prove that Force is equal to mass and acceleration​

Answer:

20mA

Explanation:

because it is connected in series with the ammeter

The current through the 40Ω resistor in the given circuit is 20mA, which is explained below.

The volate across resistor R is 1V, as indicated by the voltmeter.

Since the potential of the battery is 3V, according to Kirchoff's voltage law, the voltage drop across 20Ω resistors must be 1V each since they are indentical.

Let a total current I passes through 20Ω resistor as it is connected to the battery in series. From Ohm's law:

20Ω × I = 1V

I = 50mA

Now the current indicated by the ammeter is 20mA which splits according to the reistors of 15Ω and 30Ω which are connected in parallel. Then again the current adds up to 20mA when leaving the set of parallel resistors, through the 40Ω resistor.

So the current through the 40Ω resistor is 20mA

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Answer:

Because of its position or shape.

After the impact, the velocity of the bullet-block combination is 1.3 m/s upwards. The maximum height reached by the combination is 4.64 cm. Kinetic energy is not conserved due to deformation and embedding of the bullet.

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Answer:

C. Alkynes

Explanation:

The symbolic expression for the speed of the puck is v = √(m₂gR/m₁).

The speed of the puck can be determined by considering the forces acting on the system.

Since the suspended object is in equilibrium, the tension in the string must balance the gravitational force on the object. The tension can be expressed as T = m₂g, where m₂ is the mass of the object and g is the acceleration due to gravity.

The centripetal force acting on the puck is provided by the tension in the string. The centripetal force can be expressed as F_c = m₁v²/R, where v is the speed of the puck and R is the radius of the circle.

Equating the centripetal force to the tension, we get m₁v²/R = m₂g. Solving for v, we find v = √(m₂gR/m₁).

Therefore, the symbolic expression for the speed of the puck is v = √(m₂gR/m₁).

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The isotopes of any element have same number of protons inside them.

Cadmium is a chemical element with the symbol Cd and atomic number 48. It is soft, silvery and white metal.

Given is about Cadmium that it has eight naturally occurring isotopes.

Isotopes are the atoms of the same element which have same number of protons in them but the number of neutrons are different. Isotopes usually have same chemical properties, but they have different physical properties. Their can be stable and unstable isotopes. These unstable isotopes are also called radioisotopes, since they emit radiation. Thus, the isotopes have same number of protons.

Therefore, the isotopes of any element have same number of protons inside them.

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False. A switch cannot send and receive on all circuits simultaneously.

In networking, a switch is a device that connects multiple devices within a local area network (LAN). It operates at the data link layer of the network protocol stack and uses MAC addresses to forward data packets to the appropriate destination.

A switch can handle multiple ports and can transmit data to multiple devices simultaneously, but it does so through a process known as **packet switching**. Packet switching involves the switch forwarding individual data packets to their intended destinations based on their MAC addresses.

While a switch can handle multiple connections and facilitate communication between devices, it operates in a sequential manner, forwarding packets one at a time based on their destinations. It cannot simultaneously send and receive data on all circuits or ports simultaneously. Each connection or port on a switch operates independently and can handle traffic in a time-division multiplexing manner, but not simultaneously on all circuits.

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The nucleus of an atom is neutral and contains protons and neutrons. The number of nucleons present in the nucleus is not always equal to the number of electrons present outside the nucleus. The nucleus accounts for a very small fraction of the volume of an atom and for almost all the mass of an atom and is always positively charged.

1. True: The nucleus of an atom is neutral because it contains an equal number of positively charged protons and negatively charged electrons.

2. False: The nucleus of an atom contains protons and neutrons. Neutrons have no charge, but protons are positively charged.

3. False: The number of nucleons present in the nucleus is not always equal to the number of electrons present outside the nucleus. The number of electrons is determined by the atomic number of the element, which corresponds to the number of protons in the nucleus. The number of nucleons (protons + neutrons) can vary depending on the isotope of the element.

4. False: The nucleus accounts for a very small fraction of the volume of an atom. The majority of the volume of an atom is occupied by the electron cloud.

5. True: The nucleus accounts for almost all the mass of an atom. This is because protons and neutrons have much greater mass than electrons.

6. False: The nucleus is always positively charged because it contains positively charged protons. The number of protons in the nucleus determines the atomic number and the identity of the element.

