You have a parallel‑plate 5.13×10−6 F capacitor that is charged to 0.00967 C. While the capacitor is isolated, you change the plate separation so that the capacitance becomes 1.27×10−6 F. How much work do you perform in this process?

The acceleration of the car is now found to be 0.3 m/s². Option A

We have to recall that the acceleration is the rate at which the velocity is changed with respect to time. We know that we must take into account that the car is now moving on an inclined plane as we can see in the image attached to the question above for our scrutiny.

Now;

The force that pushes the car forward is the 8200 N force that have been stated in the question.

The component of the weight of the car that can be seen to be effective along the inclined plane is; 1800 Kg * 9.8 m/s^2 * sin 30

= 8820 N

Then we know that;

F - Wp = ma

F = constant force

Wp = effective component

m = mass

a = acceleration

Then;

a = F - Wp/m

a =  8200 N - 8820 N/1800 kg

a = 0.3 m/s²

Learn more about acceleration:https://brainly.com/question/12550364

#SPJ1

( a ) T = ( [tex]u_{y}[/tex] + √ [tex]u_{y}[/tex]² + 2 g H ) / g

T = Total time taken

g = Acceleration due to gravity

H = Height above the ground

u = 5 m / s

H = 1.9 m

g = 9.8 m / s²

[tex]u_{y}[/tex] = Y-component of initial velocity

θ = 90° ( Since she bounces straight up )

sin θ = [tex]u_{y}[/tex] / u

[tex]u_{y}[/tex] = 5 * sin 90°

[tex]u_{y}[/tex] = 5 m / s

T = ( 5 + √ 5² + ( 2 * 9.8 * 1.9 ) ) / 9.8

T = ( 5 + √ 62.24 ) / 9.8

T = 12.89 / 9.8

T = 1.32 s

( b ) v² = u² + 2 a s

v = Final velocity

u = Initial velocity

s = Displacement

Consider the y-components until the swimmer reaches the highest point of her motion,

[tex]v_{y}[/tex] = 0

a = - 9.8 m / s²

[tex]u_{y}[/tex] = 5 m / s

0 = 5² + ( 2 * - 9.8 * s )

19.6 s = 25

s = 1.28 m

Maximum height reached = 1.9 + 1.28

Maximum height reached = 3.18 m

( c ) V = √ [tex]V_{x}[/tex]² + [tex]V_{y}[/tex]²

V = Final velocity

[tex]V_{x}[/tex] = X-component of final velocity

[tex]V_{y}[/tex] = Y-component of final velocity

[tex]V_{x}[/tex] = [tex]U_{x}[/tex] ( Since there is no external force acting on x-direction )

cos θ = [tex]U_{x}[/tex] / u

[tex]U_{x}[/tex] = cos 90° * 5

[tex]U_{x}[/tex] = 0

[tex]V_{y}[/tex] = [tex]U_{y}[/tex] + a t

[tex]V_{y}[/tex] = 5 + ( - 9.8 * 1.32 )

[tex]V_{y}[/tex] = 5 - 12.94

[tex]V_{y}[/tex] = - 7.94 m / s

V = √ 0 + ( - 7.94 )²

V = √ 63.04

V = 7.94 m / s

Therefore,

To know more about Projectile launched from a height

https://brainly.com/question/14467028

#SPJ1

The cumulative distance travelled by the bird is 11.5 Km.

The speed of the jogger is 6.1 km/h.

Speed of the bird is 30.5 km/h.

The distance between the finish line and the jogger is 6.9 Km.

Now, as we know that the bird starts with the jogger and reaches the finish line early and then returns back to the jogger. Assuming no loss in velocity while change the velocity.

We can understand that the time period of travel of the jogger and the the bird is t.

As we know,

Let us say that the distance that the jogger coves in time t is x.

So the distance travelled by the bird is,

Distance travelled till finish line plus the distance between jogger and finish line.

Distance travelled by bird = 6.9+6.9-x

Now as we know,

Time = distance/speed.

For jogger,

t = x/6.1

For the bird,

t=6.9+6.9-x/30.5

We can write,

x/6.1 = 13.8-x/30.5

30.5x =13.8(6.1)-6.1x

x(30.5+6.1) = 84.18

x = 2.3 Km.

The total distance travelled by the bird is 13.8-x

The total distance travelled by bird = 11.5Km.

To know more about speed and distance, visit,

https://brainly.com/question/4931057

#SPJ9

A runner is jogging in a straight line at a steady v = 6.1 km/hr. When the runner is L = 6.9 km from the finish line, a bird begins flying straight from the runner to the finish line at v = 30.5 km/hr (5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner.

a. What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a "zero" length bird), travels in a straight line, and that it can turn without loss of speed. Answer in units of km.

