If the same amount of heat Q is applied to each cube, the aluminum cube will have a greater end temperature than the iron cube.
The average thermal energy of the particles in a system is measured by temperature. It is a scalar number that represents the amount of heat energy present in a substance and is usually expressed in degrees Celsius (°C), Kelvin (K), or Fahrenheit (°F). The kinetic energy of the particles in a system, which is the energy associated with their motion, is proportional to temperature. When a system's temperature rises, so does the kinetic energy of its particles, resulting in quicker and more chaotic motion. In contrast, when the temperature drops, the The particles' kinetic energy reduces, resulting in slower and less chaotic motion.
Here, The eventual temperature of the two cubes will be determined by their respective heat capacities. The quantity of heat energy required to raise the temperature of a unit of mass of a material by one degree Celsius is defined as its specific heat capacity.
Aluminum has a greater specific heat capacity than iron, which means it takes more heat energy to increase its temperature by the same amount.
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Question 1 (1 point)
A massive asteroid in our solar system's asteroid belt, having an estimated mass of 2.6 x
1021 kg and an orbital speed of 14900 m/s. Determine the amount of kinetic energy
possessed by the asteroid.
Answer:
17.8 x 10^29 J
Explanation:
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 0.5 * m * v^2
where m is the mass of the object and v is its velocity.
In this case, the mass of the asteroid is 2.6 x 10^21 kg, and its velocity is 14900 m/s. Plugging these values into the formula:
KE = 0.5 * 2.6 x 10^21 kg * (14900 m/s)^2
KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2
KE = 0.5 * 2.6 x 10^21 kg * 22.11 x 10^7 m^2/s^2
KE = 17.8 x 10^29 J
The asteroid possesses 17.8 x 10^29 J of kinetic energy.
Aɳʂɯҽɾҽԃ Ⴆყ ɠσԃKEY ꦿ
Can someone answer please
Addition work required to move spring by extra 10cm is 12J.
Define sprint constant.
A restoring force that is proportional to the spring's displacement is stored in a spring when it is compressed or relaxed. The force needed to extend or compress a spring by a unit length is specified by the spring constant. The stiffness constant is another name for it.
According to Hooke's Law, the force required to compress or lengthen a spring is inversely related to the length of the spring. By deducting the initial work from the overall job or the completed work, additional work can be computed.
Work done = 1/2 kx^2
x1 = 10cm = 0.1m
x2 = 10+10 = 20cm = 0.2m
W1 = 4J
W1 = 4 = 1/2 k *0.1*0.1
k = 4*2 /0.01 = 800N/m
W2 = 1/2 *800*0.2*'0.2
W2 = 400*0.04 = 16J
So required work is W = W2-W1
W 16-4 = 12J
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Can someone help me with this
(a) For graph A the object is moving at a zero constant speed.
(b) For graph B the object is moving at a constant speed greater than zero.
(c) For graph C the object is moving a uniform speed.
What is constant and uniform velocity?Constant velocity refers to a situation in which an object moves at a constant speed in a straight line. This means that the magnitude of the velocity (i.e. the speed) of the object remains the same over time, while its direction may or may not change.
Uniform velocity refers to a situation in which an object moves with a constant speed, but also changes its direction. In other words, the object has a constant magnitude of velocity (i.e. speed), but its direction is constantly changing. An object moving in a circular path at a constant speed is an example of an object with uniform velocity.
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suppose a 59.5 kg gymnast climbs a rope. (a) what is the tension (in n) in the rope if he climbs at a constant speed?
The required tension in the rope if he climbs at constant speed is said to be 583.7 N.
The mass of the gymnast is given as 59.5 kg.
It is said that he climbs a rope at constant speed. This speed is to be calculated.
An object is said to be moving at a constant pace when it covers the same distance in the same amount of time. When moving at a constant pace, an object covers a fixed distance in a fixed amount of time.
The action-reaction pair of forces operating at either end of the aforementioned elements can also be thought of as tension. A string, rope, chain, or other similar object, or both ends of a rod, truss member, or other equivalent three-dimensional object, transmits tension when they pull in the same direction.
Drawing a free-body diagram has allowed us to:
T - m g = 0
T = m g = 59.5(9.81) = 583.7 N
Thus, the tension in the rope if he climbs at constant speed is said to be 583.7 N.
