32) You are at the stern of a paddle boat and observe that the paddle wheel has a radius of 10ft and makes 15
revolutions per minute. What is the speed of the paddle boat with respect to the water?

As the friction is ignored, the speed of the child at the end of the slop is 10.71 m/s

Using the law of the conservation of energy, the mechanical energy is conserved.

At the highest position, her kinetic energy is zero, while at the end of the slop, the potential energy is zero.

Potential energy = PE = mgh

Kinetic energy = KE = 1/2 mv²

Where:

m = mass

g = acceleration due to gravity = 9.8 m/s²

h = height = 5.85 m

v = velocity

PE = KE

mgh = 1/2 mv²

v² = 2gh

v² = 2 x 9.8 x 5.85 = 114.66

v = 10.71 m/s

Hence, the speed of the child at the end of the slop is 10.71 m/s

Learn more about kinetic energy here:

https://brainly.com/question/30062621

#SPJ4

The time taken for the car to reach the given speed is 3.2 seconds.

The time of motion of the car is determined from the acceleration of the car which is calculated by applying Newton's second law of motion.

Mathematically, the formula for Newton's second law of motion is given as;

F (net) = ma

where;

The acceleration of the car is calculated from the net force acting on the car.

F (net) = F - Ff

where;

F (net) = 38,900 N - 34,000 N

F (net) = 4,900 N

Now, the acceleration of the car is calculated  by applying Newton's second law of motion as shown below;

a = F (net) / m

a = ( 4,900 N ) / ( 745 kg )

a = 6.58 m/s²

The time of motion of the car is calculated by applying the first kinematic equation as shown below.

v = u + at

where;

v = 0 + at

v = at

t = v / a

t = ( 21 m/s ) / ( 6.58 m/s² )

t = 3.2 s

Learn more about net force here: https://brainly.com/question/14361879

#SPJ1

Answer:

mature stage

Explanation:

This is the stage where.percipitation falls and a downdraft occurs it's the most active be stage hence thunder, lighting and hail

occur

The final speed of the truck is  6.92 m/s.

The motion takes 0.866 second.

The definition of force in physics is: The push or pull on a massed object changes its velocity.

Mass of the toy truck: m = 0.25 kg.

Force acting on it  = 5.0 N.

Frictional force acting on it = 3.0 N.

Hence, net force acting on the toy truck = 5.0 N -3.0 N = 2.0 N.

Acceleration of the it = force/mass = 2.0 N /0.25 kg = 8.0 m/s².

After moving 3.0 m, the final speed of it = √(2×8.0×3.0) m/s = 6.92 m/s.

Hence, time taken = final speed/time taken = 6.92 /8.0 = 0.866 second.

Learn more about force here:

https://brainly.com/question/13191643

#SPJ1

Answer:

The charge would be +1

Explanation:

Because Na is in the first group of the periodic table, one valence electron will be removed. Therefore, it will have a charge of +1.

Important Formulas:

[tex]w=Fd[/tex]

work(measured in joules) = force(measured in newtons) * distance(measured in meters)

[tex]p=\dfrac{w}{t}[/tex]

power(measured in watts) = work(measured in joules) / time(measured in seconds)

__________________________________________________________

Given:

[tex]F=45N[/tex]

[tex]d=3m[/tex]

[tex]t=5s[/tex]

[tex]p=?[/tex]

__________________________________________________________

Finding work:

[tex]w=Fd[/tex]

[tex]w=45\times3[/tex]

[tex]w=135J[/tex]

__________________________________________________________

Finding power:

[tex]p=\dfrac{w}{t}[/tex]

[tex]p=\dfrac{135}{5}[/tex]

__________________________________________________________

[tex]\fbox{p = 27 watts}[/tex]

Answer:

64.8 km

Explanation:

speed = distance/time

Distance = speed x time

(81 km)(1000 m/km) = 81,000 m

1 hr = 60 min

Distance = (81000 m/60 min)(48 min) = 64800 m = 64.8 km

(a) The speed at the bottom of the hill is 11.53 m/s.

