The combined truck, after the collision, has a velocity of approximately 6.1 m/s at an angle of approximately 55 degrees south of west.
To find the velocity and direction of the combined trucks after the collision, we can use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is given by the product of its mass and velocity:
momentum = mass * velocity
For the first truck moving west, its momentum is given by:
momentum1 = (4.0 x 10⁴ N) * (-8.0 m/s) = -3.2 x 10⁵ kg·m/s
For the second truck moving south, its momentum is given by:
momentum2 = (3.0 x 10⁴ N) * (-5.0 m/s) = -1.5 x 10⁵ kg·m/s
Since momentum is a vector quantity, we need to consider both magnitude and direction. The negative sign indicates the direction opposite to the chosen coordinate system.
After the collision, the two trucks lock together, so their combined momentum is zero:
momentum_total = 0
We can write this equation as:
momentum1 + momentum2 = 0
Solving for the combined velocity, we have:
combined_velocity = (momentum1 + momentum2) / (mass1 + mass2)
Substituting the given masses and velocities, we get:
combined_velocity = (-3.2 x 10⁵ kg·m/s + (-1.5 x 10⁵ kg·m/s)) / ((4.0 x 10⁴ N + 3.0 x 10⁴ N)
combined_velocity ≈ -4.7 x 10⁵kg·m/s / 7.0 x 10⁵ N
≈ -6.71 m/s
The negative sign indicates the direction opposite to the chosen coordinate system.
To find the angle of the combined velocity, we can use trigonometry. The angle can be determined using the inverse tangent function:
angle = arctan((momentum2_y + momentum1_y) / (momentum2_x + momentum1_x))
Substituting the given values, we get:
angle ≈ arctan((-1.5 x 10⁵kg·m/s) / (-3.2 x 10⁵kg·m/s))
≈ 55 degrees
Therefore, the combined truck, after the collision, has a velocity of approximately 6.1 m/s at an angle of approximately 55 degrees south of west.
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heeellllpppppppppppppppp
a long, straight wire carries a current i (see figure below). which of the following statements is true regarding the magnetic field due to the wire? more than one statement may be correct.
For a long straight wire carrying conductor the magnitude of the magnetic field produced around it is proportional to I/r, and the direction is out of the page at P.
A magnetic field is produced by moving charges. Charges are constantly moving in a conductor carrying current; as a result, magnetic fields are created all around the conductor.
The right-hand thumb rule indicates the direction of this magnetic field. The thumb of the right hand is used in this rule to indicate the current's direction. The direction of the magnetic field surrounding the wire is indicated by the curled fingers.
The magnitude of the magnetic field produced by the current carrying conductor depends on the following factors:
The magnitude of the current flowing through the conductor
The distance to the point where the field value is calculating.
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(0)
The length ? and width w of the closed box are increasing at a rate of 4 ft/min while its height h is decreasing at a rate of 5 ft/min. Find the rate at which the volume of the box is increasing when ? = 4 , w = h = 2 feet.
The rate at which the volume of the box is increasing is 3 cubic feet per minute. We can use the formula for the volume of a rectangular box, which is V = lwh.
To find the rate at which the volume is increasing, we need to take the derivative of V with respect to time t: dV/dt = (dV/dl) * (dl/dt) + (dV/dw) * (dw/dt) + (dV/dh) * (dh/dt) , We know that dl/dt = dw/dt = 4 ft/min (since both the length and width are increasing at the same rate), and dh/dt = -5 ft/min (since the height is decreasing).
