a 50 g ball of clay traveling at speed v0 hits and sticks to a 1.0 kg brick sitting at rest on a frictionless surface.

A projectile is an object thrown into the air and subject only to gravity and, if applicable, air resistance. The time taken by disc C to reach its maximum height is approximately 1.53 seconds, and its maximum height above the ground is around 11.48 meters. The time from when disc C was thrown upwards until ball B hits the disc is roughly 1.29 seconds.

3.1 Explanation of the term projectile:

A projectile refers to an object that is launched or thrown into the air and is subject only to the forces of gravity and air resistance (if applicable). The motion of a projectile can be analyzed independently of its mass, shape, or any other physical property. The key characteristic of a projectile is that it follows a curved path known as a trajectory.

When a projectile is launched, it moves along a parabolic trajectory due to the combination of its initial velocity and the force of gravity acting vertically downward. The horizontal motion of a projectile remains constant and unaffected by gravity, while the vertical motion is influenced by the acceleration due to gravity.

The path of a projectile can be described mathematically by considering its initial velocity, angle of projection, and the acceleration due to gravity. Projectile motion finds applications in various fields, such as sports, engineering, and physics, where objects are launched or thrown.

3.2.1 Time taken by disc C to reach its maximum height:

To determine the time taken by disc C to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:

vf = vi + at

Where:

vf = final velocity (which is zero at the maximum height)

vi = initial velocity

a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)

t = time

Since the disc is thrown vertically upwards, its initial velocity is 15 m/s. We want to find the time it takes for the disc to reach its maximum height, so we'll use the equation and solve for time (t):

0 = 15 + (-9.8)t

Rearranging the equation, we get:

9.8t = 15

t = 15 / 9.8

Calculating this, we find:

t ≈ 1.53 seconds

Therefore, it takes approximately 1.53 seconds for disc C to reach its maximum height.

3.2.2 Maximum height above the ground reached by disc C:

To determine the maximum height reached by disc C, we can use another kinematic equation for vertical motion:

vf² = vi² + 2ad

Where:

vf = final velocity (which is zero at the maximum height)

vi = initial velocity

a = acceleration (in this case, acceleration due to gravity, -9.8 m/s²)

d = displacement (maximum height)

Since we know the initial velocity (vi) and acceleration (a), we can solve for the displacement (d), which represents the maximum height:

0² = 15² + 2(-9.8)d

Rearranging the equation, we get:

0 = 225 - 19.6d

19.6d = 225

d = 225 / 19.6

Calculating this, we find:

d ≈ 11.48 meters

Therefore, the disc C reaches a maximum height of approximately 11.48 meters above the ground.

Calculating the time from the moment that disc C was thrown upwards until the time ball B hits the disc:

To find the time it takes for ball B to hit disc C, we need to calculate the time it takes for both objects to reach the same height.

Since disc C was thrown upwards from the edge of the roof and ball B was shot vertically upwards from the foot of the building, we need to consider the additional height of the building (30 meters).

The time it takes for disc C to reach the ground is the same as the time it takes for ball B to reach a height of 30 meters above the ground.

Using the kinematic equation for vertical motion, we can calculate the time for ball B:

d = vit + 0.5at²

Where:

d = displacement (30 meters)

vi = initial velocity (40 m/s)

a = acceleration (acceleration due to gravity, -9.8 m/s²)

t = time

30 = 40t + 0.5(-9.8)t²

Rearranging the equation, we get:

4.9t² + 40t - 30 = 0

Solving this quadratic equation, we find:

t ≈ 1.29 seconds or t ≈ -5.82 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, it takes approximately 1.29 seconds from the moment that disc C was thrown upwards until ball B hits the disc.

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During an earthquake, it is important to take appropriate steps to ensure safety

(i) When you are in the classroom

Drop, Cover, and Hold On: Quickly drop to the ground, take cover under a sturdy desk or table, and hold on to it to protect yourself from falling objects and potential structural collapse.

Protect Your Head: If possible, use your arms to cover your head and neck to provide additional protection.

Stay Indoors: Remain inside the classroom until the shaking stops and it is safe to exit. Be prepared for aftershocks, which are smaller tremors that may occur after the main earthquake.

(ii) When you are out of danger:

Evacuate to Open Space: If you are no longer in immediate danger, move quickly to an open space away from buildings, trees, streetlights, and utility wires that may pose a risk of falling or collapsing.

Watch for Falling Debris: Be aware of your surroundings and watch out for any hazards such as falling debris, broken glass, or damaged infrastructure.

Stay Clear of Buildings: Avoid entering damaged buildings or structures as they may be unstable. Keep a safe distance until authorities confirm it is safe to enter.