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the largest object in the asteroid belt is ceres with a radius of 470 km and a mass of 9.384*10^20 kg. what is the weight, in newtons, of a 160. kg astronaut standing on ceres
The largest object in the asteroid belt is ceres with a radius of 470 km and a mass of [tex]9.384*10^2^0 kg[/tex]. The weight of a 160. kg astronaut standing on ceres is 43.2 N.
The weight of the astronaut on Ceres can be calculated using the formula:
w = m * g
here,
w is weight of the astronaut,
m is mass of the astronaut, and
g is gravitational acceleration on Ceres.
The gravitational acceleration on Ceres:-
[tex]F = G * (m1 * m2) / r^2[/tex]
here,
F is gravitational force between two objects,
G is gravitational constant,
m₁ & m₂ are masses of the two objects, and
r is distance between them.
For an object of mass m near the surface of a spherical object of mass M and radius R, the distance r can be approximated as (R + h).
For Ceres, the gravitational acceleration:-
[tex]g = G * M / R^2[/tex]
here,
G is gravitational constant,
M is mass of Ceres, and
R is radius of Ceres.
Reserving values given:-
[tex]g = (6.67430 × 10^-^1^1^ ^m^3/(kg s^2)) * (9.384 × 10^20 kg) / (470000 m)^2[/tex]
[tex]g = 0.27 m/s^2[/tex]
Now, weight of the astronaut as:
w = m * g
[tex]w = 160 kg * 0.27 m/s^2[/tex]
w = 43.2 N
Therefore, the weight of a 160 kg astronaut standing on Ceres is approximately 43.2 newtons.
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This is an AP physics problem on the subject of Conservation of Momentum
The Momentum is the product of mass and velocity.
What is the momentum?Momentum is a measure of an object's motion. It is defined as the product of an object's mass and its velocity. In physics, momentum is a conserved quantity, which means that the total momentum of a closed system remains constant unless acted upon by an external force.
Final momentum of Ax = 1 * 2 * cos 30 = 1.73 Kgm/s
Final momentum of Ay = 1 * 2 * sin 30 =1 Kg m/s
Final momentum of Bx = 1 * Vs * cos 30
Final momentum of By = 1 * Vy * sin 30
The velocity is then;
1 * 5 + 0 = (1 * 2) + (1 * vs)
5 = 2 + vs
Vs = 3 m/s
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1. find the distance between a 0.300 kg billiard ball and a 0.400 kg billiard ball if the magnitude of the gravitational force between them is 8.92 x 10-11 n.
The distance between two pool balls are separated by 0.0424 m.
By gravitational force, what do you mean?The gravitational pull draws any two mass-containing things together. It mentions the gravitational force. The force will always be applied along the line joining the two masses in the direction of the other mass, according to the formula F=Gm1m2r2.
The following formula can be used to determine the gravitational force between two objects:
F = G * (m1 * m2) / r²
where F is the gravitational force's strength, G is the gravitational constant (6.67 x 10-11 N×m2/kg), m1 and m2 are the objects' masses, and r is the separation between them.
To determine the separation between the two pool cues To account for r, we can rearrange this expression as follows:
Represents the objects' masses, while r denotes the separation between their mass centres.
Rearranging this formula to solve for r will allow us to get the distance between the two pool balls:
r = √(G × m1 × m2 / F)
Substituting the given values, we get:
r = √(6.67 x 10⁻¹¹ N*m²/kg² × 0.300 kg × 0.400 kg / 8.92 x 10⁻¹¹ N)
r = 0.0424 m
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The time needed for a water wave to change from the equilibrium level to the crest is 0.5731 s.
1. What is the period of the wave? Answer in units of s.
2. What is the frequency of the wave? Answer in units of Hz.
The period of wave is 2.2924s and the wavelength of the wave 0.436Hz.
Time and wavelengthA wavelength's worth of space separates the equilibrium and the crest.
As a result, the amount of time needed to get there would be
t=T/4
0.5731=T/4
T= 2.2924s,
where T is the time period.
The frequency is now determined by f=1/T
f=1/2.2924
f =0.436Hz.
The distance covered by a wave during one revolution is referred to as its wavelength. To put it another way, we can say that the wavelength is the distance between two consecutive crests and troughs.
