Answer:
C
Explanation:
Average velocity = (10+30) / 2 = 20 m/s
80 m / 20 m/s = 4 seconds
It would take a truck to increase its speed from 10 m/s to 30 m/s in 2.0 s. Option D is the correct answer.
To determine how long it would take for the truck to increase its speed from 10 m/s to 30 m/s, we can use the equations of motion. Option D is the correct answer.
The first equation we will use is: v = u + at
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Given:
Initial velocity, u = 10 m/s
Final velocity, v = 30 m/s
We need to find the time, t. Since the truck is accelerating uniformly, we can assume a constant acceleration. Next, we use another equation of motion: v² = u² + 2as, where s is the distance traveled.
Given:
Distance, s = 80 m
Initial velocity, u = 10 m/s
Final velocity, v = 30 m/s
Rearranging the equation, we get: s = (v² - u²) ÷ (2a)
Substituting the given values, we have: 80 = (30² - 10²) ÷ (2a)
Simplifying the equation, we find:
80 = (900 - 100) / (2a)
80 = 800 / (2a)
2a = 800 / 80
a = 10 m/s²
Now, we can go back to the first equation: v = u + at
Substituting the known values: 30 = 10 + 10t
Simplifying, we find: 10t = 20
t = 2 seconds
Therefore, it would take the truck 2.0 seconds to increase its speed from 10 m/s to 30 m/s.
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gravity and orbits phet lab simulation
Answer:
Explanation: is a good compilation
Johnny is getting into building and launching model rockets. In designing a rocket, he has to select an engine based on how much force it produces. If his rocket has a mass of 5.00 kg and he wants it to have an acceleration of 12.9 m/s2, how much force in Newtons does the engine need to produce? (Answer should have 3 significant figures.)
The force in Newtons that the engine need to produce is 64.5 N.
What is the force produced by the engine?The force produced by the engine can be determined by applying Newton's second law of motion.
Newton's second law of motion, states that the force applied to an object is directly proportional to the product of mass and acceleration of the object.
This law also states that the rate of change of momentum of an object is directly proportional to the force exerted by the object.
Mathematically, Newton's second law of motion is given as;
F = ma
where;
m is mass of the objecta is acceleration of the objectF is force exerted by the engineSubstitute the given parameters and solve for the force applied by the engine.
F = (5 kg)(12.9 m/s²)
F = 64.5 N
Thus, based on the mass and acceleration selected by Jonny, the engine can produce a force of 64.5 N.
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An atom of element X has one more shell of electrons than an atom of beryllium, but has one less valence electron than beryllium. Which element is element X?
The element x that has an atom which has one more shell of electrons than an atom of beryllium, and one less valence electron than beryllium is Sodium ( Na )
The number of shell of electrons in
Beryllium = 2 ( 2 , 2 )Sodium = 3 ( 2 , 8 , 1 )The number of valence electrons in
Beryllium = 2 ( 2 , 2 )Sodium = 1 ( 2 , 8 , 1 )The shell that is closer to the nucleus is called as K shell. The next one is called L shell, followed by M shell and N shell. The K shell can hold 2 electrons, L shell can hold 8 electrons, M shell can hold 18 electrons and N shell can hold 32 electrons.
Therefore, the element X is Sodium ( Na )
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the ebb and flow of the tides has been occurring every day for millions of years. but nothing lasts forever. so, the motion of the tides will die out within a few years.
the motion of the tides will die out within a few years due to weak and uncogent, true premise, probably false conclusion.
The two gravitational and inertial tidal bulges will spin around the Earth as the moon's location changes. These peaks are high tides, and the flat sides are low tides. A lunar day is the amount of time needed for one point on Earth to complete one full rotation and arrive at the same location with respect to the moon. The moon circles around the Earth in the same direction that the Earth is rotating, which accounts for why a lunar day is longer than a typical 24-hour day. The Earth needs an additional 50 minutes to "catch up" with the moon.
