A car P was decelerating at 2.0 m/s^2 when it passes a stationary car Q, and speed was 20 m/s. At the same car Q from rest and accelerated at 2.5 m/s² along the same straight road.
(i) Sketch the speed-time graph for cars P and Q. Mark appropriate values on both axes.
(ii) Find the time when car Q overtook car P.
(iii) How far was car Q from car P when car P came to a stop?

(b) Two vehicles P and Q start from the same point O and travel along lthe same road. The speed-time graphs of the two vehicles are as shown in the graph.
(i) What is the distance from O when P overtakes Q? (ii) Find the distance between the vehicles after 5.0 s. Which vehicle is ahead?​

The translational speed of the bowling ball is 6.28 m/s.

Translational speed refers to the motion of an object in a straight line. It is the speed at which an object moves from one point to another in space. In the context of a ball rolling down an incline, translational speed would refer to the speed of the ball at any given moment as it moves in a straight line down the incline.

To find the translational speed of the bowling ball after it has rolled to the bottom of the incline, we need to use the equation of motion:

[tex]v = sqrt(v0^2 + 2ax)[/tex]

where v is the final velocity, v0 is the initial velocity (0 in this case), a is the acceleration (9.81 m/s^2), and x is the distance traveled (2 m).

So,

[tex]v = sqrt(0 + 2 * 9.81 * 2)\\v = sqrt(39.24)\\v = 6.28 m/s[/tex]

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The amount of energy required to increase the temperature of 20 g of water from 283°C to 303°C is approximately 6.1 kJ.

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The greenhouse effect is the mechanism by which radiation from a planet's atmosphere warms the planet's surface to a certain temperature.

When heat from a planet's host star passes through its atmosphere and warms the planet's surface, the process is known as the greenhouse effect. The way that "greenhouse gases" trap heat near to the Earth's surface is known as the greenhouse effect. You may think of these heat-trapping gases as a blanket keeping the Earth warmer than it otherwise would be.

When Earth's atmosphere's gases capture the heat from the Sun, the process is known as the greenhouse effect. Earth becomes significantly warmer as a result of this process than it would be otherwise.

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A magnetic field is a field that explains how magnetism affects an item in space. The strength of the electric force at any particular place in space is what is known as the electric field. The rate at which a charge travels through a space is called current.

From electric charges and shifting magnetic fields, electric fields are created.

There will always be an electric field connected to an electric charge or a group of charges. Any charged object placed in this field will experience an electrostatic force as a result of how the field and the charge of the object interact. The force that would be felt by a positively charged particle if it were present at that precise location is represented by field lines.

Electric charges can move in response to a shifting magnetic field. Inducing electric currents in wires via this phenomenon is a typical practice in electric generators. By altering the magnetic field more drastically or by coiling the wire to expose more of it to the changing magnetic field, the induced current can be raised.

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The static values of circuit components, current rates, voltage sources, and voltage drops can all be verified using Ohm's Law.

A test instrument may indicate that resistance has dropped or voltage has increased, resulting in a high-voltage condition, if it detects, for instance, a higher than usual current reading. This can point to a supply or circuit problem.

A lower than usual current reading in a direct current (dc) circuit could indicate that the voltage has dropped or the circuit resistance has risen. Poor or loose connections, corrosion, and/or broken components are potential sources of higher resistance.

Electrical current is drawn by the loads of a circuit. Any type of component, including small electrical gadgets, computers, home appliances, or a sizable engine, can be a load.

Therefore, The static values of circuit components, current rates, voltage sources, and voltage drops can all be verified using Ohm's Law.

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Answer:

A

Explanation:

It should be noted that to minimize the transfer of heat to the roof, the recommendation of design would be : A. Choose the 2-cm-thick plastic because it will take longer to get warm on hot and sunny days.

The 2-cm-thick material is advised if you want to reduce heat transfer to the roof on hot, bright days.

The reason is because they are better insulators and take longer to warm up, thicker materials offer higher thermal resistance. In this situation, the 2-cm-thick plastic would take longer to warm up on hot, sunny days, lowering the amount of heat that is transferred to the roof and assisting in keeping it cooler.

The correct option is A.