To find the values of dV/dl, dV/dw, and dV/dh, we can take the partial derivatives of V:
dV/dl = wh
dV/dw = lh
dV/dh = lw
Substituting these values and the given dimensions (? = 4, w = h = 2), we get:
dV/dt = (2 * 2 * 4) + (4 * 2 * 2) + (4 * 2 * (-5))
= 16 + 16 - 40
= -8
To find the rate of change of the volume (V) with respect to time, we first need to find the expression for the volume of the box, which is given by V = lwh. Now, we differentiate V with respect to time (t) to get the rate of change: dV/dt = dl/dt * wh + dw/dt * lh + dh/dt * lw
Given that dl/dt = dw/dt = 4 ft/min and dh/dt = -5 ft/min, we can plug these values into the equation above, along with the values of l, w, and h: dV/dt = 4 * 2 * 2 + 4 * 4 * 2 + (-5) * 4 * 2 = 16 + 32 - 40 = 12 ft³/min.
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What are the different isotopes
Answer:
Isotopes can both be the same element but have a different number of electrons
Explanation: not sure if more was supposed to be there, but i tried
an electron is released within a uniform electric field of a magnitude of 28,000 n/c generated by two parallel plates. the plates are separated by 4 cm. if the electron has moved across the entire gap between the plates, what is its speed? group of answer choices 0.650x107 m/s
If the electron has moved across the entire gap between the plates its speed is 1.98x10^7m/s
Given uniform electric field of a magnitude (E) = 28,000N/C
Distance the plates are separated by (s) = 4 cm = 4x10-2m
We know that the charge on an electron (q) = -1.6 * 10^-19
We know that force acting on a particle = F = qE
F = 28 * 10^3 * (- 1.6 * 10^-19) = -4.48 * 10^-15
We know that the mass of an electron (M) = 9.1 x 10^-31 kg
We know that F = Ma where a is acceleration then
a = F/M = 4.48 * 10^-15/9.1 x 10^-31 = 0.492 x 10^16 m/s^2
From newtons laws of motion we know that v^2 = 2as
then v = √2x0.492 x 10^16x4x10-2 = 1.98x10^7m/s
Hence the speed of electron is 1.98x10^7m/s
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. Which example is NOT an example of Simple Harmonic Motion.
The example that is NOT an example of Simple Harmonic Motion is:
A ball rolling down a hill.
Simple Harmonic Motion is a type of periodic motion where the restoring force is proportional to the displacement from equilibrium and is directed towards the equilibrium point. The classic example of simple harmonic motion is the motion of a mass attached to a spring that is oscillating back and forth. Other examples of simple harmonic motion include a pendulum swinging back and forth and the vibration of a guitar string.
A ball rolling down a hill does not exhibit simple harmonic motion because it does not have a restoring force that is proportional to the displacement from equilibrium. The motion of the ball is affected by the force of gravity, which is not directed towards the equilibrium point, and the frictional force between the ball and the surface of the hill, which is not proportional to the displacement from equilibrium. Therefore, it is not an example of simple harmonic motion.
the picture below shows a centrifuge used to test astronauts
Which vectors shows the direction of the centripetal acceleration at this point?
A. A
B. B
C. C
D. D
[PLEASE SOMEONE HELP! ASAP]
Answer: B
Explanation: just did the quiz
Vector B shows the direction of the centripetal acceleration at this point.
What is centripetal acceleration?Centripetal acceleration is the acceleration of a frame traversing a circular path. because the pace is a vector quantity (this is, it has both a magnitude, the rate, and a course), when a frame travels on a circular course, its route continuously adjustments, and accordingly its velocity changes.
What reasons for centripetal acceleration?Centripetal forces motivate centripetal accelerations. within the special case of the Earth's circular motion around the sun – or any satellite's ground movement around any celestial body – the centripetal force causing the movement is the end result of the gravitational enchantment among them.
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this imposes another condition on the charge densities on the surfaces of the plates. how can this condition be expressed?
The requirement of the charge densities on the surfaces of the plates is that the charge on the plates must be of the same amount but in the opposite direction in order to complete this field. This condition requires that the charge on the plates be of the same amount but in the opposite direction.
What is an electric field?
It is a physical field that a charged particle occupies on another particle in its environment. In order to form this field, the charge on the plates must be the same amount but going in the opposite direction.