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suppose you are standing in an elevator that is accelerating. what does the acceleration have to be so that your weight feels tripled? assume the positive direction is upwards.
In order the weight feels tripled, the elevator should be moving upward with acceleration 2g m/s² or two times of gravitational acceleration.
The free body diagram is shown on the attached picture.
The scale will read the normal force.
Suppose the elevator is moving upward. Using the Newton's second law of motion:
∑F = m.a
N - w = ma
N = mg + ma
Suppose the elevator is moving downward.
w - N = ma
N = w - ma
N = mg - ma
Where:
m = mass
a = acceleration
g = gravitational acceleration
From the above 2 cases, in order the scale to read the measured weight higher than its actual weight, N should be greater than w, or N = mg + ma, or the elevator should be moving upward.
The weight feels tripled means N = 3 mg.
Hence,
3 mg = mg + ma
a = 3g - g = 2g
Therefore, in order the weight feels tripled, the elevator should be moving upward with acceleration 2g m/s²
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Did the fruit orange come first or did the color come first?
Answer:
The fruit came first
Explanation:
Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after they’ve been touching for a while, and why.
Answer:
look at the explanation
Explanation:
If this is the case, the pancake at the highest temperature will make the backside pancake the warmest due to transfer of thermal energy.
The switch of thermal strength between the hotter pancake and the backside pancake occurs through conduction. Conduction is a mode of transfer of thermal energy that takes place when the two bodies are in shut contact with each other.
After they have been touching for a while, the temperature of the backside pancake increases while the temperature of the top pancake decreases in view that thermal power is being transferred from the pinnacle pancake to the backside pancake.
An astronaut weighs 655 N on Earth. If the same astronaut weighs 465 N on an alien planet, what is the magnitude of the acceleration due to gravity on the alien world (in m/s2)?
Round to the nearest hundredth.
Hint: Your answer should be a positive number.
The acceleration due to gravity on astronaut on the alien planet will be 6.38 m/s²
What is Weight?Weight is a force exerted by earth on a body in a vertically downwards direction towards its center.
Mathematically -
Weight [W] = mass [m] x acceleration due to gravity [g].
Given is an astronaut whose weight is 655 N on Earth and the same astronaut weighs 465 N on an alien planet.
We can write -
Weight on earth [W] = 655 N
Acceleration due to gravity on Earth [g] = 9.8 m/s²
Weight on alien planet [W'] = 465 N
Assume the acceleration due to gravity on alien planet be g'.
Then -
W[earth] = mg = W.
W[alien planet] = mg' = W'.
Since the mass remains same, we can say that -
m[earth] = m[alien planet]
W/g = W'/g'
g' = (W'g)/W
g' = (465 x 9.8)/655
g' = 6.38 m/s²
Therefore, the acceleration due to gravity on astronaut on the alien planet will be 6.38 m/s²
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what is the relationship between wavelength of light and the quantity of energy per photon? question 4 options: they have a direct, linear relationship. they are logarithmically related. they are only related in certain parts of the spectrum. they are inversely related.
Last option is correct that is the relationship between wavelength of light and the quantity of energy per photon is inversely related.
Energy is inversely correlated with wavelength because it is directly proportional to the electromagnetic frequency of the photon. The energy of a photon increases with its frequency. In other words, the energy of a photon decreases with increasing wavelength. Wavelength and frequency are related to energy in the same way that they are to light. Greater energy is correlated with shorter wavelengths and higher frequencies. Therefore, lower energy is produced by longer wavelengths and lower frequencies. E = hv is the energy equation. When we increase the denominator, the fraction also increases, resulting in a decrease in energy. As a result, energy and wavelength have an inverse relationship.
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what is the acceleration (in m/s2) of gravity on the surface of the moon? m/s2 (b) what is the acceleration (in m/s2) of gravity on the surface (or outer limit) of venus? the mass of venus is 4.88 ✕ 1024 kg and its radius is 6.06 ✕ 106 m.
The acceleration due to gravity on the surface of the Moon is 1.635 m/s² and on the surface of Venus is 8.8634 m/s².