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The best conclusion based on the given set of data is F. The period of a pendulum is not related to the mass of the bob

From the graph, it is clear that as the mass of the pendulum bob increases, its period remains relatively constant at about 1.18 seconds.

This suggests that the period is not related to the mass of the pendulum bob. The graph shows that the period remains nearly constant, rather than increasing or decreasing as the mass changes.

Therefore, it can be concluded that the period of a pendulum is not related to the mass of the bob.

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When we change the speed 0.200cm/s to km/yr​ we get 6.5 × 10⁴ km/yr.

What is Speed?

Speed refers to the rate at which something moves or operates, usually measured in units of distance per time, such as meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph). In physics, speed is defined as the magnitude of velocity, which is a vector quantity that describes the rate of change of an object's position. Speed is often used in many areas, such as transportation, sports, and technology.

We know that

1km = 1000m

1m = 100cm

and

1 year = 365day

1 day = 24 hours

1 hour - 60 min

1 min = 60 sec

With this, we have

[tex]$ \frac{200 \text{cm}}{1 \text{sec}} = \frac{200 \times 100\text{cm} \times 1000 \text{cm}}{60\ \text{sec}\times 60\ \text{sec}\times 24 \text{hours} \times 356 \text{days}}[/tex]

0.00065 km/yr​

Thus, When we change the speed 0.200cm/s to km/yr​ we get 6.5 × 10⁴ km/yr.

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The number of photoelectrons that can be removed from a golden spoon is (30W / c) / (e x 5.1 eV). The amount to start from the same spoon is (42W) / (e x 5.1 eV).

The work function of a material is the minimum amount of energy required to remove an electron from the material.

a) To find the number of photoelectrons removed from the spoon, find the energy deposited in the spoon during 1 second. With 600W of consumption, the spoon receives 5% of this energy, which is 0.05 x 600W = 30W.

To convert this to energy per second, we need to divide by the speed of light, c: E = 30W / c. To convert this energy to electron volts, divide by the charge of an electron, e: E_ev = E / e. Finally, to find the number of electrons removed, divide this energy by the work function of gold, 5.1 eV: n = E_ev / (5.1 eV) = (30W / c) / (e x 5.1 eV),

b) To find the number of photoelectrons removed from the spoon with the industrial laser, find the energy deposited in the spoon during 1 second. With 42W of laser power, the energy deposited in the spoon during 1 second is 42W. To convert this to electron volts, divide by the charge of an electron, e: E_ev = 42W / e. Finally, to find the number of electrons removed, divide this energy by the work function of gold, 5.1 eV: n = E_ev / (5.1 eV) = (42W) / (e x 5.1 eV)

Note: This is a simplified calculation and does not take into account the efficiency of the laser and the absorption of the spoon.

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Answer:

Attractive, repellent, electric fields so D

Explanation:

Attractive, repellent, electric fields.

The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (sometimes referred to as an E-field).

It can also refer to a system of charged particles' physical field. Electric charges and time-varying electric currents are the building blocks of electric fields.

Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attracting force to hold atoms' atomic nuclei and electrons together.

Therefore, Attractive, repellent, electric fields.

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Answer:

0.65 m/s NORTH

Explanation:

North is +, south is -

let V = velocity of the 0.12 kg ball AFTER the collision

Law of conservation of momentum (P = mv) states that total momentum before the collision must equal total momentum after the collision.

(0.10 kg)(9.6 m/s) - (0.12 kg)(7.6 m/s) = -(0.10 kg)(0.30 m/s) + (0.12 kg)(V)

                           Before                     →              After

0.96 kg·m/s - 0.912 kg·m/s = -0.03 kg·m/s + 0.12 kg(V)

0.048 kg·m/s + 0.03 kg·m/s = 0.12 kg(V)

0.078 kg·m/s = ·0.12 kg(V)

V = 0.078 kg·m/s / 0.12 kg = 0.65 m/s NORTH

A.  Light travels approximately 670,616,320 miles in an hour.

B.  Light travels approximately 16,094,718,080 miles in a day.

Light travels at a speed of 186,282 miles per second. To find out how far it travels in an hour, we can simply multiply this speed by the number of seconds in an hour:

Distance traveled in an hour = 186,282 miles/second x 3,600 seconds/hour = 670,616,320 miles/hour

Therefore, light travels approximately 670,616,320 miles in an hour.

