The ball will hit the ground with a speed of 12 m/s.
What is acceleration?Acceleration is the rate of change of velocity over time. It is the rate at which an object's speed or direction changes. Acceleration can be speeding up, slowing down, or changing direction. It can be positive, negative or zero. Positive acceleration is when an object speeds up, negative acceleration is when an object slows down and zero acceleration is when an object is moving at a constant speed. A force is needed to cause acceleration. Examples of forces that cause acceleration are gravity, friction, and applied forces.
This is due to the fact that the speed of an object under the influence of gravity is constantly increasing, so that after 4 seconds of free-fall the ball will have accelerated to a speed of 12 m/s (3 m/s multiplied by the square root of 4, which is 2).
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The occupants of a vehicle not wearing a seat belt, traveling at a speed of 60 m.p.h. and striking a fixed object will:
The occupants of a vehicle not wearing a seat belt, traveling at a speed of 60 m.p.h. and striking a fixed object will most likely be seriously injured or killed.
When a vehicle strikes a fixed object while traveling at high speeds, such as 60 m.p.h., it is common for the occupants to be thrown from their seats and potentially suffer serious injuries or death. When the body is subjected to such a high force of impact, the internal organs can be severely damaged, resulting in internal bleeding, broken bones, and brain injuries.The use of seat belts is essential in keeping occupants safe in the event of a collision. Seat belts are designed to secure the occupants in their seats, preventing them from being thrown around inside the vehicle. Seat belts also help to distribute the force of the impact evenly across the body, reducing the risk of serious injuries.According to statistics, wearing a seat belt reduces the risk of death or serious injury in a car accident by 50%. Therefore, it is important for all occupants of a vehicle to wear their seat belts at all times. In the event of a collision, the use of seat belts can make the difference between life and death.Longer than 100 words:In the event of a collision, the occupants of a vehicle not wearing seat belts and traveling at a speed of 60 m.p.h. and striking a fixed object are likely to be seriously injured or killed. When a vehicle collides with a fixed object at high speeds, the occupants can be thrown from their seats, potentially causing serious injuries or death. High-impact forces can cause internal bleeding, broken bones, and brain injuries, among other injuries.The use of seat belts is critical in protecting occupants in the event of a collision. Seat belts are designed to hold occupants securely in their seats, preventing them from being thrown around the vehicle. Seat belts also help to distribute the force of the impact evenly across the body, reducing the risk of serious injuries.
According to statistics, wearing a seat belt reduces the risk of death or serious injury in a car accident by 50%. Hence, it is crucial for all vehicle occupants to wear seat belts at all times. In the event of a collision, the use of seat belts can make the difference between life and death.
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4. What are 3 things that you can think of doing, that would reduce
your electricity bill?
Unit test
Problem
Vincenzo is playing tennis after school with friends. He swings his racket and hits a tennis ball. His racket exerts force A on the ball. Which object experiences the reaction force to force A?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The tennis ball
(Choice B)
B
Vincenzo
(Choice C)
C
The racket
Answer:
it is the
Explanation:
The object that experiences the reaction force to force A is the racket itself, which experiences an equal and opposite force from the ball. So, the correct answer is (Choice C) - The racket.
When Vincenzo swings his racket and hits the tennis ball, his racket exerts force A on the ball. According to Newton's Third Law of Motion, the ball exerts an equal and opposite force back on the racket. This is called the reaction force. Therefore, the object that experiences the reaction force to force A is the racket itself.
The reaction force is equal in magnitude and opposite in direction to force A, as per Newton's Third Law. This phenomenon is true for every action and reaction pair, where the two forces act on different objects. In this case, force A acts on the ball, and the reaction force acts on the racket.
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two weights are connnected by a very light, flexible cord that passed over an 80.0 n frictionless pully of radius 0.3 m. the pulley is a solid uniform disk and supported by a hook connected to the ceiling. what force the does ceiling exert on the hook?
Main Answer: The force exerted by the ceiling on the hook is 40N.
Supporting Question and Answer:
How does the radius of the pulley affect the force exerted by the ceiling on the hook?