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Answer:

A. In a closed system, the potential energy at the bottom is equal to the kinetic energy at the top.

Explanation:

According to the law of conservation of energy, energy is neither created nor destroyed but transformed from one form to another.

Based on the premise of the law of conservation of energy, both kinetic energy and potential energy are equal at the top and bottom in the system.

This way energy is conserved.

Answer:

tension

Explanation:

correct on edge

The skater does indeed reach the same height on either side of the track With friction turned on.

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Answer:

what do u need help with

Explanation:

Calculate the escape velocity for the spacecraft. [G= 6.67×10^-11Nm^2kg^-2, mass of the Earth= 5.97×10^24kg, radius of the Earth= ...

The electric force that is found between the two ballons that we have here are C. 7.3 x 102 newtons

Electric force, also known as Coulomb force, is a fundamental force that exists between charged particles. It is the force of attraction or repulsion between two charged objects, which is proportional to the magnitude of the charges on the objects and inversely proportional to the square of the distance between them.

The electric force is caused by the electric field that surrounds charged particles. When two charged particles are brought near each other, they interact with each other through their electric fields, and the resulting force can be attractive or repulsive, depending on the charges of the particles.

F = (4.0 × 10^-6 C x 8.2 × 10^-6 C x 9.0 × 10^9 Nm²/C²) / (2 m)²

  = 295.2 x 10⁻³ / 4

  = 7.38 x 10⁻² N

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When a group of data exhibits an identifiable pattern, analysts look for that pattern in the current data. Most traders move their money in the trend's direction. Investors who trade against the trend are referred to as contrarians.

A series of numbers, forms, or objects that follow a set pattern can either stay the same or change. Patterns may be found in the natural world as a starting point. All three of these examples of naturally occurring patterns are seen in flower petals, seashells, and beehives.

The ability to recognize patterns is a brain function that is naturally geared to aid learning. Apophenia is the process of discovering patterns in seemingly random events.

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Answer:

Friction

Explanation:

edge 2022

This method of transferring charge by rubbing objects is charging by friction.

Charging is defined as the phenomenon of transferring charge between two objects by supplying electrons between the objects.

Here,

The student done an experiment of rubbing a glass rod with a piece of silk and as a result, static charge is produced.

This is because, when the two objects are rubbed against each other, there occurs a friction between them. During this process, the glass rod that has free electrons that are freely bound to it will transfer its electrons to the piece of silk cloth. As a result, the glass rod will lose electrons and will have an electron deficiency, that means the glass rod becomes positively charged. At the same time, the silk cloth will acquire the electrons and the piece of silk becomes negatively charged.

This phenomenon of transferring charge between two objects when they are rubbed against each other is called charging by friction.

Hence,

This method of transferring charge by rubbing objects is charging by friction.

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The value capacitor tunes the circuit to the radio station is 21.965 pf.

A capacitor is a device that stores electrical power in an electric-powered field by using a distinctive feature of amassing electric-powered charges on two near surfaces insulated from every different. it's far a passive electronic thing with two terminals. The impact of a capacitor is referred to as capacitance.

Capacitor, is a tool for storing electric electricity, including conductors in near proximity and insulated from every other. An easy instance of this kind of storage tool is the parallel-plate capacitor.

Calculation:-

For stunning natural frequency should be equal to frequency of radio wave

Wn = 1/√LC

given frequency f = 1550 kHz

inductance L = 480 μH

Wr = Wn

(2πf) = 1/√LC

(2πf)² = 1/LC

C = 1/(2πf)² × L

   = 1/[2×π × 1550 × 10³]² × 480 × 10⁻⁶

   = 52.77145 × 10⁻⁶/(1550)²

  = 21.965 × 10⁻¹²

Value of cap[acitor C =  21.965 × 10⁻¹²

                                   = 21.965 pf

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Answer:

then you solve two torque one is anticlockwise and one is clock wise toque 1=force*perpendicular distance is equal to torque 2= force* perpendicular distance so tau = torque 1+ torque 2and give your answer

Answer:

W =  4 N (to balance the beam)

Explanation:

take moment at support Δ

∑M at Δ = 0 (note: clockwise is + and counter clockwise is - )