The following formulas, f = v, make it simple to determine the frequency if we are aware of the wave's velocity and wavelength beforehand. After calculating the frequency, we can use T = 2 = 1 f to calculate the time period.
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how large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 950 kg ? neglect the buoyant force on the cargo volume itself.
The total lift capacity of a balloon is determined by the amount of lift generated by the hot air or other lighter-than-air gas inside it.
The buoyancy force of a spherical balloon filled with helium is equal to the weight of the helium (Fb = mhg), where mh is the mass of helium, and g is the acceleration due to gravity. The total lifting force (Ft) of the balloon is equal to the buoyancy force of the helium plus the weight of the balloon structure (Ft = Fb + mb g), where mb is the mass of the balloon structure. Therefore, the total lifting force of the balloon is:
[tex]Ft = mhg + mb g[/tex]
The maximum cargo mass (mc) that can be lifted by the balloon is equal to the total lifting force divided by the acceleration due to gravity:
[tex]mc = \frac{Ft}{g} =\frac{ (mhg + mb g)}{g} \\ = mh + mb[/tex]
For a balloon with a radius of 7.15 m, filled with helium and a structure mass of 950 kg, the maximum cargo mass that can be lifted is:
[tex]mc = mh + mb = 0 + 950 kg = 950 kg[/tex]
Threrefore, the total lifting force of the balloon is:950kg
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complete question:A spherical balloon has a radius of 7.15 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargo volume itself.
How do we define work as the product of force and distance in the direction of force?
Answer:
Work is defined as the product of force and distance in the direction of force because it represents the amount of energy that is transferred from one object to another as a result of a force being applied over a certain distance.
The definition of work as the product of force and distance (W = Fd) is based on the concept of energy transfer. Energy is defined as the ability to do work, and work is defined as the transfer of energy from one object to another. When a force is applied to an object over a certain distance, the energy that is transferred is equal to the amount of work done.
how many ( ) capacitors can be charged from a new - , - battery before the battery is likely exhausted of its stored energy? assume the charging operation has a 50% efficiency. (within three significant digits)
The capacitor is used to store charge.
What is a capacitor?We have to know that the capacitor is the kind of device that can be used to store the electrical charges. As such, the capacitor can be able to be charged from a battery.
This question is incomplete and the mathematical details of the problem are missing. However, we should know that the efficiency of the charging would depend on the kind of battery that has been used and the nature of the capacitor as we have in the question above here.
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4) based on your data, compare the superposition principle for the electric fields and electric potential?
The electric field follows vector superposition while the voltage follows scalar superposition, which is the difference between the two superpositions (i.e., The net electric field at any point is the vector sum of the electric field due to the individual charges).
What is Electric field?
The term "electric field" refers to the physical field that surrounds electrically charged particles and acts to either attract or repel all other charged particles in the field (or E-field). One of the four fundamental interactions, or forces, of nature is the electromagnetic field, which manifests in both electric and magnetic fields. Electric fields, which are significant in many parts of physics, are used in electrical technology.
For instance, in atomic physics and chemistry, the electric field serves as the attractive force that holds the atomic nucleus and electrons of an atom together.
Moreover, it is the force that causes molecules to form when atoms bind chemically.
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(ii) One possible path of the spacecraft as it approaches the planet is shown in fig.1.1 The spacecraft enters the orbit at point A with speed 3.7x10^3 ms^-1.At point B, a distance of 5.00x10^7 from the centre of the planet, the spacecraft has a speed of 4.1x10^3ms^-1. The mass of the spacecraft is 650kg. For the spacecraft moving from point B to point A, show that the change in gravitational potential energy of the spacecraft is8.3x10^9
The change in gravitational potential energy of the spacecraft as it moves from point B to point A is 8.3x10^9 J.
The change in gravitational potential energy of the spacecraft as it moves from point B to point A can be calculated using the formula:
[tex]ΔPE = -GMm(1/rA - 1/rB)[/tex] , where
ΔPE is the change in gravitational potential energy,
G is the gravitational constant,
M is the mass of the planet,
m is the mass of the spacecraft,
rA is the distance from the planet's center at point A, and
rB is the distance from the planet's center at point B.