The radius of the pulley does not directly affect the force exerted by the ceiling on the hook. The force exerted by the ceiling is determined by the weight of the weights and the tension in the cord, which is dependent on the weight alone. The radius of the pulley only influences the mechanical advantage of the system, affecting the distribution of forces between the weights and the tension in the cord. However, regardless of the pulley's radius, the force exerted by the ceiling will always be half the weight of the weights.
Body of the Solution: To determine the force exerted by the ceiling on the hook, we need to consider the forces acting on the system.
Let's assume that the two weights are labeled as W1 and W2. W1 is connected to the pulley on one side, and W2 is connected to the other side. The force exerted by the ceiling on the hook is equal to the tension in the cord.
Considering the equilibrium of forces:
1.For W1:
Weight (W1) pulls downward with a force of W1.The tension in the cord acts upward, opposing the weight of W1.2.For W2:
Weight (W2) pulls downward with a force of W2.The tension in the cord acts upward, opposing the weight of W2.Since the pulley is frictionless, there are no torque or rotational forces to consider.
Now, let's analyze the system using the given information:
The tension in the cord is the same on both sides. Let's call it T. Since the cord is light and flexible, it doesn't contribute any significant weight or force.
For W1:
Downward force: W1
Upward force: T
For W2:
Downward force: W2
Upward force: T
Since the pulley is in equilibrium, the sum of the clockwise and counterclockwise torques must be zero.
The torque due to W1 is given by:
τ1 = (W1)(r)
The torque due to W2 is given by:
τ2 = (W2)(r)
Since the torques are equal and in opposite directions:
τ1 = τ2
W1r = W2r
Therefore, W1 = W2
Given that the two weights are equal, we can label their weight as W.
For both W1 and W2:
Downward force: W
Upward force: T
Now, we can set up an equation using Newton's second law for the vertical motion of the weights:
For W1:
W - T = m1a, where m1 is the mass of W1
For W2:
W - T = m2a, where m2 is the mass of W2
Since W1 = W2 = W, we can rewrite the equations as:
W - T = W1a
W - T = W2a
Combining these equations, we get:
W - T = W1a = W2a
Simplifying further, we have: 2T = W
Therefore, the tension in the cord (T) is equal to half the weight of the weights (W).
Now, we can determine the force exerted by the ceiling on the hook, which is equal to the tension in the cord. Thus, the force exerted by the ceiling is half the weight of the weights.
the force exerted by the ceiling on the hook is equal to half the weight of the weights, which in this case is 40.0 N.
Final Answer:Therefore,in this case the force exerted by the ceiling on the hook is 40N.
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TRUE or FALSE: Most Electromagnetic waves are blocked by the atmosphere.
True
False
65 000(0. 08 x 200 x 0. 004) / (800 x 300) find Scientific figure 
The scientific figure of 65 000 (0. 08 x 200 x 0. 004) / (800 x 300) = 1.73333333 x 10⁻²
To find the scientific figure of the given expression, we need to simplify it first by following the order of operations (PEMDAS) and then convert it to scientific notation.
Simplifying the expression:
65,000(0.08 x 200 x 0.004) / (800 x 300)
= 65,000(16 x 0.004) / (800 x 300)
= 65,000(0.064) / (240,000)
= 4,160 / 240,000
= 0.0173333333
Converting to scientific notation:
0.0173333333
= 1.73333333 x 10⁻²
Therefore, the scientific figure of the given expression is 1.73333333 x 10⁻²
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HELP PLEASE!
A 700 kg race car makes one lap around a track. It has a velocity of 20 m/s with a centripetal force of 5,600 N. What is the radius of the track?
A speed skater goes around a turn with a 25 m radius. The skater has a velocity of 15 m/s and experiences a centripetal force of 720 N. What is the mass of the skater?
A 900-kg car moving at 5 m/s takes a turn around a circle with a radius of 30 m. Determine the net force acting upon the car.
An 800 kg race car makes one lap around a track. It has a velocity of 40 m/s with a centripetal force of 16,000 N. What is the radius of the track?
PLEASE EXPLAIN AND SHOW WORK!
The centripetal force is the force that keeps a body moving in a circular path.
