If the voltage of the power supply is increased by a factor of 3 and the resistance was held constant, the new current will be 0.008 A or 8 mA
What is Power ?Power is the rate at which work is done. Electrical power is measured in Watt.
Given that a circuit is wired with a power supply, a resistor and an ammeter (for measuring current). The ammeter reads a current of 24 mA Determine the new current if the voltage of the power supply was increased by a factor of 3 and the resistance was held constant
Let the
initial voltage = VNew voltage = 3VResistance = RInitial current = 24 mANew current = ?From the power formula, power will always be constant. That is, initial power will be the same with new power
Since P = IV
24/1000 V = I × 3V
0.024V = 3IV
V cancels out
3I = 0.024
I = 0.024/3
I = 0.008 A
Therefore, the new current will be 0.008 A.
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c = speed of light = 3.00 × 108 m/s
A gamma ray has a very high frequency of about 1019 s−1. What is the wavelength of the gamma ray?
A.
3.00 × 10−11 m
B.
3.00 × 1027 m
C.
3.33 × 1010 m
D.
3.33 × 10−12 m
URGENT!!!!!!!!!!
Answer:
The correct answer is option A: 3.00 × 10^(-11) m.
Explanation:
To find the wavelength of a gamma ray with a frequency of about 10^19 s^(-1), we can use the equation:
wavelength = speed of light / frequency
Given:
Speed of light (c) = 3.00 × 10^8 m/s
Frequency (f) = 10^19 s^(-1)
Substituting the values into the equation:
wavelength = (3.00 × 10^8 m/s) / (10^19 s^(-1))
To simplify the expression, we can rewrite the denominator as (1 / 10^(-19)) s:
wavelength = (3.00 × 10^8 m/s) / (1 / 10^(-19)) s
To divide by a fraction, we multiply by its reciprocal:
wavelength = (3.00 × 10^8 m/s) × (10^(-19) s)
Applying the properties of exponents, we can add the exponents when multiplying with the same base:
wavelength = 3.00 × 10^(-11) m
Therefore, the wavelength of the gamma ray is approximately 3.00 × 10^(-11) m.
A 66.1-kg boy is surfing and catches a wave which gives him an initial speed of 1.60 m/s. He then drops through a height of 1.59 m, and ends with a speed of 8.51 m/s. How much nonconservative work (in kJ) was done on the boy?
A 66.1-kg boy is surfing and catches a wave which gives him an initial speed of 1.60 m/s. He then drops through a height of 1.59 m, and ends with a speed of 8.51 m/s. The nonconservative work done on the boy is approximately -42.7 kilojoules.
To find the nonconservative work done on the boy, we need to consider the change in the boy's mechanical energy during the process. Mechanical energy is the sum of the boy's kinetic energy (KE) and gravitational potential energy (PE).
The initial mechanical energy of the boy is given by the sum of his kinetic energy and potential energy when he catches the wave:
E_initial = KE_initial + PE_initial
The final mechanical energy of the boy is given by the sum of his kinetic energy and potential energy after he drops through the height:
E_final = KE_final + PE_final
The nonconservative work done on the boy is equal to the change in mechanical energy:
Work_nonconservative = E_final - E_initial
Let's calculate each term:
KE_initial = (1/2) * m * v_initial^2
= (1/2) * 66.1 kg * (1.60 m/s)^2
PE_initial = m * g * h_initial
= 66.1 kg * 9.8 m/s^2 * 1.59 m
KE_final = (1/2) * m * v_final^2
= (1/2) * 66.1 kg * (8.51 m/s)^2
PE_final = m * g * h_final
= 66.1 kg * 9.8 m/s^2 * 0
Since the boy ends at ground level, the final potential energy is zero.
Substituting the values into the equation for nonconservative work:
Work_nonconservative = (KE_final + PE_final) - (KE_initial + PE_initial)
Simplifying:
Work_nonconservative = KE_final - KE_initial - PE_initial
Calculating the values:
KE_initial = (1/2) * 66.1 kg * (1.60 m/s)^2
PE_initial = 66.1 kg * 9.8 m/s^2 * 1.59 m
KE_final = (1/2) * 66.1 kg * (8.51 m/s)^2
Substituting the values:
Work_nonconservative = [(1/2) * 66.1 kg * (8.51 m/s)^2] - [(1/2) * 66.1 kg * (1.60 m/s)^2 - 66.1 kg * 9.8 m/s^2 * 1.59 m]
Calculating the result:
Work_nonconservative ≈ -42.7 kJ
Therefore, the nonconservative work done on the boy is approximately -42.7 kilojoules. The negative sign indicates that work is done on the boy, meaning that energy is transferred away from the boy during the process.
