a 0.296 kg mass suspended from a spring oscillates with a period of 1.50 s. how much mass must be added to change the period to 2.45 s?
Answers
To change the period from 1.50 s to 2.45 s, the amount of mass need to be added is 0.847 kg.
To find how much mass must be added to change the period of oscillation, we can use the formula:
T = 2π * √(m / k)
Where:
T is the period of oscillation
π is the mathematical constant pi (approximately 3.14159)
m is the mass of the object
k is the spring constant
In this case, the initial period is T₁ = 1.50 s and the final period is T₂ = 2.45 s. Let's denote the initial mass as m₁ and the additional mass as Δm.
From the formula, we have:
T₁ = 2π * √(m₁ / k)
k = (4π² * m₁) / T₁²
T₂ = 2π * √((m₁ + Δm) / k)
Substituting the expression for k, we get:
T₂ = 2π * √((m₁ + Δm) / ((4π² * m₁) / T₁²))
T₂ = T₁ * √((m₁ + Δm) / (4m₁))
(Δm) / (4m₁) = (T₂ / T₁)² - 1
Δm = (4m₁) * ((T₂ / T₁)² - 1)
Plugging in the values, we have:
m₁ = 0.296 kg
T₁ = 1.50 s
T₂ = 2.45 s
Calculating Δm:
Δm = (4 * 0.296) * ((2.45 / 1.50)² - 1) ≈ 0.847 kg
Therefore, approximately 0.847 kg of additional mass must be added to the system to change the period from 1.50 s to 2.45 s.
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Related Questions
A ball is dropped from height of 20m at the same instant and the ball is thrown up from the ground with speed 20m/s when and where will ball meet
Answers
s = ut + 1/2 gt^2
s = 0 + 1/2 (-10) 1^2
s = - 5 m from starting point
After 1 second, the thrown ball has risen:
s = ut + 1/2 gt^2
s = 20 (1) + 1/2 (-10) 1^2
s = 20 -5 m
s = + 15 m from starting point
The two balls meet one second after release and meet at a point 15 meters above ground.
A plane flying into a headwind travels 2000 miles in 5 hours. The return flight along the same route with a tailwind takes 4 hours. Find the wind speed and the plane's speed.
Answers
The plane's speed is 450 miles per hour, and the wind speed is 50 miles per hour. This is determined by solving the equations derived from the distances and times of the flight with and against the wind.
Let's assume the speed of the plane (without considering the wind) is P, and the speed of the wind is W.
When flying into a headwind, the effective speed of the plane is reduced by the wind speed. So the equation for the outbound flight is:
P - W = 2000 miles / 5 hours
P - W = 400 miles per hour (mph) ---(Equation 1)
When flying with a tailwind, the effective speed of the plane is increased by the wind speed. So the equation for the return flight is:
P + W = 2000 miles / 4 hours
P + W = 500 miles per hour (mph) ---(Equation 2)
Now we have a system of two equations (Equation 1 and Equation 2) with two variables (P and W). We can solve this system to find the values of P and W.
Adding Equation 1 and Equation 2 together, we eliminate the variable W:
(P - W) + (P + W) = 400 mph + 500 mph
2P = 900 mph
P = 450 mph
Substituting the value of P back into Equation 1 or Equation 2, we can solve for W:
450 mph - W = 400 mph
W = 450 mph - 400 mph
W = 50 mph
Therefore, the plane's speed is 450 mph and the wind speed is 50 mph.
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How might you estimate the minimum temperature?
a.
Find the temperature that lines exactly up with the two ends of the red line
c.
Use the number that lines up with the top part of the blue line on the left of the thermometer
b.
Use the number that lines up with the bottom part of the blue line on the left of the thermometer
d.
Find the midpoint of the redline
Answers
Answer:
d. find the midpoint of the redline
What is the equation for velocity in free fall?
Answers
The equation for velocity in free fall is v = gt, where v is the velocity, g is the acceleration due to gravity, and t is the time.
Free fall refers to the motion of an object falling under the sole influence of gravity. The acceleration of an object in free fall is called the acceleration due to gravity and is given the symbol g. The acceleration due to gravity is a constant value of approximately 9.8 m/s^2 on the surface of the Earth.
