How many megabytes of data can a 4.7 gigabyte DVD store

Answer:

Light ray will bend inwards and pass through the focus on principle axis after reflection

Explanation:

As we know that for curved mirror the equation is given as

[tex]\frac{1}{d_i} + \frac{1}{d_0} = \frac{1}{f}[/tex]

now here we know that initially light is travelling parallel to principle axis for given concave mirror.

So here the object position must be at very large distance from the mirror

[tex]d_0[/tex] = infinite

so here by above equation we will have

[tex]\frac{1}{d_i} + \frac{1}{infinite} = \frac{1}{f}[/tex]

now from this equation we can say

[tex]d_i = f[/tex]

so position of image will be at focus of mirror which means the parallel light will pass through focus after reflection from mirror.

A 100-watt light bulb uses 360,000 joules of energy per hour, calculated by multiplying the power (100 watts) by the time (3600 seconds) the bulb is illuminated.

To calculate the energy used by a 100-watt light bulb in one hour, you can use the relationship between watts, joules, and time. Since power (in watts) is defined as energy (in joules) per time (in seconds), we can rearrange this to find that energy is equal to power multiplied by time. For a 100-watt light bulb being on for one hour (which is 3600 seconds), the energy consumption would be 100 watts× 3600 seconds.

Therefore, a 100-watt light bulb uses 360,000 joules of energy per hour.

The formula used in calculating for values of work is given as:

W = F d

However on the above formula, the force is constant but i this case, it is changing. Therefore we make use of the general form with the integral notation: 
W = ∫F(x) dx

with limits of x from 0 to 25 since only half of the rope is be pulled

The equation for F (x) is equal to the product of mass density and length x:
F(x) = 0.5x 
Substituting this into the integral work equation:
W = 0.5∫x dx

W = 0.5(0.5) [x2^2 – x1^2]                  ---> x from 0 to 25

W = 0.25 [25^2 -0]

if an astronaut on a strange planet has a mass of 80 kilograms and a weight of 240 newtons, then the value of the acceleration due to gravity on this planet would be 3 meters per second².

It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another,

The acceleration due to gravity = The weight on the planet/mass of the astronaut

The acceleration due to gravity in the strange planet = 240/80

                                                                                         = 3 m / s²

Thus, the acceleration caused by gravity on a foreign planet would be 3 meters per second² if an astronaut there weighs 240 newtons and has an 80-kilogram mass.

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When your car breaks down, it is recommended to park where the vehicle can be seen for at least 200 feet in each direction. This is important for safety reasons, as it allows other drivers to see your parked car and avoid any potential collisions or accidents. By parking your car where it can be seen from a distance, you are also ensuring that emergency services or roadside assistance can easily locate and help you.

When your car breaks down, it is recommended to park where the vehicle can be seen for at least 200 feet in each direction.

This is important for safety reasons, as it allows other drivers to see your parked car and avoid any potential collisions or accidents.

By parking your car where it can be seen from a distance, you are also ensuring that emergency services or roadside assistance can easily locate and help you.

Final answer:

The magnitude of the spaceship's velocity is calculated using the formula for momentum (p = mv). With a momentum of 30,000 kg-m/s and a mass of 400 kg, the velocity of the spaceship is 75 m/s to the right.

Explanation:

To find the magnitude of the velocity of the spaceship, we use the formula for the momentum, which is the product of mass and velocity: p = mv where p is momentum, m is mass, and v is velocity. Given the momentum (p) as 30,000 kg-m/s and the mass (m) as 400 kg, we can rearrange the equation to solve for velocity (v): v = p / m.

Plugging in the values, the calculation for the velocity (v) will be: v = 30,000 kg-m/s ÷ 400 kg, which equals 75 m/s. Therefore, the magnitude of the spaceship's velocity is 75 m/s to the right.

Final answer:

By decomposing the initial velocity into horizontal and vertical components and applying the formulas for projectile motion, we deduced that the rock was thrown from a height of 21.68 meters above the ground.

Explanation:

To solve for the initial height from which the rock was thrown, we need to use the principles of projectile motion. First, we decompose the initial velocity into its horizontal (vx) and vertical (vy) components using trigonometry:

vx = v * cos(θ)

vy = v * sin(θ)

For a velocity of 8.50 m/s and a launch angle of 30°, the horizontal and vertical components are:

vx = 8.50 * cos(30°) = 7.36 m/s

vy = 8.50 * sin(30°) = 4.25 m/s

The horizontal distance travelled d is given by d = vx * t, where t is the time of flight. We can solve for t:

t = d / vx = 19.0 m / 7.36 m/s = 2.58 s

Now we'll use the vertical motion to find the initial height h. The formula for vertical displacement is:

y = vy * t - (1/2) * g * t2

Since the rock hits the ground, vertical displacement y equals the initial height h. Substituting vy, g, and t, we get:

h = y = 4.25 m/s * 2.58 s - (1/2) * 9.800 m/s2 * 2.58 s2

h = 10.97 m - 32.65 m = -21.68 m

Since we're only interested in the magnitude of the height and we know it's an upwards direction, the result is 21.68 m.

This result shows that the rock was thrown from 21.68 meters above the ground level.

The theory of punctuated equilibrium states that is a species appear in a fossil record, they will become stable over time and can show little changes in evolution as time goes by. An example would be the feline creatures. Although cats and tigers have a different structure in their body, the facial structure and the way they hunt are similar.