Using the given values, we have:
[tex]ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)[/tex][tex]ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)[/tex]
Simplifying the expression, we get:
[tex]ΔPE = -8.3x10^9 J[/tex]
Therefore, the change in gravitational potential energy of the spacecraft as it moves from point B to point A is [tex]8.3x10^9[/tex]J, which is a negative value because the spacecraft is moving closer to the planet and its gravitational potential energy is decreasing.
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advantages and disadvantages of being firstborn
Answer:
Advantages of being firstborn:
Increased attention and nurturing from parents, as they are often more invested in the success of their first child.Higher levels of academic and intellectual stimulation, as parents may provide more resources and opportunities for learning.Greater responsibility and maturity, as the firstborn often has to help care for younger siblings and take on leadership roles in the family.Disadvantages of being firstborn:
Increased pressure to set a good example, both academically and behaviorally, for younger siblings.Less individual attention from parents as more children are born and added to the family.More conflict with younger siblings as the firstborn may feel resentment about having to share resources and attention.A lack of opportunities for leadership and responsibility later in life, as younger siblings may fill these roles.Explanation:
Answer:
Advantages and disadvantages of being firstborn
Explanation:
Advantages of being a firstborn include having higher self-esteem and academic achievements, being seen as more responsible, and receiving extra attention from parents.
Disadvantages of being a firstborn include the pressure to live up to high expectations and the possibility of feeling resentful that their younger siblings get more freedom.
consider a circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, by what factor is the brightness of the other bulb multiplied?
A circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, By factor (2) is the brightness of the other bulb multiplied.
When two identical light bulbs are connected in parallel, the total resistance of the circuit is half of the resistance of each individual bulb. If one of the bulbs burns out, the total resistance of the circuit doubles, which means that the current through the remaining bulb is halved. The brightness of a light bulb is directly proportional to the current passing through it, so the brightness of the remaining bulb will be reduced by a factor of 2.
I = V/R
If both bulbs have the same resistance R and the same voltage V is applied to each, then the current passing through each bulb is:
I = V/R
When both bulbs are connected in parallel, the total current in the circuit is the sum of the currents through each bulb:
[tex]I_t_o_t_a_l = I_1 + I_2[/tex]
here,
[tex]I_1[/tex] & [tex]I_2[/tex] are currents passing by each bulb.
Reserving Ohm's law:-
[tex]I_t_o_t_a_l = V/R + V/R[/tex]
Simplifying:-
[tex]I_t_o_t_a_l = 2V/R[/tex]
The power P dissipated by each bulb is given by:
[tex]P = IV = V^2/R[/tex]
So the brightness of each bulb is proportional to [tex]V^2[/tex]. If one bulb burns out, the voltage across the remaining bulb remains the same, but the resistance of the circuit doubles, so the current passing through the remaining bulb is halved. This means that the power dissipated by the remaining bulb is reduced by a factor of 2, which corresponds to a reduction in brightness by the same factor. Therefore, the brightness of the remaining bulb is reduced by a factor of 2.
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Sarah rides her horse with a constant speed of 8 km/h. How far can she travel in 1 1/2 hours?
Answer:
12 Kilometers
Explanation:
To find the distance Sarah travels in a given time, we can use the formula:
distance = speed * time
In this case, the speed of the horse is 8 km/h and the time Sarah travels is 1 1/2 hours.
distance = 8 km/h * 1 1/2 hours = 12 km
So, Sarah can travel 12 kilometers in 1 1/2 hours.
For both waves on strings and sound waves in tubes,
A. The mode number is independent of the wavelength.
B. A higher mode number means a shorter wavelength.
C. A higher mode number means a longer wavelength.
The correct statement is B.
A higher mode number means a shorter wavelength.
What is Wavelength?
Wavelength is an important characteristic of all types of waves, including electromagnetic waves (such as light and radio waves) and mechanical waves (such as sound waves and water waves). In general, the wavelength of a wave is determined by the source of the wave, the medium through which it travels, and the frequency of the wave.
The correct statement is B. A higher mode number means a shorter wavelength.
In both cases, the mode number refers to the number of segments, or nodes, into which the wave can be divided. The wavelength, on the other hand, refers to the distance between two adjacent peaks or troughs of the wave.
When the mode number increases, the number of segments or nodes in the wave increases, which means that the wavelength must decrease in order to maintain the same frequency of the wave. This is because the total length of the string or tube remains the same, and so the length of each segment must decrease as the number of segments increases. Therefore, a higher mode number corresponds to a shorter wavelength.