In the equation for velocity in free fall, v is the final velocity of the object at time t, g is the acceleration due to gravity, and t is the time in seconds that the object has been falling. The equation states that the velocity of an object in free fall at any given time is equal to the acceleration due to gravity multiplied by the time that the object has been falling.
For example, if an object is dropped from a height of 100 meters and it takes 2 seconds to reach the ground, the velocity of the object just before it hits the ground can be calculated using the equation v = gt. Using the acceleration due to gravity of 9.8 m/s^2, the final velocity of the object can be calculated as: v = 9.8 m/s^2 x 2 s = 19.6 m/s.
It is important to note that this equation only applies to objects that are in free fall and not affected by any air resistance or other forces. In the real world, air resistance can have a significant effect on the motion of falling objects, especially at high speeds.
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when a given molecule absorbs a photon of microwave radiation
Answers
When a given molecule absorbs a photon of microwave radiation, its rotational energy state changes.
The absorption of a microwave photon by a molecule causes a change in its rotational energy state. The rotation of a molecule occurs about its center of mass, which is referred to as its rotational energy. When a molecule absorbs microwave radiation, it acquires energy that causes it to transition to a higher rotational energy state.
The absorption of a microwave photon results in an increase in the energy of the molecule, which causes it to spin faster around its axis. In order to make this change, the molecule must first absorb the radiation's energy.
As a result, microwave radiation is often used to investigate molecular structures because it can induce transitions between different rotational energy levels of a molecule.
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help me please w this work
Answers
The total resistance of the parallel circuit is 40 ohms.
option A.
What is the total resistance of a parallel circuit?The total resistance of a parallel circuit is the equivalent resistance of the circuit when all of the individual resistors are connected in parallel. In a parallel circuit, each resistor is connected across the same two points in the circuit, so the voltage across each resistor is the same.
The total resistance of a parallel circuit can be calculated using the following formula:
1/RT = 1/R1 + 1/R2 + 1/R3
where;
RT is the total resistance of the parallel circuit, and R1, R2, R3, are the individual resistances in the circuit.1/RT = (1/120) + (1/120) + (1/120)
1/RT = 3/120
RT = 120/3
RT = 40 ohms
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If a roller coaster has 50,000 J of potential energy at the top of the first hill, how much kinetic energy does it have at the lowest point?
Answers
Answer:
50,000 J because of the transformation of energy
Explanation:
The intensity of the distributed lood acting on the beams 25 kN/m.) Determine the magnitude of reaction at Express your answer to three significant figures and include the appropriate units O ? N Value Units Submit Request Answer Figure Part 6 1 of 1 Delane te zand y components of reaction all sing scalar notation Express your answers using three significant figures separated by a comma HV AED vec ?
Answers
The magnitude of reaction at the beam due to the distributed load of 25 kN/m is 625 N.
What is the magnitude of reaction to the distributed load?The magnitude of reaction at the beam can be determined by calculating the total force exerted by the distributed load. In this case, the distributed load is given as 25 kN/m. To find the magnitude of reaction, we multiply the distributed load by the length of the beam.
Therefore, the magnitude of reaction is 25 kN/m multiplied by the length of the beam in meters. By performing the calculation, we obtain the value of 625 N as the magnitude of reaction at the beam due to the distributed load. This represents the total force exerted by the distributed load on the beam.
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A parallel circuit contains an 18-V battery wired with 2 bulbs with resistances of 8
Ohms and 24 ohms.
Answers
Answer:
See below
Explanation:
Total current will be 18 v/ 8 ohms + 18v / 24 ohms = 3 amps
Equivalent resistance = 1 / (1/8 + 1/24) = 6 Ω
7) When you place a metal saucepan on the heating element of a stove, heat is transferred from the element to the saucepan by:
A reflection.
B convection.
C conduction.
D radiation.
8) Which of the following can be described as being luminous :
A Streetlights (turned on)
B A road sign
C The moon
D Water
9) In the burning of fireworks during New Year displays, chemical potential energy is converted into:
A heat, light and sound energy.
B light and sound energy.
C sound and heat energy.
D gravitational potential energy and light.
10) Which would be the most appropriate description of how energy is distributed when a torch is turned on?