Answer:  

The theory of punctuated equilibrium is a theory of evolutionary biology that aims to explain the pattern of speciation, which is observed in the fossil records. It states that the organism is in the stasis, until a major changes cause evolutionary pressure, which leads to a rapid speciation until stability is again reached between the organism.

Example: A species of sea animals live, breed and dies from thousands of years, suddenly the sea level changes and animals adapt to that situation.

Answer:

decreases

Explanation:

The force with which the earth attracts any body towards its centre is called the force of gravity. It is also called as the weight of the body.

The formula of force of gravity is given by

[tex]F = m \times g[/tex]

where, m is the mass of the body and g be the acceleration due to gravity.

The force of gravity depends on the mass of the object and the value of acceleration of gravity at that place.

If the mass of the body decreases, the force of gravity also decreases.

Answer:

13

Explanation:

When two people, each weighing 690N, board the boat, they displace an additional 0.141 cubic meters of water. This is calculated using the principle of buoyancy, which equates the weight of the water displaced to the weight of the people added.

The question given is a classic example of a problem involving Archimedes' principle in Physics. The weight of the water displaced by a floating object is equivalent to the buoyant force acting upon that object. Considering that the two new people carry an additional weight of 2 * 690 N (1380 N in total), the extra volume of water they will displace when entering the boat can be calculated. In essence, the additional displaced water corresponds to the increase in the boat's weight when the two people board.

Since the weight of the water displaced is equivalent to the weight of the people added, and considering that the density of water is roughly 1000 kg/m³, the additional volume displaced (V) can be found by dividing the total weight (W) by the product of gravity's pull (g, roughly 9.8 m/s²) and water's density (ρ).

Therefore, the volume can be calculated as follows:

V = W / (g * ρ)

Substituting the known values, we get V = 1380 N / (9.8 m/s² * 1000 kg/m³) = 0.141 m³.

So, the two people displace an additional volume of 0.141 cubic meters of water when they get into the boat.

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Answer;

Dotted half note

The rhythmic note that has three beats is called a dotted half note.

Explanation;

A dotted note is a music note* of any length with a small dot after its note-head. A dotted half note is equivalent to 1 half note + a quarter note, or 3 beats.  

A dotted quarter note, on the other hand is equivalent to, 1 quarter note + an eighth note: 1 1/2 beats while a dotted eighth note = 1 eighth note + a sixteenth note: 3/4 beat

A dotted half note has the same time value as a dotted half rest. A half rest lasts for two beats while a dotted half rest lasts for 3 beats.

The rhythmic note that has three beats is called a dotted half note.

The duration of a note is indicated by its shape and the presence of additional symbols.

A dotted half note is one such note that represents a specific duration.

A half note typically receives two beats in common time  which means it is held for the duration of two quarter notes.

However, when a dot is added to the right side of a note, such as a half note, it extends its duration by half.

This means that a dotted half note lasts for three beats instead of the usual two beats of a regular half note.

Thus, the rhythmic note that has three beats is called a dotted half note.

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Body-centered cubic and face-centered cubic are types of cubic lattices with specific atom arrangements described in crystal structures.

Body-centered cubic (BCC) and face-centered cubic (FCC) are types of cubic lattices in crystal structures. BCC has atoms at the center of a cube and at the vertices, totaling two atoms per unit cell, while FCC has atoms at the corners and centers of the faces, resulting in four atoms per unit cell.

9x10^13 J is the energy released if a sample loses 0.0001 kg mass through radioactive decay.

As in step with the quantum theory, it isn't always feasible to predict whether a given atom will undergo radioactive decay or nuclear disintegration. Not unusual examples of radioactive decay consist of alpha decay, proton emission, double proton emission, beta decay, electron capture, and neutron emission.

Radioactive decay is the system via which a volatile atomic nucleus loses electricity by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common kinds of decay are alpha decay, beta decay, and gamma decay, all of which contain emitting one or greater debris.

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Answer:

To prevent the ignition of gasoline vapors.

Explanation:

A back fire is an explosion that occurs in the air intake system by a running internal combustion engine.

Back-fire flame arrestor is a safety equipment used to prevent the ignition of gasoline vapour.

It stops the flame to avoid an engine backfiring and contact with other fuels. This can led to fire and heavy damage if back fire flame arrestors are not used.

Final answer:

B. Its dust conducts electricity.

Explanation:

Using emery cloth for polishing the commutator of an appliance motor can generate conductive dust particles. When these particles come into contact with the commutator, they can cause short circuits or other electrical malfunctions, potentially damaging the motor. While option A, wearing the surface too much, could also be a concern, the primary reason to avoid emery cloth is the risk of conductive dust. Options C and D are not directly related to the electrical conductivity issue associated with emery cloth. Therefore, option B is the most appropriate choice to avoid potential electrical hazards during motor maintenance.

You should deflect the ball in order to maximize your speed on the skateboard.

Since this creates a larger impulse, you want to deflect the ball. Splitting it up into catching and throwing the ball may by something you can think of deflecting the ball. First, you need to catch the ball, which in turn would push you forward with some speed. (The speed we are talking about should obviously be equal to option A, where you catch the ball). Now, throw the ball back to him since these two processes are equal to deflecting the ball. Throwing a mass away from you would cause or enable you to move even fast.

Answer:

Speed refers to the distance an object travels per unit of time only, whereas velocity also indicates the direction of travel.

Explanation:

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