Answers
1. Let
• v₀ = initial velocity of the car
• a = 2.3 m/s², its acceleration
• x = 22.7 m, the distance covered by the car in 1.3 s
Since acceleration is constant, the distance covered after this time is
x = v₀t + 1/2 at ²
Solve for v₀ :
x = v₀t + 1/2 at ²
v₀t = x - 1/2 at ²
v₀ = x/t - 1/2 at
Plug in everything you know:
v₀ = (22.7 m)/(1.3 s) - 1/2 (2.3 m/s²) (1.3 s) ≈ 16 m/s
2. Recall that under constant acceleration,
v ² - v₀² = 2ax
where v is the velocity after some unknown time. This time,
• v₀ = 0 because the is stopped at the light
• a = 3.7 m/s²
• x = 47.0 m
Solve for v :
v ² - v₀² = 2ax
v ² = v₀² + 2ax
v = √(v₀² + 2ax)
Plug in everything you know:
v = √(0² + 2 (3.7 m/s²) (47.0 m)) ≈ 19 m/s
3. Use the same equation as in the previous problem, but this time you solve for a.
v ² - v₀² = 2ax
a = (v ² - v₀²)/(2x)
We're given
• v₀ = 23 m/s
• v = 0, because the boy wants to stop his bike
• x = 80 m
Then
a = (0² - (23 m/s)²)/(2 (80 m)) ≈ -3.3 m/s²
That is, the brakes have to apply a force that decelerates the bike with magnitude 3.3 m/s².
4. Same formula for acceleration as before,
a = (v ² - v₀²)/(2x)
with
• v = 17.3 m/s
• v₀ = 0
• x = 48.4 m
We end up with
a = ((17.3 m/s)² - 0²)/(2 (48.4 m)) ≈ 3.09 m/s²
5. By definition of average acceleration,
a (ave) = ∆v/∆t
That is, average acceleration is the ratio of change in velocity to change in time. Here we have
• ∆v = 0 - 38.0 m/s = -38.0 m/s, the difference between the final and initial velocities
• ∆t = 3.9 s, the time it takes to stop
Then
a (ave) = (-38.0 m/s)/(3.9 s) ≈ -9.7 m/s²
Related Questions
An appeal of a state appellate court ruling can next be made to:
• A. a state trial court.
• B. the state supreme court.
• C. the U.S. Supreme Court.
• D. a U.S. Court of Appeals.
Answers
The decision of the country's highest court may then be appealing to that Supreme Court of both the U. S., but only in cases where the issue involves federal law.
Why is Supreme renowned?In particular, followers of hip-hop, surfing, and post - punk culture will find their clothing appealing. Every person who appreciates streetwear will discover the ideal item thanks to Supreme's wide range of clothing.
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A baseball and a golf ball have the same momentum. The kinetic energy of the baseball is ________ the golf ball.
Answers
Answer:
The kinetic energy of the baseball is GREATER than the golf ball.
Explanation:
Learning Goal:
To understand the role of the internal resistance of various devices and the use of the ammeter and the voltmeter.
Consider the circuit shown.(Figure 1) All wires are considered ideal; that is, they have zero resistance. We will assume for now that all other elements of the circuit are ideal, too: The value of resistance R is a constant, the internal resistances of the battery (r) and the ammeter (RA) are zero, and the internal resistance of the voltmeter (RV) is infinitely large.
Answers
The internal resistance of devices like batteries, ammeters, and voltmeters can affect the overall current and voltage in a circuit.
To accurately measure these values, it's important to take into account the internal resistance of these devices and to use them correctly in the circuit. It's important to note that the internal resistance of devices can affect the overall performance of a circuit.
For example, the internal resistance of a battery can affect the voltage available to the circuit and the internal resistance of a speaker can affect its efficiency. Therefore, it's important to take into account the internal resistance of devices when designing and analyzing circuits.