A 70% light energy, 30% thermal energy
B 70% thermal energy, 30% electrical energy
C 65% light energy, 30% thermal energy
D 40% thermal energy, 55% light energy
Answers
Answer:
Explanation:
7.Conduction
Assuming the pot is cold and the heating element is hot: Heat will be transferred from the element to the pan via conduction because they are in contact with one another.
8. C The moon
9. A heat, light and sound energy.
When fireworks explode, chemical energy is transformed into thermal energy, mechanical energy, radiant energy, and sound energy.
10.A 70% light energy, 30% thermal energy
When the flashlight is turned on, the chemical energy is first transformed into electrical energy and then into light energy.
If number 10 is not correct then the answer is C.
when you blow across the top of a soda bottle it acts like a closed pipe. if it creates a fundamental frequency of 680 Hz, how deep is the bottle? (Speed of sound = 343 m/s) (Unit = m)
Answers
Answer:
0.125
Explanation:
acellus
What is the heat that is released into the atmosphere when energy is changed into mechanical energy called?
Answers
Answer:
thermal pollution
Explanation:
took exam!
When the heat is discharged into the atmosphere then energy is changed into mechanical energy is known as Thermal pollution.
What is Thermal pollution?
When Thermal pollution is the degradation of water differentia by any procedure that changes ambient water temperature.
A typical motivation for thermal pollution is the usefulness of water as a coolant by power plants and industrial manufacturers.
When the water utilized as a coolant is returned to the biological environment at a more elevated temperature, the sudden transformation in temperature lowers the oxygen supply and affects ecosystem composition.
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What will be the resistance Rstretched of the wire if it is stretched to twice its original length? Assume that the density and resistivity of the material do not change when the wire is stretched.
Answers
Answer:
Hence, the resistance of the stretched wire will be four times that of the original wire.Explanation:
The resistance of a material is expressed as R = ρL/A
Volume of the original material V = Area * Length = A*L
ρ is the resistivity of the material
R is the resistance
A is the cross sectional area
L is the length of the wire.
If the wire is stretched o twice its original length then new length of the wire L₂ = 2L. Note that an increase in the length of wire will affect its area but its volume and density will not change.
This means V = V₂
A*L = = A₂*L₂
A*L = A₂*(2 L)
A = 2 A₂
A₂ = A/2
The new resistance of the material Rf = ρL₂/A₂
R₂ = ρ(2 L)/(A/2)
Rf = 2ρL * 2/A
Rf = 4(ρL/A)
Since R = ρL/A
R₂ = 4R
Hence, the resistance of the stretched wire will be four times that of the original wire.
If the wire is stretched to twice its original length, the new resistance would be quadrupled.
The resistance (R) of a wire is given by:
\(R=\rho\frac{L}{A} \\\\where\ L\ is\ length\ of\ wire, A\ is\ the\ cross\ sectional\ area\ and\ \rho\ \\is\ the\ resistivity\)
Since the wire is stretched, the new length (L₁) is twice its original length, hence:
L₁ = 2L
An increase in length affects the area, the new area (A₁) is:
initial volume = volume after stretch
AL = A₁L₁
AL = A₁(2L)
A₁ = A/2
The resistance of the stretched wire (R₁) is:
\(R_1=\rho\frac{L_1}{A_1} \\\\R_1=\rho\frac{2L}{A/2} \\\\R_1=4\rho\frac{L}{A}=4R\)
Therefore if the wire is stretched to twice its original length, the new resistance would be quadrupled.
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Is lateral shift or lateral displacement same ?
Answers
Answer:
When a ray of light passes through a glass slab of a certain thickness, the ray gets displaced or shifted from the original path. This is called lateral shift/displacement.
Explanation:
.
(a) Calculate the electric field between the plates. kV/m (b) Calculate the surface charge density. nC/m
2
(c) Calculate the capacitance. pF (d) Calculate the charge on each plate. PC
Answers
The capacitance of the parallel plate capacitor is 7.49 pF and the charge on each plate is 1.12 pC.