The parallel plate capacitor is the term given to the device that holds a charge. The charge concentrations on the plate surfaces will be under the following conditions:
The charges on the plates must be identical in size and directed in the opposite direction.
This enables the addition of fields to the inside of the plates and the removal of fields from the outside.
Therefore, in order to form this field, the charge on the plates must be the same amount but applied in the opposite direction.
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label each statement 1 2 or 3 for the law of motion it illudtrates
Answer:
2
1
2
1
3
1
Explanation:
I'm pretty sure these are right. you might want to go back and check the first and third, but the other 4 are right
The greater mass will have greater acceleration is a fact from second law of motion. Thus, first situation is an example of second law. Spilling of water from the glass indicates the first law , that is law of inertia.
What are laws of motion ?Newton' s first law of motion states that, every body tends to continue on the state of motion or rest until an external force acts upon it. This law is called law of inertia.
Second law states that the force applied on a body is directly proportional to the mass and acceleration.
Newton's third law states that, for every action there is an equal and opposite reaction. The first statement indicates the second law of motion and water spilling indicates the law of inertia.
As the mass increases, more force to be applied and acceleration decreases with mass. Thus third situation indicates second law. The magician pulling the cloth from stationary, hence it is first law.
A rocket launches by a force applied on the space and an opposing force from the fuel make it move indicating the third law. The last situation indicates the first law. Hence, the labeling is as 2,1,2,1,3,1.
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What type of number is 3π + 1?
Choose all answers that apply:
A. whole number
B. integer
C. rational
D. Irrational
Answer: It's D
Explanation:
How do I find out where two cars intersect when I am given velocity for the red car 14.41cm/s and the starting point for the red car 0.6m. I am also given velocity for the blue car 41.32cm/s and the starting point at 0m.
Explanation:
Write equations for the position of each car as a function of time. (Make sure to convert units if they're different.)
The red car's position x at time t is:
x = (14.41 cm/s) t + 60 cm
The blue car's position x at time t is:
x = (41.32 cm/s) t
To find when they meet, set the equations equal to each other.
(14.41 cm/s) t + 60 cm = (41.32 cm/s) t
60 cm = (26.91 cm/s) t
t = 2.230 s
A 2. 9 kg model rocket accelerates at 15. 3 m/s2 with a force of 44 N. Before launch, the model rocket was not moving. After the solid rocket engine ignited, hot gases were pushed out from the rocket engine nozzle and propelled the rocket toward the sky. Which of Newton’s laws apply in this example? Select three options. The first law the second law the third law the fourth law the fifth law.
Answer:
The first law: the law of Inertia.
Explanation:
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Answer:
1st, 2nd, & 3rd law
Explanation:
there is no 5th/4th law ppl
I did this question and it says SELECT 3 OPTIONS not 1 (This answer isn’t meant to be rude but just stating what the question says.)
__________ is the
process by which populations change over
time.
Evolution, is a process that results in changes in the genetic material of a population over time.
As pitch gets higher, wavelength gets ___________.
Answer:
Shorter
Explanation:
Waves become shorter and closer together as pitch increases
What do you mean by Tribology? Explain its significance in our daily life 2. Explain the role played by friction and wear in a tribological system 3. How do you define Wear? How it affects the properties of a surface?
SCIENCE MADLIB
Using the graph provided, interpret the data and create your own story of what could have been happening. Make sure to tell whether you are accelerating, stopped, or decelerating at each point. For example, we were accelerating from our starting point A to the next point B.
please hurry
The story that describes the graph is, we were accelerating from our starting point A to the next point B, then from point B started decelerating to our next point C, rested between point C and D, and finally we started our journey again by accelerating to point E.
What is displacement time graph?
A displacement time graph, is a type of graph that is used to describe the motion of an object with respect of how the object is changing its position with time.
