A trailer is pulling a car with a force of 900N on a level road. The car is moving at 70 km/h how much work is done by the trailer on the car in 15mm?​

Answer:

It is (B) Stimuli must be sensed in order to produce a response.

Explanation:

The highest energy, shortest wavelengths, and highest frequency are found in gamma rays.

An example of "electromagnetic" radiation is microwaved, which are waves of electrical and magnetic energy traveling across space together. There is a wide range of electromagnetic radiation, from very lengthy radio waves to very brief gamma rays.

Radiation with a wavelength shorter than visible light is known as ultraviolet light. If eye protection is not worn, UV exposure raises the risk of potentially blinding eye illnesses. UV radiation overexposure can cause major health problems, including cancer.

The waves are gamma rays (below 1 nm), x-rays (between 1 and 10 nm), infrared rays (between 700 and 105 nm), micro waves (between 105 and 108 nm), and radio waves (above 108 nm), in that order.

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The car's average speed is 69.55Km/hr.

The average speed of an object can be defined as the total distance traveled by it in a particular interval of time. this can be determined by dividing the total distance moved by the object by the time taken to move.

It is a ratio of distance in km and time taken by the object to travel in hours.

Hence:Distance D=233km

Time       T=3.35hr

Average Speed S=ΔD/ΔT                            

S=233km/3.35hr                            

S=69.55km/hr

Therefore car's Average speed is 69.55km/hr

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Answer:

Explanation:

according to the graph at B the potential energy of the particle is 2J

therefore we can use the kinetic energy equation to calculate the particle's velocity or speed.

\(E_{k} =1/2mv^{2}\)

2J= 1/2*1/2kg*v^2

8=v^2

v= 2√2 ms-1

Answer:

Work done by the bullet is 612.26 J.

Explanation:

mass of bullet, m = 0.5 kg

initial velocity of bullet, u = 50 m/s

coefficient of friction = 0.2

mass of block, M = 3 kg

let the final speed of the bullet block system is v.

use conservation of momentum

Momentum of bullet + momentum of block = momentum of bullet block system

0.5 x 50 + 3 x 0 = (3 + 0.5) v

v = 7.14 m/s

let the stopping distance is

The work done is given by change in kinetic energy of bullet

initial kinetic energy of bullet, K =  0.5 x 0.5 x 50 x 50 = 625 J

Final kinetic energy of bullet, K' = 0.5 x 0.5 x 7.14 x 7.14 = 12.74 J

So, the work done by the bullet

W = 625 - 12.74 = 612.26 J  

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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The initial volume of the liquid is 31.4 cm³. The volume coefficient of thermal expansion of the liquid is 0.002 per degree Celsius. A temperature increase of 109.5°C is needed for the liquid to rise to a height of 49cm.

The initial volume of the liquid can be found using the formula for the volume of a cylinder:

V = πr²h

where r is the radius (half the diameter), h is the height, and π is approximately 3.14. Plugging in the given values, we get:

V = π(0.5 cm)²(40 cm)

V = 31.4 cm³

The volume coefficient of thermal expansion (β) is defined as the fractional change in volume per degree Celsius change in temperature. It can be calculated using the formula:

β = ΔV/(VΔT)

where ΔV is the change in volume, V is the initial volume, and ΔT is the change in temperature. We can rearrange this formula to solve for ΔV:

ΔV = βVΔT

We know that ΔT = -10°C (a decrease of 10°C) and that the height decreased from 40cm to 37cm, or by 3cm. The change in volume can be found using the formula for the volume of a cylinder again, with the new height of 37cm:

ΔV = π(0.5 cm)²(40 cm - 37 cm)

ΔV = 0.59 cm³

Plugging in all the values, we get:

0.59 cm³ = β(31.4 cm³)(-10°C)

β = 0.002

To find the change in temperature needed for the liquid to rise to a height of 49cm, we can use the same formula as before, but solve for ΔT:

ΔT = ΔV/(βV)

We know that ΔV is the difference between the initial volume and the volume at the new height, which is:

ΔV = π(0.5 cm)²(49 cm - 40 cm)

ΔV = 6.86 cm³

Plugging in all the values, we get:

ΔT = 6.86 cm³/(0.002)(31.4 cm³)

ΔT = 109.5°C

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When an object is thrown at an angle from the horizontal, the path followed by the body is called the projectile motion. The duration in seconds that the object is above the height of 14 m is 4.698 s.