The car is going at speed of 3.82 m/s at the end of the breaking period and the car traveled the distance from the start is 25.33 m.

The rate of change in an object's velocity concerning time is known as acceleration in mechanics. The vector quantity of accelerations. The direction of the net force that is acting on an object determines its acceleration.

Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector over a time interval divided by the time interval.

According to the question, the given values are :

Time, t₁ = 4.9 s

Time, t₂ = 1.60 s

Acceleration, a₁ = 1.4 m/s²

Acceleration, a₂ = -1.9 m/s²

Initial Velocity, u = 0 m/s

(a)

By the Equation of motion,

v = u + a₁t₁

v = 0 + (1.4)(4.9)

v = 6.86 m/s.

Now, the velocity of the car at the end of the breaking period :

v' = v + a₂t₂

v' = 6.86 + (-1.9)(1.60)

v' = 3.82 m/s.

(b)

s₁ = ut₁ + 1/2 a₁t₁²

s₁ = 0 + 1/2 (1.4)(4.9)²

s₁ = 16.8 m.

Now for the decelerated motion :

s₂ = vt₂+1/2 a₂t₂²

s₂= 6.86(1.60) + 1/2 (-1.9)(1.60)²

s₂ = 8.53 m.

So, total distance covered from the start, D :

D = s₁ + s₂

D = 16.8 + 8.53

D = 25.33 m.

To get more information about Acceleration :

https://brainly.com/question/12550364

#SPJ1

ANSWER

EXPLANATION

Parameters given:

Mass of the car, m = 1800 kg

Radius of arc, r = 21.4 m

(a) First, let us make a free body sketch of the problem:

where N = force exerted by the road on the car

W = weight of the car

v = velocity of the car

First, let us convert the given velocity to meters per second:

The centripetal force acting on the car as it moves in the semi-circular arc is given by:

The total forces acting on the car is:

This implies that:

That is the force that the road exerts on the car.

(b) At the maximum speed, the car will start to lose contact with the road at N = 0:

Substitute the values of g and r to solve for maximum speed, vm:

In km/h, that is:

That is the maximum speed that the car can have.

Metabolism is the chemical process by which your body breaks down the nutrients in foods to release energy for the cells in your body (Option 3).

The term Metabolism makes reference to all chemical reactions by which the body can obtain energy from foods by breaking them down into smaller elements. The breakdown of chemical bonds releases energy, which is used to generate Adenosine triphosphate, the energy coin of the cells.

Therefore, we can conclude that metabolism refers to the groups of pathways by which an organism breaks down nutrients such as proteins or carbohydrates in order to obtain energy for cells and perform diverse activities (e.g. growth, differentiation, etc)

Learn more about Metabolism here:

https://brainly.com/question/1490181

#SPJ1

The train cannot be stopped on time after the maximum possible braking force is applied.

The maximum acceleration achieved by the maximum braking force is calculated as follows;

F = ma

a = F/m

where;

a = (84,000) / (55,200)

a = 1.52 m/s²

The distance travelled by the train after the brake has been applied is calculated as follows;

v² = u² - 2as

where;

0 = u² - 2as

2as = u²

s = u²/2a

s = (26.8²) / (2 x 1.52)

s = 236.26 m

Thus, we can conclude that the train will not be stopped on time before reaching a distance of 184 m since it will travel a total distance of 236.26 m.

Learn more about braking force here: https://brainly.com/question/16964101

#SPJ1

Given

v = 343 m/s

ac = 5g

ac = 5*9.8 m/s^2

ac = 49 m/s^2

where,

v: velocity

ac = centripetal aceleration

Procedure

We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration ac; centripetal means “toward the center” or “center seeking”.

Formula

The minimum radius not to exceed the centripetal acceleration is 2401 m.

An electric light with a wire filament that has been heated until it glows is known as an incandescent light bulb. Wire Y be connected like 4th figure. Then  bulb 1 to be lit but not bulbs 2 and 3.

Wire Y be connected like 4th figure. Then  bulb 1 to be lit but not bulbs 2 and 3.

To learn more about Electric bulb refer to:

https://brainly.com/question/14124370

#SPJ13

Answer: Convection

Explanation: in its simplest form is the transfer of heat through circulating air and liquids, this works inside of a hot air balloon by heating the inside of the air with a burner located at the bottom of the balloon, this then makes the air inside of the balloon less dense or lighter than the cooler air on the outside, causing the balloon to float upwards.

The formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at

According to equations of motion,

v = u + at

v = Final velocity

u = Initial velocity

t = Time

a = Acceleration due to gravity

t = 3.2 s

a = 10 m / s²

v = 0 + ( 10 * 3.2 )

v = 32 m /s

Equations of motion are used to describe the position of a moving object in a constantly accelerated manner. The position can be described using acceleration, velocity, displacement and time.