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4. Which of the following are needed for a value to be a vector? Select all that apply. direction O magnitude composition O angle
Answers
Answer:
Direction and magnitude
The wavelength of a water wave is 54 m. It has a frequency of 0.03 Hz. What is the velocity of the wave?
Answers
Answer:
1.62 m/s
Explanation:
Wavelength of the water wave= 54 m
The frequency is 0.03 Hz
Therefore the velocity can be calculated as follows
Velocity= frequency × wavelength
= 0.03 × 54
= 1.62 m/s
A hot air balloon is ascending straight up at a constant speed of 6.60 m/s. When the balloon is 11.0 m above the ground, a gun fires a pellet straight up from ground level with an initial speed of 30.0 m/s. Along the paths of the balloon and the pellet, there are two places where each of them has the same altitude at the same time. How far above ground level are these places
Answers
Answer:
\(H_1 =39.05 \ m\) OR \(H_2 =14.5 \ m)\)
Explanation:
From the question we are told that
The constant speed of the balloon is \(v = 6.60 \ m/s\)
The height of the balloon is \(h = 11.0 \ m\)
The initial speed of the pellet is \(u = 30 \ m/s\)
Generally the height of the balloon at the point it is the same altitude with the pellet is mathematically represented as
\(H = h + v * (t)\)
Note: vt is the distance covered by the balloon before the pellet got to it
Generally the height of the pellet when it is the same height with the balloon is mathematically represented using kinematics equation
\(s = ut + \frac{1}{2} gt^2\)
So
H = s
=> \( ut + \frac{1}{2} gt^2 = h + v * (t)\)
=> \( 30t + \frac{1}{2} *( -9.8)t^2 = 11 + 6.60t\)
=> \( 4.9t^2 -23.4t + 11= 0\)
using the quadratic formula to solve the above equation
From the quadratic formula calculation
\(t_1 = 4.25 \ s\)
OR
\(t_1 = 0.529 \ s\)
So the height of this two place above the ground is mathematically evaluated as
\(H_1 = h + v * (4.25)\)
\(H_1 = 11 + 6.60 * (4.25)\)
\(H_1 =39.05 \ m\)
OR
\(H_2 = h + v * ( 0.529)\)
\(H_2 = 11 + 6.60 * (0.529)\)
\(H_2 =14.5 \ m)\)
Three-Dimensional Thinking
2. Aiden collected canned goods for a neighborhood service project. He
pulled a plastic wagon behind him to put the items in. From the time
Aiden began until he finished collecting, the mass of the wagon tripled.
The walk back to Aiden's house was downhill and the speed of the
wagon tripled. What happened to the kinetic energy when the mass
tripled? What happened to the kinetic energy when the speed tripled?
A
When the speed tripled, the kinetic energy increased by a factor of 3.
B
When the mass tripled, the kinetic energy increased by a factor of 3.
When the mass tripled, the kinetic energy increased by a factor of 3.
When the speed tripled, the kinetic energy increased by a factor of 9.
When the mass tripled, the kinetic energy increased by a factor of 9
When the speed tripled, the kinetic energy increased by a factor of 3.
When the mass tripled, the kinetic energy increased by a factor of 9.
When the speed tripled, the kinetic energy increased by a factor of 9.
с
D
Answers
Answer:
A.
Explanation: both triple by 3
Answer: B
Explanation: It is because the formula for this eq is KE=V^2. In the eq, it says that the mass is triple meaning the KE also must have tripled. For the speed, since it has a formula then you just have 3^2 which is 9.
He’s riding his skateboard down a ramp. Assume that his acceleration is 0.8 m/s2. How much force does it take for him to accelerate at this rate? Zeke has a mass of 50 kg.
A. 40 N
B. 62.5 N
C. 40 kg
D. 50 N
Answers
Answer:
A. 40 N
Explanation:
To find force with acceleration and mass we use the equation f=ma
f stands for force
m stands for mass
a stands for acceleration
Now we substitute
f=50*0.8
f= 40
Remember that force is measured in newtons. So A. 40 N is the correct answer.