Speed is the time rate at which velocity is changing.

Vertical speed component is

V₀y = 52sin 30°= 26 m/s

Given is the height h=14m

Using second equation of motion,

S=ut+ 1/2 at²

Substituting the values, we get

14 = 26t - 4.9t²

4.9t² - 26t +14 =0  

Solving the quadratic equation, we get the time as

taking the positive sign, t =4.698 s

taking the negative sign , t = 0.6082 s

Thus, the duration in seconds that the object is above the height of 14 m is 4.698s.

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Answer:

The speed of sound varies with the material in which the waves travel.

Explanation:

knowledge and research

It can be concluded as per the given table that the speed of sound varies with the material in which the waves travel. The correct option is A.

Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

It has a dimension of time-distance. As a result, the fundamental unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.

According to the given table, it can be inferred that the material in which the waves travel affects the speed of sound.

Thus, the correct option is A.

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As the crew is adding one mile to the road each day, so the length of the road after 27 days is 79 miles.

A collection of skilled workers, including a supervisor, a construction manager, a distinct maintenance staff, and a team of specialist labourers, make up an efficient construction crew. Employees must actively participate in the prevention of hazardous situations as they have a significant role to play.

A road construction crew assists with new road and sidewalk creation, repairs to or improvements to current roads, and the burying of wires underneath the local roads. They are also known as vehicle restraining operators and highway maintenance operators.

The question is incomplete, find the complete question here

A construction crew is lengthening a road that originally measured 52 miles. The crew is adding one mile to the road each day. The length, L (in miles), after d days of construction is given by the following function. L = 52 + d. what is the length of the road after 27 days?

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Answer:

313.6N

Explanation:

Given parameters;

Mass of the body  = 50kg

Coefficient of friction = 0.64

Acceleration due to gravity  = 9.81m/s²

Unknown:

Minimum force needed to move the body = ?

Solution:

To move this body, the minimum force must overcome the frictional force. So, the value of force that equals to that of the frictional force will set the body in motion.

 Frictional force  = Umg

U is the coefficient of friction

m is the mass

g is the acceleration due to gravity

  Now insert the parameters and solve;

            Frictional force  = 0.64 x 50 x 9.8  = 313.6N

Answer:

kinetic energy is given as KE = (0.5) m v²given that : v = speed of the bottle in each case =  4 m/s when m = 0.125 kg KE = (0.5) m v² =  (0.5) (0.125) (4)²

Explanation:

Answer:

1. 0.5    2.  2    3. 3.75    4.  5

Explanation:

Option d (T₁ > T₂ > T₃) correctly describes the tension in the three rope system.    

Let's evaluate each tension.

Case T₃.

\( T_{3} - W_{3} = 0 \)

For the system to be in equilibrium, the algebraic sum of the tension force (T) and the weight (W) must be equal to zero. The minus sign of W is because it is in the opposite direction of T.          

\( T_{3} = W_{3} \)          

Since W₃ = mg, where m is for mass and g is for the acceleration due to gravity, we have:                

\( T_{3} = W_{3} = mg \)  (1)                                                                                                     Case T₂.

\( T_{2} - (T_{3} + W_{2}) = 0 \)    

\( T_{2} = T_{3} + W_{2} \)   (2)

By entering W₂ = 2mg and equation (1) into eq (2) we have:

\( T_{2} = T_{3} + W_{2} = mg + 2mg = 3mg \)

Case T₁.