Therefore, the formula that can be used to show that the speed of the stone when it hits the ground is 32 m/s is v = u + at

To know more about equations of motion

https://brainly.com/question/5955789

#SPJ1

The momentum of truck is 70,000kg.m/s

Newtonian mechanics, the linear momentum is the product of the mass and velocity of an object. It is a vector quantity, having a magnitude and a direction. If m is an object's mass and v is its velocity, then the object's momentum p is given as,

p = mv

We are given here,

Mass of the truck = m = 2000kg

Velocity of the truck = v = 35m/s

Therefore , to get the value of momentum p using the above equation ,

p = (2000kg) × (35m/s)

p = 70000 kg. m/s

Thus , the momentum of the truck can be given as 70,000kg.m/s

To know more about momentum

https://brainly.com/question/4062739

#SPJ1

Answer:

Pressure is defined as the force exerted on a surface divided by the area over which that force acts. Force is measured in units of Newtons (N), named after the famous scientist Isaac Newton. Area is typically measured in units of meters squared (m2).

Answer:

0 Newtons
Balanced

Explanation:

So for this problem, the arrows are a force, so it would be helpful to think of them as such. Since the block is being pushed to the right from the left with 4 Newtons of force, and the block is being pushed to the left and from the right with 4 Newtons of force too, the forces cancel out. Since the block isn't moving, it is balanced.

Tip: Arrows pointing to the left count as a negative force, arrows to the right count as a positive force. The net force is the total amount of force. For example, if there is a force to the left of 3 newtons, that would be represented with -3N. If a force to the right of 2 newtons is being applied to a block, the force would be 2N. Let's say that a block is being pushed to the left with 3 newtons of force and pushed to the right with 2 newtons, the net force would be -3N + 2N, which is -1N of force. -1 isn't zero, so the forces aren't balanced

1. Net force is Zero.

2. The forces are Balanced.

To learn more about : force

Ref :  https://brainly.com/question/388851

#SPJ13

In order to calculate the energy used per day by each appliance, let's multiply the power by the amount of time used in a day:

For the toaster oven, we have:

For the AC, we have:

For the bulb, we have:

So the total energy used in a day is:

Answer:

Velocity is a vector quantity, meaning it is dependent on both magnitude and direction of motion. It can be changed by

1. Changing its magnitude (i.e. speed)

2. Changing the direction of motion

3. Changing both magnitude and direction.

velocity can change the three ways are, It has the ability to change direction, speed up, or slow down.

To learn more about Velocity refer:

https://brainly.com/question/2574951

#SPJ9

Answer:

See below

Explanation:

Is that 600 WATT lamp ?   If so:

   power =  I V

      600 w   =  2 A   * v

       v = 300 v

Answer:

Sv = 1/2 a t^2         equation describing vertical distance traveled

Sv = 1/2 F / m * t^2       need to find t

Sh = .029m     horizontal distance traveled

.029 m = Vh t     time to travel 29 mm

t = 29E-3 m / 1.1E7 m/s = 2.64E-9 s

Sv = 1/2 * 5.1E-16 / 9.11E-31 * (2.64E-9)^2 = 5.1 / 2 * 2.64^2 / 9.11 * 10^-3 m

Sv = .00195 m = 1.95 mm

A heat engine converts 100.0 cal from a supply of 400 cal into work. Hence, the mechanical work done will be 25%.

A heat engine normally expels heat that can't be used to perform work after using energy supplied in the form of heat to do so. The study of the interactions between heat and work is known as thermodynamics. The operation of a heat engine is restricted by the first and second laws of thermodynamics.

The first law applies the principle of energy conservation to the system, and the second law establishes upper and lower bounds on the machine's potential efficiency and specifies the direction of energy flow.

According to the question,

Mechanical work done = 100/400

= 0.25 or,

Work done = 25%.

Hence, the mechanical work done will be 25 %.

To get more information about Heat Engine :

https://brainly.com/question/28034387

#SPJ1

There are 14025 x10^6 grains of sand in the sand box when it is full when there was present on average 55 grains in the box initially.

To know more about mm^3 units visit:

https://brainly.com/question/28626968

#SPJ9

The mathematical relationship between variables is suggested by a graph showing an L-shaped hyperbola that drops and flattens quickly is option A:  Inverse (simple).

When two variables change in an inverse relationship, they do so in the opposite directions: one increases while the other drops, and vice versa. Y declines as X rises in an inverse relationship. An inverse relationship always has a negative slope on a graph.

A function that can be altered into another function is said to be one that  can be seen as an inverse function or what we call the anti-function.

Therefore, Inverse operations are a class of mathematical operations where one operation cancels out the effects of another and it best shows  L-shaped hyperbola.