Use the formula a = v / t to determine acceleration, where v stands for the change in velocity and t for the time it took for the change to take place. Use SI units for force (newtons), mass (kg), and acceleration when utilizing this formula (meters per second squared). Thus, option A is correct.
What force does it take for to accelerate?The acceleration of an object is equal to the net force exerted on it divided by its mass, or a = F m, in accordance with Newton's second rule of motion. When the mass of an item and the net force acting on it are known, the acceleration of that object can be determined using this equation for acceleration.
Therefore, An object's force is equal to its mass times its acceleration, or F = m a. To apply this formula, you must use SI units for force (newtons), mass (kilograms), and acceleration (meters per second squared).
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Consider a building in New York (40°N latitude) that has 76 m² of window area on its south
wall. The windows are double-pane heat-absorbing type, and are equipped with light-colored vene-
tian blinds with a shading coefficient of SC=0.30. Determine the total solar heat gain of the building
through the south windows at solar noon in April. What would your answer be if there were no blinds
at the windows?
Answers
The total solar heat gain through the south windows of the building at solar noon in April is approximately 10397 W if the windows have a shading coefficient of 0.30, and it would be approximately 34680 W if there were no blinds at the windows.
Solar radiation intensity: The solar radiation intensity on the surface of the windows can be calculated using the formula:
I = Io * cos(θ) * cos(φ)
where I is the solar radiation intensity on the surface of the windows, Io is the extraterrestrial solar radiation intensity (1367 W/m²), θ is the solar altitude angle (54°), and φ is the azimuth angle (180°). Substituting these values, we get:
I = 1367 * cos(54°) * cos(180°)
I ≈ 455 W/m²
Window area: The window area on the south wall is given as 76 m².
Window type and shading coefficient: The windows have a shading coefficient of 0.30. This means that only 30% of the solar radiation that falls on the windows is transmitted through them, while the remaining 70% is absorbed or reflected.
Total solar heat gain: The total solar heat gain through the south windows of the building at solar noon in April can be calculated as:
Q = I * A * SC
where Q is the total solar heat gain, I is the solar radiation intensity, A is the window area, and SC is the shading coefficient. Substituting the values, we get:
Q = 455 * 76 * 0.30
Q ≈ 10397 W
Therefore, the total solar heat gain through the south windows of the building at solar noon in April is approximately 10397 W if the windows have a shading coefficient of 0.30.
If there were no blinds at the windows, the shading coefficient would be 1.0, meaning that all of the solar radiation that falls on the windows would be transmitted through them. In this case, the total solar heat gain through the south windows would be:
Q = I * A * SC
Q = 455 * 76 * 1.0
Q ≈ 34680 W
Therefore, if there were no blinds at the windows, the total solar heat gain through the south windows of the building at solar noon in April would be approximately 34680 W.
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A particle has a charge of q = +4.7 μC and is located at the origin.
Answers
(a) When the particle is stationary, it will only experience a force due to the electric field. The force is given by:
F = qE
where q is the particle's charge as well as E is the electric field.
Substituting the given values, we have:
F = (4.9 × 10⁻⁶ C)(242 N/C) = 1.19 × 10⁻³N
The net force is directed in the +x direction.
What is magnetic force?Magnetic force is the force that arises between two magnetic objects or between a magnetic object and a moving charged particle. It is one of the four fundamental forces of nature, the others being the strong nuclear force, the weak nuclear force, and gravity.
The magnetic force is caused by the interaction between magnetic fields. When two magnetic objects are brought near each other, their magnetic fields interact and exert a force on each other.
(b) When the particle is moving along the +x axis at a speed of 345 m/s, it will experience both electric and magnetic forces. The electric force will be the same as in part (a). The Lorentz force equation may be utilized to calculate magnetic force:
F = q(v x B)
where v is the particle's velocity and B is the magnetic field.
Substituting the given values, we have:
F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N
The right-hand rule can be used to determine the direction of the magnetic force. If you point your thumb in the direction of the velocity vector (+x axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the +z direction.
