You will have to wait for 5.92 seconds at the finish line for your friend to finish the dash.
The total distance of the dash is d = 200 meters.
Friends run with an average speed of v₁ = 2.5 m/s.
Your average speed is v₂ = 2.7 m/s.
Now, the speed of an object or particle is defined as the speed of the object per unit time.
Therefore,
Speed = distance / time
Now, friend's times will be:
v₁ = d / t₁
t₁ = d / v₁
t₁ = ( 200 m) / (2.5 m/s)
t₁ = 80 seconds
Your time to finish the dash is:
v₂ = d / t₂
t₂ = d / v₂
t₂ = ( 200 m) / ( 2.7 m/s)
t₂ = 74.07 seconds
The time you have to wait for your friend at the finish line will be:
t = t₁ - t₂
t = 80 - 74.07
t = 5.92 seconds.
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Which choice is not an example of a molecule? O3 NCl3 F H2O2
Answer:
The answer is F
Explanation:
F stands for Fluorine, which is an element and consists of one atom.
Answer:
f
Explanation:
i took quiz
State that there are positive and negative charges.
Yes there are
Explanation:
Both kind of charges exist. (e≈1.60 x 10^-19 C)
Charge is the intrinsic property of a body, that allows it to have either of two kinds of itself.
Positive elementary charge is
\({x}^{1 +} \)
And negative is
\( {x}^{1 -} \)
There are two types of electric charges in nature, they are positive and negative charges.
What is meant by charge ?
Charge is defined as the intrinsic property of matter, by which it experiences a force, when placed in an electromagnetic field.
Here,
In nature, there are two type of electric charges. They are positive charge and negative charge.
The two charges exists in the nature, because, the positive charge attracts the negative charge.
The earth is actually neutral in nature. If a positive charged body is connected to the earth, the positive charge will be drained to the ground. This can be clearly described that, when the surface of earth becomes positively charged, there occurs a potential difference between the surface and the ground.
As a result, the electrons flows from the ground to the surface. The negative charge and positive charges cancels each other and thus neutralizing the surface.
The same happens when a negative charged body is connected to the surface of earth, the charge will be neutralized by the positive charge.
Hence,
There are two types of electric charges in nature, they are positive and negative charges.
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Define the term ‘lower fixed point’.
Answer:
The lower fixed point, or ice point, is the temperature of pure melting ice at normal atmospheric pressure. Hopes this helps.
Explanation:
What is the velocity of a plane that took 2 hours to travel 1000 miles north?
A. 500 miles per hour North
B. 500 miles
C. 500 miles North
D. 500 miles per hour
A cross country runner leaves school for a 10 mile run. They end their run at a Dairy Queen one mile from school. What is the total distance they ran? What is their displacement?
The total distance the runner ran is 10 miles. This is the sum of the distances covered during the run, regardless of the direction or changes in direction.
The displacement of the runner is the straight-line distance from the starting point to the ending point, regardless of the actual path taken. In this case, the displacement is 1 mile, as the runner ended their run one mile from the starting point at Dairy Queen. Displacement takes into account the direction and magnitude of the movement. The runner in this scenario is a cross country runner who embarked on a 10-mile run. They started their run from school and concluded their run at a Dairy Queen, which is located one mile away from the school. The runner's purpose was to engage in a long-distance running activity, likely for exercise, training, or personal enjoyment.
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How do seatbelts relate to the first law of motion.
Answer: Seatbelts relate to Newton's first law of motion because in the case of a car accident, someone in the car would continue forward until they hit somethng else. A seat belt will help prevent this because it will push back on you (action-reaction force).
Explanation:
Please answer!
Ocean waves are hitting the seashore at a rate of 15 Hz. The distance between two successive crests is 3 m. Calculate the speed of the ocean waves. (note: crest/s = 1 Hz)
\( \sf \nu \: = \lambda \times \upsilon\)
λ = Wavelength [Given = 3 m]υ = Frequency [Given = 15 Hz]ν = Speed [To find]\( \sf \nu = 3 \times 15\)
\( \sf \nu \: = 45 \: m/s\)
➪The speed of ocean waves is 45 m/s...~
what is 2m+n =k for M
During which interval is the cart accelerating?
the barriers if the interval are Aand B the of displacement goes up.
from B to C it just stays the same, then from C to D no Movement, and from time D to E movement, but steady
A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $0.80, and each Type B souvenir will result in a profit of $1.60. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine 1 and 3 minutes on Machine II. There are 2 hours available on Machine I and 5 hours available on Machine 11. (a) For a meaningful solution, the time available on Machine II must lie between 90 X and x min. (Enter your answers from smallest to largest.) (b) If the time available on Machine II is changed from 300 min to (300 + k) min, with no change in the maximum (150 - A) capacity for Machine 1, then Ace Novelty's profit is maximized by producing Type A souvenirs 540 5 and 2(223+ *). 3 Type B souvenirs, where -225 1x ** $ 150 X X (c) Find the shadow price for Resource 2 (associated with constraint 2). (Round your answer to the nearest cent.)