\( T_{1} - (T_{2} + W_{1}) = 0 \)  

\( T_{1} = T_{2} + W_{1} \)    (3)

Knowing that W₁ = 3mg and T₂ = 3mg, eq (3) is:

\( T_{1} = 3mg + 3mg = 6mg \)        

Therefore, the correct option is d: T₁ > T₂ > T₃.

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I hope it helps you!

Correct answer: D. \(T_{1} > T_{2} > T_{3}\)

First, we must construct the Equations of Equilibrium for each mass based on Newton's Laws of Motion, then we solve the resulting system for every Tension force:

Mass m:

\(\Sigma F = T_{3}-m\cdot g = 0\) (1)

Mass 2m:

\(\Sigma F = T_{2}-2\cdot m \cdot g -T_{3} = 0\) (2)

Mass 3m:

\(\Sigma F = T_{1}-3\cdot m\cdot g - T_{2} = 0\) (3)

The solution of this system is: \(T_{3} = m\cdot g\), \(T_{2} = 3\cdot m\cdot g\) and \(T_{1} = 6\cdot m\cdot g\), which means that \(T_{1} > T_{2} > T_{3}\). (Correct answer: D.)

Answer:

C. Electrons are both gained and lost

Answer:

A. They are single-replacement reactions.

C.Electrons are both gained and lost.

Explanation:

.........................

(a) For the density function, the value of B is 2.5 g/cm³   and the value of C is 1.3 g/cm⁴

(b) The total mass of the rod is 1470 g.

The density of the rod is a function of distance and it is given as;

ρ = B + Cx

where;

ρ = 2.5 g/cm³  +  (19.5 g/cm³ ) / ( 15 cm ) x

ρ = 2.5 g/cm³  +  1.3 g/cm⁴  x

The total mass of the rod is calculated by integrating the function;

dm = ( B + Cx)(8 cm² ) dx

m = 8B + 8Cx

m = 8Bx  +  8Cx² / 2

m = ( 8 x 2.5 x 15 )  +  ( 8 x 1.3 x 15² ) / 2

m = 1470 g

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Answer:

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Explanation:

Answer:

The acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

(also, you have a typo. it's Newton, not Newtown)

Answer:

\(a=4\ m/s^2\)

Explanation:

Given that,

Initial speed of a body, u = 0

Final speed of the body, v = 20 m/s

Time, t = 5 s

We need to find the acceleration of the body. We know that the acceleration of an object is equal to the rate of change of velocity divided by time taken. So,

\(a=\dfrac{v-u}{t}\\\\a=\dfrac{20-0}{5}\\\\a=4\ m/s^2\)

So, the body's acceleration is equal to \(4\ m/s^2\).

Lorentz transformation is a mathematical framework that describes how the coordinates of an event in space and time change for two observers in relative motion.

Consider two inertial frames of reference, S and S', moving relative to each other along the x-axis with a constant velocity v. Let an event occur at position (x, y, z, t) in frame S, and let (x', y', z', t') be the corresponding position in frame S'.

The transformation equations for space and time are given by:

\(x' = γ(x - vt)\\y' = y\\z' = z\\t' = γ(t - vx/c^2)\)

where\(γ = 1/√(1 - v^2/c^2)\) is the Lorentz factor, and c is the speed of light.

These equations show how the coordinates of an event in one frame of reference are related to the coordinates in another frame of reference that is moving relative to the first frame. They are known as the Lorentz transformations and are a fundamental aspect of special relativity.

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Answer:Lack of experience.

Explanation:

Research from the CDC points to a few key reasons teen drivers are likely to be involved in car accidents: Lack of experience. Teen drivers have triple the fatal crash risk of older drivers, in part because they do not have the skills to recognize and avoid road hazards.