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Express 6revolutions to radians
Answer:
About 37.70 radians.
Explanation:
1 revolution = 2\(\pi\) radians
∴ 6 revolutions = (6)(2\(\pi\) radians)
6 revolutions = 37.6991 or ≈ 37.70 radians
19. Assume this process is 10% efficient, how much work is done by the gas expanding into the atmosphere?
The amount of work done by the gas is proportional to the pressure and the change in volume, as well as the efficiency of the process. If the pressure and volume are known, the work done by the gas can be calculated by multiplying these values by the efficiency of the process.
The amount of work done by a gas when it expands is proportional to the change in volume, pressure, and temperature. According to the first law of thermodynamics, the energy of a closed system is conserved, so the work done by the expanding gas is equal to the energy transferred from the gas to the environment in the form of work. Therefore, the work done by the gas is equal to the change in energy of the system. Assume that the process is 10% efficient. Then, only 10% of the energy available to the system is converted into work. This means that the remaining 90% of the energy is lost to the environment in the form of heat. As a result, the amount of work done by the gas expanding into the atmosphere is given by the formula
W = E x η, where W is the work done by the gas, E is the energy available to the system, and η is the efficiency of the process. The energy available to the system is determined by the difference between the internal energy of the gas before and after the expansion. The internal energy of a gas is determined by its temperature, pressure, and volume.
Assuming that the temperature and pressure are constant, the change in internal energy is proportional to the change in volume. Therefore, the energy available to the system is equal to the product of the pressure and the change in volume: E = P x ΔV, where P is the pressure of the gas and ΔV is the change in volume during the expansion. Substituting this equation into the formula for work, we get W = P x ΔV x η.
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\(2.25 \times 30\)
Interpreting Graphics The velocity-versus-time graph for a shut-
tle bus moving along a straight path is shown in Figure 13.
a. Identify the time intervals during
which the velocity of the shuttle bus
is constant.
b. Identify the time intervals during
which the acceleration of the shuttle
bus is constant.
c. Find the value for the average veloc-
ity of the shuttle bus during each
time interval identified in b.
d. Find the acceleration of the shuttle
bus during each time interval identi-
fied in b.
e. Identify the times at which the
velocity of the shuttle bus is zero.
f. Identify the times at which the acceleration of the shuttle bus is zero.
g. Explain what the slope of the graph reveals about the acceleration in
each time interval.
Interpreting Graphics The velocity-versus-time graph for a shuttle bus moving along a straight path is shown in Figure 13., all the answer is attached.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
a) The time intervals during which the velocity of the shuttle bus is constant: 50 s to 150 s.
b) The time intervals during which the acceleration of the shuttlebus is constant: 500 s to 600s.
c) The value for the average velocity of the shuttle bus during time interval identified in b is: ( -3 +(-5))/2 =m/s = - 4 m/s.
d) The acceleration of the shuttle bus during time interval identified in b = ( -3 +(-5))/(600 - 500) m/s² = 0.02 m/s²
.e) The times at which the velocity of the shuttle bus is zero is : 200s to 300s.
f) The times at which the acceleration of the shuttle bus is zero is : 50s to 150s.
g) The slope of the graph reveals about the acceleration in each time interval that when it is positive the car is accelerated, when it is negative, the car is decelerated.
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A basketball player grabbing a rebound jumps 80 cm vertically. How much total time (ascent and descent) does the player spend (a) in the top 10 cm of this jump and (b) in the bottom 10 cm? Do your results explain why such players seem to hang in the air at the top of a jump?
(a) The time spent by the player in the top of 10 cm of this jump is 0.14 second.
(b) The time spent by the player in the bottom 10 cm of this jump is 0.38 second.
(c) The result shows that the player spends more time during ascent and decent because of greater distance.
What is the time of motion of the player?
The time taken for the player to jump 80 cm and back to ground is calculated as follows;
t = 2 ( √ ( 2h / g ) )
where;
h is the vertical height travelled by the playerg is acceleration due to due to gravityt = 2 ( √ ( 2 x 0.8 / 9.8 ) )
t = 0.4 s
t = 0.8 second
The time spent by the player in 10 cm jump is calculated as follows;
t = √ ( 2h / g )
t = √ ( 2 x 0.1 / 9.8 )
t = 0.14 s
From 10 cm at the bottom, the player has travelled 70 cm, and the time of motion of this player is calculated as follows;
t = √ ( 2 x 0.7 / 9.8 )
t = 0.38 second
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Define the Element of Art, value. If you were using a pencil, how would you create a darker value?