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Answer:

The power delivered by the battery is 17.04 W

Explanation:

Power through a circuit is given as

P = IV    ....1

where P is the power

I is the current through the circuit

V is the voltage through the circuit

The voltage in a circuit is given as

V = IR    ....2

Let us take the value of each resistor as equal to R

when connected in series, the total resistance will be

\(R_{t}\) = R + R = 2R

If we assume constant voltage through the circuit, then from equation 2, the current in this case is

I = V/2R

If the resistors are connected in parallel, then the total resistance will be

\(\frac{1}{R_{t} }\) = \(\frac{1}{R}\) +

\(R_{t}\) = R/2

The current in this case will be increased since the resistance is reduced

I = 2V/R

comparing the two situations, we can see that the current increased when connected in parallel to a ratio of

\(\frac{2V}{R}\) ÷  \(\frac{V}{2R}\) =  

This means that the current increased 4 times

From equation 1, we can see that electrical power is proportional to the current at a constant voltage, therefore, the power will also increase by four times to

P = 4 x 4.26 = 17.04 W

Answer:

2.73 kJ

Explanation:

yan po I hope it's help po pa brainly na lng po

Let the circumference of the circle be 10L.

A moves at 10L/2 = 5L per hour

B moves at 10L/5 = 2L per hour

Therefore it takes 10L/(5L+2L) = 10/7 hours

Answer:

An induction is the process a new recruit goes through to be introduced to the company and their new role. ... Beyond the initial days, the induction programme continues for many months, so that the new employee can fully integrate into life in the company and settle into their role to become a valuable member of staff.

Explanation:

hope this help

pick me as the brainliest

Answer:

I got this question on Ap3x. The answer is Car C...I got it correct

Explanation:

This is because Car C is at the lowest point with the lowest amount of potential energy. Potential energy is stored at it's highest when it has the "potential" to fall, move, or etc. Car C seems to have gone farther down from the high point of the slope, meaning that most of the potential energy transformed into kinetic energy. All in all, Car C has the least potential energy. (Please give Brainliest, or not...your choice but this is the first question that I answered)

Option C. The heat absorbed or lost by a substance while it's changing state  correctly describes latent heat

Latent heat is the heat absorbed or lost by a substance while it is changing state.

The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.

For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.

Latent heat is not associated with a temperature change; rather, it's associated with a change of state.

For instance, the temperature of water remains at 100°C while boiling.

When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.

When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.

Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.

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Answer:it’s A. right for ape x

Explanation:

Based on data, digital waves are more reliable because they are less likely to change when copied (Option A).

A wave is a periodic distortion capable of traveling through a suitable media (either air or water).

In conclusion, based on data, digital waves are more reliable because they are less likely to change when copied (Option A).

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The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Answer: \(278\ Hz\)

Explanation:

Given

Distance between two speakers is 8 m

Man is standing 12 away from the wall

When the person moves 3 parallel to the wall

the parallel distances from the speaker become 4+3, 4-3

Now, the difference of distances from the speaker is

\(\Delta d=\sqrt{12^2+(4+3)^2}-\sqrt{12^2-(4-3)^2}\\\Delta d=1.85\ m\)

Condition for destructive interference is

\(\Delta d=(2n-1)\dfrac{\lambda }{2}=(2n-1)\dfrac{\nu }{2f}\\\\\Rightarrow f=(2n-1)\dfrac{v}{2\Delta d}\)

for second destructive interference; n=2

\(\Rightarrow f=(2\times 2-1)\dfrac{343}{2\times 1.85}=278.10\approx 278\ Hz\)

If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.

A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.

If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.

In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.

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The kinetic energy of the projectile that is shot is higher than the kinetic energy of the cannon that is recoiling.

In our situation, the bowling pin exerts an equivalent force in the opposite direction on the bowling ball when the bowling ball applies a force to it.

While lighter things have less momentum, massive ones have more momentum for a given speed. Because of this, stopping a loaded vehicle requires more force than stopping an empty one. Likewise, items that move quicker have greater momentum than those that move slower.

According to Newton's third law, every force applied to an item will result in an equal and opposite force being applied to the object applying the force.

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Answer:It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: reason it is a system of which supports the body weight and holds your organs in without such a system theyd fly around damaging them due to such the answer is exactly as said it supports the body weight the movement of your legs and holds you up and it creates blood cells from your bome maro

Answer: The answer is: It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: I have my ways ;>

Which metal is the hardest?

Copper

Lead

Nickel

Titanium

The number of turns in the secondary coil is 50 turns.

