Answer:
merry Christmas ⛄
Under what conditions does moving electric charge produce a magnetic force
in a copper wire?
A. Under any conditions
B. Only when the wire is connected to the magnet
C. Only when the wire is wrapped around an iron bar
D. Only when the wire is coiled
Answer:
I'm pretty sure that the answer is C. Hope this helps.
Explanation:
Answer:
Answer is A. Under any conditions
Explanation:
Just got it correct on A p e x
As the pendulum swings from position A to position B, what is the relationship of kinetic energy to potential energy (neglect friction)? (5 points)
The kinetic energy increase is equal to the potential energy decrease.
The potential energy increase is equal to the kinetic energy decrease.
The kinetic energy and potential energy remain the same.
The kinetic energy increase is more than the potential energy decrease.
As the pendulum swings from position A to position B, the potential energy decreases while the kinetic energy increases. According to the law of conservation of energy, the total energy in a system remains constant, neglecting friction. Therefore, the potential energy lost by the pendulum is converted into kinetic energy. The correct relationship of kinetic energy to potential energy as the pendulum swings from position A to position B is:
The potential energy decrease is equal to the kinetic energy increase.
So, the answer is option B.
Answer:
The potential energy increase is equal to the kinetic energy decrease.
3. An electron moves along the trajectory from i to f as shown.
a) Does the electric potential energy increase, decrease or stay the same? Explain.
b) Is the electron's speed at f greater than, less than or equal to its speed at i? Explain.
Answer:
decrease
Explanation:
this is for part a
A 56.4×10-12 F parallel plate capacitor is made of two conducting sheets of area 3.10 cm^2 separated by a film of mylar of dielectric colistant 3.1. The capacitor is connected to a 11.8 V battery.
€0 = 8.854 × 10-12 F/m.
Find the magnitude of the electric field between the plates of the capacitor?
The magnitude of the electric field between the plates of the capacitor is 19.47 V/m.
To find the magnitude of the electric field between the plates of the given capacitor, we can use the formula for electric field in a parallel plate capacitor. The electric field (E) between the plates of a parallel plate capacitor is given by the equation:
E = V/d
Where V is the voltage applied to the capacitor and d is the separation between the plates. In this case, the voltage applied is 11.8 V and the separation between the plates can be calculated using the area (A) and the dielectric constant (k) of the mylar film. The capacitance (C) of a parallel plate capacitor is given by the equation:
C = €0 * (A/d)
Where €0 is the permittivity of free space.
Rearranging the above equation, we can solve for d:
d = €0 * A / C
Substituting the given values, we have:
d = (8.854 × 10^(-12) F/m) * (3.10 × 10^(-4) m^2) / (56.4 × 10^(-12) F)
Simplifying the expression, we find:
d = 0.606 m
Now, substituting the values of V and d into the equation for electric field, we get:
E = (11.8 V) / (0.606 m)
E = 19.47 V/m
Therefore, the magnitude of the electric field between the plates of the capacitor is 19.47 V/m.
For more questions on voltage, click on:
https://brainly.com/question/27861305
#SPJ8
Using Electrostatic Concept Explain The Classification of substances in Terms of Their ability to Conduct Electric Charges.
Answer:
please mark me as brainliest I'm begging u
Explanation:
The behavior of an object that has been charged is dependent upon whether the object is made of a conductive or a nonconductive material. Conductors are materials that permit electrons to flow freely from particle to particle. An object made of a conducting material will permit charge to be transferred across the entire surface of the object. If charge is transferred to the object at a given location, that charge is quickly distributed across the entire surface of the object. The distribution of charge is the result of electron movement. Since conductors allow for electrons to be transported from particle to particle, a charged object will always distribute its charge until the overall repulsive forces between excess electrons is minimized. If a charged conductor is touched to another object, the conductor can even transfer its charge to that object. The transfer of charge between objects occurs more readily if the second object is made of a conducting material. Conductors allow for charge transfer through the free movement of electrons
which of the following is not a type of energy?
Answer:
Neutronic is not a defined type of energy.