The time available on Machine II must lie between 1 minute and 3 minutes. The shadow price for Resource 2 (associated with constraint 2) is $3 per minute.
(a) To determine the range of available time on Machine II, we need to consider the constraints provided. The time available on Machine II must be between the time required for Type A souvenirs and the time required for Type B souvenirs.
Time required for Type A souvenir on Machine II: 1 minute
Time required for Type B souvenir on Machine II: 3 minutes
Therefore, the time available on Machine II must lie between 1 minute and 3 minutes.
The meaningful solution for the available time on Machine II is 1 min ≤ Machine II ≤ 3 min.
(b) To maximize the profit, we need to determine the optimal production quantities for Type A and Type B souvenirs given a change in the available time on Machine II.
Let's assume the change in available time on Machine II is represented by k.
To maximize the profit, we need to find the production quantities that maximize the total profit. Let's denote the production quantity for Type A souvenirs as x and the production quantity for Type B souvenirs as y.
The objective function for the profit can be expressed as:
Profit = 0.80x + 1.60y
Subject to the following constraints:
2x + y ≤ 120 (Machine I constraint)
x + 3y ≤ (300 + k) (Machine II constraint)
Using linear programming techniques, the optimal solution will depend on the value of k.
The statement "Ace Novelty's profit is maximized by producing Type A souvenirs 540 5 and 2(223+ *). 3 Type B souvenirs, where -225 1x ** $ 150 X X" seems to be incomplete and unclear. The specific production quantities and profit cannot be determined without knowing the value of k.
(c) To find the shadow price for Resource 2 (associated with constraint 2), we can perform sensitivity analysis.
The shadow price represents the change in the objective function's value per unit increase in the availability of Resource 2 (Machine II in this case). We can determine it by evaluating the sensitivity of the objective function to changes in the constraint.
Since the constraint is x + 3y ≤ (300 + k), the shadow price associated with Resource 2 is the coefficient of the Machine II term, which is 3.
Therefore, the shadow price for Resource 2 (associated with constraint 2) is $3 per minute.
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Given: Rocket motor equation: " Ve + (Pe – Pa) AC Rocket weight (no propellant): 300 kg Propellant weight: 800 kg Acceleration at burnout: 10 18 G ur. First things first – the contribution of the pressure differential, (Pe - Pa)Ae is typically very small. Its contribution will be ignored for this problem. Compute the Isp required to develop a rocket with a burnout velocity of 1000 m/s. Compute the exit velocity (Ve or Vj) required for this rocket. Plot the rocket acceleration (in terms of G) and rocket weight as a function of time. What is the burn time of the rocket? Finally, plot the speed of the rocket, assuming a flight path angle of 45 degrees assuming no gravity. Plot the speed of the rocket considering gravity.
To develop a rocket with a burnout velocity of 1000 m/s, the specific impulse (Isp) required needs to be calculated. The exit velocity (Ve or Vj) required for the rocket can be determined using the rocket motor equation. The burn time of the rocket can be found by considering the rocket's weight and acceleration over time.
Additionally, the speed of the rocket, assuming a flight path angle of 45 degrees and considering gravity, can be plotted.
1. Calculating Required Isp:
To calculate the required Isp, we use the rocket motor equation: Ve + (Pe - Pa)AC = (m0 / mf) * g0 * Isp, where Ve is the exit velocity, Pe is the pressure at the exit, Pa is the ambient pressure, AC is the throat cross-sectional area, m0 is the initial total mass (rocket weight + propellant weight), mf is the final total mass (rocket weight), g0 is the acceleration due to gravity, and Isp is the specific impulse.
Since the contribution of the pressure differential is ignored, the equation simplifies to Ve = (m0 / mf) * g0 * Isp.
Given the burnout velocity of 1000 m/s, we can substitute the values and solve for Isp.