Elements of art are stylistic features that are included within an art piece to help the artist communicate. The seven most common elements include line, shape, texture, form, space, colour and value, with the additions of mark making, and materiality.
You would create a darker value if you shaded it, shading it makes it darker.
An ant climbs vertically on a fence. Its motion is shown on the following graph of vertical position � yy vs. time � tt. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. What is the instantaneous speed of the ant at time � = 8 s t=8 st, equals, 8, start text, space, s, end text?
The instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s.
To find the instantaneous speed of the ant at time t=8s, we need to calculate the derivative of the displacement function with respect to time. Since the displacement of the ant is given by a piecewise function, we need to differentiate each segment of the function separately and then piece them together. From 0s to 4s, the displacement of the ant decreases linearly from 6m to 2m. The slope of this segment is -1m/s. From 4s to 7s, the displacement of the ant is constant at 2m. The slope of this segment is zero. From 7s to 9s, the displacement of the ant increases linearly from 2m to 5m. The slope of this segment is 1.5m/s. Finally, from 9s to 10s, the displacement of the ant is constant at 5m. The slope of this segment is zero.
Therefore, the instantaneous speed of the ant at t=8s is equal to the slope of the segment between t=7s and t=9s, which is 1.5m/s. This means that the ant is moving upwards at a constant speed of 1.5m/s at time t=8s. It's important to note that the instantaneous speed of the ant tells us how fast it's moving at a specific moment in time. It's not the same as the average speed over a given time interval, which would be calculated by dividing the total displacement by the total time elapsed.
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Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an
example of
A) positive reinforcement
B) negative reinforcement
C positive punishment
D) negative punishment
Answer:
B) negative reinforcement
Explanation:
Derrick goes to a party and has a bad time, which decreases his party going behavior. This is an example of negative reinforcement. Hence option B is correct.
What is reinforcement ?According to the reinforcement hypothesis, "contingent consequences" of human activities lead to human behaviour. This means that when employees get the appropriate reinforcers, their conduct can change for the better, and bad behaviour can be eliminated.
Self-awareness, self-reflection, and self-regulation are the three key tenets of the self-regulation paradigm of human behaviour. Historically, rewards have correlated with self-regulation. Although the result may have an impact on the conduct, behaviour also need antecedents. Positive reinforcement, negative reinforcement, extinction, and punishment are the four different forms of reinforcement. The use of a positive reinforcer is known as positive reinforcement. In order to encourage the antecedent behavior from that, negative reinforcement is the technique of eliminating anything undesirable from the subject's environment.
Hence option B is correct.
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When it rains, the roads are most slippery
A: Just after the rain stops and the road is drying off.
B: Just after the rain begins,
because oil dropped from vehicles
has not yet been washed away.
C: After several days of rainy weather, because the
road surface becomes waterlogged.
Answer:
c
Explanation:
after several days of rainy weather, because the road surface becomes waterlogged
Please help me with this question.
With 20 windings, the generator will produce a higher EMF and, consequently, a larger current. This increased current will provide more power to the light bulb, resulting in a brighter illumination compared to the dim illumination observed with only 5 windings.
When you increase the number of wire windings in the generator from 5 to 20, the effect on the light bulb will be a brighter illumination. The brightness of the light bulb is directly proportional to the number of windings in the generator.
By increasing the number of windings, you are increasing the amount of wire wrapped around the magnet. This results in a higher number of turns per unit length, leading to an increased magnetic flux passing through the wire coils.
According to Faraday's law of electromagnetic induction, a change in magnetic flux induces an electromotive force (EMF) in a conductor, which in this case is the copper wire. The induced EMF causes electric current to flow through the wire, creating a flow of electrons.
The 30-W light bulb requires a certain amount of electrical power to produce its specified brightness. With 20 windings, the generator will produce a higher EMF and, consequently, a larger current. This increased current will provide more power to the light bulb, resulting in a brighter illumination compared to the dim illumination observed with only 5 windings.
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It is almost as if each outer planet is a solar system in its own right.
True or False
Which of these would be a part of a force diagram for this image? Check all that apply.
The options that would be a part of a force diagram for the attached image are:
A; A dot that represents the box
B; A vector labeled Fg, pointing straight down
E; A vector labeled Fs, pointing parallel to and up the ramp.