Distance between the plates, d = 3mm = 3 × 10⁻³m
Dielectric constant, k = 1.5
Potential difference between the plates, V = 150V
(a) Electric field between the plates:
The electric field between the plates is given by the formula,E = V/d = 150/3 × 10⁻³= 50 × 10⁴ = 5 × 10⁵ V/m
(b) Surface charge density: capacitance = (ε₀kA)/d
Where, ε₀ = permittivity of free space = 8.85 × 10⁻¹² F/m, A = area of the plates
Now, capacitance, C = Q/V
Charge on each plate, Q = CV
Surface charge density, σ = Q/Aσ = C × V/A = ε₀k
V/d= 8.85 × 10⁻¹² × 1.5 × 150/(3 × 10⁻³)= 67.13 × 10⁻⁹= 67.13 nC/m²
(c) The capacitance of the parallel plate capacitor is C = (ε₀kA)/d= 8.85 × 10⁻¹² × 1.5 × A/(3 × 10⁻³)A = (C × d)/(ε₀k) = (2.655 × 10⁻¹¹ × 3 × 10⁻³)/(1.5)= 5.31 × 10⁻¹¹ m²
Capacitance, C = (ε₀kA)/d= 8.85 × 10⁻¹² × 1.5 × 5.31 × 10⁻¹¹/(3 × 10⁻³)= 7.49 pF
(d) Charge on each plate:Charge on each plate, Q = CV= 7.49 × 10⁻¹² × 150= 1.12 × 10⁻⁹ C= 1.12 pC
The electric field between the plates is 5 × 10⁵ V/m.
The surface charge density is 67.13 nC/m².
The capacitance of the parallel plate capacitor is 7.49 pF.
The charge on each plate is 1.12 pC.
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Is a plant a vertebrate or invertebrate
Answers
Answer:
Veterbrate
Explanation:
a truck carries a tank and is open at the top. the tank is 24 ft. long, 6 ft. wide, and 8 ft. high. assuming that the driver will not accelerate or decelerate the truck at a rate greater than 9f t/s2, to what maximum depth may the tank be filled so that water will not be spilled?
Answers
The maximum depth to which the tank can be filled without water spilling over the top during acceleration or deceleration of the truck is approximately 4.57 feet.
To prevent water from spilling over the top of the tank during acceleration or deceleration of the truck, the maximum depth to which the tank can be filled without overflowing needs to be determined.
First, let's convert the dimensions of the tank from feet to inches for consistency:
Length of tank (L) = 24 ft = 24 * 12 inches = 288 inches
Width of tank (W) = 6 ft = 6 * 12 inches = 72 inches
Height of tank (H) = 8 ft = 8 * 12 inches = 96 inches
Next, we can calculate the volume of the tank in cubic inches:
Volume of tank (V) = Length * Width * Height = L * W * H
Plugging in the values:
V = 288 inches * 72 inches * 96 inches = 1,986,048 cubic inches
Now, let's consider the acceleration or deceleration of the truck. The maximum acceleration or deceleration the truck can experience without water spilling over the top of the tank is 9 ft/s^2. Since the tank is open at the top, the water will be subjected to the same acceleration or deceleration as the truck.
To find the maximum depth to which the tank can be filled without water spilling over the top, we need to equate the pressure due to the acceleration or deceleration of the truck to the pressure of the water at the maximum depth.
The pressure due to acceleration or deceleration is given by:
Pressure due to acceleration/deceleration (P) = Density of water (ρ) * Acceleration or deceleration of truck (a) * Height of water (h)
Where:
Density of water (ρ) = 62.43 lb/ft^3 (density of water at room temperature)
Converting the acceleration from feet to inches:
Acceleration or deceleration of truck (a) = 9 ft/s^2 = 9 * 12 inches/s^2 = 108 inches/s^2
Setting the pressure due to acceleration/deceleration equal to the pressure of the water at the maximum depth:
P = ρ * a * h
Solving for the height of water (h):
\(h = \frac{P}{(\rho * a)}\)
Plugging in the values:
\(h = \frac{P}{(62.43 * 108)}\)
Note: The unit conversion from lb/ft^3 to inches/s^2 is necessary to ensure that all units are consistent.
Now, we need to convert the volume of the tank from cubic inches to cubic feet, since the density of water is given in lb/ft^3:
Volume of tank (V) = 1,986,048 cubic inches = \(\frac{1,986,048}{(12^3)}\) cubic feet
Plugging in the value of V and solving for h:
\(h = \frac{P}{(\rho * a)} = \frac{(\frac{1,986,048}{(12^3)})}{(62.43*108)}\)
h ≈ 4.57 ft (rounded to two decimal places)
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Khi hiệu điện thế đặt vào hai đầu một bóng đèn càng lớn thì cường độ dòng điện chạy qua bóng đèn sẽ?