The centripetal force is given by; F = mv^2/r
1) We have;
F = 5,600 N
v = 20 m/s
r =?
m = 700 kg
Making r the subject of the formula;
r =mv^2/F
r = 700 × (20)^2/5,600
r = 50 m
2) F = mv^2/r
F = 900 × (5)^2/30
F = 750 N
3) Making r the subject of the formula;
r =mv^2/F
r = 800 × (40)^2/ 16,000
r = 80 m
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Which of the following is a characteristic of electromagnetic waves? (2 points)
Group of answer choices
They are all visible.
They have a purely particle nature.
They can travel with or without a medium.
They cannot travel very fast.
The characteristic of electromagnetic waves from the given options is: C) They can travel with or without a medium.
Electromagnetic waves are waves that consist of oscillating electric and magnetic fields. They can travel through a vacuum, such as empty space, where no medium is present. This is in contrast to mechanical waves, such as sound waves, which require a material medium to propagate.
The ability of electromagnetic waves to travel through a vacuum is a unique feature that sets them apart from other types of waves. It means that electromagnetic waves can propagate in the absence of particles or matter, allowing them to travel through space and reach us from distant celestial objects, such as stars and galaxies.
Furthermore, electromagnetic waves can also travel through a medium if one is present. For example, light waves can propagate through air, water, glass, and other transparent substances. In such cases, the electromagnetic waves interact with the atoms or molecules of the medium, causing them to absorb, transmit, or reflect the waves.
This ability of electromagnetic waves to travel with or without a medium is fundamental to many applications and technologies. It enables the transmission of radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays through various mediums or across vast distances in space. Option C
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Explain what you mean by 'flow or displacement work', and why it is called so.
Flow or displacement work refers to the work done by a system due to a volume change or displacement, typically in the context of a fluid or gas. Flow or displacement work is an important concept in thermodynamics because it is one of the ways in which energy can be transferred to or from a system.
The energy that is transported to or away from a system as a result of a force acting on it across a distance is referred to as work in thermodynamics. Work performed by a system as a result of a volume change or displacement is referred to as flow or displacement work, often in the context of a fluid or gas.
For instance, when a gas expands against a piston, it does so by displacing the gas volume and moving the piston outward. Similar to this, when a fluid flows through a pipe or a pump, it does so by applying force and shifting the fluid's volume.
The term "flow" or "displacement" refers to the displacement or flow of the substance that causes the work to be done in both situations.
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The absolute brightness of a star depends on its _____.
a. size and temperature
b. distance an temperature
c. color and temperature
d. distance and color
Option A. The absolute brightness of a star depends on its size and temperature
What is the absolute brightness of a star
The absolute brightness of a star is the amount of light it emits at a standard distance from Earth, regardless of how far away it actually is.
The size and temperature of a star are the primary factors that determine its absolute brightness. The size of the star affects the amount of light it emits, with larger stars emitting more light. The temperature of a star affects the color of the light it emits, with hotter stars emitting bluer light and cooler stars emitting redder light. Both of these factors play a significant role in determining a star's absolute brightness.
Distance and color can also affect a star's brightness, but in different ways. The distance of a star affects its apparent brightness as seen from Earth, but not its absolute brightness. The color of a star can provide information about its temperature and composition, but does not directly determine its absolute brightness.
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PLEASE HELP!! WILL MARK BRAINLYEST!!!!
ANSWER BOTH QUESTIONS PLEASE!!
The work done on an elevator that has a mass of 1000 kg and lifted 4 m in ten seconds is ______ Joules.
A. 39200
B. 4000
C. 408
The size motor is needed in the elevator is _____ Watts.
A. 40.8
B. 3920
C. 400
D. 392
Answer: 39,200 Joules
3920 watts
Explanation: Hope this helps
Answer: 1. A 2. B
-
- - -
Force=k((q1q1)/r^2)
The force that one electrically charged object exerts on other charged objects can be calculated using Coulomb's law.