Therefore, the net force on the particle is given by the vector sum of the electric and magnetic forces:
Fnet = (1.19 × 10⁻³ N) + (3.28 × 10⁻³ N) = 4.47 × 10⁻³ N
The net force is directed in the +z direction.
(c) When the particle is moving along the +z axis at a speed of 345 m/s, it will only experience a magnetic force. The magnetic force can be calculated using the same equation as in part (b):
F = q(v x B)
where v is the particle's velocity and B is the magnetic field.
Substituting the given values, we have:
F = (4.9 × 10⁻⁶ C)(345 m/s)(1.9 T) = 3.28 × 10⁻³ N
The right-hand rule can be used to determine the direction of the magnetic force. If you point your thumb in the direction of the velocity vector (+z axis) and your fingers in the direction of the magnetic field vector (+x and +y axes), your palm will face in the direction of the magnetic force vector, which is in the -y direction.
Therefore, the net force on the particle is given by the magnetic force:
Fnet = 3.28 × 10⁻³ N
The net force is directed in the +y direction.
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A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is , and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment
Answers
We have that for the Question, it can be said that
the balloon rising at \(0.266miles/min\)From the question we are told
An observer located 2 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is , and it is changing at a rate of 0.1 rad/min.From,
\(tan\theta = \frac{h}{2}\)
differentiate with respect to h
\(sec^2\theta * \frac{do}{dz} = \frac{1}{2} * \frac{dh}{dz}\\\\\frac{dh}{dz} = 2 sec^\theta * \frac{d\theta}{dz}\\\\\theta = \frac{\pi}{6} and \frac{d\theta}{dz} = 0.1rad/min\\\\\frac{dh}{dz} = 2sec^2 (\frac{\pi}{6}) * (0.1)\\\\= 0.266miles/min\)
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A car starts from rest and accelerates uniformly over a time of 5.37 seconds for a distance of 101 m. Determine the acceleration of the car.
Answers
Answer:
8.10m s-2
Explanation:
A student plans to determine the resistivity of a specific type of metal. To do this, the student will use wires constructed of the metal with known dimensions that are connected to a variable power source. The potential difference across and the current through each wire are measured and the resistance of each is calculated. The resistance is used to determine the resistivity. Which of the following should be kept constant to ensure that the resistivity values are consistent, and why?
a. The potential difference across the wires, because then only the currents will be different.
b. The currents in the wires, because then only the resistances will be different.
c. The lengths of the wires, because the resistivity changes with length.
d. The temperature of the wires, because resistivity changes with temperature.
Answers
Answer:
reviewing the different answers, the correct one is d
Explanation:
In the experiment to determine the resistivity of the wires, the student should use the relationship
R = ρ L / A
ρ = R A/L
in the statement they indicate that the difference that potential and current are measured, calculating the resistances from Ohm's law
V = i R
R = V / i
As resistivity is a property of the material that depends on the temperature, great care must be taken that the resistors do not change the temperature during the experiment, as this alters the resistivity value.
When reviewing the different answers, the correct one is d
1. Which of the following does not affect the resistance of a wire?
a) Length
b) Temperature
c) Usage time
d) Cross-sectional area
2. If a 12V battery is passing current through a resistor with a current of 2A, what is the value of the resistor?
a 24resistance
b) 14resistance
c) 10resistance
d) 6resistance
3. Describe the differences between series and parallel circuits.
4. A circuit contains resistors of 8resistance and 4resistance，what is combined resistance if the resistors are combined:
a) In series
b) In parallel
5. A 0.5A current is passing across three resistors of 8resistance, 4resistance and 12resistance that are linked in series.
What is the potential difference of the circuit?
6. Wire A has a resistance of 24resistance. If wire B is double the length and has a diameter four times as large as wire A, what is the resistance of wire B?
Answers
What must be your car's average speed in order to travel 225 km in 3.35 h ?