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what is the range of distance before and behind the main focus distance? the character or object remains in focus if they remain in this range
The range of distance before and behind the main focus distance is referred to as the depth of field.
The depth of field is determined by several factors, including aperture size, focal length, and distance to the subject. Generally, the depth of field is greater behind the main focus distance than in front of it. The distance before the main focus distance is referred to as the near focus limit, and the distance behind it is referred to as the far focus limit. The depth of field is an important consideration in photography and videography as it affects the sharpness and clarity of the final image or video. It can be adjusted by changing the aperture size, focal length, or distance to the subject. The range of distance before and behind the main focus distance is referred to as the depth of field.
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Mallory pushes her water bottle of 1.70 kg to the side. She applies a force of 108.20 N to the right. If the bottle accelerates at 8.79 m/s2, what is the coefficient of friction?
According to the question, the coefficient of friction is found to be 0.138. It is the ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together.
What is the coefficient of friction?The coefficient of friction may be defined as a measure of the amount of friction that is significantly existing between two surfaces. When you find a coefficient of friction, you're calculating the resistance to motion at the interface of two surfaces of similar or dissimilar materials.
According to the question,
The force, F = m × a = 1.70 kg × 8.79 = 14.94 N.
The formula for calculating the coefficient of friction is as follows:
μ = F/N = 14.94/108.20 = 0.138.Therefore, the coefficient of friction is found to be 0.138.
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what is the magnitude of the acceleration experienced by an electron in an electric field of 750n/c? how does the direction of the acceleration depends on the direction of the field at that point?
The magnitude of the acceleration experienced by an electron in an electric field of 750 N/C is approximately 1.318 × 10¹⁴ m/s².
If the electric field is in the direction of positive x-axis, the electron will be accelerated in the negative x-axis direction. If the electric field is in the direction of positive y-axis, the electron will be accelerated in the negative y-axis direction, and so on.
The magnitude of the acceleration experienced by an electron in an electric field can be calculated using the formula:
a = F/m
where F is the force experienced by the electron in the electric field, and m is the mass of the electron.
The force experienced by an electron in an electric field is given by:
F = qE
where q is the charge of the electron, and E is the electric field strength.
The mass of an electron is approximately 9.11 × 10⁻³¹ kg, and the charge of an electron is -1.602 × 10⁻¹⁹ C.
Substituting these values, we get:
F = (-1.602 × 10⁻¹⁹ C) × (750 N/C) = -1.2015 × 10⁻¹⁶ N
a = F/m = (-1.2015 × 10⁻¹⁶ N) / (9.11 × 10⁻³¹ kg) ≈ -1.318 × 10¹⁴ m/s²
Therefore, the magnitude of the acceleration experienced by an electron in an electric field of 750 N/C is approximately 1.318 × 10¹⁴m/s².
The direction of the acceleration of the electron depends on the direction of the electric field at that point. By convention, the direction of the electric field is the direction in which a positive charge would experience a force. Since the charge of an electron is negative, the force experienced by an electron in an electric field is opposite in direction to the electric field.
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What is the sum of kinetic and potential energy?
Answer:
Kinetic energy plus potential energy equals total mechanical energy. The equation for this is KE + PE = Total Mechanical Energy, where KE is kinetic energy, PE is potential energy, and Total Mechanical Energy is the total amount of energy present.
consider a 20 mm x 20 mm x 1 mm silicon die that dissipates 50 w. the electrical circuitry is on the back side of the die and all the heat is transferred from the front side and is dissipated from there. if the thermal conductivity of silicon is 125 w/moc, what is the temperature difference across the die?
A temperature difference (T) is the result of subtracting two independent isolated temperature measurements or measuring the amount of temperature rise or decline.
The two layers are the same thickness, but the materials are not. A's thermal conductivity is double that of B's. The temperature difference between the two ends of the wall in thermal equilibrium is 36o C. Determine the beginning and end temperatures, as well as the sample mass and energy provided. Subtract the end and starting temperatures to get the temperature change (T). Multiply the temperature difference by the mass of the sample. Distribute the heat/energy supplied by the product.
To calculate the temperature difference, just subtract the smaller figure from the bigger one, in this example 19 degrees Celsius from 25 degrees Celsius. This results in a six-degree Celsius temperature differential.