You can see this law here written in equation form. The q's represent the two charges, and the r the distance between
the charges. The constant kis 9109
Using this information, calculate the electric force exerted by a +2 coulomb charge on another +2 coulomb charge,
when the charges are 25 meters apart
A)1.44*10^11
B)5.76*10^11
C)8 Newton’s
D)64 Newton’s
Answer:
transferred from one object to another. Charged objects can exert forces on other charged ... Electric charge can be measured using the law for the forces between charges
The electric force exerted by the +2 C on another +2 C when at a distance of 25 m is 5.76×10⁷ N
Coulomb's law equationF = Kq₁q₂ / r²
Where
F is the force of attraction K is the electrical constant q₁ and q₂ are two point charges r is the distance apart How to determine the force Charge 1 (q₁) = 2 CCharge 2 (q₂) = 2 CElectric constant (K) = 9×10⁹ Nm²/C²Distance apart (r) = 25 mForce (F) =?F = Kq₁q₂ / r²
F = (9×10⁹ × 2 × 2) / (25)²
F = 36×10⁹ / 625
F = 5.76×10⁷ N
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after an incandescent lamp is turned on, the temperature of its filament rapidly increases from room temperature to its operating temperature. as the temperature of the filament increases, what happens to the resistance of the filament and the current through the filament?
As the temperature of the filament in an incandescent lamp increases, the resistance of the filament and the current through the filament both change.
The resistance of the filament increases with an increase in temperature. This is due to the phenomenon known as the positive temperature coefficient of resistance, where the resistance of most materials, including the filament material in incandescent lamps, increases as the temperature rises. As the filament temperature increases, the atoms and electrons within the filament vibrate more vigorously, leading to a higher resistance to the flow of current. On the other hand, the current through the filament is determined by Ohm's Law, which states that current is inversely proportional to resistance for a given voltage. Since the resistance of the filament increases with temperature, the current through the filament decreases. The higher resistance restricts the flow of current, resulting in a lower current passing through the filament as the temperature increases. Therefore, as the temperature of the filament in an incandescent lamp increases, the resistance of the filament increases, and the current through the filament decreases.
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situation where middle polarizer is rotated. suppose the middle polarizer is rotated at 100 revolutions per minute. how many times per minute will you observe the light change from bright (max intensity) to dark (min intensity)? this effect, although not normally done with mechanical rotation, is the basis for making optical modulators that are used in high-speed digital communication systems. can you please explain? thanks
When middle polarizer is rotated rotated at 100 revolutions per minute we can take following steps into consideration-
Weight the 20gm of sugar and dissolve the whole of it in 60cc of distilled water and filter the solution by keeping the filter paper in a funnel in clean beaker. We can add distilled water to make the volume of solution equal to 100 cc. This 20% solution i.e. 0.20gm/cc.Now take 50 cc of 20% solution in measuring cylinder and add 50cc distilled water to form 10% solution. Pour it in beaker labeled as 10% solution.Now take 50cc of 10% solution and add 50cc of distilled water in it to form 5% solution.This effect although not normally done with mechanical rotation, is the basis for making optical modulators that are used in high-speed digital communication systems by inserting the thermometer in solution and note down the temperature.
Remove the caps of polarimeter glass tube and measure the length of tube.
Setting up of sodium source in front of slit will be placed at the principal focus of lens of polarimeter.
\(Rotation=\alpha =\frac{\beta }{y}\)
β is the mean angle of rotation and y means length of polarimeter tube in decimeter.
\(y=\frac{len. of polarimeter}{10}\)
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A uniformly charged disk of radius 35.0cm carries charge with a density of 7.90× 10⁻³ C / m² . Calculate the electric. field on the axis of the disk at (a) 5.00cm,
The electric field on the axis of the disk at a distance of 5.00 cm is approximately 8.947 N/C.
To calculate the electric field on the axis of a uniformly charged disk, we can use the formula for the electric field due to a charged disk at a point on its axis:
E = (σ / (2ε₀)) * (1 - (z / √(z² + R²))),
where E is the electric field, σ is the charge density of the disk, ε₀ is the permittivity of free space, z is the distance from the center of the disk along the axis, and R is the radius of the disk.
Given:
Charge density (σ) = 7.90×10⁻³ C / m²,
Radius (R) = 35.0 cm = 0.35 m,
The distance along the axis (z) = 5.00 cm = 0.05 m.
Using these values, we can calculate the electric field on the axis of the disk at a distance of 5.00 cm.
Substituting the values into the formula:
E = (σ / (2ε₀)) * (1 - (z / √(z² + R²))),
E = (7.90×10⁻³ C / m²) / (2 * (8.854×10⁻¹² C² / N*m²)) * (1 - (0.05 m / √((0.05 m)² + (0.35 m)²))).