If a 25 kg lawnmower produces 347 w and does 9514 J of work, for
how much time did the lawnmower run?
Steps 1 and 2)
The variables are W = work, P = power, and t = time. In this case, W = 9514 joules and P = 347 watts.
The goal is to solve for the unknown time t.
-----------------------
Step 3)
Since we want to solve for the time, and we have known W and P values, we use the equation t = W/P
-----------------------
Step 4)
t = W/P
t = 9514/347
t = 27.4178674351586
t = 27.4 seconds
-----------------------
Step 5)
The lawn mower ran for about 27.4 seconds. I rounded to three sig figs because this was the lower amount of sig figs when comparing 9514 and 347.
-----------------------
Note: we don't use the mass at all
A ceramic capacitor has an effective plate area of 4 cm2 separated by 0.1 mm of ceramic of relative
permittivity 100.
a) Calculate the capacitance of the capacitor in picofarads.
b) If the capacitor in part (a) is given a charge of 1.2 μC what will be the pd between the plates?
a) The capacitance of the ceramic capacitor is approximately 354.16 pF.
b) The potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.
To calculate the capacitance of the ceramic capacitor, we can use the formula:
C = (ε₀ * εᵣ * A) / d
where:
C is the capacitance,
ε₀ is the vacuum permittivity (approximately 8.854 x 10^(-12) F/m),
εᵣ is the relative permittivity of the ceramic (given as 100),
A is the effective plate area (given as 4 cm², which is equal to 4 x 10^(-4) m²),
d is the separation between the plates (given as 0.1 mm, which is equal to 0.1 x 10^(-3) m).
Let's calculate the capacitance in picofarads (pF):
a) Calculation of capacitance (C):
C = (ε₀ * εᵣ * A) / d
= (8.854 x 10^(-12) F/m * 100 * 4 x 10^(-4) m²) / (0.1 x 10^(-3) m)
= (8.854 x 100 x 4) / 0.1
= 354.16 pF
Therefore, the capacitance of the ceramic capacitor is approximately 354.16 pF.
b) To find the potential difference (PD) between the plates when the capacitor is given a charge of 1.2 μC (microcoulombs), we can use the formula:
PD = Q / C
where:
PD is the potential difference,
Q is the charge (given as 1.2 μC, which is equal to 1.2 x 10^(-6) C),
C is the capacitance (calculated in part a) as 354.16 pF, which is equal to 354.16 x 10^(-12) F).
Let's calculate the potential difference (PD):
b) Calculation of potential difference (PD):
PD = Q / C
= (1.2 x 10^(-6) C) / (354.16 x 10^(-12) F)
= 3.39 x 10^6 V
Therefore, the potential difference between the plates of the capacitor will be approximately 3.39 x 10^6 volts.
For more such questions on Potential difference
https://brainly.com/question/24142403
#SPJ11
Paco pulls a 67 kg crate with 738 N and of force across a frictionless floor 9.0 M how much work does he do in moving the crate
Answer:
W = 6642 J
Explanation:
Given that,
Mass of a crate, m = 67 kg
Force with which the crate is pulled, F = 738 N
It is moved 9 m across a frictionless floor
We need to find the work done in moving the crate. Let the work done is W. It is given by :
W = F d
W = 738 N × 9 m
= 6642 J
So, the work done is 6642 J.
What is sound waves
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
Learn more about sound waves at
https://brainly.com/question/1199084
#SPJ1
How are wavelength and frequency related?
As wavelength increases frequency increases.
b. As wavelength decreases frequency decreases.
As wavelength increases frequency decreases.
d. None of the above
Answer:
Hey dear
Explanation:
Its option C
As Wavelength increases frequency decreases
In other case,
When Wavelength decreases frequency increases
its opposite
Tq
In the Roman soldier model for refraction, what happens to the first soldier who hits the muddy stream?
A. They slow down and keep going straight
B. They slow down and turn slightly
C. They speed up and keep going straight
D. They speed up and turn slightly
In the Roman soldier model for refraction, the first soldier who hits the muddy stream would slow down and turn slightly. Option B is correct.