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a golfer hits an iron shot with a new club as she approaches the green. she is pretty sure, based on past experience, that she hit the ball with a speed of 50 m/s , but she is not sure at what angle the golf ball took flight. she observed that the ball traveled 100 m before hitting the ground. what angle did she hit the ball?
θ = 49.3° at this angle she hit the ball.
The initial velocity of the ball can be broken down into its x and y components:
Vₓ = 50 * cos(θ)
Vy = 50 * sin(θ)
The ball's position can be found using the kinematic equations for constant acceleration due to gravity:
[tex]X = V_{x} * t\\Y = V_{y}* t - (\frac{1}{2}) * 9.81 * t^{2}[/tex]
Since we know the ball's final position is 100 m, we can set these equations equal to 100 and solve for t:
[tex]100 = V_{x} * t\\100 = V_{y} * t - (\frac{1}{2}) * 9.81 * t^{2}[/tex]
From here, we can solve for the angle θ. Rearranging the initial velocity equation:
Vy = 50 * sin(θ)
We can substitute this into the equation for Y, and solve for θ:
θ = [tex]arcsin\frac{(2*(100 + (\frac{1}{2})*9.81*t^{2}))}{(50*t)}[/tex]
After solving the equations for t, we can plug that value into this equation for θ and get the angle at which the ball was hit.
The answer is θ = 49.3°
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An 420 kg car accelerates from 0 to 50 m/s^2 in 4.3 s.
What is the acceleration of the car and what is the force produced by the
car?
The acceleration of the car is [tex]11.63 m/s^2.[/tex] The force produced by the car is 4,876.4 Newtons.
How to calculate the force and acceleration?
To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:
acceleration = (50 m/s - 0 m/s) / 4.3 s =[tex]11.63 m/s^2[/tex]
Therefore, the acceleration of the car is[tex]11.63 m/s^2.[/tex]
To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:
force = mass x acceleration
In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:
[tex]force = 420 kg \times 11.63 m/s^2 = 4,876.4 N[/tex]
Therefore, the force produced by the car is 4,876.4 Newtons.
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A 0.112-kg billiard ball moving at 154 cm/s strikes a second billiard ball of the same mass moving in
the opposite direction at 46 cm/s. The second billiard ball rebounds and travels at 72 cm/s after the
head-on collision.
Determine the post-collision velocity of the first billiard ball.
The post-collision velocity of the first billiard ball is 272 cm/s.
Define VelocityVelocity is a vector quantity that describes an object's speed and direction of motion.
We can solve this problem by using the law of conservation of momentum, which states that the total momentum of an isolated system remains constant.
The momentum of an object is defined as the product of its mass and velocity:
p = m * v
The total initial momentum of the system is the sum of the momenta of the two billiard balls before the collision:
p_initial = m * v1 + m * v2
where m is the mass of each billiard ball, v1 is the initial velocity of the first billiard ball, and v2 is the initial velocity of the second billiard ball.
After the collision, the first billiard ball will rebound with a velocity v1', and the second billiard ball will rebound with a velocity v2'. The total final momentum of the system is the sum of the momenta of the two billiard balls after the collision: p_final = m * v1' + m * v2'
Since the law of conservation of momentum applies, we can set the initial momentum equal to the final momentum
p_initial = p_final
Substituting the given values, we get:
m * v1 + m * v2 = m * v1' + m * v2'
Simplifying, we get:
v1' = (m * v1 + m * v2 - m * v2') / m
v1' = v1 + (v2' - v2)
Plugging in the given values, we get:
v1' = 154 cm/s + (72 cm/s - (-46 cm/s))
v1' = 272 cm/s
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An object has 10 J of GPR.What would be its GPE if its mass was halved?
If the mass of the object is halved, its new GPE would be 5 J. The gravitational potential energy (GPE) of an object near the surface of the Earth is given by the formula:
GPE = mgh
where:
m is the mass of the object
g is the acceleration due to gravity (9.81 m/s² near the surface of the Earth)
h is the height of the object above some reference level (usually taken to be the ground level)
The given information of the object having 10 J of gravitational potential energy (GPE) is insufficient to calculate its mass or height. As a result, we cannot use the above formula to calculate the object's GPE if its mass is halved.
