a 60 kg hiker wishes to climb a hill 1200 meters high if he can generate a sustained power of 500 watts how long will it take him to climb the hill​

The recoil speed of man and rifle are 0.05 m/s and 0.0021 m/s .

(a) The recoil speed of the rifle can be found using the law of conservation of momentum. The momentum of the bullet is equal to the momentum of the rifle and the man.

Momentum of the bullet = mv = (5.0 g)(300 m/s) = 1.5 kg·m/s

Momentum of the rifle = (30.0 n)(v)

Therefore, v = 1.5 kg·m/s ÷ 30.0 n = 0.05 m/s

The recoil speed of the rifle is 0.05 m/s.

(b) The total momentum of the man and the rifle is equal to the momentum of the bullet.

Momentum of the man and rifle = mv = (700 n)(v)

Therefore, v = 1.5 kg·m/s ÷ 700 n = 0.0021 m/s

The recoil speed of the man  is 0.0021 m/s.

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The magnitude of the velocity of the of the chain when 5.58m of the chain is hanging vertically is 10.46m/s.

Given the length of chain (s) = 5.58m

We know that from Newtons second law of motion :

v^2 = u^2 + 2gs where v is the final velocity, u is the initial velocity and g is the acceleration due to gravity.

Here u = 0m/s as the chain is at rest initially.

So, v^2 = 0 + 2 x 9.8 x 5.58

v^2 = 109.368

v = √109.368 = 10.46m/s

Hence the magnitude of the velocity of the of the chain = 10.46m/s.

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The time period is not depends on the mass. So even the mass is doubled its time period not changes. The period of a simple pendulum is given by the equation T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

A. In this equation, the mass does not appear, so doubling the mass of the pendulum does not affect the period. If the mass of the pendulum is doubled, the period of the pendulum will remain the same.

B. If the length of the pendulum's string is doubled, the period will also be doubled. The period of a simple pendulum is given by the equation T = 2π√(L/g),

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. Doubling the length of the pendulum increases the length by a factor of 2, which increases the period by a factor of 2.

A pendulum is a weight suspended from a pivot so that it can swing freely. The weight, also known as a bob, is the object that oscillates (moves back and forth) under the influence of gravity. Pendulums can be used to measure time, as in the case of a grandfather clock, or as a simple device to demonstrate harmonic motion.

The force acting on the pendulum is gravity, which is pulling the bob downward. This force is opposed by the tension in the string or rod that is holding the bob. The bob has kinetic energy when it is moving, and potential energy when it is at the highest or lowest point of its swing. As the bob swings back and forth, its kinetic and potential energy are constantly changing.

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The normal force acting on the block is 4.11N/0.325 = 12.68N.

Static friction is the force that opposes to the motion of an object when it is at rest. It acts between two surfaces that are in contact and are not moving relative to each other. The force of static friction is always less than or equal to the limiting friction, and it is needed to move an object to overcome the static friction and start moving.

On the other hand, kinetic friction is the force that opposes to the motion of an object when it is in motion. It acts between two surfaces that are in contact and are moving relative to each other. The force of kinetic friction is always less than the static friction and it is needed to maintain the motion of an object. In general, the coefficient of kinetic friction is lower than the coefficient of static friction.

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The normal force acting on the block is 12.68N when block is on a surface with is = 0. 325. It takes 4. 11 N to break it free from static friction.

Surface = 0.325

force = 4.11 N

Static friction =      4.11N/0.325

                                  = 12.68N.

Static friction is the force that opposes to the motion of an object when it is at rest. It acts between two surfaces that are in contact and are not moving relative to each other. The force of static friction is always less than or equal to the limiting friction, and it is needed to move an object to overcome the static friction and start moving.

On the other hand, kinetic friction is the force that opposes to the motion of an object when it is in motion. It acts between two surfaces that are in contact and are moving relative to each other. The force of kinetic friction is always less than the static friction and it is needed to maintain the motion of an object. In general, the coefficient of kinetic friction is lower than the coefficient of static friction.

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The correct answer is option d. The ancients realized that stars did not revolve around the Sun like the planets do, and thus arrived at this conclusion.