2. Determining Exit Velocity:
Using the rocket motor equation and the burnout velocity, we can solve for the exit velocity (Ve). This value represents the speed at which exhaust gases leave the rocket nozzle.
3. Plotting Rocket Acceleration and Weight:
To plot the rocket acceleration as a function of time, we need to consider the mass of the rocket over time. Initially, the rocket weight is the sum of the rocket weight (300 kg) and propellant weight (800 kg). As the propellant burns, the rocket weight decreases, resulting in a changing acceleration.
4. Calculating Burn Time:
The burn time of the rocket can be determined by dividing the propellant weight (800 kg) by the propellant consumption rate, which is the mass flow rate of the propellant.
5. Plotting Rocket Speed:
Assuming a flight path angle of 45 degrees and neglecting gravity, the rocket's speed can be plotted over time. This plot represents the rocket's horizontal velocity.
6. Considering Gravity:
To plot the rocket's speed while considering gravity, we need to account for the vertical acceleration due to gravity. By considering the rocket's horizontal and vertical velocities, we can determine the overall speed of the rocket.
By following these steps, the required Isp, exit velocity, burn time, and velocity plots can be determined for the given rocket scenario.
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Please help me this is worth allot
The wheel of a certain bus are 2m apart and the bus falls over when it is tilted sideways at 45degree angle with vertical. What is the tension in each rope
Answer:
F = m g / 4, F = 12250 N
Explanation:
For this exercise we must use the rotational equilibrium relation
∑τ = 0
let's set a reference system on the wheel where the bus is turning and that the anti-clockwise rotations have been positive
-2F x_string + W x_bus = 0
x_bus =\frac{l}{2} cos 45
x_string = l cos 45
where F is the force on each wheel and W the weight of the bus ,, we assume that the center of mass is in the middle and x_bus is the perpendicular distance from the center of mass to the turning point.
2F l cos 45 = W \(\frac{l}{2}\) cos 45
F = m g / 4
to finish the calculation we must assume a mass for the bus m = 5000 kg
F = 5000 9.8 / 4
F = 12250 N
True or False: In the absence of energy losses due to friction, doubling the height of the hill doubles the maximum acceleration delivered by the spring.
True, In the absence of energy losses due to friction, doubling the height of the hill doubles the maximum acceleration delivered by the spring.
When there are no energy losses due to friction, the potential energy gained by increasing the height of the hill will be converted to kinetic energy. When the height of the hill is doubled, the potential energy gained also doubles. As a result, the kinetic energy increases by a factor of 2, and the maximum acceleration delivered by the spring will also double.
What is friction?
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.
Coefficient of friction, ratio of the frictional force resisting the motion of two surfaces in contact to the normal force pressing the two surfaces together.
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a conductor consists of a circular loop of radius r and two long, straight sections. the wire lies in the plane of the paper and carries a current i. a) what is the direction of the magnetic field at the center of the loop? b) find an expression for the magnitude of the magnetic field at the center of the loop. 4. a long, straight wire carries a current i. a right-angle bend is made in the middle of the wire. the bend forms an arc of a circle of radius r. determine the magnetic field at point p, the center of the arc. 5. two parallel wires are separated by 6.00 cm, each carrying 3.00 a of current in the same direction. a) what is the magnitude of the force per unit length between the wires? b) is the force attractive or repulsive? 6. two parallel wires separated by 4.00 cm repel each other with a force per unit length of 2.00x104 n/m. the current in one wire is 5.00 a. a) find the current in the other wire. b) are the currents in the same direction or in opposite directions? c) what would happen if the direction of one current were reversed and doubled?
1. The direction of the magnetic field at the center of the loop is perpendicular to the plane of the loop and follows the right-hand rule.
The right-hand rule states that if you curl the fingers of your right hand in the direction of the current flow in a loop, your thumb will point in the direction of the magnetic field at the center of the loop. The magnetic field lines are circular and perpendicular to the plane of the loop.
2. The expression for the magnitude of the magnetic field at the center of the arc can be calculated using the formula for the magnetic field due to a circular loop of wire. The expression is given by: B = (μ₀ * I) / (2 * r), where B is the magnetic field, μ₀ is the permeability of free space, I is the current in the loop, and r is the radius of the arc.
The magnetic field at the center of the arc formed by the right-angle bend in the wire can be calculated using the formula for the magnetic field due to a circular loop of wire. The magnetic field strength is directly proportional to the current in the loop (I) and inversely proportional to the radius of the arc (r). The permeability of free space (μ₀) is a constant value. By plugging in the values of current and radius, the expression for the magnitude of the magnetic field at the center of the arc can be determined.
