What is the formula for Ohm's Law? What units are used to express current? What units are used to express potential difference?

Acceleration will increase as the angle of incline does, and as a result, force will as well.

The gravitational force acting on the cart increases as the slope of the incline increases, causing it to accelerate more quickly.The ramp's steepness will cause an increase in inclination. As a result, the acceleration increases as the inclination angle increases. This acceleration causes the object to descend with greater speed.

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Answer:

Bacteria

Explanation:

UV kills bacteria and its 8 letters

Equation of power in a electrical circuit is given as:

\( \bf P = I^2R\)

I → Current flowing through the circuit.

R → Resistance of the circuit

We need to calculate power when;

Current (I) = 0.02 A

Resistance (R) = 30 Ω

By substituting values in the equation, we get:

\( \rm \longrightarrow P = (0.02)^2 \times 30 \\ \\ \rm \longrightarrow P = 0.0004 \times 30 \\ \\ \rm \longrightarrow P = 0.012 \: W\)

\( \therefore \) Power in the circuit = 0.012 W

Answer:

Explanation:

You can drive at 60 miles per hour

D = 60 miles

t = 1 hour

Speed:

V = D / t = 60 / 1 = 60 mph

Answer:

The question has some probable errors, but I will illustrate how to solve a problem such as this.

Explanation:

The speed of a wave is given by Speed = (Distance)/(Time), or, alternatively, Speed = Wavelength x Wave Frequency

In this problem, we are given a speed of "3 x 10 m/s."  I suspect that the speed should have read 3x10^8 m/s, the speed of light.  This says the speed is 30 m/s.

The frequency reads "998 x 10% H2."  I can't guess what this was supposed to be, but 998 x 10% H2 means "99.8 H2."  That doesn't seem to have anything to do with wavelength.  Find the correct frequency, plug it into the equation with the correct speed, such as:

3x10^8 m/s = (9.98x10^2 cycles/sec)(Wavelength)

Wavelength = (3x10^8 m/s)/((9.98x10^2 cycles/sec) = 3.01x10^5 meters

Use the correct numbers, and you should be able to calculate the correct wavelength.

Answer:

Object A

Explanation:

Mass of an object= Volume × denstiy

Object having higher density will have greater mass

Next,

According to second law of Newton

Force= mass× acceleration

Force= mass× change is velocity/ time

For an equal amount of time, if change in velocity is equal then object with higher mass will have higher force. Hence, greater density, greater is mass and larger is the force.

The velocity with which the rock initially kicked if the cliff is 5 m high and the rock lands 7m from the base of the cliff is 6.93 m / s

s = ut + 1 / 2 at²

s = Distance

u = Initial velocity

t = Time

a = Acceleration

In vertical motion,

s = 5 m

u = 0

a = 9.8 m / s²

5 = 0 + ( 1 / 2 * 9.8 * t² )

t² = 1.02

t = 1.01 s

In horizontal motion,

s = 7 m

a = 0 ( Since velocity is constant )

7 = 1.01 u + 0

u = 7 / 1.01

u = 6.93 m / s

Therefore, the velocity with which the rock initially kicked is 6.93 m / s

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Answer:

C. a ball at the top of a mountain

Explanation:

It has more potential energy because it is the highest from the ground. The higher it is, the more potential energy it has.

Answer:

 θ = 64.5º

Explanation:

To find the angles of a vector with respect to some axis of a coordinate system, the tangent function is used.

           tan θ = \(\frac{y}{x}\)

where y is the opposite leg and x is the adjacent leg

in this case the angle is

        θ = tan⁻¹   \(\frac{A_y}{A_x}\)

let's calculate

        θ = tan⁻¹ \(\frac{15.9}{ 7.6}\)

        θ = tan⁻¹ 2.09

        θ = 64.5º

this angle is with respect to the positive pâté of the x axis

The required distance through which the 15.0 kg mass has to fall to give the same amount of kinetic energy to the drum on Mars is 8.08 meters.