Answers
Answer:
sẽ càng lớn
Explanation:
if your mass is 72kg your textbooks in Madison has 3.7 kg and you and your textbook are separated by a distance of 0.33 M what is the gravitational force between you and your textbook
Answers
Answer:
1.63 X 10^-7N
Explanation:
(b) 32g of dry ice was added to 200g of water at 25°C in a beaker of negligible heat
capacity. When all ice had melted the temperature of water was found to be 10°C. 9 (Take specific
heat capacity of water to be 4.0J/gk)
(i) Calculate the heat lost by water
Answers
The heat lost by water is equal to the heat gained by ice here. The heat lost from water for a temperature change of 25 to 10 degree Celsius is 12300 J.
What is calorimetric ?Calorimetry is an analytical technique used to determine the heat energy absorbed or evolved by a system. The calorimetric equation relating the heat energy q with the mass m, specific heat c and the temperature difference ΔT is :
q = m c ΔT
Here, the heat energy gained by the dry ice is equal to the heat lost from water.
temperature difference for water = 25- 10 °C = 15°C
thus, 15°C is lost from water.
mass of water = 200 g
q =200 g × 4.12 J/°C g × 10°C = 12300 J
Therefore, the heat energy lost from water is 12300 J.
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1. A bike takes 9.0 seconds to decelerate to a stop over a distance of 30 meters. How fast was the bike traveling before the biker started to decelerate?
Answers
Answer:
Starting speed Vo = 6.7 m/s
Explanation:
Given:
t = 9.0 s
S = 30 m
___________
V₀ - ?
The path is numerically equal to the area of the figure lying under the velocity graph:
S = V₀* t / 2
Starting speed:
V₀ = 2*S / t = 2*30 / 9 ≈ 6.7 m/s
A force of 25 newtons moves a box a distance of 4 meters in 5 seconds.
The work done on the box is [___] Nm, and the power is [___] Nm/s.
h e l p
Answers
Answer:
100 Nm and 25Nm/s.
Explanation:
Given the following data;
Force = 25N
Distance = 4m
Time = 5secs
To find the workdone;
Workdone = force * distance
Substituting into the equation, we have;
Workdone = 25*4
Workdone = 100 Nm
To find the power consumed;
Power = workdone/time
Substituting into the equation, we have;
Power = 100/4
Power = 25Nm/s
The work done on the box is 100 Nm, and the power is 25 Nm/s.
at what time ABC or D is the writer accelerating upwardwhat is the magnitude of the maximum acceleration experienced by the rider
Answers
We will have the following:
From the graph we can see that the point at which it is accelerating upward is at point C. [We can see that where the slope of the function is positive the acceleration will be positive]
We determine the maximum magnitude of the acceleration of the rider by using the maximum force, that is:
\(F=m\cdot a\Rightarrow1.20N=a=\frac{1.20N}{m}\)So, the maixmum magnitude of the acceleration will depend on the mass of the rider. Now, since the mass cannot be 0 kg since that would undetermine the expression we know then that the best approximation is:
\(a=\frac{1.20N}{m}\)Where "m" is the mass of the rider in kg. Since we are not given a mass, then the acceleration can only be expressed as the force divided by the mass of the rider.
A motorcycle travels at 6.0 m/s. After 3.0 seconds, the motorcycle travels at 15.0 m/s.
Which of the following was the average acceleration of the motorcycle?
Answers
The average acceleration of the motorcycle is determined as 3 m/s².
Acceleration of the motorcycle
The acceleration of the motorcycle is calculated as follows;
a = (v - u)/t
where;
v is the final velocityu is the initial velocityt is time of motiona = (15 - 6)/3
a = 3 m/s²
Thus, the average acceleration of the motorcycle is determined as 3 m/s².
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What type of motion do star trails result from?
Answers
Answer:
Star trails reflect Earth's rotation, or spin, around its axis. The Earth makes a complete rotation relative to the backdrop stars in a period of about 23 hours and 56 minutes.