Answers
Explanation:
Rate X Time = Distance
Distance / Time = Rate
225 km / 3.35 hr = 67.2 km/hr
If a battery causes a wire to carry a current of 4 Amps how many coulombs of charge flow past any point in the wire in 3 seconds
Answers
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
According to above question ~
Current (I) = 4 AmperesTime (t) = 3 seconds Charge (q) = ?Let's find the charge (q) by using formula ~
\(I = \dfrac{q}{t} \)\(4 = \dfrac{q}{3} \)\(q = 4 \times 3\)\(q = 12 \: \: coulombs\)Hence, 12 coulombs of charge flow past any point in the wire in 3 seconds
A car with mass m is travelling around a flat circular track. the coefficient of static friction between the tires and track is 0.90. which of these changes is the most likely to cause the car to skid off the track? (for each change, assume that all other factors remain constant)
Answers
Change in friction force and acceleration is the most likely changes to cause the car to skid off the track when the coefficient of static friction between the tires and track is 0.90.
What is a friction example?Walking - When we walk on the ground or a surface, our feet are kept firmly planted by the frictional force. We frequently slip on icy or slippery surfaces due to there is less friction present.What is friction means in science?Between the two surfaces which are sliding or attempting to slide over one another, there is a force named friction. For instance, friction makes it challenging to push a book down the floor. Friction always moves an object in the direction that is counter to the direction that it is traveling or attempting to move.
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A fixed quantity of an ideal gas has a pressure, volume, and temperature given by P1, V1, and T1. The pressure and temperature of the gas are both doubled. What is the final volume of the gas, V2, in terms of V1?
Answers
The ideal gas equation is given as,
\(PV=RT\)Here, P is the pressure, V is the volume, R is universal gas constant and T is the temperature.
Let consider the initial case, when pressure is P1, volume is V1 and temperature is T1. The ideal gas equation is given as,
\(P_1V_1=RT_1\ldots(1)\)Consider the case, when pressure is P2, volume is V2 and temperature is T2. The ideal gas equatiojn is given as,
\(P_2V_2=RT_2\ldots(2)\)Dividing equation (1) by equation (2);
\(\frac{P_1V_1}{P_2V_2}=\frac{RT_1}{RT_2}\)Therefore,
\(\frac{V_1}{V_2}=\frac{T_1}{T_2}\times\frac{P_2}{P_1}\)Since,
\(P_2=2P_1\)And,
\(T_2=2T_1\)Therefore,
\(\begin{gathered} \frac{V_1}{V_2}=\frac{T_1}{2T_1}\times\frac{2P_1}{P_1} \\ \frac{V_1}{V_2}=1 \\ V_2=V_1 \end{gathered}\)Therefore, the final volume V2 is equal to initial volume V1. Hence, option (b) is the correct choice.
Which of the following solutions contains the smallest total concentration of ions, assuming complete dissociation?
a) 2 M AI2(SO4)3
b) 2 M AICl3
c) 2 M NaCl
d) 2 M CaCl2
Answers
The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulphate.
What is concentration?Concentration in chemistry is defined as the abundance of an ingredient divided by the total volume of a combination. There are four sorts of mathematical descriptions: mass concentration, molar concentration, number concentration, and volume concentration. The amount of a material, such as salt, that is present in a certain amount of tissue or liquid, such as blood. When there is less water present, a material becomes more concentrated. When a person does not drink enough water, the salt in his or her urine may become more concentrated. A substance's concentration is the amount of solute contained in a given amount of solution. Molarity is the number of moles of solute in one liter of solution and is used to express concentrations.
Here,
The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulfate.
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The structure in the figure below is made from three identical rods of uniform density: Your classmate, Carol, argues that the structure has the same moment of iner- tia about the three axes show below because these axes are equidistant from the structure's center of mass: Do you agree with Carol's reasoning? Yes B No HH
Answers
Yes, the structure has the same moment of inertia about the three axes show below because these axes are equidistant from the structure's center of mass.
What does the moment of inertia mean?