The change in position with change in the time of motion of the object gives velocity of the object which is also equal to the slope of the graph.
v = Δx / Δt
where;
Δx is the change in position of the objectΔt is the change in time of motionFrom the given graph we can conclude the following based on the motion;
from point A to B there is accelerationfrom point B to C there is decelerationfrom point C to D there is no acceleration because velocity is zerofrom point D to E there is accelerationLearn more about displacement - time graph here: https://brainly.com/question/19144777
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Which statement describes one feature of a closed circuit? Charges do not flow. Bulbs will not shine. The circuit is broken. The circuit is complete.
I inferred you've referring to a close electrical circuit.
Answer:
The circuit is complete.
Explanation:
A closed electrical circuit is indeed a complete circuit. Also, it allows charges to flow, the bulbs in the circuit will shine and it is not broken.
It is termed closed circuit because there is no brokage in the series of electrical wires or the switch; which may prevent the free flow of current or charges. Thus, a feature that marks closed circuits is that they are complete.
Answer:
The circuit is complete.
Explanation:
A marathon runner is running with an initial velocity of 3.95 m/s. As the runner approaches the finish line, she increases her velocity to 4.17 m/s. What is the acceleration of the runner approaching the finish line?
Given that the time between when the marathon runner changes her velocity and the finish line is t, the acceleration of the runner approaching the finish line is 0.22/t m/s² .
What is acceleration?The acceleration of a body is the change in the velocity of a body with time.
Acceleration is a vector quantity as it takes into account the change in velocity as well as the change in the direction of the body.
Hence, a body is accelerating if either or both of these two conditions apply:
a change in the velocity occursa change in the direction of the bodyMathematically;
acceleration = change in velocity / time takenThe change in velocity of a body = Final velocity - initial velocity
Change in velocity of the runner = 4.17 - 3.95
Change in velocity of the runner = 0.22 m/s
Time taken for this change = t
Hence;
acceleration = 0.22/t m/s²
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i need help for physics this is due todayyyyy
Answer
you need to give the speed (velocity)
Explanation:
with the speed given you input that into d= v*t
you know one hour or 60 minutes or 3600 seconds which are all equivalent and you can use any as the units need to be the same to do any equation and multiply that by the speed that you have already
BI
Kinetic Energy of a Ball
at a Constant Mass
500
400
Kinetic Energy (m)
300
200
100
0
0 5 10 15 20 25
Speed (meters per second)
10 meters per second, which statement describes the change in kinetic energy of a ball of the same mass thrown
Compared to a ball thrown
at 20 meters per second?
halt (%) the kinetic energy of the ball thrown at 10 meters per
The kinetic energy of the ball thrown at 20 meters per second
second
The kinetic energy of the ball thrown at 20 meters per second is two times (2) the kinetic energy of the ball thrown at 10 meters per
second
The kinetic energy of the ball thrown at 20 meters per second is the same as () the kinetic energy of the ball thrown at 10 meters per
second
The kinetic energy of the ball thrown at 20 meters per second is four times (4) the kinetic energy of the ball thrown at 10 meters per
Second
10:18 AM
3/4/2021
4
13 14 15 16 17 18 19
20 21 22
Next
Answer: A
Explanation:
Does the speedometer of a car measure average speed or instantaneous speed? Explain.
The speedometer of a car measures instantaneous speed. It tells you the speed of the car at any given moment in time.
The speedometer of a car measures instantaneous speed. This means it gives the reading of the speed at any given moment in time.
Main part: The speedometer of a car measures instantaneous speed. It tells you how fast you are driving at that particular moment. The speedometer gives you a direct reading of how fast your vehicle is traveling. It measures the vehicle's speed at any given moment in time, rather than calculating the average speed of the entire journey.