The Roman soldier model is a simplified model used to explain the behavior of light when it passes from one medium to another. In this model, a group of Roman soldiers is marching across a field towards a muddy stream. The soldiers represent light rays, and the muddy stream represents the boundary between two media with different refractive indices.
When the first soldier hits the muddy stream, they slow down because the speed of light decreases when it passes from a medium with a lower refractive index to a medium with a higher refractive index. Additionally, the soldier turns slightly because the direction of the light ray changes as it passes through the boundary between the two media. This change in direction is called refraction, and it occurs because the speed of light changes when it passes through a medium with a different refractive index.
The amount of refraction that occurs depends on the angle at which the light ray hits the boundary between the two media and the difference in refractive indices between the two media. The Roman soldier model is a useful tool for understanding the basics of refraction, but it has limitations and cannot fully explain all aspects of the phenomenon. Option B is correct.
To know more about the Refraction, here
https://brainly.com/question/16362069
#SPJ1
How much current is in a circuit with a 1.5 V battery and three
2-ohm resistances (bulbs) in series?
Answer: 0.25A
Explanation: To calculate the current in the circuit, we can use Ohm's Law, which states that the current (I) flowing through a circuit is equal to the voltage (V) divided by the resistance (R):
I = V / R
In this case, the total resistance of the circuit is the sum of the individual resistances of the three bulbs in series, which gives us:
R = 2 + 2 + 2 = 6 ohms
The voltage of the battery is given as 1.5V.
So, using Ohm's Law, we can calculate the current in the circuit as:
I = V / R = 1.5 / 6 = 0.25 amps
Therefore, the current in the circuit is 0.25 amps.
The current in the circuit is 0.25 A.
Voltage across the circuit, v = 1.5 V
Resistance in each resistors, R = 2Ω
Since, the resistors are connected in series combination, their effective resistance,
R' = 3R
R' = 3 x 2
R' = 6Ω
According to Ohm's law, if the temperature and all other physical factors remain constant, the voltage across a conductor is directly proportional to the current that is flowing through it.
So, according to Ohm's law,
V = IR
Therefore, current flowing through the given circuit,
I = V/R
I = 1.5/6
I = 0.25 A
To learn more about Ohm's law, click:
https://brainly.com/question/1247379
#SPJ1
A coil of wire lies flat on a horizontal surface. The coil is carrying current in an anticlockwise sense when the coil is viewed from above. For the points inside the coil, determine the direction of the magnetic field caused by this current. Explain your answer with the aid of labelled diagram.
When current flows through a coil of wire, it generates a magnetic field. The direction of the magnetic field can be determined using the right-hand rule. If you point your right thumb in the direction of the current flow, your fingers will curl in the direction of the magnetic field.
What is the current flow about?In this case, the current is flowing in an anticlockwise sense when viewed from above. Using the right-hand rule, the direction of the magnetic field inside the coil can be determined to be perpendicular to the plane of the coil, and in a clockwise direction when viewed from above.
The diagram below shows the coil of wire lying flat on a horizontal surface with the direction of the magnetic field labelled:
+-----+-----+-----+-----+-----+
| |
| |
| |
+ X X +
| |
| |
| |
+-----+-----+-----+-----+-----+
Therefore, In this diagram, the X's represent the direction of the magnetic field lines inside the coil. As you can see, the magnetic field lines are oriented perpendicular to the plane of the coil and in a clockwise direction when viewed from above.
Learn more about magnetic field on:
https://brainly.com/question/14411049
#SPJ1
Question on file. Question
The speed of the block when it reaches marker 1 is given by √(v₀² + 2aL).
The block spends (-v₀ + √(v₀² + 8aD)) / (2a) seconds between marker 1 and marker 2.
How to determine speed and time?Part A:
To determine the speed of the block when it reaches marker 1, use the equations of motion. The block starts with an initial speed of v0 and experiences a constant deceleration of magnitude a.