(b) The maximum vertical height to which the box will rise on the opposite hill is 6.78 m.

The speed of the box at the bottom of the hill is calculated by applying the following kinematic equation as shown below.

v² = u² + 2gh

where;

v² = ( 9.87² ) + 2( 9.8 )( 1.81 )

v² = 132.89

v = √ ( 132.89 )

v = 11.53 m/s

The maximum vertical height to which the box will rise on the opposite hill is calculated by applying the principle of conservation of energy.

mgh = ¹/₂mv²

h = ( v² ) / ( 2g )

h = ( 11.53² ) / ( 2 x 9.8 )

h = 6.78 m

Learn more about speed at bottom hill here: https://brainly.com/question/18889696

#SPJ1

Answer:
In Newton's Cradle Demonstration, converts the potential energy of one ball into kinetic energy, which is passed down the line of other balls and results of swinging the last ball upward.

Explanation:
The balls in the middle do not swing, they do move, however, because they absorb some of the kinetic energy from the left swinging ball.

The right side exterior ball moves out but not with 100% of the kinetic energy, it receives less than 100% due to interference. However, energy is transferred from the outside left swigging ball to the opposite right end ball which then swings away.

The balls that are touching in the middle cannot conduct 100% of the kinetic energy. Then additionally, gravity affects the right side swinging ball so that the kinetic it does receive through transference is affected by gravity resistance and air resistance. Thus, it swings out with less energy momentum than the left side swinging ball had coming down.

The percent error for the student's calculated density of Al during the experiment is 5,56%

The accepted value of the density of aluminum is 2.7 g/cm3.

To calculate the percent error of the student's calculated density of aluminum, one must use the equation:

Percent Error = [Accepted Value - Measured Value] / Accepted Value × 100.

In this case, the percent error is

[2.7 - 2.85]/2.7 ×100 = -5.56%.

This means that the student's measured value was 5.56% lower than the accepted value. This indicates that the student's measurement was slightly lower than the accepted value, but still within an acceptable margin of error

Learn more about percent error:

https://brainly.com/question/28771966

#SPJ4

Answer:

A)  1200 W

Explanation:

First find I (current):

V = IR, so I = V/R

I = 120V/12Ω = 10 A

Now find P (power):

P = VI = (120V)(10A) = 1200 W

A concave mirror is also known as converging mirror because it converges the incident rays parallel to the principal axis to the focus of the mirror after reflection. Concave mirrors reflect light inward to one focal point

A concave mirror has an inward-curving reflective surface that faces away from the light source. Light is reflected inward by concave mirrors to a single focus point. Unlike convex mirrors, a concave mirror's created image exhibits a variety of picture types based on the object's distance from the mirror.

A concave mirror has an inward-curving reflective surface that faces away from the light source. Light is reflected inward by concave mirrors to a single focus point. Unlike convex mirrors, a concave mirror's created image exhibits a variety of picture types based on the object's distance from the mirror.

Learn more about Concave mirror here:

https://brainly.com/question/26505785

#SPJ4

Utilizing its metal radius of 186 pm, one sodium atom's volume, or v, is equal to 26965110.857pm3.

Sodium seems to be an element in the periodic table with the atomic number 11 and the symbol Na (derived from the Latin natrium). It is a delicate, silvery-white metal that is exceedingly reactive. Due to its placement in group one of the periodic table, sodium is very much an alkali metal. 23Na is the only stable isotope of it.

Alkali metal subgroup (Group 1 [Indeed is]) of the element element sodium (Na). The element sodium has a very delicate silvery-white.

volume of spherical sodium atoms,

V=4/3 πr³

Here,

volume = V

radius = r

The value of r is 186pm.