What are the qualities of a force diagram?This is a simple force diagram of an item lying on an inclined plane.
The first step is to draw a dot in the center of the box, as here is where we will draw the other forces operating on the box.
Second, we must recognize the force of gravity (F_g), which is a vertical vector line drawn from that dot and whose perpendicular component assures that the box is pressing against the inclined plane.
Third, we can see that the box is moving down the slope, but it will face some friction in the other direction. As a result, we will draw a vector line parallel to the inclined plane from the dot to the left of the box. Frictional force (F_fs) will be shown by this line.
Fourth, there would be a normal force attempting to counteract the perpendicular component of gravity (F_g). This normal force is perpendicular to the perpendicular component of F_g. This is referred to as F_g•sin. We will draw a vector line perpendicular to the inclined plane starting from the dot to represent this normal force. F_n represents this normal force.
Looking at the possibilities, only Options A, B, and E correlate to the forces stated above.
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a. When throwing a ball vertically upward, my hand moves through a distance of about 1.0 m before the ball leaves my hand. The 0.80 kg ball reaches a maximum height of about 20 m above my hand. while the ball is in my hand after the ball leaves my hand
The required, it experiences a downward force due to gravity and a force due to air resistance.
What is the projectile motion?Projectile motion is the movement of an entity projected into space. After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectory.
Here,
When throwing a ball vertically upward, there is a displacement of about 1.0 m from the initial position of the hand to the position where the ball leaves the hand. The mass of the ball is 0.80 kg and it reaches a maximum height of about 20 m above the initial position of the hand. While the ball is in the hand after it leaves, it experiences a downward force due to gravity and a force due to air resistance.
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A
6N
11 N
What is the net force ?
Answer:
66n
Explanation:
4376
Help ??? I don’t understand
The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?
It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.
2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.
3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.
4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.
5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.
6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".
7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).
8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).
9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.
10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.
11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).
12. Evaluating the expression, we find: t ≈ 546.
13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
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1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.
2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.
Air at 273K and 1.01x10³Nm2 pressure contains 2.70x1025 molecules per cubic meter. How many molecules per cubic meter will there be at a place where the temperature is 223K and pressure is 1.33x10 Nm-2
The molecules of O2 that are present in 3.90 L flask at a temperature of 273 K and a pressure of 1.00 atm is 1.047 x 10^23 molecules of O2
Step 1: used the ideal gas equation to calculate the moles of O2
that is Pv=n RT where;
P(pressure)= 1.00 atm
V(volume) =3.90 L
n(number of moles)=?
R(gas constant) = 0.0821 L.atm/mol.K
T(temperature) = 273 k
by making n the subject of the formula by dividing both side by RT
n= Pv/RT
n=[( 1.00 atm x 3.90 L) /(0.0821 L.atm/mol.k x273)]=0.174 moles
Step 2: use the Avogadro's law constant to calculate the number of molecules
that is according to Avogadro's law
1 mole = 6.02 x10^23 molecules
0.174 moles=? molecules
by cross multiplication
the number of molecules
= (0.174 moles x 6.02 x10^23 molecules)/ 1 mole =1.047 x 10^23 molecules of O2
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Why is it called a muzzleloader?
Any weapon that loads its bullet and propellant charge from the muzzle is referred to as a muzzleloader. This is separate from the more advanced and complex current breech-loading weapon designs.
Is a muzzleloader the same as a flintlock?Simply said, a muzzle loader is a firearm that loads through the muzzle and is generally lengthy. A spring-loaded arm that hits a replaceable piece of flint on a metal plate to produce sparks, which ignite the gunpowder and light the gun, is the firing mechanism known as a flintlock.
French artist and inventor Marin Le Bourgeoys, who flourished in the Renaissance from 1550 to 1634, is credited with creating the muzzle-loaded rifle.
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How far would you push a car if you did 28,000J of work, exerting a force of 825N?
We push a car to the distance of 33.939m if we do 28000J work , exerting a force of 825N.
What is work done and force ?work done: The amount of energy transferred to a body .Force : force is an influence that can change the velocity of an object .How to calculate distance moved from work done and force ?we know ; work done =Force ×distance moved in the direction of force Mathematically, W=F.Swhere W= work doneF = applied force
S = distance moved
So S=W/F=28000J/825N
=33.939meter
Thus, we can conclude that the distance moved by the car is 33.939m.
