3) A rather large fish is about to eat an unsuspecting small fish. The big fish has a mass of 5kg and is
swimming at 8 m/s, while the small fish has a mass of 1 kg and is swimming at -4 m/s. What is the
velocity of big fish after lunch?

Watching Gladiators was a a favorite pastime of Roman civilization. It was a game based on the Roman martial ethics. It lasted for nearly thousands of years. Hence option C is correct.

An armed warrior known as a gladiator amused spectators in the Roman Republic and Roman Empire by engaging in bloody fights with other gladiators, wild animals, and condemned prisoners.

Some gladiators were unpaid volunteers who jeopardized their lives as well as their position in society and the law by participating in the fight. The majority endured severe education, were treated like inferiors in society, and were separated even in death.

Regardless of where they came from, gladiators served as a living example of Rome's martial virtues to onlookers, and by fighting or dying honorably, they may win adulation and widespread renown.

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The correct answer is as per graph displacement and acceleration is initially 0 m & 0 m/s^2, at middle 0 m & Infinity m/s^2 and finally 320 m & 5 m/s^2 respectively.

What is relation between velocity & acceleration with respect to displacement and time?

Velocity = Displacement / Time

Acceleration = Velocity / Time

Given data:

V1 = 40 m /s, t = 0 (Initial Velocity)

Displacement = 40 x 0 = 0 m,

Acceleration = 40 / 0 = 0 m/s^2

V2 = 0 m/s, t = 4 sec

Displacement = 0 x 4 = 0 m,

Acceleration = 0 / 4 = Infinity m/s^2

V3 = -40 m/s, t = 8 sec

Displacement = -40 x 8 = 320 m (in opposite direction)

Acceleration = -40 / 8 = 5 m/s^2

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Answer:

it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters

Explanation:

hope it helped

:)

Hypothesis, If the mass of the cylinder increases, then the temperature of the water will also increase because an increase in mass leads to greater potential energy, which is converted to thermal energy in the system.

According to the principle of conservation of energy, energy cannot be created or destroyed but can be transformed from one form to another. In this case, potential energy from the mass of the cylinder can be converted into thermal energy in the system. When the cylinder is lifted and submerged in the water, it possesses gravitational potential energy due to its elevated position.

As the cylinder is released and descends into the water, this potential energy is converted into kinetic energy, causing the water molecules to move and collide with higher energy. These collisions generate heat and increase the overall temperature of the water. By increasing the mass of the cylinder, more potential energy is stored.

As a result, there is a greater amount of energy available to be converted into thermal energy when the cylinder is released into the water. Thus, the temperature of the water is expected to increase as the mass of the cylinder increases.

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1. The net force of the parachute is 12 N

2. The plastic bag is moving towards the ground

1. How do I determine the net force?

Net force is defined as the difference between the forces acting on an object in opposite directions

Net force = Opposite force - force of pull

With the above information, we can determine the net force on the parachute as follow:

Net force = Force of gravity - Force of resistance

Net force = 20 - 8

Net force = 12 N

Thus, the net force is 12 N

2.  How do I determine the direction?

From the question given above, we were told that:

Since the force of gravity is greater than the force of air resistance, it means the bag is moving towards the ground

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Answer:

Explanation:

When an object's speed increases at a constant rate, we say it has constant/uniform acceleration.

Answer:

a) ΔV ’= 1.66 10¹ V= 16.6 V,  b)  U = 55.64 10⁻¹² J,  c)    U_f = 1.18 10⁻¹⁰ J

d)     W = 6.236 10⁻¹¹ J

Explanation:

Capacitance can be found for a parallel plate capacitor

          C = ε₀  \(\frac{A}{d}\)  