What is the acceleration due to gravity?There is acceleration, gravitational force, and acceleration due to gravity, all three are completely different from each other.
Acceleration due to gravity denoted by 'g' is the combined force of centrifugal force and gravitation force.Here g= 9.8 m/s² this force is caused by the force acting on the body due to the gravitational field.We know that the acceleration of gravity on the moon = 1/6 acceleration of gravity on the Earth
Therefore, the acceleration of gravity on the surface of the moon is given as
= 9.81 / 6
= 1.635 m/s²
b) For any planet (Venus) the acceleration of gravity is given as
g = GM/ R²
G = 6.67 × 10⁻¹¹
M = 4.88 × 10²⁴
R = 6.06 × 10⁶
g = ( 6.67 × 10⁻¹¹)(4.88 × 10²⁴) / (6.06 × 10⁶)²
g = 8.634 m/s²
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Which statement about the event above is NOT correct?
Answer:
i think its A
Explanation:
The resultant force acting on the van is 1500 N.
Calculate the magnitude of force X.
[assume X is the only horizontal force opposing the motion of the van]
If the resultant force acting on the van is 1500 Newtons, then the magnitude of Force X would be 1500 Newtons as X is the only horizontal force opposing the motion of the van.
What is Newton's second law?Newton's Second Law states that the resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem statement If the resultant force acting on the van is 1500 Newtons, then we have to find the magnitude of Force X,
The magnitude of the Force X = 1500 Newtons
Thus, the magnitude of the force X would be 1500 as it is the only force acting on the van.
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a person travels by car from one city to another with different constant speeds between pairs of cities. she drives for 40.0 min at 70.0 km/h, 16.0 min at 75.0 km/h, and 50.0 min at 40.0 km/h and spends 35.0 min eating lunch and buying gas.
The Average speed is 42.44 km/h ,the distance between cities is 99.02kmSpeed is the rate at which something or someone is moving.
The average speed of an object can be determined if you know the distance traveled and the time it took. Distance times speed is how speed is computed. In order to compute the units for speed, you must be aware of the units for both distance and time. Given that the distance in this example is measured in metres (m) and the duration is recorded in seconds, the units will be metres per second (m/s) For the purpose of calculating the other two, we require the other two (time, speed, or distance). To determine how long it will take to complete a journey, for example, information about the distance and speed of travel is needed.
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A skydiver falls toward the ground at a constant velocity. Which statement best applies Newton’s laws of motion to explain the skydiver’s motion?
An upward force balances the downward force of gravity on the skydiver.
The skydiver’s inertia is zero, which no longer allows for acceleration.
An unbalanced force pulls the skydiver toward the ground.
The mass of the skydiver is so great that there is no acceleration.
Answer:
Newton's First Law
Explanation:
As you had already mentioned the explanation about the querry you have,
I accept the reasons you have mentioned.
Definitely an upward force will balances the downward force on the skydiver, And the unbalanced force pulls the skydiver towards ground was the Gravitational force. As there is no any other acceleration, the velocity of the skydiver towards the ground is 9.8.
The skydiver's motion can vary in different views like,
1. A person in the plane view is a parabolic path.
2. A person from the ground view is straight line path.
So, the skydiver's motion varies according to the observer view.
date: 09-10-2022
Answer: A
Explanation: yes
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What should be corrected in the model of nitrogen (N) shown below?
1. Choose the time interval with constant positive acceleration. (no calculations
needed)
A. 1 to 4 seconds
B. 7 to 9 seconds
C. 1 to 10 seconds
D. 4 to 5 seconds
Time with program duration at a constant amount of acceleration: 1 to 4 seconds. In mechanics, acceleration is the price you pay for exchanging the speed of an object for time.
Acceleration is a vector quantity. The direction of acceleration of an object is given by the direction of the net force acting on it. Acceleration is the name we give to any method of adjusting speed. If you think of velocity as velocity and path, then there is the simplest way to acceleration: change alternate velocity or alternate path - or both.