Simplifying the equation:
E = (7.90×10⁻³ C / m²) / (2 * (8.854×10⁻¹² C² / N*m²)) * (1 - (0.05 m / √(0.0025 m² + 0.1225 m²))),
E ≈ 8.947 N/C.
Therefore, the electric field on the axis of the disk at a distance of 5.00 cm is approximately 8.947 N/C.
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The compound dinitrogen oxide is a gas at room temperature. The two elements found in a sample of this gas
The two elements found in a sample of compound dinitrogen oxide, which is a gas at room temperature are nitrogen and oxygen.
What is dinitrogen oxide?Dinitrogen oxide or nitrous oxide is commonly known as laughing gas,
Dinitrogen oxide is a chemical compound, an oxide of nitrogen with the formula N₂O.
At room temperature, this gas is colorless, non-flammable gas, and has a slightly sweet scent.
Dinitrogen oxide or Nitrous Oxide is also called laughing gas or happy gas due to its intoxicating effects when inhaled.
From the chemical formula of Dinitrogen oxide which is written as;
N₂O = two nitrogen atoms and on1 oxygen atom
The compound of Dinitrogen oxide is made of;
2 atoms of nitrogen and 1 atom of oxygen
Thus, the compound of Dinitrogen oxide which is a gas at room temperature is made of two element. These two elements contained by the gas sample are known as nitrogen and oxygen.
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Answer:
nitrogen and oxygen.
Explanation:
the reason is cause i got it right
A feather and a marble are released from a height of 10 m at the same time. Why will the marble reach the ground first
Answer:
air resistance slows the feather
Explanation:
in a radio telescope, the role that the mirror plays in visible-light telescopes is played by: a special kind of lens
Answer:
✔ ∅ e. a large metal dish (antenna)Explanation:
in a radio telescope, the role that the mirror plays in visible-light telescopes is played by:
✘ O a. a spectrometer
✘ O b. an interferometer
✘ O c. a special kind of lens
✘ O d. computer software
✔ ∅ e. a large metal dish (antenna)Have a Nice Best Day : )
20 points
Which of the following is true about the potential energy between charged particles. Choose the two that apply.
a
Potential energy increases as like charges get closer.
b
Potential energy increases as opposite charges get closer.
c
Potential energy remains the same between like charges as they move apart.
d
Potential energy increases as any charges move closer together.
e
Potential energy decreases as opposite charges get closer.
f
Potential energy decreases as like charges get closer together.
Answer:
(a) and (b)
Both will follow the rule
This is due to property of charges.
As in case of gravitational potential energy as it increases as height increases.
In case of electrical potential energy it will increase as charges comes close.
Explanation:
have a good day:))
Answer:
i beleive its A and B will both follow the rule
This is due to property of charges.
hope this helped
Explanation:
Which statement best defines the resistance of an electric circuit? (1 point) o It limits the amount of electrical energy that can pass through a circuit. 0 It is the measurement of the rate of electrical energy in a circuit. O It is the amount of electrical energy that is available in a circuit. O It describes how much electrical energy passes in a circuit.
Answer:
it limits the amount of electrical energy that can pass through a circuit
It's important to maintain muscle flexibility by stretching only after aerobic exercise.
Answer: Most aerobic and strength training programs cause your muscles to contract and tighten. So stretching after you exercise helps optimize the range of motion about your joints and boosts circulation.
Hope this helps!
A 2.0 c charge moves with a velocity of (2.0i+4.0j+6.0k)m/s and experiences a magnatic force of (0.4i-20j+12k)N. The x component of the magnatic field is equal to zero. Determine the y component of the magnatic field
Answer:
\(\vec{B}_{y}=6T\)
Explanation:
Here we can use the Lorentz force equation.
\(\vec{F}_{B}=q(\vec{v}\times \vec{B})\)
We know:
v is the velocity (2.0i+4.0j+6.0k) m/sF is the magnetic force (0.4i-20j+12k) NB is the magnetic force (ai+bj+ck) Tq is the charge 2 CSo we will have:
\( (0.4i-20j+12k)=2((2.0i+4.0j+6.0k) \times (ai+bj+ck))\)
Let's solve the cross product, knowing that x component of B is 0, it means a=0.