Let's reduce the magnitudes to the SI system

           A = 9.30 cm² (1 m / 10² cm) 2 = 9.30 10⁻⁴ m²

           c = 4.50 mm (1 m / 1000 mm) = 4.50 10⁻³ m

          Co = 8.85 10⁻¹²    9.30 10⁻⁴ /4.50 10⁻³

          Co = 1.829 10⁻¹² F

when the plates separate at d = 9.60 10⁻³ m, the capcitance changes to

          C = ε₀ \frac{A}{d_1}

          C = 8.85 10⁻¹² 9.30 10⁻⁴/9.60 10⁻³

          C = 8.57 10⁻¹³ F

a) the potential difference

            C =

since the capacitor is not discharged, let's look for the initial charge

            Co = \frac{Q}{ \Delta V}

             Q = C₀ ΔV

              Q = 1.829 10⁻¹² 7.80

             Q = 14.2662 10⁻¹² C

when the condensate plates are separated

             C = \frac{Q}{ \Delta V' }

              ΔV ’= Q / C

              ΔV ’= 14.266 10⁻¹² / 8.57 10⁻¹³

              ΔV ’= 1.66 10¹ V= 16.6 V

b) the stored energy is

             U = ½ C ΔV²

for initial separation

              U = ½ C₀ ΔV²

             U = ½ 1.829 10⁻¹² 7.80²

              U = 55.64 10⁻¹² J

c) The energy for end separation;

               U_f = ½ C DV’2

                U_f = ½ 8.57 10⁻¹³ 16,6²2

                U_f = 1.18 10⁻¹⁰ J

d) The work

as there are no losses, the work is equal to the variation of the energy

                W = ΔU = U_f -U₀

                 W = 1.18 10⁻¹⁰ - 55.64 10-12

                 W = 6.236 10⁻¹¹ J

Answer:

C

Explanation:

For every action, there is an equal or opposite reaction.

This is false

The true is:

For every action, there is an equal and opposite reaction.

Newton's first law talks about inertia. Specifically an object at rest will stay at rest, while an object in motion will stay in motion. This only changes when a new force is applied to either speed up the object up, slow it down, or bring it to a stop.

Newton's second law is the idea that mass times acceleration is the force applied. So it talks about the equation F = ma. The more mass you're dealing with, the more force is needed to accelerate it to the target speed.

The third law is the idea where if you push on something, then it will push back with the same amount of force. This principle is what allows rockets to maneuver in the vacuum of space. Essentially fuel is burned and ejected out of the end of the rocket, which in turns pushes it forward. The force pushing the stuff out the backend is the same amount pushing it forward.

At the end of 20 ns, the electron's velocity will be approximately 5.2 × 10⁶ m/s.

The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.

Electric charge or magnetic fields with variable amplitudes can produce an electric field. The attraction forces that keep together atomic nuclei and electrons at the atomic scale are brought on by the electric field.

Given that:

the electric field is 1.25 kN/C

So, acceleration of the electron: a = eE/m

= (1.6 × 10⁻¹⁹×1.25×10³)/(9.1×10⁻³¹) m/s²

= 2.6 × 10¹⁴  m/s².

Hence, after  the end of 20 ns the electron's velocity will be = at

= 2.6 × 10¹⁴ × 20 × 10⁻⁹ second

= 5.2 × 10⁶ m/s.

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Answer:

it is A

Explanation:

\(\\ \sf\longmapsto v=u+at\)

\(\\ \sf\longmapsto v=40+(16)(9)\)

\(\\ \sf\longmapsto v=40+144\)

\(\\ \sf\longmapsto v=184m/s\)

Explanation:

Answer:

The person standing in front of the wood stove feels warmer a lot quicker than the person standing the same distance from the fire pit because of the way heat is being transferred from the fire to the person.

In the wood stove, thermal energy from the burning wood is transferred to the surrounding air, which is then forced out of the stove by convection. This convection creates a steady flow of hot air that heats up the surrounding space, including the person standing in front of the stove. This is a very efficient method of heating because the hot air is forced to circulate and distribute the heat throughout the space.