A transformer is a passive aspect that transfers electric energy from one electrical circuit to another circuit or a couple of circuits. A transformer is an electrical tool that uses electromagnetic induction to skip an alternating present-day (AC) sign from one electric-powered circuit to some other, often changing the voltage and electric-powered modern.

Relying on the power score and specification, energy transformers can similarly be categorized into three classes: Small strength transformers, Medium energy transformers, and huge electricity transformers.

The voltage in the primary or secondary coil of a transformer is proportional to the number of turns in the coil.

where V1, and N1 are the voltage and number of turns in the secondary coil respectively.
V2 and N2 are the voltage and number of turns in the primary coil respectively.

Hence, V1/V2 = N1/N2

        =6/240 = N1/2000

        = N1 = 50 turns.

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The acceleration of a motorcycle that accelerates from rest (0m/s) to 80km/h in 4s is 5.56m/s².

Acceleration is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).

The acceleration of a body can be calculated using the following formula;

a = (v - u)/t

Where;

According to this question, a motorcycle accelerates from rest (0m/s) to 80km/h in 4s. The acceleration can be calculated as follows:

a = (22.2222 - 0)/4

a = 5.56m/s²

Therefore, 5.56m/s² is the acceleration of the motorcycle.

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Answer: you have to divide and multiple fam

Explanation:

The near point of a human eye is about a distance of 25 cm.

The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.

This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.

The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.

In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.

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Consumer Price Index vary over the course of a business cycle It changes according to the desires of the consumers and access to lower-priced goods.

Based on the provided text, the Consumer Price Index (CPI) changes according to the desires of the consumers and access to lower-priced goods. The text mentions that consumers shift their purchases toward products that have fallen in relative price. The objective of the CPI is to calculate the change in the amount consumers need to spend to maintain a constant level of satisfaction.

The passage specifically states that the CPI does not assume that consumers substitute less desirable goods for more expensive ones. Instead, it acknowledges that consumers may move up within a category if the price of a lower-priced item rises more than that of a higher-priced item.

For example, within the beef steaks category, consumers are assumed to move up from flank steak to filet mignon if the price of flank steak rises by a greater amount or falls by less than filet mignon prices.

Therefore, the CPI takes into account consumer preferences and the availability of lower-priced goods. It reflects changes in prices and consumer behavior over the course of a business cycle, considering how consumers adjust their purchasing decisions based on price fluctuations and their desire for maintaining a constant level of satisfaction.

In summary, the CPI varies over the course of a business cycle based on consumer desires and access to lower-priced goods, rather than the availability of goods produced by businesses or the availability of specific items priced the highest.

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Answer:

0.6 m/s

Explanation:

2Hz = 2^-1 = 2 /s

30cm = .3m

Velocity is in the units m/s, so multiplying wavelength in meters by the frequency will give you the velocity.

(.3m)*(2 /s) = 0.6 m/s

We have that the Time  is mathematically given as

t=0.33h

From the question we are told

Generally the equation for the Time   is mathematically given as

\(t=\frac{d}{va+vb}\\\\Therefore\\\\t=\frac{12}{30+6}\)

t=0.33h

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The electric field E at a point in space is defined as the gradient of the electric potential at that point, which is the negative of the rate of change of the potential with respect to position. In this case, the gradient of the electric potential V can be found by taking the derivative of V with respect to x: dV/dx = 6 - 8x

The magnitude of the electric field at the point (3,0) is then given by the magnitude of the gradient at that point:

E =|dV/dx| = |6 - 8x| = |6 - 8(3)| = |-18| = 18 Volts/meter. So the magnitude of the electric field at the point (3,0) is 18 Volts/meter.

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Answer:

Explanation:

Charge on uranium ion = charge of a single electron

= 1.6 x 10⁻¹⁹ C

charge on doubly ionised iron atom = charge of 2 electron

= 2 x 1.6 x 10⁻¹⁹ C = 3.2 x 10⁻¹⁹ C

Let the required distance from uranium ion be d .

force on electron at distance d from uranium ion

= 9 x 10⁹ x 1.6 x 10⁻¹⁹ / r²

force on electron at distance 61.10 x 10⁻⁹ - r from iron  ion

= 9 x 10⁹ x 3.2 x 10⁻¹⁹ / (61.10 x 10⁻⁹ - r )²

For equilibrium ,

9 x 10⁹ x 1.6 x 10⁻¹⁹ / r² = 9 x 10⁹ x 3.2 x 10⁻¹⁹ / (61.10 x 10⁻⁹ - r )²

2 d² = (61.10 x 10⁻⁹ - r )²

1.414 r = 61.10 x 10⁻⁹ - r

2.414 r = 61.10 x 10⁻⁹

r = 25.31 nm .