\( (0.4i-20j+12k)=2((2.0i+4.0j+6.0k) \times (0i+bj+ck))\)
\( (0.4i-20j+12k)=2((4c-6b)i-2cj+2bk)\)
Comparing the k component we have:
\(12=2b \)
\(b=6 \)
If we see b is the y-component of the magnetic field, therefore \(\vec{B}_{y}=6T\)
I hope it helps you!
-0.033 units
Explanation:
According to Lorentz force law, the magnetic force, F, on a moving charge, q, moving with a velocity, v, in a magnetic field, B, is given by;
F = q v x B ----------------(i)
Where;
F, v and B are vectors. Therefore, equation (i) represents a vector product of the velocity and magnetic field vectors.
From the question;
v = (2.0i + 4.0j + 6.0k)m/s
F = (0.4i - 20j + 12k)N
q = 2.0C
Let the magnetic field vector be given by;
B = ai + bj + ck ---------------------(*)
Where;
a, b and c are the magnitudes of the x, y and z components of the magnetic field.
Substitute the values of F, v, B and q into equation (i) as follows;
(0.4i - 20j + 12k) = 2.0(2.0i + 4.0j + 6.0k) x (ai + bj + ck)
Expanding the second bracket gives
(0.4i - 20j + 12k) = (4.0i + 8.0j + 12.0k) x (ai + bj + ck) ---------------(ii)
Solving the right hand side of equation (ii) which is the vector product gives;
| |
| i j k |
(0.4i - 20j + 12k) = | 4.0 8.0 12.0 |
| a b c |
| |
(0.4i - 20j + 12k) = (8.0c - 12.0b)i - (4.0c -12.0a)j + (4.0b - 8.0a)k ----(iii)
Comparing both sides of equation (iii) gives the following three equations;
0.4 = 8.0a - 12.0b --------------------(iv)
-20 = 4.0c - 12.0a ---------------------(v)
12 = 4.0b - 8.0a ----------------------(vi)
From the question, it is given that the x component of the magnetic field is equal to zero. Now, recall that from equation (*) above, the magnitude of the x-component of the magnetic field is given as a
Therefore;
a = 0
To get the y component, which is b, substitute the value of a = 0 into equation (iv) as follows;
0.4 = 8.0(0) - 12.0b
0.4 = 0 - 12.0b
0.4 = - 12.0b
Solve for b;
b = \(\frac{-0.4}{12.0}\) = -0.033
Therefore the y component of the magnetic field is -0.033 units
4. How much mass is required to exert a force of 25 Newtons, accelerating at 5 m/s?
Zinc sulfide can be made by heating a mixture of zinc and sulfur. The properties of each substance in this process are shown in the table.
Substance Physical
Melting Solubility
State
Point (in water, Color
(°C) pH = 7)
zinc
solid 419.5 insoluble Silver
sulfur
solid
115.2 insoluble yellow
zinc sulfide
solid
1,830.0 insoluble white
Source: American Elements,
<
Based on the information in the table, select the correct answer from each drop-down menu to complete the paragraph.
When a mixture of zinc and sulfur is heated, a chemical reaction
V
This is supported by the data in the table showing that
During
process, the zinc and sulfur atoms
Answer:
thats alot
Explanation:
Zinc sulfide is a solid that is white to yellow in color and is frequently used as a pigment.
What is zinc sulfhide?Zinc sulfide can be transparent in its thick synthetic form, serving as a window for both visual and infrared optics. The density of ZnS is 4.090 g/cm3. It dissolves more readily in acids than in water. ZnS boils at 1,185 °C.
When zinc oxide and hydrogen sulfide react, zinc sulfide and water are formed as a byproduct. Another way to make the compound is by heating a sodium thiosulfate and zinc sulfate solution.
Making an equimolar mixture of zinc and sulfur powders and lighting it up is a third method. Impure ZnS and a vivid green flame are the results. By decanting, impure ZnS can be made pure.
Therefore, Zinc sulfide is a solid that is white to yellow in color and is frequently used as a pigment.