In contrast, in the fire pit, the thermal energy from the burning wood is transferred primarily by radiation. This means that the heat from the fire travels through the air in straight lines until it comes into contact with an object, like the person standing in front of the fire pit. While radiation is an effective way of transferring heat, it is not as efficient as convection because it doesn't circulate the hot air throughout the space as efficiently.

Furthermore, the wood stove is enclosed and designed to contain the heat within the stove. This means that less heat is lost to the surrounding environment and more heat is directed towards the person in front of the stove. In contrast, the fire pit is open and exposed, which means that much of the heat is lost to the surrounding environment and less heat is directed towards the person standing in front of the fire pit.

Therefore, the wood stove is a more efficient and effective method of heating because it uses convection to circulate the hot air and contains the heat within the stove, resulting in a faster and more intense warming effect on the person standing in front of it.

The speed of the hoop when it has rolled halfway up the side of the pipe is √(v₀² - gR).

The speed of the hoop when it has rolled halfway up the side of the pipe is calculated as follows;

K.E = P.E

- ¹/₂mv₀²  + ¹/₂Iω² = (mgh₀ - mghf)

- ¹/₂mv₀²  + ¹/₂Iω² = (0 - 0.5mgh)        (hf = 0.5h) (half way up)

¹/₂Iω² = ¹/₂mv₀² - 0.5mgh  

where;

¹/₂(mr²)(vf/r)² = ¹/₂mv₀²  - 0.5mgh

¹/₂vf²  = ¹/₂v₀² - ¹/₂gh  

vf²  = v₀² - gh

vf = √(v₀² - gh)

where;

vf = √(v₀² - gR)

\(v_f = \sqrt{v_0^2 - gR}\)

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Answer:

input force is force applied to overcome the load and the output force is the force overcome by the effort

Explanation:

effort is equal to input and load is equal to the output

A 200 g hockey puck is launched up a metal ramp that is inclined at a 30° angle. The coefficients of static and kinetic friction between the hockey puck and the metal ramp are μs = 0.40 and μk = 0.30, respectively. The puck's initial speed is 3.8 m/s, Speed it will have when it slides back down to its starting point is 2.36 m/s

The resistance to motion of one object moving in relation to another is known as friction. It is not regarded as a fundamental force like gravity or electromagnetic, according to the International Journal of Parallel, Emergent and Distributed Systems(opens in new tab). The electromagnetic attraction between charged particles in two contacting surfaces, according to scientists, is what causes it.

using work energy theorem ,

change in kinetic energy = work done by frictional force

\(\frac{1}{2}\) m(\(x^{2}\)-\(y^{2}\)) =  μmghcos30°

where mass is m=200g

x is speed with which it slides back

y is speed at top of metal ramp=3.8 m/s

μ is coefficient of kinetic friction=0.3

g is gravity = 9.8m/\(s^{2}\)

h is height to which hockey puck is reached on metal ramp=1.18m

Substituting the values and solving for speed x,

x=2.36m/s

speed  it will have when it slides back down to its starting point is 2.36m/s

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b) The motion will be either created, stopped, or changed.

An unbalanced force is said to act on an object if the sum of all forces acting on it is non-zero. This means that some force is acting on the object, so the object experiences an acceleration equal to F = ma.

Force Imbalance:

Thus, there will be some change in motion in the object if multiple forces applied are unbalanced.

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Answer:b…………………………….

Explanation:

The speed of the artillery shell when it hits its target is 100 m/s.

Given:

Initial vertical displacement (y) = 200 m

Vertical displacement at 100 m in the air (y') = 100 m

Final velocity in the vertical direction (vy') = 0 m/s (at the highest point of the trajectory)

Using the equation for vertical displacement in projectile motion:

y' = vy^2 / (2g),

where g is the acceleration due to gravity (approximately 9.8 m/s^2), we can solve for the initial vertical velocity (vy).

100 m = vy^2 / (2 * 9.8 m/s^2),

vy^2 = 100 m * 2 * 9.8 m/s^2,

vy^2 = 1960 m^2/s^2,

vy = sqrt(1960) m/s,

vy ≈ 44.27 m/s.