= (4/3) × (22/7) × (186pm)³

= (88/21)×6434856pm³

= 26965110.857pm³

To know more about sodium atom visit:

https://brainly.com/question/1703949

#SPJ4

The relative speed of a two bodies moving in the same direction is the difference between the speed of two bodies. Here, the  speed of Bolt relative to the train is 27 miles /hr

The speed of an object can be related to the speed of another moving object which can be of same direction or opposite direction. The speed of a body calculated with respect to the speed  another body is called the relative speed.

Speed is the measure of distance covered per unit time. The units of speed can be m/s, kilometer/hour, miles/hour etc.

Given that speed of the train = 150 miles/h

speed of Usain Bolt = 177 miles/h

Both the train and bolt are moving in the left to right direction. Then the relative speed of bolt with respect to the train is:

177 - 150 = 27 miles/h

Therefore, Bolt runs with a speed of 27 mils/h relative to the train.

To find more on relative speed, refer here:

https://brainly.com/question/14362959

#SPJ1

Suppose a family supper costs $60 and a gallon of gas costs $3.40. If the family buys 13 meals, they may purchase 60 gallons of gasoline.

Costs are also the dollar amount of purchases made for use by a company or other reporting entity of supplies, resources, labor, products, equipment, and other items.

The majority of operating expenses are expenses that depend more on time than they do on how much your company produces or sells. Rent and leasing charges, salary, energy prices, health, and repayments are a few examples of fixed costs.

Total budget = $984

Dinner cost = $90

Petrol cost = $3.40 per gallon

Number of meals = 13

Number of gallons of petrol = g

60(13) + 3.40g = 984

780 + 3.40 g = 984

3.40g = 984 - 780

3.40 g = 204

g = 204 / 3.40

g = 60.

To know more about costs visit:

https://brainly.com/question/30045916

#SPJ4

i. The speed of the ball immediately before it hits the ground is 10 m/s

ii. The time after the release of the clay blob is 1 s

iii. The height above the ground is 5.0 meters

iv. The speeds of the ball and the clay blob immediately before the collision are 10 m/s and 20 m/s respectively

v. The magnitude and direction of their velocity is (910 + m20)/(9+m) with upward directions.

The speed of the ball immediately before it hits the ground can be determined using the equation:

v^2 = u^2 + 2as

where v is the final velocity, u is the initial velocity (0 m/s), a is the acceleration due to gravity (10 m/s^2), and s is the distance fallen (5.0 meters).

Substituting these values in gives:

v^2 = 0 + 2(10)(5) = 100

v = sqrt(100) = 10 m/s

The time after the release of the clay blob at which the collision takes place can be determined using the equation:

s = ut + (1/2)at^2

where s is the distance fallen (5.0 meters), u is the initial velocity (0 m/s), a is the acceleration due to gravity (10 m/s^2), and t is the time.

Substituting these values in gives:

5 = 0 + (1/2)(10)t^2

t = sqrt(5/5) = 1 s

The height above the ground at which the collision takes place is the same as the initial height, H = 5.0 meters.

The speeds of the ball and the clay blob immediately before the collision can be determined using the equations:

v = u + at

where v is the final velocity, u is the initial velocity (0 m/s), a is the acceleration due to gravity (10 m/s^2), and t is the time.

For the ball, t = 1 s and v = 10 m/s

For the clay blob, t = 2 s and v = 20 m/s

Since the collision is perfectly elastic, the total momentum before the collision is equal to the total momentum after the collision, and the kinetic energy before the collision is equal to the kinetic energy after the collision.

The magnitude and direction of their velocity immediately after the collision is the same as their center of mass velocity,

vcm = (m1v1+m2v2)/(m1+m2) = (910 + m20)/(9+m) and it is directed upwards.

Therefore, the correct answers are as given above.

learn more about Velocity: https://brainly.com/question/24445340

#SPJ1

In general, the higher the initial speed of the car and the lower the slope, the farther the car will be able to coast up, but it is impossible to give a definitive answer without variables such as the slope and mass of the car.

