derive equation of motion s=ut+1/2at²​

Answer:

true

Explanation:

as long as it is the right conductive material

Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

To know more about acceleration refer here:

https://brainly.com/question/30660316#

#SPJ11

Answer: Cuts and Scrapes

Explanation:

If something happens you could be hospitalized. You could get an amputation

Variables are placeholders or symbols used to represent values that can change in a mathematical equation or programming context, allowing for dynamic and flexible manipulation of data.

Variables are symbols or placeholders that represent different values or quantities. They are used in mathematical and programming contexts to store and manipulate data.

For example, in an equation like y = 2x + 3, x and y are variables. x can take different values, and y will change accordingly.

In programming, variables can store various types of data, such as numbers, text, or Boolean values.

For instance, in a program, age = 25 assigns the value 25 to the variable age, allowing it to be used and updated throughout the program as needed.

More on variables can be found here: https://brainly.com/question/15078630

#SPJ1

Looking at your spectroscope, you see several discrete, clearly defined lines. The one possible source for this spectrum is fluorescent lamp.

What is fluorescent lamp?

A  fluorescent lamp is a low pressure mercury lamp or discharge bulb. When the light spectrum emitting from the fluorescent bulb fall on the spectroscope, it releases several discrete lines.

In this lamp, fluorescence source is used which produces visible light when it lights up.

Moreover, a fluorescent lamp alters electrical energy into chemical energy or light more efficiently than the incandescent lamp.

Simply put, fluorescent lamps are more efficient than other lamps and are mostly used for commercial and outdoor application as they use 75% less electricity.

If you need to learn more about spectrum click here:

https://brainly.com/question/23423065

#SPJ4

Explanation:

Work is said to be done when a force applied to a body cause the body to move over a distance.

Work done = Force * distance

W = fdsinθ

Given

Force = 250N

distance = 50m

θ = 8.0°

Substitute into the formula to and calculate work:

Work = 250*50 sin8.0°

Work = 12,500sin8.0°

Work = 1739.66 Joules

Hence the boat has done  1739.66 Joules of work on Matthew

The answer is D. 1.7 x 10^4 on Plato

Answer:

the answer is 1.09 speed

Answer:

2.00

Explanation:

The acceleration of free fall on the planet is given by 39.2 m/s².

The acceleration of free fall is the acceleration at which a body falling freely experiences the gravitational pull of a single planet. It is also known as a gravitational acceleration.

Value of  the acceleration of free fall on earth is 9.8 m/s².

The formula of acceleration of free fall on any planet is given by:

g₁ = GM/R²

As the extrasolar planet appears to be rockier and denser than earth. it is 16 times as massive as earth, but its diameter is only twice that of earth, the acceleration of free fall on any planet is given by:

g₁ = GM/R² = 16GMe/(2Re)² = 4 GMe/Re = 4g = 4× 9.8 m/s² = 39.2 m/s² .

Learn more about acceleration here:

https://brainly.com/question/12550364

#SPJ1

The following formula may be used to determine how large the electric field is within the aluminium wire:

E = J/σ

E, J, and are the electric field, the current density, and the conductivity of aluminium, respectively.

where A is the wire's cross-sectional area and I is the current.

The following formula may be used to get the cross-sectional area of the wire:

A = πr^2

where r is the wire's radius.

We obtain the following by substituting the aluminum's electrical conductivity value from the problem:

E = J/σ

learn more about aluminium wire here:

https://brainly.com/question/30899929

#SPJ4

Answer:

Explanation:idek

The net force acting on the body will be 250 N since there is significant friction also. Thus, the acceleration of the 50 Kg body is 5 m/s².

Friction is a kind of force acting on a body to resist it from motion. Thus, frictional force will always be negative. The frictional force acting on a body is the the product of the coefficient of friction and the normal force.

Here the normal force = 1250 N

coefficient of friction = 1.2

Frictional force = 1250 N × 1.2 = 1500 N

Net force = 1500 N - 1250 N = 250 N

Acceleration = net force/ mass

                     = 250 N/50 Kg

                     = 5 m/s²

Therefore, the acceleration of the body from rest is 5 m/s².

To find more on friction, refer here:

https://brainly.com/question/13000653

#SPJ2

As a result, it can be concluded that block C must have a mass of at least 39 kg in order for blocks A and B to continue sliding past one another when the system is freed from rest.

Relative motion between two things or materials is resisted by friction, a force. Surface roughness, deformations, and molecule adhesion are the causes of this resistive force.

Rolling friction, beginning friction, and sliding friction are the three types of friction that exist between the car's tires and the road, and they are all what allow us to operate cars at all.

To know more about Friction visit:

https://brainly.com/question/28356847

#SPJ4

The point that the axis of rotation passes through in the pencil of length 15.0 cm and mass 10.0 g is point B.