3. The force per unit length between two parallel wires carrying current can be calculated using the formula: F/L = (μ₀ * I₁ * I₂) / (2 * π * d), where F/L is the force per unit length, μ₀ is the permeability of free space, I₁ and I₂ are the currents in the wires, and d is the distance between the wires.
The force per unit length between two parallel wires carrying current can be calculated using the formula above. The force is directly proportional to the product of the currents in the wires (I₁ and I₂) and inversely proportional to the distance between the wires (d). The permeability of free space (μ₀) is a constant value.
4. The force between two parallel wires depends on the direction of the currents. If the currents are in the same direction, the force is repulsive, and if the currents are in opposite directions, the force is attractive.
The direction of the currents in the two parallel wires determines the direction of the magnetic fields around the wires. When the currents flow in the same direction, the magnetic fields around the wires interact and result in a repulsive force between the wires. When the currents flow in opposite directions, the magnetic fields interact differently and result in an attractive force between the wires.
5. To find the current in the other wire when two parallel wires separated by a distance carry a force per unit length, the formula can be rearranged to solve for the current in the second wire, I₂ = (F/L) * (2 * π * d) / (μ₀ * I₁), where I₂ is the current in the second wire, F/L is the force per unit length, d is the distance between the wires, μ₀ is the permeability of free space, and I₁ is the current in the first wire.
By rearranging the formula for the force per unit length between two parallel wires, the current in the second wire (I₂) can be calculated. The force per unit length (F/L), the distance between the wires (d), and the current in the first wire (I₁) are known quantities, and the permeability of free space (μ₀) is a constant value.
6. If the direction of one current in the two parallel
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a standby generator is connected to fifteen 40w and a musical 600w amplifying system. how many energy is used up if the generator run 6hours
pls someone answer the question fast
Answer:
1200 watts
-hope this helps
If ammeters and voltmeters are not to significantly alter the quantities they are measuring,.
If ammeters and voltmeters are not to significantly alter the quantities they are measuring, then they must have a high input impedance. This means that they do not draw significant current or cause voltage drops in the circuit they are measuring.
Ammeters must also have a low resistance to minimize the voltage drop across the ammeter, while voltmeters must have a high resistance to limit the current flow through the meter. Overall, both instruments must be carefully designed and calibrated to ensure accurate measurements without interfering with the circuit being measured.
To ensure ammeters and voltmeters do not significantly alter the quantities they are measuring, follow these guidelines:
1. Ammeters: Ammeters are used to measure the current in a circuit. They should be connected in series with the component or section of the circuit whose current you want to measure. To minimize their impact on the circuit, ammeters should have a very low internal resistance.
2. Voltmeters: Voltmeters are used to measure the voltage (potential difference) across a component or section of a circuit. They should be connected in parallel with the component or section whose voltage you want to measure. To minimize their impact on the circuit, voltmeters should have a very high internal resistance.
By connecting ammeters and voltmeters in the appropriate manner and ensuring they have the correct internal resistance, you can prevent them from significantly altering the quantities they are measuring in a circuit.
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Is it possible to have an average velocity of 0 for some motion but an average speed of 120 km/h for that motion? Provide a quantitative example
Yes, it is possible to have an average velocity of 0 for some motion but an average speed of 120 km/h for that motion. This can happen when the object changes direction during its motion.
A quantitative exampleLet's say a car travels 240 km in a straight line, driving 120 km/h in one direction for 2 hours, and then turning around and driving 120 km/h in the opposite direction for another 2 hours.
The car would end up back where it started, so the average velocity for the entire motion is 0 (since the displacement is 0).
However, the total distance traveled is 480 km, and the total time taken is 4 hours, so the average speed is 480 km / 4 hours = 120 km/h.
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A mass, M, is at rest on a frictionless surface, connected to an ideal horizontal spring that is unstretched. A person extends the spring 30 cm from equilibrium and holds it at this location by applying a 10 N force. The spring is brought back to equilibrium and the mass connected to it is now doubled to 2M. If the spring is extended back 30 cm from equilibrium, what is the necessary force applied by the person to hold the mass stationary there
Answer:
The necessary force applied by the person to hold the mass stationary there is 10 N
Explanation:
We are told that this person extends the spring 30 cm from equilibrium and holds it at this location by applying a 10 N force.