If the work done by friction is negligible and the car is coasting with the engine disengaged, then the only force acting on the car will be gravity. This means that the car will slow down as it goes up the hill due to the force of gravity acting against its motion. The height of the hill that the car can coast up will depend on the slope of the hill and the mass of the car, as well as the initial speed of the car and the coefficient of rolling resistance. However, it is difficult to give a precise answer without knowing the specific values of these variables.

To learn more about gravity visit: https://brainly.com/question/2537310

#SPJ4

A 700 kg car that has stalled is being pushed by a group of people. The final velocity of the car will be 2.28 seconds if they push with a net force of 200 Newtons for 8 seconds.

The change in momentum (Δp ) is defined as the change in the product of an object's mass and velocity. A force is required to change the momentum of an object. The momentum of the item may change due to the applied force, as well as its direction.

Any moving object can have momentum because momentum is defined as mass in motion. The impulse of an item is equal to its change in momentum. Impulse is defined as a force multiplied by a time period. Instead of being the same as momentum, impulse is the change in momentum of an object.

Impulse = Impulsive force x Impact time

Impulse = 200N x 8s = 1600Ns

To calculate final velocity of car,

Impulse = change in momentum

1600 = 700 (v-0)

1600 = 700v

v = 1600/700

v = 2.28 m/s

To learn more about Impulse visit:

brainly.com/question/16980676

#SPJ1

The concentration of D+ and OD- ions for pure (neutral) D₂O is calculated to be [D+] = [OD-] = 2.98 × 10⁻⁸ M.

Given that,

Kw = 8.9 × 10⁻¹⁶

where, Kw is the equilibrium constant for the autoionization of water.

D₂O when undergoes ionization, it splits into D+ and OD- ions.

Kw can be written as,

Kw = [D+] [OD-] = x²

So, x = √(Kw) = √(8.9 × 10⁻¹⁶) = 2.9832 × 10⁻⁸ M

Thus, the required concentration of both the ions is equal and its value is equal to [D+] = [OD-] = 2.98 × 10⁻⁸ M.

The question is incomplete. The complete question is 'Deuterium oxide (D2O, where D is deuterium, the hydrogen-2 isotope) has an ion-product constant, Kw, of 8.9 x 10^-16 at 20 *C (degrees Celsius). Calculate [D+] and [OD-] for pure (neutral) D2O at this temperature.'

To know more about deuterium:

https://brainly.com/question/30114570

#SPJ4

Following the collision, the two carts' combined momentum is zero in magnitude.

Momentum can be defined as the force behind a body's motion. Momentum is measured by "mass velocity" since it depends on both the airspeed or the orientations of the body's motion. Energy is the result since work rate is a vector if mass is a scalar.

Momentum serves as the connection among a direction of motion, momentum, and direction. The result of any momentum change is force. Therefore, a difference in momentum is used to compute the force applying on the item.

Momentum of ball 1:

p1 = mv

=(2.0 kg) + (4.0 m/s)

= + 8.0kgm/s

Momentum of ball 2:

p2 = mv

= (1.0 kg) (-8.0" " m/s)

= - 8.0kgm/s

total momentum,

p = p1 + p2

=+8.0kgm/s + (-8.0kgm/s)

P =0

To know more about momentum visit:

https://brainly.com/question/24030570

#SPJ4

An atom in the ground state that requires the least amount of energy to remove its most loosely held electron is Bi (Bismuth).

Bismuth atom has 83 electrons and the shell structure is as 2.8.18.32.18.5.  An atom in which total energy of the electrons can not be lowered by transferring one or more electrons to different orbitals is called as ground-state atom. We can say that, in this case all electrons are in the lowest possible energy levels.

Ground state electron configuration of ground state gaseous neutral Bismuth is as shown here : [Xe].4f^14.5d^10.6s^2.6p^3.

To know more about ground state atom, refer

https://brainly.com/question/1968924

#SPJ4

The correct option is the third option that is we integrate the negative of the electric field along a path from i to f.