The  significant digits does each number have is

A = 6.2  is 2 significant digits

B = 3.1 significant digits

C = 22.0 is 2 significant digits

D= 0.075  is 2 significant digits

E = 64.93  is 4 significant digits

F = 0.539  is 3 significant digits

G = 4700  is 4 significant digits

H = 300 is 3 significant digits

I = 439.4  is 4 significant digits

J = 2.397  is 4 significant digits

K = 59.895 is 5 significant digits

L = 89.000 is 2 significant digits

The  answer with the correct number of significant digits.

2. A x B =  AB    2 significant digits

3. A x C = AC      2 significant digits

4. E÷D = E/D       1 significant digits

5. Fx H =  FH       2 significant digits

8. G÷I = G/I        1 significant digits

6. B÷K =  B/K       1 significant digits

9. A x F x J = AFJ     3 significant digits

7. Jx L =  JL            2 significant digits

10. Kx L x D = KLD      3 significant digits

11. A + B = +B         1 significant digit

12. C-F =  C-F        1 significant digit

13. J + K = J+K        1 significant digit

14. H + I =  H+I       1 significant digit

15. E - B =  E- B       1 significant digit

Significant digits  of a number in positional notation are described as digits in the number that are reliable and necessary to indicate the quantity of something.

We use Significant digits to show how precise a number is.

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The temperature increase of the ball will be 1.633 degree.

when the ball comes in contact with the pavement then its kinetic energy will be equal to potential energy of the ball before it was dropped and half of the KE goes to warming or heat generation.

So. heat energy = K.E/2 = mgh/2  (because K.E = P.E before dropping)

= 12 x 9.8 x 150/2

= 8820

Now, As we know that,

Q = m x C ΔT

where Q is the heat energy, m is the mass and C is the specific heat capacity and ΔT is the temperature change.

putting all the values we get

ΔT = 8820/(12 x 450) = 1.633 degree

Hence the temperature increase of the ball is 1.633 degree.

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Answer:

a) tires rubbing, b) the weight has a component parallel to the floor

c) he child's back support, d)  The tension of the rope and weight

Explanation:

In this exercise, we are asked to indicate the origin of the forces for the centripetal movement  parallel to the rope,  e) gravitational force

a) When a car turns, the centripetal force has two origins

* The tires rubbing against the road

* If the road has a lean angle, the component of the weight directed towards the center of the circle also contributes to the centripetal force.

b) the child in general has some degree of inclination with respect to the post, for which the weight has a component parallel to the floor that is responsible for the centripetal movement of the system

c) The bench rotates together with the carousel, so the child's back support is the response to the centripetal force

d) The tension of the rope has two components: the component perpendicular to the movement and the component of the weight (parallel to the rope) the difference of these two forces is the centripetal force

e) The gravitational force of the sun on the earth is what creates the centripetal motion

When a skater pulls in her arms, a kid starts up a merry-go-round from a stop, or a computer's hard disk slows to a stop when it is turned off, angular velocity is not constant.

Thus, There is an angular acceleration in each of these situations, in which changes. The angular acceleration increases with the rate of change. The rate at which angular velocity changes is referred to as angular acceleration.

The answer is that the air masses that generate tornadoes rotate, and their rate of rotation rises as their radii get smaller and angular velocity.

The skater begins her rotation by extending her limbs, then she pulls them in closer to her torso to increase the spin.

Thus, When a skater pulls in her arms, a kid starts up a merry-go-round from a stop, or a computer's hard disk slows to a stop when it is turned off, angular velocity is not constant.

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The rotational velocity or angular velocity of the sun is 2.5 x 10⁻⁶ rad/s.

The angular acceleration of the sun is 43.5 x 10⁻⁴ rad/s².

The angular momentum is 96.8 x 10⁴⁰kgm²/s.

Radius of the sun, R = 6.96 x 10⁸m

Mass of the sun, m = 2 x 10³⁰kg

Time period of the sun, T = 29 days = 2.51 x 10⁶s

Angular velocity is the rate of change in the angular displacement between two bodies or the pace at which an object revolves or rotates around an axis.