Thus, based on Hooke's law formula which is F = k Δx, we can say that the mass attached to the spring does not change the spring constant. Thus, the
same resistive spring force will still be in place and in turn, the same stretching force of 10N would still be required.
Thus;
The necessary force applied by the person to hold the mass stationary there is 10 N
In a friendly soccer game, you hit a ball with a speed of 13 m/s at an angle of 24 degrees above the
horizontal. (A) How long does it take for the ball to reach the goal if it is 4.2 meters away? (B) How high is the
ball when it reaches the goal?
The time of flight of the ball is 1.1 s and the maximum height attained is 1.42 m.
What is the time of flight?The time of flight refers to the time that it takes for the ball to remain in air. The time of flight is given by;
T = 2usinθ/g
T = 2 * 13 m/s (sin24)/9.8 m/s^2
T = 1.1 s
The height that it reaches is obtained from;
H = v^2sin^2θ/2g
H = 27.96/19.6
H = 1.42 m
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if a wave has a wavelength of 2m and a frequency of 500 hz, what is its speed
Answer:
1000
Explanation:
unlawful speed resulting in a crash will result in __ points being added.
Unlawful speed resulting in a crash can result in various points being added, depending on the severity of the offense and the state's specific laws.
The number of points that will be added to a driver's license for unlawful speed resulting in a crash will vary depending on the specific laws of the state in which the offense occurred. In general, a traffic violation resulting in an accident is considered more serious than a simple speeding ticket and can result in higher fines and more points being added to the driver's license. The number of points added may also depend on the severity of the crash, with more serious accidents resulting in more points. In some cases, the driver may also face criminal charges, such as reckless driving or vehicular manslaughter, which can result in more severe penalties such as fines, jail time, or license revocation. It is important for drivers to obey speed limits and other traffic laws to avoid accidents and potential legal consequences.
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A negative charge of -3.0 x 10^-5 C is placed 0.35 m from a positive charge of 9.0 x 10^-5 C. What is the force between the two charges
Answer:
the force between the two charges is 198.37 N
Explanation:
Given;
charge of the first particle, Q₁ = -3 x 10⁻⁵ C
charge of the second particle, Q₂ = 9.0 x 10⁻⁵ C
distance between the two charges, r = 0.35 m
The force between the two charges is calculated from Coulomb's law;
\(F = \frac{kQ_1Q_2}{r^2}\)
where k is Coulomb's constant = 9 x 10⁹ Nm²/C²
\(F = \frac{(9\times 10^9)(3.0\times 10^{-5})(9\times10^{-5} )}{0.35^2} \\\\F = 198.37 \ N\)
Therefore, the force between the two charges is 198.37 N
It is a force that acts in a direction opposite to the motion of the moving object
The force that acts in a direction opposite to the motion of the moving object is called drag or air resistance.
Drag or air resistance is a force that acts on a moving object in a fluid medium, such as air or water, opposing its motion. It acts in a direction opposite to the motion of the object and is caused by the friction and pressure differences between the fluid and the object's surface. Drag force increases with the velocity of the object and its surface area, and it's usually modeled as a quadratic function of the velocity. For example, when a car is moving, the air resistance acts in the opposite direction of the car's motion, slowing it down. The drag force is not the only force that acts on the object, but it's one of the most significant forces acting on it, especially for objects moving at high speeds.
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A flow chart showing step by step how the body responds to a cold using the words B cells, helper T cells, macrophages, mucus, lymph, cytokines, receptor proteins, antibodies, memory cells and plasma cells
The body's response to a cold involves various immune cells and processes. Here is a simplified flow chart depicting the step-by-step response:
Initial exposure to a cold virus leads to its entry into the body through the respiratory system. The virus infects the cells lining the respiratory tract, triggering a response from macrophages, which are immune cells that engulf and destroy foreign particles.Macrophages present viral antigens (molecular markers) on their surface and release cytokines, signaling molecules that activate other immune cells.Helper T cells recognize the viral antigens presented by macrophages through their receptor proteins, and they become activated.Activated helper T cells stimulate B cells, another type of immune cell, to produce antibodies specific to the cold virus.B cells differentiate into plasma cells, which secrete large quantities of antibodies into the bloodstream.Antibodies circulate in the body and bind to the cold virus, neutralizing its ability to infect cells.Memory B cells are also generated during this process. These cells "remember" the specific cold virus, enabling a faster and stronger immune response in case of future infections.The antibodies help to remove the virus from the body by marking it for destruction by other immune cells, such as macrophages and natural killer cells. Mucus production increases in the respiratory tract, trapping the cold virus and facilitating its removal from the body. Lymph, a clear fluid containing immune cells and antibodies, carries away the virus and other debris from the infection site.This flow chart demonstrates the coordinated response of B cells, helper T cells, macrophages, mucus production, lymph, cytokines, receptor proteins, antibodies, memory cells, and plasma cells in combating a cold virus and eventually eliminating it from the body.