One of the ways the ancients knew the planets were different from the stars was by observing their motion in the night sky. Unlike stars, which appear stationary in the sky, the planets were observed to move along a regular path relative to the stars. This movement was known as planetary retrograde and could be observed over the course of many nights.

The ancients also noticed that the planets have a larger angular size in our sky than the stars. This made them more easily distinguishable and allowed them to be distinguished from the stars.

Finally, the ancients noticed that some of the planets had moons orbiting them, which none of the stars did. This was a key factor in distinguishing the planets from the stars.

All in all, the ancients knew the planets were different from the stars by observing their movement in the night sky, noticing the angular sizes, and observing the moons orbiting some of the planets. By understanding these phenomena, the ancients were able to catalog the heavenly bodies and give them each a name.

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The final velocity of the two coupled cars is 1.2 m/s.

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A magnetic field is created between these two charged parallel plates. The field indicates a direction from the positive plate to the negative plate.

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Beneath the surface of Jupiter's moon of Europa there exists the strongest evidence for the existence of a subsurface ocean of liquid water.

Based on the icy composition of Jupiter's moon named Europa scientists impose the concept that there is the most likely material to make this magnetic signature is a global ocean of salty water. And the result of this magnetic field still is the best evidence for reporting the existence of an ocean on Europa.

Therefore, beneath the surface of Europa's moon of Jupiter, there exists the strongest evidence for the existence of a subsurface ocean of liquid salty water.

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The box will be moving at the speed of 1.16 m/s, when the spring is compressed by 30 cm, if the spring constant is 300 n/m and the mass of the box is 20 kg.

Potential energy stored in the spring during compression of x cm, U = 0.5 kx²

Kinetic Energy possessed by the object moving at a speed of v, = 0.5 mv²

0.5 × 20 × v² = 0.5 × 300 × 0.3²

v² = (0.5 × 300 × 0.3²)/(0.5 × 20)

v² = 1.35

v = √1.35

v = 1.16 m/s

So the box will be moving at a speed of 1.16 m/s.

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A 1000 kilogramme FRICTION is driving at a pace of 130 metres per second. To bring a car to a stop, the brakes are applied. Hence, 223 J is the average output power

To prevent sliding vehicles or spinning wheels, friction or traction are essential. The act of rubbing one surface or object against another is known as friction. The maximum acceleration and shortest stopping distance are determined by the friction between the tyres of your car and the road.

Because there is only frictional force acting on the car, friction is acting backwards. The amount of friction that can be applied to a vehicle's tyres to prevent road traction is as high as.

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Carbon atoms combine with carbon dioxide molecules to form ethanol. The area of the atom where a chemical reaction takes place is called the electron cloud.

In ethanol, carbon atoms join molecules of carbon dioxide. The electron cloud is the region of the atom that is involved in a chemical process. The area of the atom surrounding the nucleus is called the electron cloud. The particle that caused the reaction to take place is an electron, which is found in the electron cloud.

A chemical reaction neither creates nor destroys atoms. Rearranging the atoms occurs. Due to this, new compounds are created that have properties that differ from the initial substances.

The materials that initiate a chemical reaction are known as reactants, while the materials created as a result of the reaction are known as products.

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The spring constant of spring when a ball of mass 2 kg is attached to a vertical spring and is displaced 0. 1m once it is attached is 196.

Given the mass of ball (m) = 2kg

The distance the ball displaced (x) = 0.1m

We know that from Newtons laws of motion F = ma where F is the force acting on an object a is the acceleration.

Here, since the ball is attached to the vertical spring the acceleration acting on the ball is due to gravity. So a = g = 9.8m/s^2.

The restoring force acting on the vertical spring is given as:

Fr = kx where k is spring constant and x is the distance the ball displaced.

As restoring force is balanced by the weight of the ball, Fr = F

Then mg = kx such that k = mg/x

k = 2 x 9.8 / 0.1 = 196

Hence the spring constant of the spring = 196

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Answer:

Explanation:

Since F = ma

And a is 9.8

m = 2

F = 2*9.8

F = 19.6

Hookes Law:

F = kx

So 19.6 = k*0.1

So k = 196

The rate of heat transfer through the layers of the cylinder will be constant.

There is no heat flow from the sides of the object. The cross-sectional area of ​​a body in the direction of heat flow is constant. This is called one-dimensional heat flow because the temperature of a body is a function of only one dimension (distance from each side of the body). Heat transfer from the hot combustion gases includes forced convection through the hot gas boundary layer, conduction through the cylinder wall, and forced convection (including boiling) into the coolant liquid in head, engine block, and piston.

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A 1000 kg rocket with a 3000 kg propellant gas is intended for vertical launch. If the gasoline is used consistently at a rate of.

When the upward force of thrust is higher than the downward force of gravity, a rocket is said to have launched. A rocket will speed upwards as a result of this imbalanced force. As long as the thrust of a rocket engine produces an upward force, a missile will continue to accelerate.

A rocket experiences four forces while in flight: weight, velocity, and the aerodynamics of lift and drag. The weight's size is determined by the.

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Answer:

1. The properties of ionic compounds are:

a. Ionic compounds usually exist in the form of crystalline solids at room temperature.

b. Ionic compounds are soluble in water.

c. Ionic compounds have high melting and boiling points

d. Ionic compounds don't conduct electricity in solid state.

e. The ions of ionic compound crystals are orderly arranged.

2. The properties of covalent compounds are:

a.Covalent compound generally exist in liquid and gaseous state.

b. They are poor conductor of elctricity.

c. Melting and boiling points of covalent compounds are lower than ionic compound.

d. They are generally soluble in non- polar solvents such as benzene.

e. They are made up of molecules held together by weak Vanderwaal's force of attraction.

3. Salt is a covalent compound.

4. Sugar is an ionic compound.

Rest of the assignment is practical. Do at a Lab.

It took 2.04 seconds for the rock to reach the ground, after it was thrown vertically downward at a velocity of 15.0 m/s.

What is velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in a specific direction. It is defined as the distance an object travels per unit of time. The standard unit of velocity is meters per second (m/s) in the International System of Units (SI).

To determine how long it took for the rock to reach the ground, we can use the equation:

d = v0t + (1/2)gt^2

Where d is the distance traveled, v0 is the initial velocity (which is zero for a rock that is thrown vertically downward), t is the time, and g is the acceleration due to gravity (approximately 9.8 m/s^2).

Since we know the distance traveled and the final velocity of the rock, we can rearrange the equation and solve for t:

t = (2d / g)^1/2

Plugging in the given values:

t = (2 * 10 m / 9.8 m/s^2)^1/2 = (2 * 10 / 9.8)^1/2 = 2.04 s

Therefore, it took 2.04 seconds for the rock to reach the ground, after it was thrown vertically downward at a velocity of 15.0 m/s.

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The end of the metal bar farthest from the positively charged rod will be negatively charged.

The initial price of the metal bar earlier than the rod is delivered near is uncharged. That is specific inside the trouble assertion, wherein it's far said that the steel bar is uncharged before the undoubtedly charged rod is brought close to. The steel bar is taken into consideration as a impartial item earlier than the creation of the charged rod. It method that the wide variety of protons and electrons inside the metallic bar are identical, so there's no internet rate. Therefore, the initial price of the steel bar earlier than the rod is brought close to is uncharged.

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The magnitude of the tension on the ends of the clothesline is 175N.

Tension is a mechanical term that describes the opposing resisting force that a rope or string experiences when it experiences a weight at the end of it. It can be measured in Newtons. It can be found all the way down a rope or thread.

we know that the combined vertical tension in the clothesline must equal the weight of the mass;

using g=9.8m/s/s, W=2kgx 9.8m/s/s = 19.6N

now, draw a diagram of the situation; if we call x the angle between the clothesline and the horizontal line that connects the poles, we have that

tan x = 1/9 => x =6.34 deg

now, we can use this angle to show that if T is the tension in the clothes line, the vertical component of tension is T sin x = T sin 6.34

since both sides of the line exert a tension up, we have that

2 T sin 6.34 = W = 19.6 N

or T= 175N.

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When you are pushing a book across a desk with a constant velocity, there are two forces acting on the book: friction and the force of your push.

The force of friction acts in the opposite direction to the motion of the book and opposes the motion of the book. The force of friction is caused by the interaction between the bottom surface of the book and the surface of the desk.

The force of your push acts in the same direction as the motion of the book and causes the book to move.

The y-forces on the book are not equal in magnitude, as there is only one force acting in the y-direction, which is the force of friction. The x-forces are also not equal in magnitude, as there is one force acting in the x-direction, which is the force of your push.

According to Newton's Second Law, the force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, since the book is moving with a constant velocity, the forces acting on the book are balanced, and the net force on the book is zero.

According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. So, when you push on the book, the equal and opposite force is the force exerted by the book on your hand.

Answer:

The book is being pushed from the side meaning there are horizontal forces at work. The first is an applied force, the second is a force of friction against the motion. Since the book is moving at a constant velocity, the book is not accelerating. This means that the forces must be balanced.

Have a Nice Day :  ) .

Linear expansion refers to the increase in length of a material as its temperature increases. It is typically measured as the change in length per unit length per degree of temperature change. the answer change in length of the rod is approximately 0.014 cm.

This effect is caused by the thermal motion of the atoms or molecules in a material, which increases as the temperature increases. Linear expansion is typically a small effect, but can be significant in certain applications, such as in the construction of bridges or buildings.The change in length of the rod can be calculated using the equation for linear expansion:

ΔL = L0 * α * ΔT

Where:

L0 = initial length (20.0 cm)

α = coefficient of linear expansion for aluminum (about 2.5 x 10^-5 /°C)

ΔT = change in temperature (can be calculated by using the heat added, mass, and specific heat capacity of aluminum)

First we need to calculate ΔT, we know that c(Aluminum)= 0.90 J/g °C

ΔT= Q / (m * c)where:

Q = heat added (10000 J)

m = mass of the rod (350 g)

c = specific heat capacity of aluminum (0.90 J/g °C)

Substituting the values we have,

ΔT = 10000 J / (350 g * 0.90 J/g °C) = 28.57142857142857 °C

Now we can find the change in length,

ΔL = L0 * α * ΔT = 20.0 cm * 2.5 x 10^-5 /°C * 28.57142857142857 °C = 0.014 cm

So the change in length of the rod is approximately 0.014 cm.

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The electric flux through one side of a cube is found as -7.1 x 10⁴ V.m.

The equation is given by

ФE = q(int) / ∈₀

ФE = electric flux passing any of the surface

q(int) = charge enclosed by surface = -3. 80 µC

∈₀ = 8.85 x 10⁻¹² F/m (permittivity of free space)

Put the given values.

ФE = -3. 80 x 10⁻⁶ /8.85 x 10⁻¹² / 6 (for one surface of the cube)

ФE = -7.1 x 10⁴ V.m

Thus, the electric flux through one side of cube is found as -7.1 x 10⁴ V.m.

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The core is almost entirely comprised of metal, notably iron and nickel, in contrast to the crust and mantle, which are rich in minerals. The iron-nickel alloys in the core are denoted by the chemical symbols NiFe.

The densest sort of solid matter in space is metal. They are often made of heavier metals that have not undergone chemical fusion. Iron and nickel are the most frequent metallic elements that have not yet been mixed, at least inside our Solar System. As we can see from Earth's structure, metals may be liquid like rocks in the hot cores of huge bodies. Consequently, the iron- and nickel-rich metals dominate the core. In the case of Earth, we know that the metal is melted in the outer core, yet there is high-pressure solid metal within that liquid (inner core).

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Answer:

To determine the rider's acceleration after two minutes, we need to find the second derivative of the distance function s(t) = 3t^3 + 2t^2 + 4 with respect to time. In other words, we need to find the rate of change of the rider's velocity.

The first derivative of s(t) with respect to time is v(t) = 9t^2 + 4t.

The second derivative of s(t) with respect to time is a(t) = 18t + 4.

Now that we have the second derivative, we can find the acceleration after two minutes.

a(2) = 18(2) + 4 = 40 miles/min^2

Therefore the rider's acceleration after two minutes is C. 40 miles/min^2

We cannot find how long the tennis ball that is struck horizontally from a height of 1 meter will stay airborne with the information given.

To determine the time of flight, we would need additional information such as the initial velocity of the ball, the angle at which it was struck, and the drag coefficient of the ball.

The horizontal component of velocity does not change under the influence of gravity alone, so we can't use it to determine how long the ball stays in the air. Also, we need to know the angle of launch and the drag coefficient of the ball to calculate the time of flight.

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The equation that can be used to calculate the mechanical advantage of a simple machine is as follows: MA = delta x0 / delta x1 (option D).

Mechanical advantage is the ratio of the output force produced by a machine (especially a simple machine) to the applied input force.

The mechanical advantage (MA) is used to analyze the forces in simple machines like levers and pulleys.

Mechanical advantage = Fo/Fi

Where;

According to this question, option D best describes the equation that can be used to calculate the mechanical advantage of a simple machine.

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The time it will take do the hiker to climb the 1200m high wall is 1,411.2 seconds.

Power refers to the measure of the rate of doing work or transferring energy.

Power = Work done/time

Since work = force × distance the body is moved

Power = (m × g × h) / t

Where;

According to this question, a 60kg hiker wishes to climb 1200m high. If he can generate a sustained average power of 500 watts, the time it will take to climb is as follows;

500 = 60 × 9.81 × 1200/t

500t = 705,600

t = 1,411.2 seconds

Therefore, 1,411.2 seconds is the time it will take the hiker.

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The change in the momentum of the bus is 10600 kg-m/s, if bus of 1600 kg crashes with a SUV of 600 kg.

The mass of the bus, m₁ = 1600 kg

The mass of the SUV, m₂ = 600 kg

Initial velocity of the bus, v₁ = 10 m/s

initial velocity of the SUV, v₂ = 0 (at rest)

Velocity of the bus after collision, v₃ = 3 m/s

Velocity of the SUV after collision, v₄ = 1 m/s

The change in momentum(Δp) is given by,

Δp = (m₁v₁ + m₂v₂) - (m₁v₃ + m₂v₄)

Δp = (1600 × 10 + 600 × 0) - (1600 × 3 + 600 × 1)

Δp = 16000 - 5400

Δp = 10600 kg-m/s

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Puck B has a larger x-direction momentum as it has a greater velocity in the x-direction.

The momentum of a puck is determined by its mass, velocity, and direction. Since both pucks have the same mass, the one with the greater velocity in the x-direction will have the larger x-direction momentum.

Puck A has a velocity of 5 m/s at an angle of 35 degrees above the x-axis. When the velocity is resolved along the x-axis, this gives a velocity of 4.39 m/s in the x-direction.

Puck B has a velocity of 6 m/s at an angle of 70 degrees above the x-axis. When the velocity is resolved along the x-axis, this gives a velocity of 4.83 m/s in the x-direction.

Therefore, Puck B has a larger x-direction momentum as it has a greater velocity in the x-direction.

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When a proton is removed from point A and an electron is placed at point B, the direction of the electric force will be from point B towards point A. The angle of this force relative to the x-axis would be 180 degrees, with counterclockwise as positive.

As the electron and proton have equal and opposite charges, the magnitude of the force between them will be the same as the magnitude of the force between the proton and the electron.

The magnitude of the force between the proton and electron can be determined by Coulomb's law, which states that the force is proportional to the product of the charges and inversely proportional to the square of the distance between them.

In other words, the magnitude of the two forces is equal, but the direction of the two forces is opposite.

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Charles's law means that the volume of a gas is directly proportional to its absolute temperature

Boyle's Law tells us that the volume of a gas increases as the pressure decreases. Charles's law tells us that the volume of a gas increases with increasing temperature

This is stated by Karl's law, also known as the law of volumes

For a dry gas sample, its volume and Kelvin temperature are directly proportional if the pressure is kept constant

 [tex]\begin{equation*} PV=nRT \end{equation*}[/tex]           P : is a Pressure(Pa)

  [tex]\begin{equation*} V=\frac{nRT}{P} \end{equation*}[/tex]              V : is volume ([tex]m^{3}[/tex])

                              T : absolute temperature (K)

                              R : gas constant [tex]\begin{equation*} 8.314K^{-1}.mol^{-1} \end{equation*}[/tex]

                               n : amount of substance of the gas (mole)

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