ezrah attached a baseball to a small rope that is 0.50 meters in length. He then began spinning the string with rotational speed of 2.0 rotations per second. predict how to tangential velocity of the ball would change if ezrah reduced the length of the rope to 0.25 meters and rotational speed is help constant

The current in the LR-series circuit at i(t) = 0.14e^(-t/0.0014) amps.

Explanation:

A 10-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1 henry and the resistance is 70 ohms.

The current i(t) can be calculated using the following steps:

Step 1: Calculate the time constant (τ) of the circuit.τ = L/Rτ = 0.1/70τ = 0.0014 seconds

Step 2: Write the expression for the current in the circuit. i(t) = I0e^(-t/τ)Where I0 is the initial current in the circuit and t is the time in seconds.

Step 3: Substitute the given values in the expression. i(0) = I0I0 = i(0) = 0.14 amps

Step 4: Substitute the values of I0 and τ in the expression for i(t).i(t) = 0.14e^(-t/0.0014)Therefore, the current in the LR-series circuit at any time t can be found using the expression i(t) = 0.14e^(-t/0.0014) amps.

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Answer:

Explanation:

A ) Total energy of spring block system at height = kinetic energy at the bottom

= 1/2 m V²

= .5 x 2 x 2²

= 4 J

B )

height of ramp be h

mgh = 1/2 m ( v₂² - v₁² )

2 x 9.8 x h = 2² - 1.2²

19.6 h = 4 - 1.44

h = .1306 m

13.06 cm

C ) If distance between B and C be x₁

work done by friction = reduction in kinetic energy

= μ mg x₁ = 1/2 m ( 2² - 1.4² )

.3 x 9.8 x₁ = 1.02

x₁ = 34.7 cm

D )

If distance between C and D be x₂

work done by friction = reduction in kinetic energy

= μ mg x₂ = 1/2 m ( 1.4² - 0 )

.3 x 9.8 x₂ = .98  

x₂ = 33.33 cm

E )

Total work done by friction

= 1/2 m v² - 0 , v = 2 m /s

= .5 x 2 x 2²

= 4 J .

F )

Mechanical energy of the system at E = 0

G ) 1/2 k x² = 1/2 m v²

kx = 50 N , where x is compression and k is spring constant

k²x² / 2k = 1/2 m v²

50² / k = 2 x 1.2²

k = 868.05 N / m

H ) kx = 50

x = 50 / k

= 50 / 868.05

= 5.76 cm .

reactions at supports C, D, and E are:- Cx = Fg = 2.4 kN  - Dx = 2.4 kN  - Ey = 4.8 kN

a) To find the reactions at supports C, D, and E, we need to draw a free body diagram of the system.
First, let's label the forces acting on plate A. We have the weight of plate A (4.8 kN) acting downwards at the center of mass (which we can assume is at the geometric center since the plate is symmetrical), and two reaction forces at supports C and E. Let's label these as Cx and Ey. Next, let's label the forces acting on plate B. We have the weight of plate B (2.4 kN) acting downwards at the center of mass (again assuming it is at the geometric center), and a reaction force at support D, which we will label as Dx.
Now, let's draw the free body diagram, including the reaction forces at support G, which we will label as Fg. `
      A
      |
Cx ----|---- Ey
      |
--Fg---g---Fg--
      |
Dx ----|----
      |
      B
Since the plates are pin connected at G, we know that the contact forces between the two plates at G must be equal and opposite. Therefore, we can draw these forces on the free body diagram as shown.
Now, we can write the equations of equilibrium for each plate.
For plate A:
∑Fy = 0: Ey - 4.8 = 0  =>  Ey = 4.8 kN
∑Fx = 0: Cx - Fg = 0  =>  Cx = Fg
For plate B:
∑Fy = 0: Dx - 2.4 = 0  =>  Dx = 2.4 kN
∑Fx = 0: Fg - Dx = 0  =>  Fg = Dx
Therefore, the reactions at supports C, D, and E are:
- Cx = Fg = 2.4 kN
- Dx = 2.4 kN
- Ey = 4.8 kN
b) The contact forces between the two plates at G are equal and opposite. From the free body diagram, we can see that these forces are both equal to Fg, which we just calculated as 2.4 kN. Therefore, the contact forces between the two plates at G are both 2.4 kN, acting in opposite directions.

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The process of heating a cooled cup of coffee from 55°F to 130°F is an example of endothermic reaction. Endothermic reactions absorb energy in the form of heat and result in an increase in temperature. The coffee absorbs the energy from the microwave, causing its temperature to rise.