According to the principle of conservation of energy, this kinetic energy is equal to the kinetic energy that the drum gains, which is given by,K = (1/2) Iω²

Here, I = moment of inertia of the drumω = angular velocity of the drum.

From the equation (1) and (2), we have,(1/2) mv² = (1/2) Iω²....(3)From the above equation (3), we get

h = v² / 2gwhere g is the acceleration due to gravity of Mars.

The velocity of the mass just before striking the drum can be found as,

Total energy at height, mgh = mgh + (1/2) mv² + (1/2) Iω²where,mgh = potential energy at height

mh = (15.0 kg)(9.81 m/s²)(1.0 m) = 147.15 J (potential energy at height)I = (1/2) MR²

= (1/2) (25.0 kg) (0.050 m)²

= 0.0156 kg·m² (moment of inertia of the drum)r = radius of the drum = 0.050 mv = velocity of the mass just before striking the drum

v = √(2gh + (Iω²) / m)v = √[(2 × 147.15 J + (0.0156 kg·m² ω²) / 15.0 kg]

At the bottom of the drop, all the potential energy is converted into kinetic energy.

Therefore, the kinetic energy of the mass when it strikes the drum is,

K = (1/2) mv²K = (1/2) (15.0 kg) [√(2gh + (Iω²) / m)]²K = (1/2) (15.0 kg) [√(2 × 9.81 m/s² × h + (0.0156 kg·m² ω²) / 15.0 kg)]²

Now, substituting the values in the above equation, we get:h = (2K / m g) - I ω² / (2 m² g)Put the given value of mass m and g of mars.

Then, the distance through which the 15.0 kg mass has to fall to give the same amount of kinetic energy to the drum is given by,h = (2 × 500 J / (15.0 kg) (3.71 m/s²)) - 0.0156 kg·m² ω² / (2 × (15.0 kg)² (3.71 m/s²))= 8.08 meters (approximately)

Hence, the required distance through which the 15.0 kg mass has to fall to give the same amount of kinetic energy to the drum on Mars is 8.08 meters.

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Answer:

20

Explanation:

force=work done÷distance

It is a true statement that the three categories that American Imperialism sought to enhance were political, military, and economic.

The term imperialism has to do with a situation in which a country that tends to be more powerful continues to control a smaller country owing to the depends of the smaller country on the larger country for aid even though it is fully independent.

We can see that imperialism continues around the world especially in the developing and the less developed countries and this has continued to be an object of intense debate in many quarters.

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The minus 12000 N force acts on the 1800 kg object for 1.95 seconds in order to bring it to a stop from an initial velocity of 13 m/s.

Stationary refers to a state of rest or lack of motion.

We can use the following kinematic equation to solve for the time (t) that the force acts on the object:

vf = vi + at

Where

Using Newton's second law, we can find the acceleration (a) of the object:

F = ma

Where

a = F/m = -12000 N / 1800 kg = -6.67 m/s^2 (the negative sign indicates that the acceleration is in the opposite direction of the force)

Substituting the values into the kinematic equation:

0 = 13 m/s + (-6.67 m/s^2) × t

Solving for t:

t = 13 m/s / 6.67 m/s^2 = 1.95 s

Therefore, the minus 12000 N force acts on the 1800 kg object for 1.95 seconds in order to bring it to a stop from an initial velocity of 13 m/s.

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Answer:

the velocity of the car is 30 m/s.

Explanation:

Given;

Centripetal force on the car, F = 900 N

mass of the car, m = 10 kg

diameter of the circular path, d = 20 m

radius of the circular path, r = 10 m

The velocity of the car is calculated as follows;

\(F = \frac{mv^2}{r} \\\\mv^2 = Fr\\\\v^2 = \frac{Fr}{m} \\\\v = \sqrt{\frac{900 \times 10}{10} } \\\\v = 30 \ m/s\)

Therefore, the velocity of the car is 30 m/s.

Answer:

Explanation: A bar of an unknown metal has a length of 0.975 m at 45°C and a length of 0.972 m at. 23°C.