To find out how far light travels in a day, we need to multiply the distance traveled in an hour by the number of hours in a day:

Distance traveled in a day = 670,616,320 miles/hour x 24 hours/day = 16,094,718,080 miles/day

Therefore, light travels approximately 16,094,718,080 miles in a day.

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Answer:

The student should hold his umbrella at an angle facing south-west.

Answer: 5. 1/2 fraction of a wave comes by each second. 6. 1/10 of the wave comes by each second 7. 3.

Explanation: 5. The formula for frequency is f = 1/t, T being period, so the frequency is 1/2.

Same thing with the 6th question, f=1/10

The 7th question asks about celerity, the wave celerity is  the speed c at which the wave moves in the x-direction, is given by c=L/T, with L being the wavelength and T being the period.

Therefore C= 6/3, C= 3.

Answer:fdxv

Explanation:

fdc

The spring needs to be compressed by 0.175 meters in order to store 20.0 J of elastic potential energy.

Elastic potential energy is the energy stored in an object when it is deformed or stretched due to an applied force. It is present in springs, rubber bands, and other elastic materials that can be stretched and then return to their original shape.

The amount of elastic potential energy stored in an object is directly proportional to the amount it is stretched or compressed, and is proportional to the square of the deformation. The formula for elastic potential energy is given by U = (1/2)kΔx^2, where U is the elastic potential energy, k is the spring constant, and Δx is the change in length of the object. When the force is removed, the stored elastic potential energy is converted into kinetic energy, causing the object to return to its original shape.

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A Type I error, also known as a false positive, occurs when a statistical hypothesis test rejects a null hypothesis that is actually true. For example, consider a medical test for a certain disease.

A Type II error, also known as a false negative, occurs when a statistical hypothesis test fails to reject a null hypothesis that is actually false. In the medical test example, a Type II error would occur if the test result suggests that the person is healthy when they actually have the disease.

Both Type I and Type II errors are harmful to research because they can lead to incorrect conclusions and decision-making.

A Type I error can result in unnecessary treatments or actions, while a Type II error can result in missed opportunities to identify and address a problem. These errors can negatively impact the validity of research and its real-world applications.

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The speed of  the bullet when it passes by the cliff on its way is V0 itself which is equal to h/t. The speed just before it strikes the grounds will be  √2gh.

Speed is a physical quantity measuring the distance travelled per unit time. It depends on the mass of the object as well some external factors such as friction, air resistance etc.

Here, the initial velocity of the bullet = V0

the speed of the bullet within a time t to pas the height of the cliff will be h/t.

Now, the kinetic energy of the ball just before it striking the ground is equal to its potential energy.

hence, 1/2 mv² = mgh

then v = √2gh.

If the bullet is instead fired downward with the same initial speed v0, then it is accelerating downwards then the speed  is √2gh + V0.

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Modern periodic table is created by Mosely and he classified elements based on their atomic numbers. The vertical columns in the table are called groups and the horizontal lines are called periods.

Periodic table is the classification of elements into different groups and periods. Groups are vertical columns in the table, containing elements with same number of valence electrons and similar chemical and physical properties.

Periods are horizontal rows in periodic table. From left to right the atomic number of elements increases by one. Lead is 82nd element in periodic table and it is placed in the 14th groups.

Metalloids are elements showing properties of both metals and non-metals. Metalloids are classified in group 14 as well in group 13.

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The total displacement of the  journey is 80 m.

Displacement is a vector quantity that describes the change in position of an object from its initial position to its final position in a given reference frame.

It is equal to the difference between the final position and the initial position of an object and is commonly used in physics and engineering to describe motion. Displacement is usually measured in units of length such as meters.

The graph can show us the that point of the highest displacement is 80m.

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The law of conservation of momentum states that in an isolated system, the total momentum of two or more bodies acting on each other remains constant unless an external force acts on them. Therefore, it cannot create or destroy momentum.

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A launch of one pod per minute would transport 240 passengers per hour, roughly equivalent to one jet plane per hour. The total  speed is 235 km/s2.

acceleration, rate at which velocity changes with time, in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down.