A bike travels 4 miles in half an hour , what is its speed
Answers
Answer:
8 MPH
Explanation:
How to calculate for speed?
Speed is calculated by dividing the distance traveled by the time it takes to travel that distance.
In our case, the bike travels 4 miles in half an hour (0.5 hours). So, its speed is 4 miles divided by 0.5 hours, which gives us a speed of 8 miles per hour.
4 ÷ 0.5 = 8Therefore, the bikes speed is 8 MPH.
Answer:
\(\Huge \boxed{\boxed{\text{Speed = 8 mph}}}\)
Explanation:
To calculate the speed, we can use the following formula:
\(\LARGE \boxed{\text{Speed = $\frac{\text{Distance}}{\text{Time}}$}}\)
In this case, the distance traveled is 4 miles and the time taken is half an hour, which is equivalent to 0.5 hours.
\(\Large \boxed{\text{Speed = $\frac{\text{4 Miles}}{\text{0.5 Hours}}$}}\)
\(\LARGE \boxed{\text{Speed = 8}}\)
Therefore, the speed of the bike is 8 miles per hour.
----------------------------------------------------------------------------------------------------------
Heat energy has to do with the energy contained within a system
true or false
science
Answers
Answer: The statement is false.
Explanation:
Although adding heat energy to a system raises its temperature, that isn't always the scenario. When you heat water, for example, the temperature rises, but when you heat it to 100 degrees Celsius, the state of the water changes while the temperature stays the same.
Two arrows are shot vertically upward. The second arrow is shot after the first one, but while the first is still on its way up. the initial speeds are such that both arrows reach their maximum heights at the same instant, although these heights are different. Suppose the that initial speed of the first arrow is 34 m/s and that the second arrow is fired 0.204081632653061 seconds after the first. Determine the initial speed of the second arrow.
Answers
Answer:
The initial speed of the second arrow is 33.8 m/s.
Explanation:
initial speed of first arrow, u = 34 m/s
Let the initial height of the second arrow is h.
Let they both reaches at maximum height H.
Let the time taken by the first arrow is t and the second arrow is t - 0.0204
Let the initial speed of the second arrow is u'.
Use first equation of motion for the first arrow.
v = u - gt
0 = u - gt
34 = gt ..... (1)
For the second arrow
v =u' - g (t - 0.0204)
0 = u' - gt + 9.8 x 0.0204
u' = 34 - 0.1999 = 33.8 m/s
A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. What is the momentum of the rocket?
Answers
A fuel-filled rocket is at rest. It burns its fuel and expels hot gas. The gas has a momentum of 1,500 kg m/s backward. So, The momentum of the rocket is -1500 kg m/s.
According to the law of conservation of momentum, in a closed system, the total momentum before and after a process remains constant.
A fuel-filled rocket that is initially at rest expels hot gas as it burns its fuel. The gas has a momentum of 1500 kg m/s backward.
We are required to determine the momentum of the rocket.
Consider the fuel-filled rocket as a system.
We have: Momentum before the burn = 0 kg m/s (since the rocket was at rest initially)Momentum after the burn = momentum of the expelled gas
We can therefore say that the initial momentum of the system was zero (0), and after the burn, the total momentum of the system remains the same as the momentum of the expelled gas.
Therefore: Momentum of rocket = - momentum of expelled gas
The negative sign signifies that the rocket's momentum is in the opposite direction of the expelled gas.
Hence, the momentum of the rocket is -1500 kg m/s.
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A child goes down a slide, starting from rest. If the length of the slide is 2 m and it takes the child 3 seconds to go down the slide, what is the child's acceleration?
Answers
Answer:
0.44 m/s^2
Explanation:
initial velocity = 0 (since the child starts from rest)
distance covered by the child = 2 m (the length of the slide)
time taken = 3 sec
acceleration of the child = ?
using Newton's equation of motion
s = \(ut + \frac{1}{2}at^{2}\)
where s is the distance covered by the child
u is the initial velocity
a is the acceleration
t is the time spent
substituting values, we have
2 = 0(3) + \(\frac{1}{2}a*3^{2}\)
2 = 9a/2
4 = 9a
a = 4/9 = 0.44 m/s^2