A) The box slides for a distance of 10.23 meters before stopping.

B) The coefficient of friction at the stopping point is 0.432.

C) If the coefficient of friction were constant at 0.1, the box would slide for a distance of 10.84 meters.

A) The force of friction acting on the box is given by:

f = μmg,

where μ is the coefficient of friction, m is the mass of the box, and g is the acceleration due to gravity. The coefficient of friction varies linearly with distance past point P, and can be expressed as:

μ(x) = 0.1 + 0.04(x - 2),

where x is the distance from point P in meters.

The work done by the force of friction over a small distance dx is:

dW = f dx = (0.1 + 0.04(x - 2))mg dx.

The total work done by the force of friction from point P to the stopping point is the integral of dW over this distance range, which is given by:

W = ∫(0 to D) dW = ∫(0 to D) (0.1 + 0.04(x - 2))mg dx = (0.1mgD + 0.02mgD^2).

Using the work-energy theorem, we can equate the work done by the force of friction to the change in kinetic energy of the box:

W = ΔK = (1/2)mvf^2,

where vf is the final velocity of the box (zero, since it stops).

Solving for the distance D, we get:

D = vf^2 / 2(0.1mg + 0.02mgD) = (vf^2/2mg) / (0.1 + 0.02D).

Substituting the given values, we get:

D = (4.5^2 / 2*9.81) / (0.1 + 0.02D) = 10.23 m.

Therefore, the box slides for a distance of 10.23 meters before stopping.

B) To find the coefficient of friction at the stopping point, we can use the expression for μ(x) and substitute D = 10.23 m:

μ(D) = 0.1 + 0.04(D - 2) = 0.1 + 0.04(10.23 - 2) = 0.432.

Therefore, the coefficient of friction at the stopping point is 0.432.

C) If the coefficient of friction were constant at 0.1 throughout the rough section, the work done by the force of friction would simply be:

W = fD = 0.1mgD.

Using the work-energy theorem as before, we can equate this work to the change in kinetic energy of the box:

W = ΔK = (1/2)mvf^2.

Solving for D, we get:

D = vf^2 / 20.1g = (4.5^2 / 29.81×0.1) = 10.84 m.

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Answer:

The boat's acceleration is 4 m/s²

Explanation:

This question seeks to test the knowledge of acceleration and how to calculate acceleration when the speed is provided. Hence, the formula for acceleration would be used here.

Acceleration (m/s²) = speed (in m/s) ÷ time (in seconds)

Acceleration = 80 m/s ÷ 20 secs

Acceleration = 4 m/s² or 4 ms⁻²

The boat's acceleration is 4 m/s²

→ The acceleration is 8 m/s².

To answer this question you have to apply the Second Law of Newton:

\(\Large \text {$Force = Mass \times Acceleration$}\\\\\Large \text {$2000 = 250 \times Acceleration$}\\\\\Large \text {$Acceleration = 8m/s^2$}\)

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Answer:

Please find the answers in the explanation

Explanation:

In examination of any scientific observation, some experiments may be needed to be carried out.

When examining evidence, the investigators might want to be more careful examining chemical properties than physical properties because anything that involve chemical reaction are irreversible. While physical one can be reversible.

Also, reaction can easily take place when examining the chemical properties of some substances.

It is seldom for reaction to take place with physical one.

there can be some complications and danger with chemical properties but less complication and danger with physical one.

Therefore, the investigators will want to be more careful when examining evidence on chemical properties than physical properties due to the given reasons above.

500kg box slides down a frictionless plane at an angle of 60.0° the normal force on the box is approximately 2450 N.

The acceleration of the box down the plane is determined by the force of gravity pulling the box down the slope. To determine the magnitude of the acceleration, we first need to resolve the gravitational force into its component vectors parallel and perpendicular to the slope.

The force of gravity on the box is given by:

Fg = m*g

where m is the mass of the box and g is the acceleration due to gravity (9.8 m/\(s^2\)).