Using the equation of motion:
v₁² = v₀² + 2aΔx
where v₁ = speed at marker 1, v₀ = initial speed, a = acceleration, and Δx = distance traveled.
Since the block slows down, the final speed v₁ at marker 1 is less than the initial speed v₀. The distance traveled from the initial position to marker 1 is L.
Therefore, the equation becomes:
v₁² = v₀² + 2aL
Taking the square root of both sides:
v₁ = √(v₀² + 2aL)
So the speed of the block when it reaches marker 1 is given by √(v₀² + 2aL).
Part B:
To determine the time the block spends between the two markers, use the equation of motion:
Δx = v₀t + (1/2)at²
where Δx = distance between marker 1 and marker 2, v₀ = initial speed, a = acceleration, t = time, and t = time between the two markers.
Since the block slows down, the final speed at marker 2 is 0. Therefore, the distance between marker 1 and marker 2 is D.
The equation becomes:
D = v₀t + (1/2)at²
Rearranging the equation:
at² + v₀t - 2D = 0
This is a quadratic equation in t. Solve it using the quadratic formula:
t = (-v₀ ± √(v₀² + 8aD)) / (2a)
Since the block slows down, the time between the two markers is the positive root of the quadratic equation:
t = (-v₀ + √(v₀² + 8aD)) / (2a)
So the block spends (-v₀ + √(v₀² + 8aD)) / (2a) seconds between marker 1 and marker 2.
Find out more on speed and time here; https://brainly.com/question/4931057
#SPJ1
Excellent human jumpers can leap straight up to a
height of 95 cm off the ground.
To reach this height, with what speed would a person need to leave the ground?
The speed that the person needs to leave the ground will be 4.32m/s
From the question given,
Height = 95cm
Since the person leave the ground v = 0m/s
acceleration due to gravity g = 9.8m/s²
Using the equation of motion
v² = u² + 2as
a = -g (upward motion)
s = h (distance changes to height)
The equation will become:
0² = u² - 2gh
0² = u² - 2(9.8)(0.95)
u² = 18.62
u = √18.62
u = 4.32
Hence the speed that the person needs to leave the ground will be 4.32m/s
Learn more here: https://brainly.com/question/20352766
Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
To learn more about diameter
https://brainly.com/question/32968193
#SPJ8
What is the momentum of a helicopter of mass 200 kg moving with a speed of 3 m/s?
Answer:
p = 600 kg·m/s
Explanation:
p = momentum
m = Mass
v = Velocity
Momentum - m*v
p = 200*3
p = 600 kg m/s
1. A 9.32 x 10³N Car is traveling West on 14 towards the "Affle" house. Let the force onto
the wheels be set to be twice that of the car's total weight. The coefficient of kinetic
friction is said to be 0.222.
a. Determine the acceleration of the car
2. Determine the acceleration of the crate. A rightward force of 302 N is applied to an 18.6
kg crate to accelerate it across the floor. The coefficient of friction between the crate and
the floor is 0.750.
(1) The acceleration of the car is determined as 17.42 m/s².
(2) The acceleration of the crate is determined as 8.89 m/s².
Acceleration of the car
The acceleration of the car is calculated from the net force acting on the car.
∑F = ma
F - Ff = ma
F - μW = ma
where;
F is the applied force on the car = 2 times weightW is weight of the carμ is coefficient of kinetic friction m is mass of the carm = W/g
m = (9320)/(9.8)
m = 951.02 kg
2(9320) - 0.222(9320) = 951.02a
16,570.96 = 951.02a
a = 17.42 m/s²
Acceleration of the crateF - μW = ma
F - μmg = ma
302 - 0.75(18.6 x 9.8) = 18.6a
165.29 = 18.6a
a = 8.89 m/s²
Thus, the acceleration of the car is determined as 17.42 m/s².
The acceleration of the crate is determined as 8.89 m/s².
Learn more about acceleration here: https://brainly.com/question/605631
#SPJ1
Which statement is a scientifically accurate description of velocity?
A, Walking south along the two-mile canyon trail generally takes less time than traveling the same trail north because walking south is all downhill.