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at a certain altitude above the earth's surface, the electric field has a magnitude of 108 v/m. how much energy is stored in 1.00 m3 of air due to this field?
108kg energy is stored in 1.00 m3 of air due to this field.
How is energy density calculated?
To = [M0 L3 T0]-1 [M1 L-1 T-2] [M1 L2 T-2] [M0 L2 T-2] As a result, the energy density is represented in dimensions as [M1 L-1 T-2].
The quantity of energy held between the plates of a parallel-plate capacitor is given by the formula UC=uE(Ad)=120E2Ad=120V2d2Ad=12V20Ad=12V2C, which is the energy density times the volume between the plates.
We will use small u to represent the quantity known as energy density, which is straightforward to define. It is described as the amount of energy per volume that the capacitor's electric fields can hold. It is equal to the volume of the area between the capacitor's plates divided by u sub E.
In this case-
108 * 1.00 = 108.
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A 5 kg mass compresses a horizontal spring by .06 meters. The spring has a spring constant of 2 N/m. If the surface is frictionless, find the velocity of the mass when the spring is released.
Answer:
Explanation:
The frictionless surface implies that the speed of the spring is at a max. When the speed of the spring is at its max, the potential energy in the spring is 0. Use the equation for the Total Energy in a Spring/Mass System:
KE + PE = \(\frac{1}{2}kA^2\) where KE is the Kinetic Energy available to the spring, PE is the potential energy available to the spring, and the sum of those is equal to one-half times the spring constant, k, times the amplitude of the spring's movement away from the equilibrium position. Sometimes this amplitude is the same as the displacement of the spring. This can be tricky. But since we are only given one value for the distance, we are going to use it as an amplitude. Keeping in mind that the PE is 0 when KE is at its max, then the equation becomes
KE + 0 = \(\frac{1}{2}kA^2\) or to put it simpler terms:
KE = \(\frac{1}{2}kA^2\) We need to find the value for KE before we can fully solve the problem we are being tasked with.
Filling in using the info given:
\(KE=\frac{1}{2}(2.0)(.06)^2\) Notice I added another place of significance to the 2 because 1 simply isn't enough and the physics teacher in me can't handle that. Simplifying a bit:
\(KE=(.06)^2\) because the k = 2 cancels out the 2 in the denominator of the 1/2. So
KE = 3.6 × \(10^{-3\)
Now plug that in for KE and solve for v:
KE = \(\frac{1}{2}mv^2\):
\(3.6*10^{-3}=\frac{1}{2}(5.0)v^2\) and
\(v=\sqrt{\frac{2(3.6*10^{-3})}{5.0} }\) gives us a velocity of
v= \(3.8*10^{-2\)
A 5 kg block is being pushed horizontally across a level surface at a constant velocity. What is the magnitude of the Normal force acting on the block?
Hint: strength of gravity is 10 N/kg
Answer:
50 N.
Explanation:
On top of a horizontal surface, the normal force acting on an object is equivalent to the force of gravity acting on the object. That is:
\(\displaystyle \begin{aligned} F_N = F_g & = ma \\ & = mg\end{aligned}\)
The mass of the block is 5 kg and the given force due to gravity is 10 N/kg. Substitute and evaluate:
\(\displaystyle F_N = F_g = (5\text{ kg})(10 \text{ N/kg}) = 50 \text{ N}\)
In conclusion, the normal force acting on the block is 50 N.
3. Why did Mendeleev have problems arranging the
elements Te and I?
Apply Newton’s second law to calculate the frictional force needed to hold a 15 g pen in your fingers and keep it from falling
Answer:
0.1962N.
Explanation:
Weight is a force, so we use newtons second law which states F=ma. So the weight of a watermelon on earth is 2kg x 9.81m/s², which is 19.62N (newtons). On the moon it weighs 2 x 1.63 which is 3.26N.
The weight of the pen is 0.02 x 9.81, which is 0.1962N. If the pen is not to fall the frictional force needs to be equal to this force,
so the answer is 0.1962N.
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