A speedometer is attached to a vehicle's wheels to measure its speed. As the wheels turn, the speedometer calculates the speed at which they are turning. Inside the speedometer, there is a component called a speedometer cable. This component is connected to the back of the speedometer's drive mechanism. The other end of the cable is connected to a gear that is inside the transmission or the transfer case. When the vehicle is moving, the driveshaft turns the gears in the transmission or transfer case. The gear connected to the speedometer cable also turns, causing the cable to rotate. The rotation of the cable creates a magnetic field that drives the speedometer's magnetometer, which is connected to the speedometer pointer. This causes the pointer to move along the dial and show the speed of the vehicle on the speedometer.
Conclusion: In conclusion, the speedometer of a car measures instantaneous speed. It tells you the speed of the car at any given moment in time.
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a persons eardrum has an area of 0.000200 m^2. How much force does the outside air at 1.00 atm exert on the eardrum
Answer:
20.3N
Explanation:
Given parameters:
Area of the eardrum = 0.0002m²
Pressure on the eardrum = 1atm = 101325Nm⁻²
Unknown:
Force exerted on the eardrum = ?
Solution:
Pressure is the force per unit area impacted on a body.
Pressure = \(\frac{Force }{area}\)
Force = Pressure x area
Now insert the parameters and solve;
Force = 101325Nm⁻² x 0.0002m² = 20.3N
What went wrong in this conversion of 50km/hr to miles/min? *
2 points
50km Imile 60 min
hr 1.609 km Ihr
X х
Answer:aka
Explanation:
mekje
If an object is moving up, is it considered to have a positive or negative velocity?
Answer:
A positive velocity
Explanation:
Help ASAP!! Three factors that affect the solubility of a substance are pressure, the type of solvent, and __________
Answer:
Volume
Explanation:
Ricardo read that it may be unhealthy to eat more than 2,500 mg of table salt (NaCl) in a day. He wants to see how much salt 2,500 mg is, but his scale only weighs in units of grams.
How many grams of salt should he measure out on the scale?
A.
25 g
B.
2.5 g
C.
0.025 g
D.
250 g
The mass (in grams) Ricardo should measure out on the scale, given that he has 2500 mg is 2.5 g (Option B)
How do i determine the mass Ricardo should measure out?To obtain the mass that Ricardo should measure out on the scale, we shall convert 2500 milligrams (mg) to grams (g). This is illustrated below:
Mass (in mg) = 2500 mgMass (in g) =?Conversion scale
1000 mg = 1 g
Therefore
2500 mg = (2500 mg × 1 g) / 1000 mg
2500 mg = 2.5 g
From the above, we can see that 2500 mg is equivalent to 2.5 g
Thus, we can conclude from the above illustration that the mass Ricardo should measure out on the scale is 2.5 g (Option B)
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Write the following in expanded form. 4.35 x 10^6
The given expression can be written in an expanded form as 4,350,000
Given expression:
\(4.35 \times 10^6\)
To find:
the expanded form of the expressionTo expand the given expression, multiply 4.35 by 1,000,000
\(= 4.35 \times 1,000,000\)
move the decimal point six (6) places to the right and you will obtain the following result.
\(= 4,350,000\)
Therefore, the expanded form of the expression is 4,350,000
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At what temperature will the Kelvin scale reading be double the Fahrenheit scale reading?
a) 250K
b) 353.4K
c)500K
d)30.5k
please show with steps :'(
Answer:
The temperature at which the Kelvin scale reading is double the Fahrenheit reading is 176.69 F = 353.38 K
Explanation:
K = 2F
→ 2F = 273 + (5/9)(F - 32)
→ 18F = 2457 + 5F - 160
→ 18F - 5F = 2457 - 160
→ 13F = 2297
→ F = 2297/13
→ F = 176.69° F
K = 2F
→K = 2 * 176.69
→ K = 353.38K
What is the speed of an object at rest?
0 m/s
O 1 m/s
O 10 m/s
Answer:
1 m/s so number 2 is the right one
Explanation:
so when it is at rest it still has some of the left over energy so it would be at 1 m/s
A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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