Heat reactions, also known as thermochemical reactions, are chemical reactions that involve a change in temperature. These reactions can either be endothermic or exothermic. Endothermic reactions absorb heat and result in a decrease in temperature, while exothermic reactions release heat and result in an increase in temperature. Heat reactions play an important role in many industrial processes such as chemical synthesis, power generation, and food preparation. They can also occur in biological systems, where heat energy is used to drive metabolic processes. Understanding heat reactions is essential for developing sustainable energy technologies, controlling environmental pollution, and improving human health.

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(a) It can be stated that the 10-gram marble hits the ground first because it has a higher acceleration and travels faster.

(b) Both marbles will travel the same distance since their horizontal components of velocity and initial velocity with respect to the ground are the same.

According to the given statement, a 10-gram marble has a speed that is 5 times faster than that of a 100-gram marble. Both marbles roll off the table at the same time. The questions to answer are as follows:

(a) The acceleration due to gravity is constant at 9.8 m/s², according to Newton's Law of Gravitation.

According to the law of physics, heavier objects fall faster than lighter ones, but since the 10-gram marble has a speed that is five times faster than the 100-gram marble, it implies that the 10-gram marble covers more ground in less time than the 100-gram marble as acceleration is directly proportional to the force applied.

The time taken by both marbles to reach the ground is given byt = √(2h/g)where h is the height from which the marbles were dropped, and g is the acceleration due to gravity.

The height from which the marbles were dropped is the same in both cases, so it can be stated that the 10-gram marble hits the ground first because it has a higher acceleration and travels faster.

(b) The range traveled by both marbles is determined by the horizontal component of their velocity. It's worth noting that the horizontal components of their velocities are identical since they were launched from the same height, so there's no advantage for either marble.

The range of a projectile is determined by the formula:

R = u²sin(2θ)/g where R is the range, u is the velocity of the object, θ is the angle of the initial velocity with the horizontal, and g is the acceleration due to gravity.

Since the angle of the initial velocity with the horizontal is the same for both marbles, and their initial velocity is also the same, it can be stated that both marbles travel the same distance.

Therefore, both marbles will travel the same distance since their horizontal components of velocity and initial velocity with respect to the ground are the same.

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Answer:

Explanation:

Given data

mass m= 45g

volume v= 9mL

we know that density=m/v

substituting our given data we have

\(density=\frac{45}{9} =5g/mL\)

What is Density?

The Density of a body can be defined as the ratio of mass to volume,

or

Density, mass of a unit volume of a material substance. The formula for density is \(Density= \frac{mass}{volume}\),

where d is density,

M is mass, and

V is volume.

Density is commonly expressed in units of grams per cubic centimetre.

The speed of the current in m/s for a paddle wheel with a radius 0.40m and rotates at 100rpm is 41.88.

The linear velocity v and angular velocity w (in radians per unit time) are related by:

where r is the radius.

First, we convert the angular velocity to rad/s:

w = 100rev/100 * 2πrad/1rev * 1min/60s = (100π/3) rad/s

Substitute r = 0.40m and w =  (100π/3) rad/s

v = 0.40 (100π/3)

v = 41.88/s

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Answer:

\(40\:\mathrm{m}\)

Explanation:

We can use kinematics equation \(\Delta y={v_i}^2+\frac{1}{2}at^2\) to solve this problem. Because the metal ball's initial velocity was 0, \({v_i}^2=0\).

Therefore, our equation becomes:

\(\Delta y=\frac{1}{2}at^2\) (freefall equation).

\(t\) is given as 3 seconds and \(a\) is acceleration due to gravity (\(9.81\:\mathrm{m/s}\)).

Therefore, our answer is:

\(\Delta y = \frac{1}{2}\cdot9.81\cdot3^2=44.145=\fbox{$40\:\mathrm{m}$}\) (one significant figure).

Time required to 200 meter long train to pass through a 160 meter tunnel at a speed of 18 meters per second is 11.1s.

Given, length of train 200 meter

Length of tunnel is 160 meter

Speed = 18 m/s

Formula of Speed = distance/ time

Time = Distance/speed

Time = 200/ 18

Time = 11.1 s.

Hence, time required to 200 meter long train to pass through a 160 meter tunnel at a speed of 18 meters per second is 11.1s.

Speed is the time rate at which an object is moving along a direction, whilst velocity is the rate and direction of an item's motion. Put every other manner, speed is a scalar value, while velocity is a vector.

The Italian physicist Galileo Galilei is credited with being the first to measure pace by way of thinking about the distance covered and the time it takes. Galileo defined pace as the distance covered per unit of time.

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To find the volume of the gas tank, we need to calculate the volume of each component separately and then add them together.

1. The two ends of the tank are hemispheres with a radius of r feet. The formula for the volume of a hemisphere is (2/3)πr^3. Since we have two hemispheres, we multiply this by 2 to get (4/3)πr^3.