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For which planet is the length of the plants day longer than the planets year
How would an object need to move in order for total distance traveled and displacement to be equal?
An object need to move in a straight line in the same direction in equal intervals of time in order for total distance traveled and displacement to be equal.
Which of the following is not an aspect of instincts?
What's the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s?
Question 16 options:
A)
12,000 J
B)
2,940 J
C)
6,000 J
D)
5,880 J
the kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s is 6,000 J. Option C is correct answer.
The kinetic energy of an object that has a mass of 30 kilograms and moves with a velocity of 20 m/s can be calculated by using the formula:
K.E = 1/2 mv²
Where, K.E = Kinetic energy of the objectm = Mass of the objectv = Velocity of the object
Putting the given values in the above formula:
K.E = 1/2 mv²K.E = 1/2 × 30 kg × (20 m/s)²K.E = 1/2 × 30 × 400K.E = 6000 joules
The correct answer is C.
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You have a conductor rotating inside a radial magnetic field.
The length of the conductor is 5 cm, and it rotates perpendicular to the diameter of the circle of 2.7 cm.
It starts with an initial velocity of 0.1 rad/s, and rotates for the first 2 seconds with an acceleration of 0.14 rad/s2 and after these 2 seconds it maintains this constant angular velocity for the rest of the process.
The magnetic field in which it moves is constant with a magnitude of 672 T.
Just considering the process that moves at a constant speed, what is the electric potential generated when traveling 140°?
The electric potential generated when traveling 140° is 10 V , under the condition that the length of the conductor is 5 cm, and it rotates perpendicular to the diameter of the circle of 2.7 cm.
The electric potential induced by a rotating conductor in a magnetic field is called the motional emf. The magnitude of the motional emf is derived and stated by the formula:
emf = B × L × w × sin(θ)
Here,
B = magnetic field strength,
L = length of the conductor,
w = angular velocity of the conductor,
θ = angle between the direction of motion and the magnetic field.
For this case,
we have
B = 672 T,
L = 5 cm = 0.05 m,
w = 0.1 rad/s concerning t < 2 s
w = 0.1 + 0.14 × (t - 2) rad/s for t >= 2 s ¹.
The angle traveled in 2 seconds is:
θ = w × t = 0.1 rad/s × 2 s = 0.2 rad
After that, it maintains a constant angular velocity so that at t = 3 s, it has traveled an additional:
theta = w × t = (0.1 + 0.14 × (3 - 2)) rad/s × (3 - 2) s = 0.24 rad
The total angle traveled up to this point is:
θtotal = 140° × pi / 180° + 0.2 rad + 0.24 rad = 1.17 rad
Therefore, the electric potential generated when traveling this angle is:
emf = B ×L × w ×sin(θtotal)
= 672 T × 0.05 m × (0.1 + 0.14 ×(3 - 2)) rad/s × sin(1.17)
≈ 10 V
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You push a 1.5 kg ball across a desk for 2 seconds, so that 10 J of work have been done. How much power was produced?
Answer
Answer:
i need help with the same question
Explanation:
If you have contacted a seller to report a problem with a product and you were ignored, what should you do next? send a letter or e-mail to the company’s headquarters take the business to small claims court contact your local consumer protection agency or Better Business Bureau ask to speak to a manager
If you have contacted a seller to report a problem with a product and you were ignored, it is best to contact your local consumer protection agency or better business bureau.
Who is a Consumer?This is the final destination for goods and services and is the individual who purchases them for personal, family reasons etc and not for resale which is why they are referred to as buyer.
In cases where seller has been contacted over a problem with the product and ignores, then it is best to contact your local consumer protection agency or better business bureau so that appropriate action will be done and the issue sorted out.
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A baseball has mass 0.147 kg. If the velocity of a pitched ball has a magnitude of 44.5 m/s and the batted ball's velocity is 55.5 m/s in the opposite direction, find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
Explanation:
We have,
Mass of a baseball is 0.147 kg
Initial velocity of the baseball is 44.5 m/s
The ball is moved in the opposite direction with a velocity of 55.5 m/s
It is required to find the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat.
Change in momentum,
\(\Delta p=mv-mu\\\\\Delta p=m(v-u)\\\\\Delta p=0.147\times ((-55.5)-44.5)\\\\\Delta p=-14.7\ kg-m/s\\\\|\Delta p|=14.7\ kg-m/s\)
Impulse = 14.7 kg-m/s
Therefore, the magnitude of the change in momentum of the ball and of the impulse applied to it by the bat is 14.7 kg-m/s