Now, since the horizontal motion is independent of the vertical motion, the horizontal speed of the shell remains constant throughout its trajectory. Therefore, the speed of the shell when it hits its target is 100 m/s.

Hence, the speed of the artillery shell when it hits its target is 100 m/s.

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The magnetic field in the region is into the paper and has a magnitude of 60 mT and the tension in either wire is 0.096 N.

To find the tension in either wire, we can apply the equation for the force experienced by a current-carrying wire in a magnetic field.

The force experienced by a current-carrying wire in a magnetic field is given by the equation F = B * I * L * sin(θ), where B is the magnetic field strength, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.

In this case, the wire is suspended horizontally by two vertical wires, and the magnetic field is into the paper. Since the wire is horizontal, the angle between the wire and the magnetic field is 90 degrees, so sin(θ) = 1.

The force experienced by the wire due to the magnetic field is F = B * I * L.

Given:

Current (I) = 8.0 A

Magnetic field (B) = 60 mT = 60 * 10^(-3) T

Length of the wire (L) = 40 cm = 40 * 10^(-2) m

Substituting the given values into the equation, we get:

F = (60 * 10^(-3) T) * (8.0 A) * (40 * 10^(-2) m)

Simplifying the expression, we find:

F = 0.192 N

Since the wire is suspended by two vertical wires, the tension in each wire will be half of the total force. Therefore, the tension in either wire is 0.192 N / 2 = 0.096 N.

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Answer:

\(x=8m\)

Explanation:

Hello,

In this case, the most suitable kinematic equation for the calculation of the squirrel's displacement is:

\(x=v_ot+\frac{1}{2}at^2\)

Whereas the initial velocity is zero as it starts from rest, thus, we obtain:

\(x=\frac{1}{2}*1.0\frac{m}{s^2}*(2.0s)^2\\ \\x=8m\)

Best regards.

The time required for the block to travel or complete it's half-cycle is 0.05s

Data;

This is the maximum displacement of a body from it's mean position.

Assuming a system start from its mean position i.e mean initial position and go to A/2 towards right and then back to his mean position after going through -A/2 then it is said to have completed one cycle. If the block oscillate only between -A/2 to A/2 then it will complete half cycle then it's time period will be 0.05 sec.

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Answer:

A

Explanation:

Answer:

2m/s

Explanation:

If X stops Y takes momentum and it has the same velocity

After months of rumors, Cedar Point has provided an update on the condition of Top Thrill Dragster, its tallest & fastest roller coaster. Top Thrill Dragster carried riders 420 feet above the ground at top speeds of 120 mph.

In contrast to velocity, which describes the speed and direction of the an object's movement, speed is the rate of movement along a path. Alternatively, velocity is just a vector while speed is indeed a scalar quantity.

how fast something is. a change in position direction or speed for an object. How quickly anything moves depends on the distance traveled and the time required to cover that distance. Speed is indeed a scalar quantity, having only a direction and also no magnitude.

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Answer:

The answer is B: Conduction

Answer:

D

Explanation:

because the whole town needs to be powered through some sort of energy and kinetic energy means the movement of something

The technology in the picture represents the conversion of kinetic energy to electrical energy. So, the correct option is D.

Kinetic energy of a body is defined as the energy acquired by the body due to the virtue of its motion.

Here,

The given picture represents the dam system at a town.

We know, according to conservation of energy, energy can neither be created nor be destroyed, but can be transferred from one form to another.

In the dam system, the application of conservation of energy is implemented.

Dam consists of a water stream and turbines. The water stream is arranged in such a way that, when the water is running from a height, the water acquires an energy in the form of kinetic energy.

This kinetic energy of the water is converted to electrical energy with the help of the turbines, which are rotating continuously and thus electricity is produced.

Hence,

The technology in the picture represents the conversion of kinetic energy to electrical energy.

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