B, The hiker began hiking the park's five-mile north hiking trail at 8:00 a.m. with plenty of daylight left to complete the hike before dark.
C, The motorcyclist traveled along a highway at 55 mph and reached the campsite in less than the two-hour estimated time.
D, The boat traveled from the dock north to the 200-meter marker in the bay in less than 5 minutes, giving the passengers several more hours to fish.
Answer: D
Explanation:
north=direction
200-meter= distance
less than 5 minutes= time
Calculate the displacement Vector for a particle moved From Thepoint
(4, 3, 2) to a point (8,3,6)
Answer:
first braliest me
Explanation:
Which best explains why making a pancake from batter is an example of a chemical change?
-The pancake that forms is a different state of matter.
-The change from batter to pancake can be reversed.
-A new substance forms when the batter is cooked.
-The batter changes shape when it is cooked.
The correct answer is C. A new substance forms when the batter is cooked.
Explanation:
When a chemical change occurs the properties, and composition of substances change. This means atoms in the substance re-arrange to form a new substance. This only occurs when there is a chemical change, but not when physical changes occur, indeed a physical change only affects the state of the matter, shape, size, etc.
In the case of the pancake, this is an example of a chemical change because though the process of cooking the pancake changes its composition. Due to this, the properties of the cooked pancake, and the butter are not the same as a new substance forms. Also, in this and most chemical changes, reversibility is not possible, that is why you cannot reverse the process and make the cooked pancake batter once again.
Answer:
C. on edge
Explanation:
A closed vessel can sink to a depth of 41.0 m in the water before the external pressure crushes it. To what depth could this same contained be immersed in a deep vat of mercury (density = 13.6 x 10^3 kg/m^3) without it being crushed?
The vessel can be immersed to a depth of 0.3006 m in the deep vat of mercury without being crushed.
The question requires us to determine the depth to which a closed vessel that can sink to a depth of 41.0 m in water before the external pressure crushes it could be immersed in a deep vat of mercury without being crushed. We can determine this using the concept of pressure.Pressure is defined as the amount of force acting per unit area. Pressure is given by the formula:
P = F/A,
where P is pressure, F is force, and A is area. Since the area remains constant, we can say that pressure is directly proportional to force. Thus, the greater the force acting on an object, the greater the pressure exerted on the object. The pressure exerted by a liquid depends on the density of the liquid, the depth of the liquid, and the acceleration due to gravity. This can be expressed using the formula:
P = ρgh,
where P is pressure, ρ is density, g is acceleration due to gravity, and h is depth. Let us first calculate the pressure exerted by the water at a depth of
41.0 m:ρ of water = 1000 kg/m³g = 9.81 m/s²h = 41.0 m
Substituting these values in the formula, we get:
P = ρgh= (1000 kg/m³)(9.81 m/s²)(41.0 m)= 405570 Pa
Now, we need to determine the depth to which the vessel can be immersed in mercury without being crushed. Let us call this depth "d". The pressure exerted by the mercury at this depth is equal to the pressure exerted by the water at a depth of 41.0 m. Thus, we can equate the two pressure values:
ρ of mercury = 13600 kg/m³g = 9.81 m/s²P = 405570 Pa
Substituting these values in the formula, we get:ρgh = P(13600 kg/m³)(9.81 m/s²)(d) = 405570 PaSolving for d, we get:d = 0.3006 m.
For more question vat
https://brainly.com/question/14480417
#SPJ8
A point charge q1 has a magnitude of 3.5x10-6 C. A second charge q2 has a magnitude of -1.8x10-6 C and is located 0.15 m from the first charge. Determine the electrostatic force exerts on each other.
The electrostatic force exerts on each other is 1.134 N
Electrostatic force calculation.
The electrostatic force between the two charges is given by Coulomb's Law:
F = k * |q1| * |q2| / r^2
where k is the Coulomb constant (9.0 x 10^9 N*m^2/C^2), |q1| and |q2| are the magnitudes of the two charges, and r is the distance between them.