2. The cylindrical midsection of the tank is 6 feet long. The formula for the volume of a cylinder is πr^2h, where r is the radius and h is the height. In this case, the height is 6 feet, and the radius is also r feet. So, the volume of the cylindrical midsection is 6πr^2.

To find the total volume of the tank, we add the volume of the hemispheres to the volume of the cylindrical midsection:
Total Volume = (4/3)πr^3 + 6πr^2

So, the volume of the gas tank is expressed as a function of r as (4/3)πr^3 + 6πr^2.

Please note that the unit of measurement for the volume will be in cubic feet since we are working with feet as the unit for radius and length.

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Answer:

0.000136kg/m3

Explanation:

13.6 / 1000 = 0.0136kg/cm3

0.0136 / 100 = 0.000136kg/m3

Answer:

Explanation:

According to ohm's law, V = IR where;

V is the supply voltage (in volts)

I is the current supplied (in amperes)

R is the resistance (in ohms)

Initially, I = 2A, hence V = 2*R;

V = 2R .................... 1

If the resistance in the circuit decreases to one-fourth of its original amount while the voltage remains constant, then the new resistance will be expressed as R₂ = 1/4 R and V₂ = V

Substituting the new conditions into the ohms law formula, we will have;

V₂ = I₂R₂

I₂ is the resulting new current

V = I₂ (1/4 R)

V = I₂ * R/4

V = I₂R/4 ...... 2

Substituting equation 1 into 2 we will have;

2R = I₂R/4

2 = I₂/4

cross multiply

I₂ = 4*2

I₂ = 8A

Hence the resulting new current is 8A

The distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

The circular movement of an object about a primary axis is referred to as rotation or spin. A revolving object in two dimensions only has one conceivable central axis and can revolve either clockwise or counterclockwise. There are countless conceivable central axes and rotating orientations for a three-dimensional object.

Given:

The radius of the wheel, r = 22 cm,

The distance traveled by the point on the wheel's edge in one rotation will be equal to the circumference of the wheel.

Calculate the circumference of the circle by the formula given below,

Circumference of circle = \(2\pi \ r\)

Substitute the values,

C = 2 × 3.14 × 22

C = 138.16 cm

Therefore, the distance traveled by the wheel edge by one rotation of the wheel, if the radius is 22 cm, is  138.16 cm.

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Answer:

They have lighting rods to light up the sky so a plane can see the light and not crash into the building

Answer:

When a car stops suddenly, the inertia the keeps you moving forward will finally stop and give you whiplash, which could seriously injure or even kill a baby. With the seat turned back, the force will be decreased dramatically, and prevent any fatal harm.

Answer:

985 kg/m3

Explanation:

The average density of the human body is 985 kg/m3 k g / m 3 , and the typical density of seawater is about 1020 kg/m3 k g / m 3 .

Explanation:

the worldwide human population density is around 7,500,000,000 ÷ 510,000,000 = 14.7 per km2 (38 per sq. mi.). If only the Earth's land area of 150,000,000 km2 (58,000,000 sq. mi.) is taken into account, then human population density is 50 per km2 (129 per sq.

During a certain time interval, the net work done on an object is zero joules. We can be certain that the object's final speed is same as its initial speed.

When the net work done on an object is zero, this indicates that the kinetic energy of the body has not changed which means that the object's final speed is same as its initial speed.

Since, we know from the Work energy Theorem that the Change in Kinetic energy is equal to the work done.

So, Zero work indicates that the kinetic energy has not varied which directly signifies that the speed has not change in the course of the interval.

Work is done by the force acting on the body which gets transferred in the kinetic energy of the body.

Kinetic energy is the energy produced due to the motion of the body in the system.

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The power dissipated in the cord that is made up of two wires of diameter 0.129 cm (no. 16 copper wire) and length, 2.4 m (8 ft) that is connected to an electric heater which draws 13.5 A on a 120-V line is 191.40 W.

How to find the power dissipated in the cord?

The diameter of each wire = 0.129 cm length of the cord = 2.4 current through the wire = 13.5 A, Voltage across the wire = 120 V.

For no. 16 wire the resistance per unit length is 4.016 × 10-3 Ω/m. The resistance of each wire is R = ρl/A, where ρ = resistivity, l = length of the wire, A = area of the cross-section of the wire, and diameter of the wire = 0.129 cm. So, radius = d/2 = 0.0645 cm = 6.45 × 10-4 m

A = πr² = π(6.45 × 10-4 m)² = 3.289 × 10-7 m²

Area of a cross-section of each wire = 2 × 3.289 × 10-7 m² = 6.578 × 10-7 m²

The resistance per unit length of no. 16 wire is 4.016 × 10-3 Ω/m.