The rotational velocity or angular velocity of the sun is,

ω = 2π/T

ω = 2 x 3.14/2.51 x 10⁶

ω = 2.5 x 10⁻⁶ rad/s

The linear speed of particles on the outermost portion of the sun is,

v = Rω

v = 6.96 x 10⁸x 2.5 x 10⁻⁶

v = 1.74 x 10³m/s

The angular acceleration of the sun,

α = Rω²

α = 6.96 x 10⁸x (2.5 x 10⁻⁶)²

α = 43.5 x 10⁻⁴ rad/s²

The moment of inertia of the solid sphere, I = 2/5MR²

The expression for the angular momentum is given by,

L = Iω

L = 2/5 x 2 x 10³⁰ x (6.96 x 10⁸)² x 2.5 x 10⁻⁶

L = 96.8 x 10⁴⁰kgm²/s

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Answer: The displacement is 1 block.

Explanation:

Let's define:

The right is the positive side.

The left is the negative side.

Then if you start at position A, and you walk N blocks to the right, the new position is:

A + N

And if you start at position A, and you walk M blocks to the left, the new position is:

A - M.

In this case, we know that Kayla starts at -3 and she walks 5 blocks to the right.

Then her new position is:

-3 + 5 = 2

Now she walks 3 blocks to the left, then her new position is:

2 - 3 = -1

The displacement will be equal to the difference between the final position (-1) and the initial position (-2)

Then the displacement is:

D = -1 - (-2) = -1 +2 = 1

The displacement is 1 block.

The angle at which the light refracts when it moves from air into the crown glass is 23.3°.

Refraction is the bending of light as it passes through a medium with a different density. It occurs due to a change in the speed of light as it enters a different medium.

We can use Snell's law to solve this problem, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the refractive indices of the two media:

n1 sin θ1 = n2 sin θ2

where n1 and n2 are the refractive indices of the initial and final media, and θ1 and θ2 are the angles of incidence and refraction, respectively.

From the problem, we have:

n1 = 1.000293 (air)

n2 = 1.520 (crown glass)

θ1 = 25°

We can rearrange Snell's law to solve for θ2:

sin θ2 = (n1/n2) sin θ1

sin θ2 = (1.000293/1.520) sin 25°

sin θ2 = 0.385

Taking the inverse sine of both sides, we get:

θ2 = 23.3°

Therefore, the angle at which the light refracts when it moves from air into the crown glass is 23.3°.

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Figure B5.1 is a diagram showing a wave travelling along a string. The wave is propagating in the rightward direction, as indicated by the curved arrows.

Direction is a type of guidance that provides the recipient with specific instructions on how to proceed. Direction can involve information on where to go, what to do, or what to avoid. It could be used to provide instructions on a task, a journey, or an event. Direction could also be used to provide motivation and help someone stay focused on their goals. Direction can be provided verbally, through writing, or through body language. It can come from a supervisor, a teacher, or a parent. Direction is important in helping someone follow their path and achieve their goals.

The wave is depicted by a series of oscillations along the string, represented by the vertical lines. The amplitude of the wave is represented by the distance between the highest and lowest points of the oscillations. As the wave travels in the rightward direction, the oscillations move along the string, and the amplitude remains unchanged.

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The kinetic energy (KE) of an object is given by the formula:

KE = 1/2 * m * v^2

where m is the mass of the object and v is its velocity.

Given:

mass, m = 150 g = 0.15 kg (converting to kg)

velocity, v = 15 m/s

Substituting these values in the formula, we get:

KE = 1/2 * 0.15 kg * (15 m/s)^2

KE = 1/2 * 0.15 kg * 225 m^2/s^2

KE = 16.875 J (joules)

Therefore, the kinetic energy of the object is 16.875 joules.

Answer:

potential energy

Explanation: