A ball of mass 3 kg is released at the top of a track, as shown in the image below. The top of the ramp is 1 metre higher than
the lower, horizontal section of the track. This horizontal section is 5 metres long.
Assumptions:
• There is no loss of energy due to friction or air resistance.
• Gravitational acceleration is 9.8 m/s?
3 kg
1 m
5 m
(a) [1 MARK] What type of energy does the ball have when it is being held at the top of the track?
potential energy
(b) How much work must be done to hold the ball at the top of the track?
• [0.5 MARK] Write the amount of work done (number only) here: 0
[0.5 MARKI Write the unit for the work done here (symbol, not words):
.
(C) (1 MARK] What is the velocity (in m/s) of the ball when it is at the start of the horizontal section of the track? (Write the
number only to two decimal places. Do not include the unit.)
(d) [1 MARK] What is the velocity (in m/s) of the ball when it is at the end of the horizontal section of the track? (Write the
number only to two decimal places. Do not include the unit.)

As the skater descends his kinetic energy increases and his potential energy decreases. The total energy remains constant.

Energy is the ability to do work. Types of energy are potential, kinetic, thermal and so on.

Potential energy is the energy stored in an object due to its position relative to another object. Kinetic energy is the energy due to the motion of an object.

As the skater descends his kinetic energy increases and his potential energy decreases. The total energy remains constant.

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Answer:

D  Is true - the velocities (and squared) follow the appropriate statistical curve

The molecules have a range of kinetic energies at a certain temperature.  As the temperature increases, their kinetic energy and molecular speed increases.

Kinetic theory of gases describes the nature of ideal gases and their volume, pressure and kinetic energy. As per this theory the gases are made of tiny particles which have negligible mass compared to that of the container.

Kinetic theory states that the kinetic energy of all gases increases with increase in temperature which is independent of the masses and and at certain temperature all the gases are having same range of kinetic energies.

The velocity of all the gaseous particles increases with increasing in temperature which results in the increase in kinetic energy. Hence, option D is correct.

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In the event that the stone is thrown horizontally, our horizontal velocity, u1, equals 16.4 m/s, its initial vertical velocity, U, equals zero, and its ultimate vertical velocity, V, is as a result. The stone will first travel vertically at a speed of 16.4 m/s if it is flung vertically. v is therefore its final vertical velocity V2 = u2 + 2gs, where s is the height of the bridge over the river (16.4 m).v² = 16.4² + 2 × 9.8 × 16.4 = √(268.96 + 321.44)\sv = √590.4 = 24.30 m/s

A force that is brought on by air called air resistance. An object travelling through the air experiences the force in the opposite direction.

A force called air resistance works against the motion of moving things.

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The x component of the vector is determined as 8.03 m.

The x component of the vector is calculated by applying the following formula as shown below;

Vx = V cosθ

where;

The  x component of the vector is calculated as follows;

Vx = 12.1 m x cos (48.4⁰)

Vx = 8.03 m

Thus, the x component of the vector is determined as 8.03 m.

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Answer: H2O2

Explanation:

First, calculate the moles of H2O2 reacting. In order to do this, we must evaluate the relative molecular mass ( Mr ) of hydrogen peroxide

Answer:

Hydrofluorocarbons (HFCs) are man-made organic compounds that contain fluorine and hydrogen atoms, and are the most common type of organofluorine compounds. Most are gases at room temperature and pressure.

Answer:

Hydrofluorocarbons (HFC) are man-made organic compounds that contain fluorine and hydrogen atoms and are the most common type of organofluorine compounds. Most are gases at room temperature and pressure. HFCs are produced synthetically and are used primarily as refrigerants. In general, they are relatively non-flammable, chemically stable, and nonreactive.

The two correct answers are:

The hydrosphere is described as the combined mass of water found on, under, and above the surface of a planet, minor planet, or natural satellite.

Increasing levels of carbon dioxide in the atmosphere leads to global warming, which in turn affects the hydrosphere in various ways.

One of the impacts is that changing climate patterns lead to changes in precipitation patterns, resulting in alterations in the amount and timing of rainfall and snowfall.

Another impact is the warming of the ocean waters due to the absorption of excess heat from the atmosphere. Warmer ocean water can lead to a variety of negative impacts on marine ecosystems, including coral bleaching, altered patterns of marine life migration, and the potential extinction of some marine species.

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Answer:

19,224 N

Explanation:

The given parameters are;

The mass limit of the elevator = 2,400 kg

The maximum ascent speed = 18.0 m/s

The maximum descent speed = 10.0 m/s

The maximum acceleration = 1.80 m/s²

Given that the acceleration due to gravity, g ≈ 9.81 m/s²

The minimum upward force that the elevator cable exert on the elevator car, \(F_{min}\) , is given in the downward motion as follows;

\(F_{min}\) = m·g - m·a

∴ \(F_{min}\) = 2,400 kg × 9.81 m/s² - 2,400 kg × 1.80 m/s² = 19,224 N

The minimum upward force that the elevator cable exert on the elevator car, \(F_{min}\) = 19,224 N

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Answer: C

Explanation:

Answer:Therefore, the film in a camera must be  placed at a distance of 0.0358m, 3.58cm 0r 38.5mm depending on the unit.

Explanation:

From the question, we have that,

Focal length of the lens, f = +35 mm = 35/ 1000 = 0.035m

The Object distance of the flower, u = 1.50m

The image distance, v = ?

. Using lens formula as, we have that  

1/f = 1/u + 1/v

where f= the focal length

u =the object distance

v=image distance

1/ 0.035 =  1/1.50 +1/v

1/v = 1/0.035- 1/1.50

=28.57- 0.667

=27.903

1/v= 27.903

v = 1/27.903

v= 0.0358 m

Therefore, the film in a camera must be  placed at a distance of 0.0358m

Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.

Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.

To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.

The work done by the air can be calculated using the equation:

Work = Force * Distance * cos(θ)

Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.

In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:

Work = Force * Distance * 0

Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.

However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.

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Vehicles need to be serviced for several reasons such as preventing costly repairs and improving fuel economy.

First, regular maintenance can help to prevent costly repairs down the road. Second, maintenance can help to improve fuel economy and emissions. Third, maintenance can help to keep your vehicle safe and reliable.

The servicing requirements for petrol/diesel and electric vehicles differ in a number of ways. Petrol/diesel vehicles require oil changes more frequently than electric vehicles. This is because petrol/diesel engines use oil to lubricate the moving parts, while electric motors do not. Petrol/diesel vehicles also require tune-ups more frequently than electric vehicles.

This is because petrol/diesel engines have more moving parts that need to be synchronized, while electric motors have fewer moving parts.

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Given:

• Diameter = 0.300 mm

• Resistance = 0.500 Ω

• Temperature = 20.0ºC

• Resistivity = 1.68 * 10⁻⁸ Ω*m

Let's find the length of the copper wire.

To find the length of the wire, apply the formula:

Where:

R is the resistance = 0.500 Ω

p is the resistivity = 1.68 * 10⁻⁸ Ω*m

L is the length

r is the radius = diameter/2 = 0.300mm/2 = 0.15 mm

Convert the radius to meters, where:

1 m = 1000 mm

0.15mm = 0.15 x 10⁻³ m

Now, input values into the formula and solve fo L:

Solving further, rewrite the equation for the length L:

Therefore, the length of the copper wire is 2.1 meters.

ANSWER:

2.1 m

Answer:

C 2000v its obviously ans because if o is 1000 2 vo is 2000v

Answer:

Q= NBA/R

Explanation:

Check attachment for derivation

The equation relating the total charge, magnitude, turns, time will be "\(\frac{NBA}{R}\)".

According to the question,

Resistance = R

Total charge = Q

Current = I

Number of turns = N

Time = Δt

and,

Q = IΔt ...(equation 1)

We know the flux,

→ \(\Phi\) = NBA

Emf induced,

   ε = \(\frac{- \Delta \Phi}{\Delta t}\)

Δ\(\Phi\) = \(\Phi_2 - \Phi_1\)

then,

   ε = \(\frac{NBA}{\Delta t}\)

As we know, Voltage (V) = iR

then, ε = \(\frac{NBA}{\Delta t}\) = iR

         i = \(\frac{NBA}{R \Delta t}\)

Hence, by applying the values in "equation 1"    

→ Q = iΔt

      = \(\frac{NBA}{R \Delta t}\) × Δt

      = \(\frac{NBA}{R}\)

Thus the response above is correct.

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The correct answer is Option C. and D. The Earth consists of several layers, and the two layers that represent parts of Earth that are mostly iron and nickel are layers B and C.

The Earth's structure has been divided into several layers based on the physical and chemical properties of the materials that make up each layer.

The model is made up of four main layers: the crust, mantle, outer core, and inner core.

The outer core and inner core are the two layers that are primarily made up of iron and nickel.

Layer B, the mantle, is made up of magnesium, silicon, and iron.

Layer C, the outer core, is made up of molten iron and nickel, with some lighter elements such as sulfur and oxygen.

The inner core, layer D, is mostly composed of solid iron and nickel.

The outer core is a liquid layer located between the mantle and the inner core.

This layer is approximately 2,300 km thick and is composed primarily of iron and nickel, with some lighter elements such as sulfur and oxygen.

The outer core is responsible for generating the Earth's magnetic field.

It's also responsible for producing seismic waves that help scientists learn about the interior of the

Earth. The inner core is a solid layer located at the center of the Earth, approximately 6,371 km below the Earth's surface.

It is composed mainly of iron and nickel, with trace amounts of lighter elements such as sulfur and oxygen.

The pressure at the center of the Earth is so high that the iron and nickel in the inner core are solid, despite being at a temperature of over 5,500°C.

Therefore, The correct answer is Option C. and D.

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Answer: In a generator, the back and forth movement of electrons as the magnet spins and opposite poles of the magnet push the electrons in opposite directions is called Alternating Current (AC).

Explanation:

Answer:

alternating current and direct current

Explanation:

yall some of these questions arent that hard, use common sense

The amount of force required is (V) is v(t) = at.

What is velocity?

The speed of something in a given direction. Velocity is the directional speed of to an object in motion as an indication of its rate of the  change in position as in observed from a particular to frame of reference and it's as measured by a particularly standard of time.

Sol-As per the newton's first law of motion.

Vt= vo+at

Here,

velocity at time t is v(t).

Initial velocity is vo.

Acceleration is a and the time is t.

The initial velocity is zero. Put the 0 for vo in above equation.

v(t) = 0+at

v(t)= at

Thus, the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground.

(V) is v(t) = at.

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The formula for centripetal acceleration within the spacecraft is: ac =The outside radius of a spacecraft's doughnut-shaped body is 440 metres. The people are standing with thier feet on an outer rim and their heads .

Earth's crust is made of igneous, metamorphic, or sedimentary rocks, which range in composition from mud or clay to diamonds or coal. Igneous rocks, which are created as magma cools, are the most prevalent types of rocks in the crust. Igneous rocks like granite and basalt are abundant in the crust of the Earth.

The distance between any two places on a circle's circumference is in fact its radius. R or r are frequently used to denote it. Almost all calculations involving circles take this quantity into account. The radius of a circle can be used to determine a circle's circumference and surface area.

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Answer:

c, its axis is tilted

maybe

As it works its way around the sun, its tilted axis exposes different parts of earth.

C would be it because the roation of Earth on its axis doesn't have anything to do with the exposer of the revolution on its axis

Answer:

Explanation:

Sample Response: Sound travels faster in a warm room because temperature affects the speed of a wave. In a warm room, the particles of air move faster and have higher chances of bumping into each other, which then increases the instances of energy transfer.

The airplane will strike the ground at a horizontal distance of 490 meters.

To determine how far the airplane will strike on the ground, we need to consider the horizontal distance traveled by the airplane during its flight.

The horizontal distance traveled by an object can be calculated using the formula:

Distance = Speed × Time

In this case, the speed of the airplane is given as 100 meters per second and the time it takes to cover the distance of 490 meters is unknown. Let's denote the time as t.

Distance = 100 m/s × t

Now, to find the value of time, we can rearrange the equation as follows:

t = Distance / Speed

t = 490 m / 100 m/s

t = 4.9 seconds

Therefore, it takes the airplane 4.9 seconds to cover a horizontal distance of 490 meters.

Now, to calculate the distance on the ground where the airplane will strike, we can use the formula:

Distance = Speed × Time

Distance = 100 m/s × 4.9 s

Distance = 490 meters

It's important to note that this calculation assumes a constant speed and a straight flight path. In reality, various factors such as wind conditions, changes in speed, and maneuvering can affect the actual distance traveled by the airplane.

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Answer:

sudden cardiac arrest

Explanation:

Answer:

96.7 s

Explanation:

Time of flight in projectile can be calculated thus:

T = 2 × u × sin ϴ/ g

Where;

T = time of flight (s)

u = initial velocity (m/s)

ϴ = Angle of projectile (°)

g = acceleration due to gravity (9.8m/s²)

Based on the provided information; u = 670m/s, ϴ = 45°

Hence, using T = 2.u.sin ϴ/ g

T = 2 × 670 × sin 45° ÷ 9.8

T = 1340 × 0.7071 ÷ 9.8

T = 947.52 ÷ 9.8

T = 96.68

T = 96.7s

Answer:

The force must be applied during 8 seconds to reach trhe same final speed.

Explanation:

By Impulse Theorem, a change in the magnitude of linear momentum of a system with constant mass can be done by applying a force during a given time. That is:

\(m\cdot (v_{f}-v_{o}) = F \cdot \Delta t\)

Where:

\(m\) - Mass, measured in kilograms.

\(v_{o}\), \(v_{f}\) - Initial and final speed, measured in meters per second.

\(F\) - Net external foce, measured in newtons.

\(\Delta t\) - Time, measured in seconds.

We can eliminate mass and speeds by constructing the following relationship:

\(F_{1}\cdot \Delta t_{1} = F_{2}\cdot \Delta t_{2}\) (2)

If we know that \(F_{1} = F\), \(\Delta t_{1} = 4\,s\) and \(F_{2} = \frac{F}{2}\), then the time is:

\(4\cdot F = \frac{F\cdot \Delta t_{2}}{2}\)

\(\Delta t_{2} = 8\,s\)

The force must be applied during 8 seconds to reach trhe same final speed.

Answer:

v = 1.6 m/s

Explanation:

Given that,

Distance, d = 72 m

Time taken, t = 45 s

We need to find their average velocity. Average velocity of an object is given by total distance divided by total time taken.

\(v=\dfrac{d}{t}\\\\v=\dfrac{72\ m}{45\ s}\\\\v=1.6\ m/s\)

So, their average velocity is 1.6 m/s.

The energy released when 10 g of steam is spilled on the hand is approximately 25 kJ

The heat required to raise the temperature of 10 g of water from 33 °C to 100 °C is

Q₁ = m x c x ΔT

= 10 g * 4.2 * (100 °C - 33 °C)

= 2772 J

The heat required to vaporize 10 g of water at 100 °C is given by:

Q₂ = m x L

= 10 * 2.2

= 22,000 J

where L is the specific latent heat of vaporization of water

The total energy released

Q = Q1 + Q2

= 2772 J + 22,000 J

= 24,772 J

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