However, we can take advantage of the fact that an object's GPE is directly proportional to its mass. That is, if we cut the object's mass in half, its GPE will be cut in half as well. This is mathematically expressed as:
GPE2 = (1/2) GPE1
where:
GPE1 is the object's first GPE.
GPE2 is the object's new GPE after its mass has been halved.
As a result, if the object's GPR is considered its initial GPE and its mass is halved, its new GPE is:
GPE2 = (1/2) GPR
Substituting the given value of GPR = 10 J, we get:
GPE2 = (1/2) x 10 J = 5 J
So, if the mass of the object is halved, its new GPE would be 5 J.
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a solid sphere of silver, which is a good conductor, has a spherical cavity at its center. there is a point charge at the center of the cavity. the silver sphere has a charge of 9.00 nc on its outer surface and a charge of -2.00 nc on the surface of the cavity. what is the value of the point charge?
The value of the point charge is zero.
What do you mean by charge?
Charge, also known as electric charge, electrical charge, or electrostatic charge and denoted by the symbol q, is a property of a unit of matter that indicates how many more or fewer electrons than protons it contains.
When a subatomic particle is exposed to an electric and magnetic field, its electric charge causes it to feel a force. There are two sorts of electric charges: positive and negative. The electric field outside the sphere is the same as the field from a point charge with a net charge of Q, according to Gauss' law, whereas the electric field inside the sphere is zero. For a solid or hollow sphere, this conclusion holds valid.
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a bicycle wheel has a diameter of 74.6 cm and a mass of 0.758 kg. the bicycle is placed on a stationary stand on rollers and a resistive force of 95.7 n is applied to the rim of the tire. assume all the mass of the wheel is concentrated on the outside radius. in order to give the wheel an acceleration of 2.6 rad/s 2 , what force must be applied by a chain passing over a sprocket with diameter 8.38 cm? answer in units of n.
Force applied by a chain passing over a) is 854 N and force is required if the chain shifts to a 8.38 cm is 869N.
A) The expression for force is product of force and distance of force from the axis of rotation,
τ = r x F
Here sum of clock wise moments are negative and sum of anticlockwise moments are positive,
τ = r x Fa
τnet = r x Fa - R x F
Torque is product of inertia and angular acceleration,
I∝ = r x Fa - R x F
[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]
Moment of inertia of wheel is,
I = MR²
= (0.758)(0.746)
= 0.565 kg.m³
Fa = 854 N
B) using the equation,
[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]
= [tex]\frac{(0.565) (2.6) + (95.7)(0.746) }{0.0838}[/tex]
= 869N
Newton's alternate law establishes that the net necklace acting on a body equals the product of the body's moment of indolence and its angular acceleration,
The moment of indolence serves as a measure of the body's resistance to a change in its rotational state of stir.
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A current of 0.33 A is following through a circuit .If the potential difference across two points of wire is 5V ,Claculate the resistance
Answer:
The value of resistance is
[tex]15.15ohm[/tex]
Explanation:
Greetings!!!
Given values:-current(I)= 0.33A
potential difference(V)= 5V
Required values:-resistance (R)= ?
Solution:-Firstly, recall the ohm's law
V= RISubstitute known variables into the equation
(5)= R(0.33)Solve for Resistance
R= 15.15 ΩIf you have any questions tag me on comments
Hope it helps!!!
Answer:
15 Ω.
Explanation:
The resistance of a circuit can be calculated using Ohm's law, which states that the potential difference (V) across a conductor between two points is directly proportional to the current (I) flowing through it, given by the equation V = IR.
To find the resistance, we can rearrange the equation to R = V/I, where R is the resistance. Substituting the values we have, we get:
R = 5V / 0.33A = 15 Ω
So, the resistance of the circuit is 15 Ω.
a 1000-kg car is moving at 15 km/h. if a 2000-kg truck has 23 times the kinetic energy of the car, how fast is the truck moving? 51 km/h 72 km/h 61 km/h 41 km/h
Answer:
51 km/hr
Explanation:
car: KE = 1/2mv² = 1/2(1000 kg)(15 km/hr)² = 112500
truck: KE = 23(112500) = 2587500
KE = 1/2mv² → v² = 2(KE)/m → v = √2(KE)/m
v = √2(2587500)/(2000 kg) = 50.9 ≈ 51 km/hr