We can find the electrostatic potential at any point due to each individual charge by considering the other charges absent. We then add all the charges algebraically. Hence, the electric potential at a point due to a group of point charges is the algebraic sum of all the potentials due to individual charges. To find the change in the electric potential from point/to point f, we have the following options a. We find the ratio of the electric field to the distance between the points. b. We find the ratio of the distance between the points to the electric field. c. We integrate the negative of the electric field along a path from i to f. d. We integrate the negative of the electric field along a path from f to i. e. We differentiate the electric field with respect to distance along the path from i to f. Hence with this information we can consider that the correct option is the third option that is we integrate the negative of the electric field along a path from i to f.

Learn more about Electric potential:

brainly.com/question/12645463

#SPJ4

To solve this we must be knowing each and every concept related to velocity. Therefore, the missing terms we have to know is the initial velocity, distance and time taken.

It is a vector assessment of an object's rate of motion and direction of motion. As a result, in order to calculate velocity using this definition, we must be familiar with both magnitude and direction.

The original velocity V₁ = 27 m/s, and press the brakes and the car has an acceleration a = -8.4 m/s2 (the sign - indicates that the acceleration vector in the opposite direction of the velocity vector of the car). The missing terms we have to know is the initial velocity, distance and time taken.

Therefore, the missing terms we have to know is the initial velocity, distance and time taken.

To learn more about velocity, here:

https://brainly.com/question/13372043

#SPJ1

Free body motion with force and friction describes in Newton's second law

When a body is in motion with a force and friction, the motion of the body is described by Newton's second law, which states that the acceleration of an object is dependent on the net force applied to it and the mass of the object.

This means that the motion of the body is determined by the sum of all forces acting on it.

This includes both the force applied to the body, as well as the friction forces opposing it. In order for the body to remain in motion, the force applied must be greater than the friction forces acting against it.

To learn more about Newton's second law refer to:

https://brainly.com/question/13447525

#SPJ1

The electric potential in a region of space varies as v=by/(a2+y2) is derived to be (y2-a2)b/(a2+b2)^2.

Electric potential is the effort required to transport a unit charge from one point to another in the presence of an electric field.

Electric potential = E => dV/dx

                            E(x)  => d(by/a2+y2)/dx =>0

                           E(y)   => d(by/a2+y2)

                                   => (y2-a2)b/(a2+b2)^2

Maxwell's equations show that there is indeed an electric field in empty space. Maxwell was the first to demonstrate that the propagation speed of electromagnetic waves is comparable to that of light speed, leading to the conclusion that visible light and EM waves are identical.

Learn more about electric potential here:

brainly.com/question/9383604

#SPJ4

The evidence that newton's third law applies to electrostatic forces is given by Coulomb's law.

     b). The electric force is a repulsive force if the particles or both charges are positively or negatively charged. Charges oppose one another (like forces).

Learn more about the Coulomb's law.

brainly.com/question/506926

#SPJ4

The evidence observed from Newton's third law is that the electrostatic force of attraction exerted by two different charges will be equal in magnitude by acting opposite direction.

Newton's third law states that action and reaction are equal and opposite.

For different charges, say a positive charge (+ Q) and negative charge (-Q), the force of attraction exerted by both charges is equal and opposite.

   let the positive charge, +Q = Q₁

   let the negative charge, -Q = Q₂

From Coulomb's law, the force of attraction the two charges will exert on each other is equal and can be calculated as follows;

Thus, the evidence observed from Newton's third law is that the electrostatic force of attraction exerted by two different charges will be equal in magnitude by acting opposite direction.

For more such question on electrostatic forces.

https://brainly.com/question/17692887

#SPJ4

Answer:

Distance = 425 m

Displacement = 125 m

Explanation:

Distance =  total length traveled =  150 m + 275 m = 425 m

Displacement =  distance from point of origin (school) to end point (street corner) = 275 m - 150 m = 125 m

Note:  You walk to the gas station, turn around and walk in a straight line back to school then another 125 m to the street corner