Motion on a circle is accelerated even if the speed is constant, because the direction is continually changing. For all other kinds of motion, both effects contribute to the acceleration.

Because acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is also a vector quantity. Acceleration is defined as the change in the velocity vector in a time interval, divided by the time interval.

Therefore,  A launch of one pod per minute would transport 240 passengers per hour, roughly equivalent to one jet plane per hour. The total  speed is 235 km/s2.

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The direction in which the 25 kg mass will move is to the Left. The correct option is A.

This is because the force pulling to the left is greater than that to the right.

The velocity of the mass after 1 second will be 0.4 m/s

The velocity of the mass after 2 seconds will be 0.8 m/s

The net force o the mass of 25 kg is given below:

Net force = 20 N - 10 N

Net force = 10 N

The velocity of the mass is given by the formula below:

Velocity = net force * time / mass

velocity after 1 second = 10 * 1 / 25

velocity after 1 second = 0.4 m/s

velocity after 2 seconds = 10 * 2 / 25

velocity after 2 seconds = 0.8 m/s

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The time that the  speed of the object increase by equal amount in equal times is 0 s to 2 s .

Uniform acceleration is a type of acceleration in which an object moves in a straight line and the magnitude of its acceleration remains constant over time. In other words, the object's velocity increases by an equal amount in equal time intervals.

In the case of uniform acceleration, the velocity of an object changes at a constant rate, making it a key concept in kinematics and the study of motion.

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For full negative cycle and some part of positive cycle, there is be a voltage drop across the load.

A diode is a semiconductor gadget that essentially switches current in a single direction. While significantly limiting current flow in the opposite direction, it permits easy flow in one direction.

In this given circuit, diode is placed such that the only positive half cycle of ac voltage can passes through it but an opposite potential also applied. Hence, for a certain level and upward the diode acts as short and for full negative cycle and some part of positive cycle, there is be a voltage drop across the load.

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The angular acceleration is 4.2 * 10^5 rpm^2.

Centripetal or angular  acceleration is the acceleration of an object moving in a circular path, directed towards the center of the circle.

It is equal to the square of the velocity of the object divided by the radius of the circular path. Centripetal acceleration is required to maintain the circular motion of an object and is provided by a force, such as tension or gravity, acting towards the center of the circle.

We know that;

α = ω2 - ω1/t

α = angular acceleration

ω2 and  ω1 final and initial; angular accelerations

t = time taken

We know that;

ω2  =  9.91×10^5 rpm

t = 2.35 min

α =   9.91×10^5 - 0/2.35

 = 4.2 * 10^5 rpm^2

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a. Time that the first player took to catch his opponent is 14.1 s after he makes up his mind to chase his opponent.

b. The player has traveled 31.8 m to catch his opponent.

According to uniform motion remains the same and the distance will increase with time. The formula to calculate distance

d = v × t

According to non-uniform motion, the speed will increase with time when the object has acceleration. The formula to calculate distance

d = (v₁ × t) + (0.5 × a ×t²)

Two players didn't move at the same time. The second player moves first. After 1.80 s the first player just move.

When the first player catches his opponent, the distance between the two is the same.

d first player = d second player

(v₁ × t) + (0.5 × a × t²) = v × t

(0 × t) + (0.5 × 0.32 × t²) = 2.0 × (t + 1.80)

0 + 0.16t² = 2.0t + 3.60

0.16t² - 2.0t - 3.60 = 0

multiply by 100

16.0t² - 200.0 - 360.0 = 0

divided by 8

2.0t² - 25.0t - 45.0 = 0

Using quadratic formula

The distance

d = (v₁ × t) + (0.5 × a × t²)

d = (0 × 14.1) + (0.5 × 0.32 × 14.1²)

d = 0 + (0.16 × 198.81)

d = 31.8 m

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At 1500°C, uranium would be in a molten or liquid state. As it cools to 900°C, it will solidify

The temperature of a substance determines its state of matter. At high temperatures, substances tend to be in a liquid or gaseous state, and as the temperature decreases, they solidify.

In the case of uranium, at 1500°C, it would be in a molten or liquid state because this temperature is higher than its melting point of 1132°C.

However, as it cools to 900°C, it will become solid because 900°C is below its melting point.

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