0 = W(100 - 30) + 2(60-30) + 1(50-30) - 12(30)

0 = W70 + 2(30) + 1(20) - 360

0 = W70 + 60 + 20 - 360

0 = W70 - 280

280 = W70

W = 280 / 70

W = 4 N (to balance the beam)

to take the reaction at support Δ

Δ = 12 + 1 + 2 + 4

Δ = 19 N

proof that W = 4

∑M at 12N = 0

0 = 19(30) - 1(50) - 2(60) - W(100)

0 = 570 - 50 - 120 - 100W

100W = 400

W = 400 / 100

W = 4 N -------- ok

Answer:

\(31.7\:\mathrm{N}\)

Explanation:

We can use basic trig in a right triangle to solve this problem. Let the x component of the force be \(x\). We have the following equation:

\(\cos 24^{\circ}=\frac{x}{34.7},\\x=34.7\cos 24^{\circ}\approx \boxed{31.7}\)

The minimum amount of time taken by the receiver jet to catch up with the tanker jet is 100 seconds, rounded to the nearest second.

Let's assume that the receiver jet accelerates at the maximum rate (1.05g) until it reaches the same speed as the tanker jet, and then coasts for the rest of the journey.

The time taken for the receiver jet to reach the same speed as the tanker jet can be calculated using the following formula:

t = v / a

where

v = final speed - initial speed

a = acceleration (1.05g)

The initial speed of the receiver jet is 360 km/hr = 100 m/s. The final speed is the same as the tanker jet, which is 360 km/hr = 100 m/s.

So, v = 100 m/s - 100 m/s = 0

a = 1.05 * 9.8 m/s^2 = 10.29 m/s^2

t = v / a = 0 / 10.29 m/s^2 = 0 s

Since the receiver jet reached the same speed as the tanker jet in zero seconds, it will continue to fly at a constant speed of 100 m/s for the rest of the journey. The distance that the receiver jet needs to cover can be calculated as follows:

d = v * t

where

v = 100 m/s (speed of the receiver jet)

t = time taken to cover the distance (to be calculated)

Since the tanker jet was initially 10 km ahead of the receiver jet, the distance that the receiver jet needs to cover is 10 km = 10,000 m.

t = d / v = 10,000 m / 100 m/s = 100 s

So, the minimum amount of time taken by the receiver jet to catch up with the tanker jet is 100 seconds, rounded to the nearest second.

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Answer:

V = f * λ           velocity equals frequency * wavelength

If f is increased then λ must decrease for the velocity to remain constant.

A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.

The elastic potential energy stored in the spring is formulated as follows

                                                 PE = ½kx²

Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.

In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:

F = kx

Where F is the force acting on the spring, x is the displacement, and k is the force constant,

So that:

F = kx

240 N = 120 N/m . x

x = 240 N/120 N/m

x = 2 m

Once x is known, then we can calculate the potential energy of the spring:

PE = ½kx²

PE = ½ (120) (2²)

PE = 60 x 40

PE = 240 Nm

So, the elastic potential energy stored in the spring is 240 Nm.

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Work done in compressing spring =  40.833

It simply needs a three-inch compression by applying a compressive force to a 15-inch long spring. we know that  F(x)=kx. To act in displacement X and the poles' values cannot be substituted. Consequently, there will be 4. The spring constant K is therefore equal to 5, so. Three fit within this slot. We consequently derive the compressing spring constant K from this. , which is 5, 3. Now change this formula to include the value of the compressing spring constant. Four f will therefore equal 5.3 x and vice versa. Integration of four factors equals W.

In order to ensure the limit and further all of this, we currently have the range 0–7. Thus, this compressing spring task is completed. W is equal to  40.833

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The convex lens is a lens that converges rays of light that convey parallel to its principal axis (i.e. converges the incident rays towards the principal axis) which is relatively thick across the middle and thin at the lower and upper edges. The edges are curved outward rather than inward.

The initial rate of change of current in the circuit is zero.

When the switch is first closed, the circuit is effectively two separate circuits - one with the battery, switch, and inductor, and another with the three resistors. Initially, the inductor acts as a short circuit, so no current flows through the resistors. As the current through the inductor increases, it generates a magnetic field that opposes the change in current. This means that the rate of change of current is initially zero.