(a)  The distance from the uranium atom at which an electron will be in equilibrium is \(2.04 \times 10^{-8} \ m\)

(b) The magnitude of the force on the electron from the uranium ion is \(3.46 \times 10^ 6 \ N\)

The given parameters:

The force on the electron due to uranium ion at distance r is calculated as follows;

\(F _1 = \frac{Kq_1^2}{r^2} \\\\F_1 = \frac{9\times 10^9 \times (1.6\times 10^{-19})^2}{r^2} \\\\F_1 = \frac{2.3 \times 10^{-28}}{r^2}\)

The force on the electron due to uranium ion at distance less than 61.10 nm.

R = 61.10 nm - r

\(F_2 = \frac{9\times 10^9 \times (3.2 \times 10^{-19})^2}{(61.1 \times 10^{-9} \ - \ r)^2} \\\\\F_2 = \frac{9.216 \times 10^{-28}}{(61.1 \times 10^{-9} \ - \ r)^2}\)

At equilibrium, the force between the electron and ions will be equal.

\(\frac{9.216 \times 10^{-28}}{(61.1 \times 10^{-9} \ - \ r)^2}= \frac{2.3 \times 10^{-28}}{r^2}\\\\\frac{4}{(61.1 \times 10^{-9} \ - \ r)^2} = \frac{1}{r^2} \\\\4r^2 = (61.1 \times 10^{-9} \ - \ r)^2\\\\2^2r^2 = (61.1 \times 10^{-9} \ - \ r)^2\\\\2r = 61.1 \times 10^{-9} \ - \ r\\\\3r = 61.1 \times 10^{-9} \\\\r = \frac{61.1 \times 10^{-9}}{3} \\\\r = 2.04 \times 10^{-8} \ m\)

The magnitude of the force on the electron from the uranium ion is calculated as follows;

\(F = \frac{kq_1^2}{r^2} \\\\F = \frac{9\times 10^9 \times 1.6\times 10^{-19}}{(2.04 \times 10^{-8})^2} \\\\F= 3.46 \times 10^6 \ N\)

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Answer:

The answer is 8.7.

Explanation:

It gets 8.7 to complete a round trip

The buoyant force on the cannon stays the same as long as it is fully under water because the buoyant force is determined by the volume of fluid that the cannon displaces and not by the weight or mass of the cannon itself.

Archimedes' Principle states that the buoyant force on an object in a fluid is equal to the weight of the fluid that the object displaces. This means that as long as the cannon remains fully submerged in the water and does not change its volume, the amount of water it displaces and thus the buoyant force on the cannon will also remain the same.

In other words, the buoyant force is dependent on the fluid's density and the volume of the object, not its weight. So, as long as the volume of the cannon and the density of the fluid surrounding it remain constant, the buoyant force will also stay constant.

The buoyant force on the cannon will stay the same as long as it is fully under water.

The buoyant force on an object is equal to the weight of the fluid displaced by the object. The buoyant force is always directed upwards, and it opposes the force of gravity. As long as the cannon is fully under water, the amount of water displaced by the cannon will stay the same. This means that the buoyant force on the cannon will also stay the same.

The buoyant force on an object depends on the density of the fluid, the volume of the object, and the acceleration due to gravity. The density of water is constant, so the buoyant force on the cannon will only change if the volume of the cannon changes or if the acceleration due to gravity changes.

Neither of these factors change. The volume of the cannon does not change as it is being recovered from the shipwreck. The acceleration due to gravity also does not change, as it is the same on Earth's surface as it is underwater.

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The cannon will completely stop when it collides with the barrier.

To calculate the speed at which the cannon collides with the barrier, we can follow these step-by-step calculations:

Determine the initial momentum of the system.

Since the cannon is initially stationary, the initial momentum is zero.

Apply the conservation of linear momentum.

According to the principle of conservation of linear momentum, the initial momentum of the system (zero) is equal to the final momentum of the system. The final momentum is the momentum of the cannon after firing.

Calculate the final momentum of the system.

Let's assume the mass of the cannon is represented by 'm' and the final velocity of the cannon is represented by 'v'. The final momentum of the system is given by: final momentum = m × v.

Set up the equation.

Since the initial momentum is zero, we have: 0 = m × v.

Solve for the final velocity of the cannon.

Dividing both sides of the equation by 'm', we get: v = 0.

Interpret the result.

The calculation shows that the final velocity of the cannon is zero. This means that the cannon comes to a complete stop when it collides with the barrier.

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