Acceleration (a) is the exchange of the ratio (Δv) for the change in time (Δt) expressed by the equation a = Δv/Δt. There are three styles of ascent motion: uniform acceleration, non-uniform acceleration, and medium acceleration. . Uniform acceleration, non-uniform acceleration, and medium acceleration are three types of improved motion. Uniform time acceleration refers to the motion in which an object moves in a straight line, jumping with the speed at equal time intervals.
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a dragster gets to a peed of 112m/s over a distance of 300m from rest. Determine the acceleration of the dragster.
A dragster gets to a speed of 112 m/s over a distance of 300 m from the rest, then the acceleration will be 20.9 m/s².
What is Acceleration?The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.
According to the question, the given values are :
Final velocity, v = 112 m/s.
Initial velocity, u = 0 m/s
Distance, s = 300 m.
Use the equation of motion,
v² - u² = 2as
112 ² - 0 = 2 (a)(300)
a = 12544/600
a = 20.9 m/s².
Hence, the acceleration of the dragster will be 20.9 m/s².
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(a) a stuntman with a mass of 88.5 kg swings across a pond from a rope that is 11.5 m. at the bottom of the swing the stuntman's speed is 8.30 m/s. the rope's breaking strength is 1,000 n. will the stuntman make it across the pond without falling in? yes no (b) what if? what is the maximum speed (in m/s) that the stuntman can have at the bottom of the swing on this vine to safely swing across the river? m/s
a) Since the rope's breaking strength is 1,000 N Therefore therefore the stuntman cant make it without falling
b) The maximum speed (in m/s) that the stuntman can have at the bottom of the swing on this vine to safely swing across the river is 4.24m/s
To determine if the stuntman will make it across the pond without falling, we will solve for tension. Using the equation for Tension which is mathematically given as
T = mv²/r + (mg)
Where:
Mass of swing; m = 88.5
Speed or velocity of the stuntman; v = 8.30m/s
Length of rope; r = 11.5m
Gravity; g = 9.8
T =(88.5*8.30)²/11.5 + (88.5*9.8)
T = 6096.76 + 867.3
T = 5229.46N
Since the rope's breaking strength is 1,000 N Therefore he cant make it without falling
b. In finding the maximum speed that the stuntman can have at the bottom of the swing, We substitute into the equation for tension given as:
T = mv²/r + (mg)
1000 =(88.5*v²)/11.5 + (88.5*9.8)
v² = 4.24m/s
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(01. 05 MC)
Lessons Assessments Gradebook Email 36 Tools ▾
A witness states that a suspect contacted them on a specific phone app. Unfortunately, the app is no longer showing on the suspect's phone. How
would a forensic expert confirm the witness's testimony?
OUse Disk Drill to recover files
O Examine deleted browser history
The testimony cannot be confirmed
My Courses
OUse Cellebrite to pull deleted applications
Answer:
use disk drill to recover files
Explanation:
water reaches to the magma that changes into steam .the steam contains which type of energy
Answer:
Geothermal energy
Explanation:
A rocket launcher makes an angle of 53.1 degrees from the ground. It launches a rocket with an initial speed of 20.8 m/s.
How high is it from the ground, in meters, after 1.43 seconds???
Height of the rocket launcher from the ground will be 33.7 m.
Initial speed of the rocket launcher = 20.8 m/s
Rocket launcher makes an angle of 53.1° from the ground.
Since the motion of the rocket is a projectile motion, as the rocket is projected from an angle of 53.1° from the ground, height of the rocket can be calculated using the formula [tex]h = \frac{v^{2}Sin^{2}\alpha }{2g}[/tex],
'h' is the height of the rocket
'v' is the final velocity of the rocket
'[tex]\alpha[/tex]' is the angle made by the rocket from the ground
' v' can be calculated by using the equations of the motion as v - u = gt
v = u + gt
v = 20.8 + (9.81) * (1.43)
v = 34.8 m/s
So,
[tex]h = \frac{v^{2}Sin^{2}\alpha }{2g}[/tex]
[tex]h = \frac{34.8^{2} Sin^{2}53 }{2*9.81}[/tex]
h = 33.7 m
The rocket will be 33.7m high from the ground after 1.43 seconds.