A body's moment of inertia, or resistance to having its speed of rotation about an axis changed by the application of a torque, is a quantifiable measurement of its rotational inertia (turning force). The axis may or may not be fixed, and it may or may not be internal or external.
The direction of the axis usually affects an object's moment of inertia, and the angle between the axis and the center of mass is always a factor. In these instances, the moment of inertia will always be the same if two or more distinct axes are equally spaced from the center of mass.
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Is frictional force the only example of non-conservative force?
Answers
Answer: NO, there are many examples of non-conservative forces.
Explanation: Conservatives forces are special forces whose work is zero in a closed path.
Magnetic and Electric fields are Non- Conservative.A glass block in air has critical angle of 49. What will happen to a ray of light coming through the glass when it is incident at and angle of 50 at the glass air boundary? Illustrate with a diagram
Answers
Answer:
b
Explanation:
I need help please .
Answers
Answer:
option 5
Explanation:
because all u do is have to add them up
what is the formula of moment of force
Answers
Explain
M=fxd
Compare and contrast position graphs and velocity graphs.
Answers
Answer:
The difference between them is that the velocity-time graph reveals the speed of an object (and whether it is slowing down or speeding up), while the position-time graph describes the motion of an object over a period of time.
Explanation:
1. Describe the path light takes as it travels through air and into glass.
Answers
When light travels from air into glass, it refracts towards the normal at the air-glass interface, propagates through the glass, and upon exiting, refracts away from the normal back into the air.
When light travels from air into glass, it undergoes several changes in its path due to the difference in optical properties between the two mediums. The path light takes can be described as follows:
1. Incident Ray: The journey begins with an incident ray, which is the incoming light ray traveling through the air towards the glass surface.
2. Refraction: As the incident ray reaches the interface between air and glass, it encounters a change in the refractive index. Refractive index is a measure of how much a medium can bend light. Glass has a higher refractive index than air, so the incident ray bends towards the normal, which is an imaginary line perpendicular to the surface of the glass.
3. Transmission: After refraction, the incident ray enters the glass and continues its path through the medium. Inside the glass, the light travels in a straight line until it encounters another interface or is affected by other optical phenomena.
4. Internal Reflection: If the incident ray encounters a glass-air interface at an angle greater than the critical angle, total internal reflection can occur. In this case, the light reflects back into the glass instead of transmitting out, effectively bouncing off the interface.
5. Refraction (again): If the incident ray does not undergo total internal reflection, it continues to propagate through the glass. At another glass-air interface, the light exits the glass and enters the air again. This transition involves refraction once more, but this time the light bends away from the normal, returning to its original path in air.
6. Transmitted Ray: Finally, the light ray continues to travel through the air, maintaining its original direction and path as it moves away from the glass surface.
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A toy car is tied to a string and pulled across a table horizontally. Which is the
correct free-body diagram for this situation?
T
FN
FN
T
FN
EN
T
W
W
W
w
А
B
С
D
Ο Α. Α
Answers
y axis:NandW and also f x axis:T and F T away from car.
What is net force 200N air and 600N gravity
Answers
600N - 200N = 400N
Let me know if it works.
A 2.5 Kg watermelon is dropped off an 8-meter balcony. What will the watermelon’s velocity be right before it hits the ground?
Answers
The watermelon’s velocity right before it hits the ground is 12.52 m/s.
Conservation of mechanical energyThe principle of conservation of mechanical energy states that the total energy of an isolated system is always conserved.
P.E = K.E
mgh = ¹/₂mv²
gh = ¹/₂v²
v = √2gh
where;
v is the velocity of the object before it hits the ground.h is the heightThe watermelon’s velocity right before it hits the ground is calculated as follows;
v = √(2 x 9.8 x 8)
v = 12.52 m/s
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2) A bully is pushing a boy against a locker as shown with a force of
500N. The angle between his arms and the ground is 40°. Draw a free-body diagram of
the boy and then find the normal force between the boy and the wall.
HELP
Answers
Answer:
pull out the 9
Explanation: