.8 m/s²Height of ice shelf (h) = ?h = ½gt²
h = ½ × 9.8 × 1.2²
h = 4.9 × 1.44
h = 7.056 m
Thus, we can conclude that the height of the ice shelf is 7.056 m
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Complete question:
A penguin slides horizontally off an ice shelf and land 5.00 meters from its base in 1.20 sounds
1. What is the initial velocity of the penguin?
2. What is the height of the ice shelf?
A closed circuit containing THREE of the same type of resistors has a current of 2 amps and TWO 9V batteries. How much resistance does EACH resistor have, in ohms?
The amount of resistance that each resistor has, in this closed circuit, given the batteries is 3 ohms.
How to find the resistance ?In a closed circuit, the total resistance (R_total) is equal to the sum of the individual resistances. We can use Ohm's law to solve for the resistance of each resistor:
Resistance (R) = Voltage (V) / Current (I)
Using Ohm's law, we can solve for the total resistance (R_total) of the circuit:
= V_total / I
= 18V / 2A
= 9 ohms
Since there are three identical resistors in the circuit, we can divide the total resistance by 3 to find the resistance of each resistor:
= 9 / 3
= 3 ohms
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What is the positive contribution that a philosopher makes to the question/problem of ethics
Answer:
There are many well-known figures in the history of ethics, including the Greek philosophers Plato and Aristotle. Since the mid-20th century, Aristotle's ethics has inspired the field of virtue theory, an approach to ethics that emphasizes human well-being and the development of character.
Explanation:
Hope this helps:) Goodluck!
The energy flux from the sun has a peak value of around 1500 W/m2, and solar cells are around
15% efficient. Estimate the area needed to satisfy US energy needs using solar cells, using the
estimates that there are about 350 million people in the US and that we use an average of 90
kW/person. Also assume that there are about 6 hours of "peak" sunlight per day. Answer in square
kilometers (do not put units in your answer, however).
Answer:
Power required = 3.5E8 * 9.0E4 = 3.2E13 (watts)
Power supplied = 1.5E3 * .15 * 3600 * 6 (watts / m^2) * A
= 1.5E3* .15 * 3600 * 6 = 4.9E6 * A
A = 3.2 / 4.9 * E7 = 3.2 / 4.9 * 10 = 6.5 km*2 (1 km^2 = 10E6 m^2)
Note: 1 W = 1 J / sec 1 kw = 1000 W
The area needed to satisfy US energy needs using solar cells 6.5 km²
What is energy?Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.
Power required = 3.5E8 * 9.0E4 = 3.2E13 (watts)
Power supplied = 1.5E3 * .15 * 3600 * 6 (watts / m^2) * A
= 1.5E3* .15 * 3600 * 6 = 4.9E6 * A
A = 3.2 / 4.9 * E7 = 3.2 / 4.9 * 10
= 6.5 km*2
The area needed to satisfy US energy needs using solar cells 6.5 km².
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What is the wavelength of the wave in the string
The standing wave in the figure has 4 nodes and 3 antinodes.
The wavelength of a standing wave is given by,
\(\lambda=\frac{2}{n}L\)Where n=number of nodes-1
From the figure n=3
Therefore the wavelength is,
\(\lambda=\frac{2}{3}L\)Therefore the wavelength of the stationary wave produced in the given string of length L is (2/3)L.
10. The Force between two objects is 2 Newtons. One object has a mass of 6.2kg.
If the distance between the center of one object to the center of the other
object is 45 meters, what is the mass of the second object? *
Answer:
\(m_2=9.79\times 10^{12}\ kg\)
Explanation:
Given that.
The force between two objects, F = 2 N
Mass of object 1, m₁ = 6.2 kg
Distance between the center of one object to the center of the other object, r = 45 m
We need to find the mass of the second object. Using the formula of gravitational force as follows :
\(F=\dfrac{Gm_1m_2}{r^2}\\\\m_2=\dfrac{Fr^2}{Gm_1}\\\\m_2=\dfrac{2\times (45)^2}{6.67\times 10^{-11}\times 6.2}\\\\m_2=9.79\times 10^{12}\ kg\)
So, the mass of the second object is \(9.79\times 10^{12}\ kg\)
In the analogy for how a wave travels along a line of dominoes standing on end, each domino represents___________.
Answer:
im 99% sure its initial disturbance
Explanation:
William Herschel thought he had found a comet when he spotted the green disk of: Neptune. Oberon. Uranus. Titania. Triton.
William Herschel thought he had found a comet when he spotted the green disk of Uranus.
Uranus is the seventh planet located far away from the Sun. It is a gaseous planet which was discovered in 1781, mistaken by a comet but after two years it was accepted as a planet. After decades of observations and only one close visit by a spacecraft, which shows us that Uranus has unique atmosphere.
Atmosphere of Uranus is mostly made up of hydrogen and helium as well as a small amount of methane and traces of water and ammonia. The presence of methane gas gives blue colour to Uranus so we can conclude that Uranus is the planet which was thought first a comet by William Herschel.
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4.
A steel plate that weighs 200 N and has a u with the asphalt of 0.6. If the steel
plate is sliding along the asphalt (constant velocity), what is the force of friction present?
Given
Want
Equation and solve
Answer:
120N
Explanation:
The question gives us Mg = 200 N and in this equation Mg is equal to the normal force. Kinetic friction is calculated by normal force * coefficient of kinetic friction. Therefore kinetic friction = 200N * 0.6 = 120N
A diving bell with interior air pressure equal to atmospheric pressure is submerged in Lake Michigan at a depth of 164.9 m. The diving bell has a flat, transparent, circular viewing port with a diameter of 26.41 cm. What is the magnitude of the net force on the viewing port
Answer:
The magnitude of the net force on the viewing port of the diving bell is approximately 5,777 N.
Explanation:
To find the magnitude of the net force on the viewing port of the diving bell, we need to consider the pressure difference between the inside and outside of the bell.
At a depth of 164.9 m in Lake Michigan, the pressure outside the bell can be calculated using the formula:
P = rho * g * h
where P is the pressure, rho is the density of water, g is the acceleration due to gravity, and h is the depth.
Using the given values, we have:
P = (1000 kg/m^3) * (9.81 m/s^2) * (164.9 m) = 1,622,829 Pa
The pressure inside the bell is equal to atmospheric pressure, which at sea level is approximately 101,325 Pa.
Therefore, the pressure difference is:
Δ P = P_outside - P_inside
Δ P = 1,622,829 Pa - 101,325 Pa = 1,521,504 Pa
To find the magnitude of the net force on the viewing port, we need to multiply the pressure difference by the area of the port:
F = Δ P * A
F = (1,521,504 Pa) * (0.2641 m)^2 * pi/4
F = 5,777 N
Therefore, the magnitude of the net force on the viewing port of the diving bell is approximately 5,777 N.
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A car weighing 12,000 N is parked on a 36° slope. The car starts to roll down the hill. What is the acceleration of the car?
Answer: 5.8 m/s squared
Explanation: just got that question lol
2) Who tested the theory "heat is just stuff moving around?"
Answer: James Joule
Explanation:
what is the inductance l of a coil connected to this capacitor if the oscillation frequency of the l-c circuit is 1.63 mhz , corresponding to one end of the am radio broadcast band, when the capacitor is set to its minimum capacitance?
The inductance (L) of a coil connected to a capacitor in an LC circuit can be determined by knowing the oscillation frequency and the minimum capacitance of the capacitor. In this case, with an oscillation frequency of 1.63 MHz corresponding to one end of the AM radio broadcast band, the coil's inductance can be calculated using the formula for the resonant frequency of an LC circuit and the given minimum capacitance value.
In an LC circuit, consisting of a coil (inductor) and a capacitor, the resonant frequency can be calculated using the formula:
f = 1 / (2 * π * √(L * C))
Where:
f is the oscillation frequency,
L is the inductance of the coil,
C is the capacitance of the capacitor,
and π is a mathematical constant (approximately 3.14159).
In this case, the oscillation frequency is given as 1.63 MHz (1.63 × 10^6 Hz), corresponding to one end of the AM radio broadcast band. We are interested in determining the inductance (L) when the capacitor is set to its minimum capacitance.
To find the minimum capacitance, we can refer to the specifications or adjust the capacitor to its minimum value according to the given context. Once we have the minimum capacitance value, we can rearrange the formula to solve for the inductance:
L = (1 / (4 * π^2 * f^2 * C))
Substituting the values, including the minimum capacitance, and solving the equation will yield the inductance (L) of the coil connected to the capacitor.
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What are the factors that change the pattern observed on a screen during Young’s double-slit experiment?
The factors that can change the pattern observed on a screen during Young's double-slit experiment are given below:1. Width of the slit. 2. Distance between slits. 3. Distance between slits and screen. 4. Wavelength of the incident light. 5. Refractive index of the medium.
The factors that can change the pattern observed on a screen during Young's double-slit experiment are given below:
1. Width of the slit. The width of the slit can influence the diffraction pattern that is observed on a screen. When the width of the slit decreases, the central maximum of the diffraction pattern becomes broader, and the intensity of the secondary maxima reduces.
2. Distance between slits. The distance between the slits in the double-slit experiment also affects the pattern on the screen. The distance between the slits is equal to the spacing between the maxima. If the spacing between the slits decreases, the distance between the maxima decreases, and vice versa.
3. Distance between slits and screen. The distance between the slits and the screen is also a factor that can affect the diffraction pattern. When the distance increases, the spacing between the maxima becomes wider, and the intensity of the maxima decreases.
4. Wavelength of the incident light. The wavelength of the incident light is another factor that affects the diffraction pattern on the screen. When the wavelength increases, the spacing between the maxima increases, and vice versa.
5. Refractive index of the medium. The refractive index of the medium in which the light travels can also influence the diffraction pattern observed on a screen.
When the refractive index of the medium changes, the position of the maxima changes as well. These are the factors that can change the pattern observed on a screen during Young's double-slit experiment.
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name the planet which is nearest to sun
Answer:
So, Mercury is the closest planet to the Sun.
Explanation:
Question
Type your response in the box,
What are some of the mental and physical health risks associated with a sedentary lifestyle?
Answer:
one for physical is that your muscles will seize up or cramp when you try to move. one for mental is that if your always sitting down you will most likely become stressed or get depression
Explanation
the reason your muscles cramp is from lack of exercise form sitting they get used to that position and want to stay that way. then theres the deprestion ive had it it aint fun nor is stress ive had that too
Magnesium hydroxide is used in?
soap
batteries
antacids
detergents
Answer:
Antacids.
Explanation:
Magnesium hydroxide is commonly used for sicknesses and etc.
atomic mass unit
a standard unit of mass used for _____ particies
Answer:
Atomic particle.
Explanation:
It is used to calculate mass at atom level .
1 amu is the mass of 1 atom of C12 carbon