The free body diagram of the pencil that rotates about an axis perpendicular to the plane of the figure is shown in the image attached below.

N = Normal force

mg = Weight

C = Center of mass point

f = Frictional force

The weight of the pencil acts in vertically downward direction at the center of mass of the pencil, that is, at point C. Since, the pencil touches the surface at point B, the force due to weight of the pencil produces a torque and makes the pencil rotate about point B.

To know more about axis of rotation

https://brainly.com/question/21893931

#SPJ4

Answer:

1 d

2c

3b

4a

5b

6 I think the answer is x-ray

7c

8d

10d( Immigration)

Breaking the cart and frictional force from the road  will make a deceleration on the cart. The net force becomes in the opposite direction as the sign of acceleration is reversed.

Acceleration of an object is the measure of the rate of change in its velocity. It is a vector quantity and have both magnitude and direction. As the object is slowing down, the object is said to be decelerating.

If the cart is moving in a constant velocity it is having a constant magnitude but the acceleration is there if a change in direction. The deceleration is the opposite of the acceleration and the sign becomes negative thus not affecting the magnitude of   force.

Law of conservation of momentum states that, the total initial momentum of two colliding bodies is equal to the final momentum  of the bodies.

Find more on deceleration :

https://brainly.com/question/4403243

#SPJ1

i dont know

Explanation:

(a) The magnitude of the average force acting on the car to bring it to rest is 120,000 N.

(b) The horizontal (vx) and vertical (vy) components of this velocity is 9.66 m/s and 2.59 m/s respectively.

The magnitude of the force acting on the car is calculated as follows;

F = mv / t

where;

F = ( 1200 kg x 10 m/s ) / ( 0.1 s )

F = 120,000 N

The horizontal and vertical component of the velocity of the car is calculated as follows;

Vx = V cosθ

Vy = V sinθ

where;

Vx = 10 m/s  x  cos (15) = 9.66 m/s

Vy = 10 m/s x sin (15) = 2.59 m/s

Learn more about average force here: https://brainly.com/question/16200276

#SPJ1

Answer:

a. t = 2 s

b. vf = 20 m/s

Explanation:

a.

We can the second equation of motion to find out the time to reach the ground:

\(h = v_it + \frac{1}{2}at^2\)

where,

h = height = 20 m

vi = initial velocity = 0 m/s

t = time taken to reach the ground = ?

a = acceleration = 10 m/s²

Therefore,

\(20\ m = (0\ m/s)t+\frac{1}{2} (10\ m/s^2)t^2\\\\t^2 = \frac{20\ m}{5\ m/s^2}\\\\t = \sqrt{4\ s^2}\)

t = 2 s

b.

Here, we will use the first equation of motion to find the final speed:

\(v_f = v_i + at\\v_f = 0\ m/s + (10\ m/s^2)(2\ s)\)

vf = 20 m/s

The period for a small amplitude oscillation on a thin, straight, uniform rod 1.10 m long and 250 kg mass hangs from a pivot at one end = 2.09 s.

Harmonic vibration is the alternating motion of an object through an equilibrium point that has a fixed frequency and period. An example of harmonic vibration is a pendulum.

Period (T) is the time needed to do one vibration. Meanwhile, the frequency (f) is the number of vibrations that occur in one second. The period and frequency of the pendulum depend on the length of the string and the acceleration due to gravity, and are independent of the mass of the pendulum. The period and frequency of the pendulum can be expressed using the following equation:

T  = 2\(\pi\)\(\sqrt{\frac{L}{g} }\)

f = \(\frac{1}{2\pi }\)  \(\sqrt{\frac{L}{g} }\)

Where,

T = period (s)

f = frequency (Hz)

L = length (m)

g = acceleration of gravity (9.8 m/s²)

We have,

L = 1.10 m

So,

T = 2\(\pi\)\(\sqrt{\frac{L}{g} }\)

= 2\(\pi\)\(\sqrt{\frac{1.10}{9.8} }\)

= 2.09 s

Learn more about the period here: https://brainly.com/question/26524032

#SPJ4

Answer: You could tell if you made an error in your calculations by repeating the steps.

Speed of light is the fastest/maximum in vacuum which is equal to 3 × 10^8 m/s, therefore speed of light through any material equal to 4 × 10^8 m/s is physically and theoretically impossible and therefore incorrect.

Explanation:

For water at 65°C flowing through a smooth 75mm diameter, 100m long, horizontal pipe with a flow rate of 0.075 kg/s, the pressure drop in laminar flow is 48.7 kPa, while the pressure drop in turbulent flow is 7.3 kPa.