So, the resistance of each wire is R = (4.016 × 10-3 Ω/m) × (2.4 m) / (6.578 × 10-7 m²)= 1462.42 Ω

The total resistance of the wire is RT = 2R = 2 × 1462.42 Ω= 2924.84 Ω

Now, the power dissipated in the cord is P = I²R= (13.5 A)² × 2924.84 Ω= 191.40 W

Therefore, the power dissipated in the cord that is made up of two wires of diameter 0.129 cm (no. 16 copper wire) and length 2.4 m (8 ft) that is connected to an electric heater which draws 13.5 A on a 120-V line is 191.40 W.

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Answer:

Yes the water amounts are the same.

Explanation:

In an uniform gravitational field the center of gravity is equal to center of mass of a mass distribution. The center of mass of a colinear discrete mass distribution is given by:

where M is the total mass of the system, m_i the mass of each particle and xi is its position. In this case we have:

To induce an electromotive force (emf) in a loop, the following changes can be considered, Change in magnetic field strength through the loop, Change in the area of the loop within the magnetic field, Change in the orientation of the loop with respect to the magnetic field.

When any of these changes occur, an emf is induced in the loop according to Faraday's law of electromagnetic induction. The emf is a voltage that drives an electric current within the loop.

1. Change in magnetic field strength: If the magnetic field strength passing through the loop changes, it will induce an emf in the loop. This can be achieved by altering the current flowing through a nearby wire or by using a magnet to change its distance or orientation relative to the loop.

2. Change in the area of the loop: If the area of the loop within the magnetic field changes, it will induce an emf. This can be done by physically changing the size or shape of the loop while keeping it within a constant magnetic field.

3. Change in the orientation of the loop: If the orientation of the loop with respect to the magnetic field changes, it will induce an emf. This can be achieved by rotating or tilting the loop relative to the magnetic field direction.

In summary, any change in the magnetic field strength, the area of the loop, or the orientation of the loop within the magnetic field will induce an emf in the loop, according to Faraday's law of electromagnetic induction.

Complete question is which of the following changes would induce an electromotive force (emf) in the loop? when you consider each option, assume that no other changes occur. check all that apply.

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This type of energy utilizes heat that is stored beneath the surface of the Earth to heat water and produce steam : geothermal energy.

Geothermal energy is the heat produced deep in the Earth's core and is a clean, renewable resource that can be harnessed for use as heat and electricity. Geothermal energy is the thermal energy in the Earth's crust that originates from the formation of planet.

Geothermal energy is the heat within the earth. Geothermal energy is a renewable source of energy because heat is continuously produced inside the earth. People use geothermal heat for bathing, heating buildings and to generate electricity.

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The  electrostatic force between the two charges is attractive  force and the magnitude of this electrostatic force is 0.808 N.

The electrostatic force between the two charges is calculated by applying Coulombs' law as follows;

F = kq₁q₂/r²

where;

F = (9 x 10⁹ x 0.00033 x 0.00017)/(25²)

F = 0.808 N

Thus, the force of one of the charges due to the other charge is 0.808 N.

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Answer:

360 degrees is one full rotation starting at zero

it take 2 s  to the flag to rotate once in a full circle  with 3 rad/s of angular velocity.

Angular velocity is "rate of change of angular displacement with respect to time". i.e. ω= dθ/dt. it is also defined as angular displacement over time. i.e. ω = angular displacement/Time.

Angular velocity shows how much angle can be covered in unit time. It's SI unit rad/s.

Angular acceleration is rate of change of Angular velocity with respect to time.

i.e. α = dω/dt if an object changes its angular velocity in short time, we can say that it has greater angular acceleration. It is expressed in rad/s².

In this problem we have to calculate time, but the angular velocity id not given.

Consider the angular velocity is 3 rad/s.

Given,

Angular displacement θ = 2π

angular velocity ω = 3 rad/s

Time t = ?

Time = θ/ω

Time = 2π/3 rad/s = 2 s

Hence the answer is 2s.

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Answer:

Below

Explanation:

Hz is   cycles per second....each cycle is 2 pi

  so multiply Hz * 2 pi to get R/s

example

12 Hz          12 * 2pi = 24 pi  rad/s  = 75.4 Rad/s

Answer:

total energy

Explanation:

law of conservation of energy

Answer:

Established a government for the Northwest Territory, outlined the process for admitting a new state to the Union, and guaranteed that newly created states would be equal to the original thirteen states

Explanation:

Goooogle, so I hope this helps somewhat

Also, isn't this a History question? You put physics lol

Answer:

I believe Scale

Explanation: