Answer:

**Answer:**

The initial momentum of the ball is 8 kg-m/s.

**Explanation:**

Given that,

Mass of the ball is 4 kg

Initial speed of the ball is 2 m/s

Force applied to the ball is 5 N for 3 seconds

It is required to find the initial momentum of the ball. Initial momentum means that the product of mass and initial velocity of the ball. It is given as :

So, the initial momentum of the ball is 8 kg-m/s.

To estimate the width of a valley, a climber starts a stopwatch as he shouts. He hears an echo from the opposite side of the valley after 1.0s. The sound travels at 340m/ s. What is the width of the valley?

Mudflows composed of soil, volcanic debris, and water can occur as the result of an explosive volcanic eruption. What are these mudflows called?

A student and his lab partner create a single slit by carefully aligning two razor blades to a separation of 0.530 mm. When a helium–neon laser at 543 nm illuminates the slit, a diffraction pattern is observed on a screen 1.55 m beyond the slit. Calculate the angle θdark to the first minimum in the diffraction pattern and the width of the central maximum.

A 1000-kg car rolling on a smooth horizontal surface ( no friction) has speed of 20 m/s when it strikes a horizontal spring and is brought to rest in a distance of 2 m What is the spring’s stiffness constant?

What does a planet need in order to retain an atmosphere? How does an atmosphere affect the surface of a planet and the ability of life to exist?

Mudflows composed of soil, volcanic debris, and water can occur as the result of an explosive volcanic eruption. What are these mudflows called?

A student and his lab partner create a single slit by carefully aligning two razor blades to a separation of 0.530 mm. When a helium–neon laser at 543 nm illuminates the slit, a diffraction pattern is observed on a screen 1.55 m beyond the slit. Calculate the angle θdark to the first minimum in the diffraction pattern and the width of the central maximum.

A 1000-kg car rolling on a smooth horizontal surface ( no friction) has speed of 20 m/s when it strikes a horizontal spring and is brought to rest in a distance of 2 m What is the spring’s stiffness constant?

What does a planet need in order to retain an atmosphere? How does an atmosphere affect the surface of a planet and the ability of life to exist?

model and the actual car?

A: 5:1

B: 1:50

C: 50:1

D: 1:5

**Answer:**

it is B 1:50

**Explanation:**

just did it on apex

The ratio that shows the relationship between the sizes of the model car and the actual car is 1:50. This is because the actual car is 50 times longer than the model car.

The relationship between the sizes of the **model car** and the actual car is represented by a ratio. To find this ratio, we can divide the length of the actual car by the length of the model car. So, 6 m / 0.12 m = 50. This means that the actual car is 50 times longer than the model car, or in other words, the model car is 1/50th the size of the actual car. Therefore, the correct ratio is **1:50**.

#SPJ3

**Answer:**

P = 2.91*10^{-24} kg m/s

size of atom hat lie in range of 1 to 5 Angstrom

Angstrom

**Explanation:**

A) MOMENTUM

p = mv

where m is mass of electron

so momentum p can be calculated as

p = 9.11*10^{-31} *3.2*10^{6}

P = 2.91*10^{-24} kg m/s

b) wavelength

where h is plank constant

so

c) size of atom hat lie in range of 1 to 5 Angstrom

d) from the information given in the question we have

we know that

[]

Angstrom

**Explanation:**

Using table A-3, we will obtain the properties of saturated water as follows.

Hence, pressure is given as p = 4 bar.

= 2553.6 kJ/kg

At state 2, we will obtain the properties. In a closed rigid container, the specific volume will remain constant.

Also, the specific volume saturated vapor at state 1 and 2 becomes equal. So,

According to the table A-4, properties of superheated water vapor will obtain the internal energy for state 2 at and temperature so that it will fall in between range of pressure p = 5.0 bar and p = 7.0 bar.

Now, using interpolation we will find the internal energy as follows.

= 2963.2 - 2.005

= 2961.195 kJ/kg

Now, we will calculate the heat transfer in the system by applying the equation of energy balance as follows.

Q - W = ......... (1)

Since, the container is rigid so work will be equal to zero and the effects of both kinetic energy and potential energy can be ignored.

= 0

Now, equation will be as follows.

Q - W =

Q - 0 =

Q =

Now, we will obtain the heat transfer per unit mass as follows.

= (2961.195 - 2553.6)

= 407.595 kJ/kg

Thus, we can conclude that **the heat transfer is 407.595 kJ/kg.**

The **heat transfer **is 227.4 kJ per kg of water.

Water, initially **saturated vapor **at 4 bar, fills a closed, rigid container. The water is heated until its temperature is 360°C. To determine the heat transfer in kJ per kg of water, we need to calculate the heat absorbed by the water as it reaches 360°C.

Using the specific heat capacity of **water **(4,186 J/kg°C) and the change in temperature (360°C - 100°C), we can calculate the heat transfer:

Qw = mw * cw * AT = (1 kg) * (4186 J/kg°C) * (360°C - 100°C) = 227,440 J = 227.4 kJ

Therefore, the heat transfer is 227.4 kJ per kg of water.

Heat transfer is the process by which thermal energy moves from one object or substance to another due to a difference in temperature. This fundamental phenomenon occurs through three main mechanisms: conduction, convection, and radiation. Conduction involves the direct transfer of heat through a material, such as metal. Convection is the transfer of heat through the movement of fluids (liquids or gases). Radiation is the emission of electromagnetic waves carrying heat energy. Understanding heat transfer is essential in various fields, including physics, engineering, and environmental science, as it governs temperature regulation, climate dynamics, and the functioning of countless technological devices.

#SPJ3

(b) How far is the probe from Earth when its batteries fail, as measured by mission control?

ly

(c) How far is the probe from Earth, as measured by its built-in trip odometer; when its batteries fail?

ly

**Answer:**

22.26 years

, 15.585 light years , 11.13 light years

**Explanation:**

a)

=

= 22.26 years

b)

0.7*c*22.26 years

=15.585 light years

c)

0.7*c*15.9

=11.13 light years

**Answer:**

no

**Explanation:**

Faisal will finish the race in ...

(72 m)/(6 m/s) = 12 s

In order to beat Faisal, Edward's average speed in those 12 seconds must exceed ...

(100 m)/(12 s) = 8 1/3 m/s

To achieve that average speed, Edward's acceleration must be ...

(8 1/3 m/s -6 m/s)/(12 s/2) = 7/18 m/s² ≈ 0.3889 m/s²

**Accelerating at only 0.2 m/s², Edward will not beat Faisal**.

_____

*Additional comment*

When acceleration is uniform, the average speed is reached halfway through the period of acceleration.

How much energy is required to rotate the propeller at 5800 rpm? Ignore the energy required to push the air.

The** moment of inertia **of the propeller is **0.0036 kgm² **and the energy required is **663.21 J**

Given that the mass of the propellers is **m = 0.040kg, **

and their length is** L = 0.30m**

The **moment of inertia **of a rod with the rotation axis at one end is given by :

so for 3 propellers:

I = 0.04 × 0.09

**I = 0.0036 kgm²**

Now, the frequency is given** f = 5800 rpm**

so anguar speed, ω = 5800×(2π/60)

**ω = 607 rad/s**

**Energy required:**

**E = ¹/₂Iω²**

E = 0.5 × 0.0036 × (607)² J

**E = 663.21 J**

Learn more about **moment of inertia:**

**Solution :**

Given :

Length of the propeller rods, L =0.30 m

Mass of each, M = 0.040 kg

Moment of inertia of one propeller rod is given by

Therefore, total moment of inertia is

Now energy required is given by

where, angular speed, ω = 5800 rpm

= 607.4 rad/s

Therefore energy,

= 664.1 J