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Calculate the average atomic mass of caarbon given the following information: Carbon-12 12.000 amu 98.89%
Carbon-12 13.003 amu 1.11%
Answer:
12.01
Explanation:
Given parameters:
Abundance of C-12 = 98.89%
mass of isotope = 12amu
Abundance of C - 12 = 1.11%
mass of isotope = 13.003
Unknown:
Average atomic mass of carbon = ?
Solution:
The average atomic mass ;
R.A.M = (mass of isotope x abundance of isotope)-12 + (mass of isotope x abundance of isotope)- 13
Insert the parameters and solve;
R.A.M =( 12 x 98.89%) + (1.11% x 13.003)
R.A.M = 11.87 + 0.14 = 12.01
A force F~ = Fx ˆı + Fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where Fx = 10 N, Fy = −1 N, sx = 4 m, and
sy = 1 m.
Find the work done by the force on the
particle.
Answer in units of J.
Find the angle between F~ and ~s.
Answer in units of ◦
.
The work done by the force on the particle is 39J and the angle between F and s is 19.7 degree.
What is Force ?An item with mass is pulled or pushed which alters its velocity. A material that has the ability to change a body's rest or motion state is referred to as an external force. It possesses a magnitude and a direction.
Briefing:Force F = (Fx, Fy)
Displacement S = (Sx,Sy)
Fx=10N
Fy=-1N
Sx=4m
Sy=1m
F=(10,-1)N and S=(4,1)m
Work done is calculated by taking dot product of force and displacement vector:
W=F·S
W=10×4 + (-1)×1
W=40+(-1)=39J
W = 39 J
To find angle between F and s:
\(|F|=\sqrt{10^2+(-1)^2}\)
|F| = √101
|S| = √(4² + 1²)
|S| = √17
W = |F| |S| cosθ
39 = √101 √17 cosθ
θ = 19.7.
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Examples
A Spiral Spring is compressed by 0.0am. Calculate the
energy stored in
ed in the Spring
Spring, ift
ng, if the force Constant is toor
solution
A spiral spring is compressed by 0.5 cm. The energy stored in the spring can be calculated using the formula \(E=1/2*k*x^2\). Given that the force constant is 200 N/m, we can calculate the energy stored in the spring to be 0.00025 J.
A spiral spring is compressed by 0.5 cm. Calculate the energy stored in the spring if the force constant is 200 N/m.The energy stored in the spring can be calculated using the formula: \(E=1/2*k*x^2\), where E is the energy stored, k is the force constant, and x is the displacement of the spring from its equilibrium position. Given that the spring is compressed by 0.5 cm, which is 0.005 m, and the force constant is 200 N/m, we can calculate the energy stored in the spring as follows: \(E = 1/2 * 200 N/m * (0.005 m)^2\) E = 0.00025 JTherefore, the energy stored in the spring is 0.00025 J. This means that when the spring is released, it will convert this energy into kinetic energy as it returns to its equilibrium position.For more questions on spring
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One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?
Explanation:
100 m / (1.20 m) = 83.3
100 m / (0.75 m) = 133.3
Rounded up, the first sprinter takes 84 steps, and the second sprinter takes 134 steps.
The fact that some well-known studies have been repeated without finding results consistent with those in the initial report describes a(n) ________ that is currently affecting research in psychology and other fields.
Answer:
Replication Crisis
Explanation:
Replication crisis in psychology- It refers to the concerns about credibility of finding the results in psychological science.
In the atmosphere, under the effect of ultraviolet rays, oxygen molecules combine to form ozone molecules, and ozone molecules also photodissociate to form oxygen molecules. which of the following would be observed if this reaction is in dynamic equilibrium? a/ the concentration of oxygen will increase. b. the concentration of ozone will decrease. c. the rates of the forward and reverse reactions will increase. d. the rates of the forward and reverse reactions will remain the same.
The forward and reverse reaction rates will remain the same, hence option D is the right response. Ozone molecules are created in the atmosphere by the combination of oxygen molecules and UV radiation.
When the reaction should be in a state of dynamic equilibrium, both the forward and reverse reaction rates should be the same. If the reaction is in dynamic equilibrium, the rates of the forward and reverse reactions will stay the same. Chemical processes take place everywhere around us, from the food our bodies metabolise to how the sunlight we receive is produced. It's crucial to understand physical and chemical changes before starting with chemical reactions.
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