Learn more about inverse relationship from

https://brainly.com/question/28628342
#SPJ1

Answer:

B. Inverse-squared

Explanation:

I took the physics exam

Answer: The direction of the resultant can be determined by finding the angle that the resultant makes with either the north-south or the east-west vector. The diagram at the right shows the angle theta (Θ) marked inside the vector addition triangle. This angle theta is the angle that the resultant makes with west.

Explanation: hope this helps.

By the speed of 117.6 m/s you falling after 12.0 seconds.

Free fall formula,

v = -gt

v = velocity of free fall

g = acceleration due to gravity, Given = 9.8 m/[tex]s^{2}[/tex]

t = time, Given = 12s

Put these values in formula, v = -gt

v = - 12 × 9.8

v = 117.6 m/s.

Hence, by the speed of 117.6 m/s you falling after 12.0 seconds.

Learn more about free fall here:- https://brainly.com/question/12167131

#SPJ1

Kinetic energy has the following formula:

K.E. = 1/2 m v2, where m is the object's mass and v is its square    velocity. The standard unit of kinetic energy measurement is the Joule (J), which is equal to 1 kg/m2/s2.

Data point:  A discrete unit of information is called a data point. Any single fact is a data point, broadly speaking. The singular form of data, or datum, is roughly equal to the term "data point."

To know more about Kinetic and Potential Energy  refer:

https://brainly.com/question/18963960

#SPJ13

The square in Galileo’s equation means that for every given distance traveled by a falling body, the time taken is squared.

Galileo’s equation is an equation that states that the distance traveled by a falling body is directly proportional to the square of the time it takes to fall.

Mathematically, Galileo’s equation is given below:

∆x = ¹/₂ a * (∆t)²

where,

Galileo’s equation is used to calculate the distance traveled by a falling body under gravity for a given time.

It is also used to determine the time of fall from a given height.

Learn more about Galileo’s equation at: https://brainly.com/question/16887377

#SPJ1

The intensity increased by a factor of 4 if the distance from the source dropped by a factor of 2.

Light intensity and distance are inversely correlated; as the distance grows, light intensity decreases.

Sound intensity, also known as acoustic intensity, is the force carried by sound waves per unit area in a direction perpendicular to that region. The watt per square meter (W/m2) is the SI unit of intensity.

I = P/A, where I stands for intensity, P for power, and A for area, is the standard formula for intensity. 

To know more about Sound intensity visit:

https://brainly.com/question/15089336

#SPJ9

Answer:

One of the first things we need to know is the mass of the astronaut and equipment combined. Weight is given by the formula:

W = m x g, where m is the mass of the object(kg) and g is the gravitational acceleration on Earth's surface(9.8 m/s^2)

Knowing the weight of the astronaut and equipment, we get:

m = W / g

m = 2,156 N / 9.8 m/s^2 ( ^2 represents the power of 2)

m = 219.9 kg

Now, one last thing we need to know is the resulting velocity of the astronaut in the opposite direction. Once the astronaut throws the wrench from their equipment, according to the 3rd law of motion, the astronaut and the wrench will move in opposite directions because the astronaut pushed the wrench, and in return, the astronaut is pushed by the wrench. Having all these, we need to work with momentum.

p = m * v, where p is the object's momentum, m is mass and v is its velocity

let's call [tex]m_{a}[/tex] the astronaut's mass(combined with their equipment, including the wrench since it's initially part of the equipment)

[tex]m_{w}[/tex] = 5.0 kg is the wrench's mass

[tex]v_{wrench}{[/tex] = 5.0 m/s is the wrench velocity after it was thrown

The astronaut's momentum(before the thrown wrench): [tex]p_{before}=m_{a} * 0 = 0[/tex], because the astronaut's initial velocity is zero(including the equipment and wrench)

The astronaut threw the wrench. Therefore, we get the following momentum: [tex]p_{after} = m_{w} * v_{wrench} + (m_{a} - m_{w} ) * v_{after}[/tex]

The reason why we subtract the astronaut and equipment mass from the wrench's mass is that the astronaut and the equipment move independently from the wrench, therefore we exclude the wrench's mass.

The 3rd law of motion also implies that the total momentum of a system of objects interacting(colliding against one another) doesn't change. Therefore:

[tex]p_{before} = p_{after}[/tex]

Plugging all the values, we get:

5.0 kg * 5.0 m/s + (219.9 kg - 5.0 kg) * [tex]v_{after}[/tex] = 0

Solving the above equation, we get that the resulting velocity of the astronaut in the opposite direction is:

[tex]v_{after}=-8.596 m/s[/tex]

Note: The minus denotes the opposite direction the astronaut has after it was pushed by the wrench.