To calculate the pressure drop in laminar flow, we can use the Hagen-Poiseuille equation, which relates the pressure drop to the flow rate, pipe diameter, pipe length, and fluid properties. For laminar flow, the equation is simplified to only include viscosity and laminar flow coefficient. Using this equation, we can find the pressure drop to be 48.7 kPa.To calculate the pressure drop in turbulent flow, we can use the Darcy-Weisbach equation, which includes a friction factor that varies with the Reynolds number. Since the Reynolds number for this flow rate and pipe diameter is greater than the critical Reynolds number, the flow is turbulent. Using the Darcy-Weisbach equation, we can find the pressure drop to be 7.3 kPa. Therefore, we can conclude that the pressure drop is significantly less in turbulent flow than in laminar flow for this particular system.

To learn more about laminar flow:

https://brainly.com/question/15863555

#SPJ11

Electrical energy which is provided to the pump is transformed into gravitational potential energy and into sound in equal portions. Thus, the correct option is C.

The principle of conservation of energy establishes that the energy cannot be created nor it can be lost alone. Energy can only be transformed, based on the principle of conservation of energy, the mechanical energy of the system is established as formed by the kinetic energy and the different in potential energies.

In this case, the electrical energy of the system is transformed into kinetic energy to raise the water temperature, when it reaches a height level where its actual speed is zero, all the mechanical energy is transformed into gravitational potential energy.

Therefore, the correct option is C.

Learn more about Electrical energy here:

https://brainly.com/question/16182853

#SPJ1

Your question is incomplete, most probably the complete question is:

Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only 50\%50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.

What happened to the electrical energy provided to the pump?

a. It mostly transformed into gravitational potential energy, and a small portion transformed into sound.

b. It mostly transformed into sound, and a small portion transformed into gravitational potential energy.

c. It transformed into gravitational potential energy and into sound in equal portions.

d. It mostly transformed into sound energy and gravitational potential energy, and a small portion disappeared.

The average velocity of the object over the given intervals can be calculated using the position function s(t) = \(-18t^{2}\) + 54t. The average velocities are as follows: (a) -144, (b) -126, (c) -108, and (d) -18h + 36.

The average velocity of an object can be found by calculating the change in position divided by the change in time. In this case, we are given the position function s(t) = \(-18t^{2}\) + 54t.

(a) For the interval [1,10], the change in time is 10 - 1 = 9. To find the change in position, we evaluate s(10) - s(1):

s(10) = \(-18(10)^{2}\) + 54(10) = -1800 + 540 = -1260

s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36

Change in position = -1260 - 36 = -1296

Average velocity = Change in position / Change in time = -1296 / 9 = -144.

(b) For the interval [1,9], the change in time is 9 - 1 = 8. To find the change in position, we evaluate s(9) - s(1):

s(9) = -18(9)^2 + 54(9) = -1458 + 486 = -972

Change in position = -972 - 36 = -1008

Average velocity = Change in position / Change in time = -1008 / 8 = -126.

(c) For the interval [1,8], the change in time is 8 - 1 = 7. To find the change in position, we evaluate s(8) - s(1):

s(8) = \(-18(8)^{2}\) + 54(8) = -1152 + 432 = -720

Change in position = -720 - 36 = -756

Average velocity = Change in position / Change in time = -756 / 7 = -108.

(d) For the interval [1,1+h], the change in time is (1+h) - 1 = h. To find the change in position, we evaluate s(1+h) - s(1):

s(1+h) = \(-18(1+h)^{2}\) + 54(1+h) = -18(1 + 2h + h^2) + 54(1 + h) = -18 - 36h - \(18h^{2}\) + 54 + 54h = 36h - \(18h^{2}\) + 36

s(1) = \(-18(1)^{2}\) + 54(1) = -18 + 54 = 36

Change in position = (36h - \(18h^{2}\) + 36) - 36 = 36h - \(18h^{2}\)

Average velocity = Change in position / Change in time = (36h - \(18h^{2}\)) / h = 36 - 18h.

Therefore, the average velocities for the given intervals are (a) -144, (b) -126, (c) -108, and (d) 36 - 18h.

Learn more about average velocity here: https://brainly.com/question/28512079

#SPJ11

Explanation:

everything can be found in the picture

Answer:

The total displacement 560 m

Explanation:

 Given:

t₀ = 0 s

t = 25 s

V₀ = 10 m/s

V = 35 m/s

___________

D - ?

Acceleration:

a =  (V - V₀) / (t - t₀) = (35 - 10) / (25 - 0) = 25 / 25 = 1.0 m/s²

The total displacement:

D = V₀·t + a·t² / 2

D = 10·25 + 1.0·25² / 2 ≈ 560 m

Answer:

Explanation:

D is my answer

the velocity of the wave is 400m/s

The formula for the velocity of the wave is, V = w/k

where ,  w is the coefficient of t and k is the coefficient of x

now putting values we get, v = 200/0.5 = 400

Hence the velocity of the wave is 400 m/s

To learn more about Wave check here

https://brainly.com/question/20900241?referrer=searchResults

Answer:

current must flow and chemical energy must take place