The inductor's opposition to changes in current is due to Faraday's law of electromagnetic induction, which states that a changing magnetic field induces an electromotive force (EMF) in a circuit. In this case, the changing magnetic field is due to the changing current in the inductor, and the induced EMF opposes the change in current.

As the magnetic field builds up, its opposition to changes in current decreases, and the rate of change of current in the circuit increases. Eventually, the inductor acts as a current limiter, and the current through the circuit reaches a steady state value.

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The dwarf planet Eris orbits the Sun every 557 years. The average distance (semimajor axis) from the Sun is 67.7 a.u.

A line segment that passes through the center and periphery foci and terminates at the broadest points of the perimeter is known as an ellipse's main axis in geometry. The semi-major axis goes from the center via a focus and out to the periphery since it is one of the main axes. In essence, it is the radius of an orbit at its two farthest points. The radius serves as the semi-major axis for the unique instance of a circle. The semi-major axis can be compared to the long radius of an ellipse.

A line segment associated with most conic sections, such as ellipses and hyperbolas, and which forms right angles to the semi-major axis is known as the semi-minor axis (a semi-minor axis).

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The slope of the graph is acceleration of the car with a value of 3.2 m/s².

The given parameters;

The initial velocity of the car in m/s is calculated as follows;

\(60 \ \frac{km}{hr} \times \frac{1 \ hr}{3600 \ s} \times \frac{1000 \ m}{1 \ km} = 16.67 \ m/s\)

The acceleration of the car is calculated as follows;

\(a = \frac{v- u}{t} \\\\a = \frac{80 - 16.67 }{20} \\\\a = 3.2 \ m/s^2\)

The graph of the velocity against time and acceleration against time is in the image uploaded.

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The resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.

To find the resultant vector A + B + C, we need to break down each vector into its horizontal (x) and vertical (y) components, and then add them together.

Given:

Vector A: magnitude = 8.0 m, angle = 30 degrees north of east

Vector B: magnitude = 6.0 m, angle = 30 degrees west of north

Vector C: magnitude = 5.0 m, angle = 30 degrees west of south

Let's calculate the x and y components for each vector:

For Vector A:

A_x = 8.0 m × cos(30°)

A_x = 8.0 m × 0.866

A_x ≈ 6.928 m

A_y = 8.0 m × sin(30°)

A_y = 8.0 m ×0.5

A_y = 4.0 m

For Vector B:

B_x = 6.0 m × sin(30°)

B_x = 6.0 m × 0.5

B_x = 3.0 m

B_y = 6.0 m × cos(30°)

B_y = 6.0 m × 0.866

B_y ≈ 5.196 m

For Vector C:

C_x = 5.0 m × sin(30°)

C_x = 5.0 m ×0.5

C_x = 2.5 m

C_y = 5.0 m × cos(30°)

C_y = 5.0 m × 0.866

C_y ≈ 4.33 m

Now, let's add up the x and y components:

Resultant x component = A_x + B_x + C_x

Resultant x component = 6.928 m + 3.0 m + 2.5 m

Resultant x component ≈ 12.428 m

Resultant y component = A_y + B_y + C_y

Resultant y component = 4.0 m + 5.196 m + 4.33 m

Resultant y component ≈ 13.526 m

Finally, we can find the magnitude and angle of the resultant vector:

Resultant magnitude = sqrt((Resultant x component)² + (Resultant y component)²)

Resultant magnitude = sqrt((12.428 m)^2 + (13.526 m)^2)

Resultant magnitude ≈ 18.015 m

Resultant angle = arctan(Resultant y component / Resultant x component)

Resultant angle = arctan(13.526 m / 12.428 m)

Resultant angle ≈ 48.413°

Considering the answer choices provided:

A) 2.1 m at an angle 66 degrees east of north.

B) 5.9 m at an angle 74 degrees north of east.

C) 2.7 m at an angle 74 degrees north of east.

D) 5.1 m at an angle 74 degrees north of east.

E) 4.8 m at an angle 74 degrees east of north.

The closest match to our calculated result is:

D) 5.1 m at an angle 74 degrees north of east.

Therefore, the resultant vector A + B + C is approximately 5.1 m at an angle 74 degrees north of east.

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