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A graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 2 meters to 4 seconds 8 meters.
Which statements describe the motion of the object represented by the graph? Select three options.
The object is moving away from the origin.
The object is moving towards the origin.
The object started at the origin.
The object started at 2 meters.
The object is traveling at a constant velocity.
The true statements are;
The object is moving away from the origin.The object started at 2 meters.The object is traveling at a constant velocity.What is the position time graph?The position time graph is the graph that shows the movement of a body over a given time interval. Let us note that a graph is always plotted on the cartesian coordinates. One of the coordinates is vertical and the other coordinate is horizontal. This is the nature of the plot in the question
Having said this, we know from the question that; a graph titled Position versus time for with horizontal axis time (seconds) and vertical axis position (meters). A straight blue line runs with an upward slope from 0 seconds 2 meters to 4 seconds 8 meters.
Thus, we can say that, the statement that is true about the graph can be seen in the first section of the answer.
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Answer:
1- The object is moving away from the origin.
2- The object started at 2 meters.
3- The object is traveling at a constant velocity.
What force do you need to accelerate a car at 5m/s2 that has a mass of 3,000kg?
The force needed to accelerate a car at 5 m / s² that has a mass of 3,000 kg is 15 KN
F = m a
F = Force
m = Mass
a = Acceleration
m = 3000 kg
a = 5 m / s²
F = 3000 * 5
F = 15000 N
F = 15 KN
According to Newton's second law of motion, the force is equal to the rate of change of momentum of the object.
Therefore, the acceleration of the car is 15 KN
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a 617 g mass is connected to a light springof force constant 4 n/m and it is free to oscillate on a horizontal, frictionless track. themass is displaced 9 cm from the equilibriumpoint and released form rest.4 n/m617 g9 cmx
k=4 n/m, A=0.09 m, and m=0.617 kg.
1) T = m/n square root of 2 pi T = 2.466 sec
2) where w = 3.4606 rad/s and w = square root of k/m
Vmax = A*w = 0.311 m/s 3) a max = A*w*w
a max =7.389 m/s square
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You place a box weighing 360.6 N on a inclined plane that makes a 39.5 angle with the horizontal
Compute the component of the gravitational force acting down the inclined plane. Answer in units of N
Answer:
467N (3sf)
Explanation:
360.6/cos(39.5) = 467.3257019
Divya has 70 rocks. she donates half of the rocks to a science center. then she collects 3 rocks on each of her nature hikes. write an expression to represent the number of rocks divya has after she collects rocks on n nature hikes.
The expression to represent the number of rocks Divya has after she collects rocks on n nature hikes is 35 + 3n.
What is Science?Science is a methodical endeavor that creates and arranges knowledge in the form of universe-related explanations and predictions that can be put to the test.
Some of the earliest archeological evidence for scientific reasoning is tens of thousands of years old, and science may be as old as the human species. Ancient Egypt and Mesopotamia produced the oldest written documents in the history of science between 3000 and 1200 BCE.
Initially Divya has 70 rocks, after that she donated half of the rocks to science center means she has now 35 rocks left.
According to the question, she collects 3 rocks on each of her nature hikes, so the expression will be :
35 + 3n where,
n= number of hikes.
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an 8.19 kg mass moving east at 16.6 m/s on a frictionless horizontal surface collides with a 10.4 kg mass that is initially at rest. after the collision, the 8.19 kg mass moves south at 2.24 m/s. what is the magnitude of the velocity of the 10.4 kg mass after the collision?
The magnitude of the velocity of 10.4kg mass after the collision is 12.8m/s
Using the law of conservation of momentum
Sum of momentum before collision = sum of momentum after collision
m1u1 +m2u2 = m1v1+m2v2
m1 = 8.19kg
u1 = 16.6m/s
m2 = 10.4kg
u2 = 0m/s(at rest)
v1 = 2.24m/s
v2 = ?
Substitute
8.19(16.6)+10.4(0) = 8.19(2.24)+10.4v2
146.4=18.3+10v2
146.4-18.4 = 10v2
128 = 10v2
v2 = 128/10
v2 = 12.8m/s
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a loop antenna, such as is used on a television to pick up uhf broadcasts, is 25 cm in diameter. the plane of the loop is perpendicular to the oscillating magnetic field of a 150 mhz electromagnetic wave. the magnetic field through the loop is bbb
The induced EMF in the Loop of the Antenna due to oscillating magnetic field is -0.207 Volts.
We know,
The EMF induced = -(The rate of change of magnetic flux with time)
E = -d(MA)/dt
Here,
E is the induced emf,
M is the magnetic field,
A is the area of the loop.
As we can see, area is constant,
E = -AdM/dt
The value of M is 24sin(ωt).
So, putting the value of M,
E = -Ad(24sin(ωt))/dt
E = -A(24ωcos(ωt))
We know,
ω = 2πf
where
f is the frequency,
Now, we can write,
For maximum emf, cos(ωt) = 1,
So, E = -(A.24.2πf)
So, finally,
E = -πr².24.2πf
where, r is the radius of the loop,
The value of frequency f is 170MHz and,
the value of r is 25cm, 0.25 in meters,
Putting all the values,
E = 3.14 x 0.25 x 0.25 x 24 x 2 x 3.14 x 170 x 10⁶
E = -209.51 x 10⁶ nV.
1 nV = 10⁻⁹V
so,
E = -209.51 x 10⁶ x 10⁻⁹ V
E = -0.209 V
So, the induced EMF is -0.207 V.
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Complete Question - A loop antenna, such as is used on older televisions to pick up UHF broadcasts, is 25 cm in diameter. The plane of the loop is perpendicular to the oscillating magnetic field of a 170 MHz electromagnetic wave. The magnetic field in (nT) through the loop is 24sin(ωt), where ω is the angular frequency of the wave. What is the maximum emf induced in the antenna?
When a catapult is shot at angle of 35° and travels a horizontal distance 0.75 m and is in the air for 0.45 seconds. If the initial velocity is the same as the first trial (at 35"), how far would the catapult shoot the object if it was shot at an angle of 45°?
Answer:
As we said, horizontal projectile motion equations are a special case of general formulas. We don't need to specify the angle of launch, as it's parallel to the ground (so the angle is equal to 0°). As a result, we have only one component of initial velocity - Vx = V, whereas Vy = 0.
horizontal projectile motion
We will take the starting point to be at the origin. Then, the equations of motion can be written as:
Distance
Horizontal distance can be expressed as x = V
Explanation:
This horizontal projectile motion calculator is a tool to solve a special case of projectile motion - the one where an object is launched horizontally from an elevated plane. Type in any two values, and the rest will be calculated in a blink of an eye! Furthermore, the trajectory will be displayed below the results. Keep scrolling to find out the horizontal projectile motion equations and a simple example of calculations - you shouldn't have problems with your exercises after reading our explanation!
A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg·m/s backward. What is the momentum of the rocket?
The momentum of the rocket is 1,500 kg m/s forward.
Momentum is the amount of motion of a moving body measured as the product of its mass and velocity.
According to the law of conservation of momentum, which states that the total momentum of the system must be constant.
It means that the change in momentum of the system must be equal to zero. Here the system is the rocket and the gases. So, applying the law of conservation of momentum to this system,Momentum of Gas + Momentum of Rocket = 0
Taking, forward direction as positive and the backward direction as negative
Momentum of Rocket - Momentum of the gas = 0
Momentum of Rocket - 1500 = 0
Momentum of Rocket = 1500 kg-m/s
Therefore the momentum of rocket is 1500 kg-m/s in forward direction.
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