The component of the force of gravity parallel to the slope is given by:

Fpar = Fg*sin(60.0°)

Fpar = 500 kg * 9.8 m/\(s^2\) * sin(60.0°) ≈ 4286 N

The component of the force of gravity perpendicular to the slope is given by:

Fperp = Fg*cos(60.0°)

Fperp = 500 kg * 9.8 m/\(s^2\) * cos(60.0°) ≈ 2450 N

The net force down the slope is given by:

Fnet = Fpar

Fnet = 4286 N

The magnitude of the acceleration down the slope is given by:

a = Fnet/m

a = 4286 N / 500 kg ≈ 8.57 m/\(s^2\)

Therefore, the magnitude of the box's acceleration down the slope is approximately 8.57 m/\(s^2\).

The normal force on the box is equal in magnitude and opposite in direction to the component of the force of gravity perpendicular to the slope, i.e.,

Fn = Fperp

Fn = 2450 N

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They help your body produce vitamin D is true of ultraviolet rays. The correct option is b.

Ultraviolet (UV) rays are a form of electromagnetic radiation with wavelengths shorter than those of visible light. While all the options listed in the question describe various characteristics of different types of radiation, only option b is true for ultraviolet rays.

1. UV Rays: Ultraviolet rays have shorter wavelengths than visible light, ranging from about 10 to 400 nanometers (nm). They are categorized into three types: UVA (320-400 nm), UVB (280-320 nm), and UVC (100-280 nm).

2. Not Visible: Option a states that UV rays are visible, which is incorrect. UV rays are beyond the range of human vision and cannot be seen without specialized equipment.

3. Vitamin D Production: UVB rays have the ability to penetrate the skin and trigger a reaction that helps the body produce vitamin D. When UVB rays interact with a type of cholesterol in the skin called 7-dehydrocholesterol, it is converted into vitamin D₃ (cholecalciferol).

4. Televisions and Radios: Option c states that UV rays carry information to televisions and radios, which is incorrect. UV rays are not used for transmitting information in televisions or radios. Instead, they are used in different applications such as disinfection, tanning beds, and scientific research.

5. Toast Energy: Option d states that UV rays provide the energy that makes your morning toast, which is incorrect. The energy required to toast bread typically comes from electrical heating elements in toasters, not from UV rays.

In conclusion, option b is the correct statement about ultraviolet rays. They play a role in the production of vitamin D in the body when UVB rays interact with the skin. The other options do not accurately describe the characteristics or effects of UV rays. The correct option is b.

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Answer:

its D

Explanation:

i just got it correct on a. p. e. x. :)

Answer:

Linear magnification refers to the ratio of image length to object length measured in planes that are perpendicular to the optical axis. A negative value of linear magnification denotes an inverted image.

Explanation:

Answer:

i hope it help

Explanation:

stay happy and safe

The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is proportional to its energy by the equation E = h v or E=hnu

so

Radiation with a wavelength of 8.1 X 10^-8 m has the highest energy

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Solve the given problem as

Velocity is the speed and the direction of motion of an object. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.

A ball is thrown down from the height of 20m with initial speed 5 m/s. Initial velocity u = 5 m/s. Height, h = 20 m. Using the formula, h = ut + 1/2gt² Where, g is acceleration due to gravity = 9.8 m/s², we can calculate t.

20 = 5t + 1/2 × 9.8 × t²20 = 5t + 4.9t²

On solving this quadratic equation, t = 2.01 s (approximately). Therefore, the time taken by the ball to hit the ground is 2.01 s.

Just before it lands, its velocity is given by the formula v = u + gtAt t = 2.01 s, v = 5 + 9.8 × 2.01v = 24.19 m/s (approximately). So, the velocity of the ball just before it lands is 24.19 m/s.

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Answer:

so the answer is number one which is A

Answer:

When energy contained in coal is turned into heat, and then into electrical energy. As boiling water heated by the burning coal is cooled, steam forges from these cone-shaped cooling towers.