Substituting the given values, we have:
F = (9.0 x 10^9 N*m^2/C^2) * (3.5 x 10^-6 C) * (1.8 x 10^-6 C) / (0.15 m)^2
F = 1.134 N
The electrostatic force exerted on each charge is equal in magnitude but opposite in direction, according to Newton's Third Law. Therefore, the magnitude of the force on each charge is 1.134 N, but they point in opposite directions. The force on q1 is attractive (toward q2), while the force on q2 is repulsive (away from q1).
Learn more about electrostatic force below.
https://brainly.com/question/17692887
#SPJ1
A parachute on a racing dragster opens and changes speed of the car from 85 m/s to 45 m/s in a period of 4.5 seconds. What is the acceleration of the dragster
Answer:
\(a=-8.89\ m/s^2\)
Explanation:
Initial velocity, u = 85 m/s
Final velocity, v = 45 m/s
Time, t = 4.5 s
We need to find the acceleration of the dragster. The rate at which the velocity of an object changes is called the acceleration of an object. It can be given by :
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{45-85}{4.5}\\\\a=-8.89\ m/s^2\)
So, the acceleration of the dragster is \(8.89\ m/s^2\) and it is deaccelerating.
Positive electric charges are always attracted to ________ charges.
Answer:
Negative electric charges
a heavy ball is hung with a string from the ceiling. another string is attached to the bottom of the ball. a downward pulling force is exerted on the lower string as shown in the figure below. which of the following statements is true? a. if the lower string is pulled suddenly by a large force, the upper string will break first. b. if the lower string is pulled suddenly by a large force, the lower string will break first. c. if the lower string is pulled suddenly by a large force, the two strings will break at the same time. d. if the lower string is pulled by a slowly increasing force, the lower string will break first. e. if the lower string is pulled by a slowly increasing force, none of the string will eventually break.
The tension will be greater on the upper string because the lower string will only support the pull while the upper string will support the weight of the ball. The upper string is therefore more likely to break as a result.
What is string tension?String tension, measured in pounds or kilograms, is the force holding the strings to the racket's frame. It's important to never just say a number to your stringer when describing your preferred unit measurement! However, the majority of stringers will assume that you mean pounds. For the majority of players, the ideal string tension falls between 48 and 54 lbs. More power is available with a looser (lower) tension, but better control is possible with a tighter tension. Beginners will likely want more control, so they might initially prefer a tighter tension.
Here,
Because the upper string will be supporting the weight of the ball while the lower string will only be supporting the pull, there will be more tension on the upper string. As a result, the upper string has a higher chance of breaking.
To know more about string tension,
https://brainly.com/question/4087119
#SPJ4
Electric field inside a charged rubber balloon is maximum or zero?
If the object on the Moon were raised to a height of 30.0 m, what would be the potential energy? PE=mgh (g on the Moon is 1.62m/s)
Activities 1. Find the force needed to accelerate a mass of 40kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10s
The force needed to accelerate a mass of 40 kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10 seconds is 12.4 N.
Start by calculating the change in velocity (Δv) experienced by the object. This can be done by subtracting the initial velocity v₁ from the final velocity v.
Δv = v - v₁ = ((8î + 3) - 5k) - ((4î - 5) + 3k)
= 8î + 3 - 5k - 4î + 5 - 3k
= 4î - 8k + 8
Next, calculate the acceleration (a) using the formula:
a = Δv / t
where t is the time interval, given as 10 seconds.
a = (4î - 8k + 8) / 10
= (0.4î - 0.8k + 0.8) m/s²
The force (F) required to accelerate the object can be found using Newton's second law:
F = m * a
where m is the mass, given as 40 kg.
F = (40 kg) * (0.4î - 0.8k + 0.8) m/s²
= (16î - 32k + 32) N
Simplify the expression to obtain the final answer:
F = 16î - 32k + 32 N
≈ 12.4 N
Therefore, the force needed to accelerate a mass of 40 kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10 seconds is approximately 12.4 N.
For more such questions on force, click on:
https://brainly.com/question/12970081
#SPJ8