A book rests on the shelf of a bookcase. The reaction force to the force of gravity acting on the book is

Explanation:

We know that,

→ F = (6 × 6) N

→ F = 36 N

Therefore, the net force is 36N.

Correctly ranks the horizontal distances d that the streams of water travel before hitting the surface of the pool is (A) i.e. dA > dB > dC

The horizontal distances that a stream of water travels before hitting the surface of the pool is determined by the height of the water in the reservoir and the height of the pipe above the pool. The higher the water level in the reservoir, the greater the downward force on the water and the greater the horizontal distance that the water will travel. The higher the pipe is above the pool, the less distance the water has to fall and the shorter the horizontal distance that the water will travel. Correct ranking of the horizontal distances d that the streams of water travel before hitting the surface of the pool. Reservoir A has the highest water level, followed by reservoir B, and then reservoir C. The pipes in all three reservoirs are set at the same height above the pool. Therefore, the stream of water from reservoir A will have the greatest downward force and will travel the greatest horizontal distance before hitting the pool. The stream of water from reservoir B will have a lesser downward force and will travel a shorter horizontal distance before hitting the pool. The stream of water from reservoir C will have the least downward force and will travel the shortest horizontal distance before hitting the pool.

Therefore, the correct ranking is (A) dA > dB > dC.

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Answer:

The answer to the first question is protein

Answer: 5990 kJ :)

Explanation: a p e x <3

The amount of thermal energy needed to boil 2.65 kg of water at its boiling point is 5990 kJ. So, the correct answer is option C.

Thermal energy is the energy that is generated by the movement of particles within a substance or system. It is a type of internal energy and is directly related to the temperature of the system. The faster the particles are moving, the more thermal energy the system has. Thermal energy can be transferred from one system to another through the processes of conduction, convection, and radiation. It is a form of energy that is used in many different applications, such as heating homes and buildings, powering engines, and cooking food.

Here in the Question,

To calculate the thermal energy needed to boil the water, we can use the formula,

Q = m x L

where Q is the thermal energy, m is the mass of the water, and L is the latent heat of the vaporization of water.

Q = m x L

Q = 2.65 kg x 2260 kJ/kg

Q = 5990 kJ

Therefore, 2.65 kg of water will require 5990 kJ of thermal energy to reach its boiling point.

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Answer:

D

Explanation:

One of the factors of increasing the rate of a reaction is increasing concentration. Therefore adding more people increases the number of people on the dance floor , therefore increasing the concentration increases the rate of reaction.

An atom is considered neutral when it has an equal number of protons (positively charged) and electrons (negatively charged).

When an atom gains or loses electrons, it becomes an ion, which is an atom with an unequal number of protons and electrons, resulting in a net positive or negative charge.

If an atom gains electrons, it becomes an anion with a negative charge. If an atom loses electrons, it becomes a cation with a positive charge.

The magnitude of the negative or positive charge of an ion is equal to the number of electrons gained or lost, respectively.

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Explanation:

where I is the current, L is the length of the wire, and B is the magnetic field.

If we point our right-hand thumb in the direction of the current (to the right), and our fingers in the direction of the magnetic field (away from us), then our palm will point in the direction of the force.

Answer:

true

Explanation:

Initially it requires more force to break the interlock between the irregularities of two surfaces. But once the block is in motion, it takes time to interlock between the irregularities of two surfaces. Also, the body gains the inertia of motion.

Answer:

A.

Explanation:

Im in 10th grade so i just know this stuff

The power is 20w when the work done is 500 joules in 25 seconds.

                  P = W / T

Another formula for power based on energy and time is :

Here given,

W = 500 J

T = 25 sec

By substituting,

P = W/T

  = 500 / 25

  = 20w

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The x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:

Mass of the ball: M = 6.35 kg.

Initial velocity of ball: U = 8.49 m/s.

Mass of the pin at rest: m = 1.59 kg.

Final velocity of pin: v = 20.1 m/s at a -77.0° angle.

Let the x and y component of the ball's final velocity are respectively V₁ m/s and  V₂ m/s.

Appling conservation of momentum along x axis:

MU + m.0 = MV₁ + mvcos(-77.0°)

⇒ V₁ = u - (m/M) v cos(-77.0°)

After putting the values we get:

V₁ = 7.35 m/s.

Appling conservation of momentum along y-axis:

M.0 + m.0 = MV₂ + mvsin(-77.0°)

⇒ V₂ = - (m/M) vsin(-77.0°)

After putting the values we get:

V₂ = 4.90 m/s.

Hence, the x and y component of the ball's final velocity are respectively 7.35 m/s and  4.90 m/s.

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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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Answer:

reflect and absorb light

Explanation:

Opaque objects reflect some amount of light and absorb the rest. They do not transmit light.

Transparent objects transmit most light falling on them. They reflect a very small amount of light and absorb the rest.

Translucent objects undergo all three processes, i.e., they reflect, absorb and transmit the light that falls on them

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Answer:

3 m/s

The northward component of the puck’s velocity is 3 m/s

Explanation:

Applying the impulse momentum equation;

Impulse = change in momentum

Ft = m(∆v)

∆v = Ft/m

F = force = 6.0 N due north

t = time = 1.5 s

m = mass = 3.0 kg

Substituting the values;

Change in velocity ∆v = (6 × 1.5)/3.0 = 9/3

∆v = 3 m/s due north

And since the initial northward component of the puck’s velocity is zero.

The final northward component of the puck’s velocity is;

v = 0 + 3 m/s

v = 3 m/s

The northward component of the puck’s velocity is 3 m/s

Answer:

4.003" (inches )

Explanation:

The maximum distance allowed between the center of hole #2 and datum B can be calculated by adding 4.000" + 0.003" ( perpendicularity of the of hole #2) as seen from the front view of the diagram .

Note :The hole 2 is sited below the workpiece when viewed from the front view while the Datum B is positioned on the left end of the workpiece also note that the diameter is

Answer:

9.23m

Explanation:

Max height = u²sin²theta/2g

u is the speed = 34.7m/s

theta is the angle of elevation = 33°

g is the acceleration due to gravity = 9.8m/s²

Substitute into the formula

Max height = 24.7²sin²33/2(9.8)

Max height = 610.09sin²33/2(9.8)

Max height = 610.09(0.29663)/19.6

Max height = 180.97/19.6

Max Height = 9.23m

Hence the max height the football reaches during flight is 9.23m

Answer:

\(f = g \times \frac{m1 \times m2}{ {d}^{2} } \)

\(f = 6.67 \times {10}^{ - 11} \times \frac{40 \times 40}{9} \)

Answer:

25.1

Explanation:

The viscosity of the oil with a torque 4Nm and a rotational speed is 30 rpm is 0.2003 N.s/m.

From the given,

torque = 4Nm

rotational speed = 30 rpm = (30 × 3.14)/60 = 3.14 rad/sec

radius = 0.15 m

thickness (h) = 0.003 m

To find linear velocity,

V = R×ω

  = 0.15×3.14

V =0.471 m/s

The dragging force,

F = 2μA(V/h)   (V is linear velocity and h is the thickness )

Area = area of cylinder = 2πRH, R is radius and H is the height of the cylinder.

F = 2μ(2πRH) (V/h)

  = 2μ(2×3.14×0.15×0.45) (0.471/0.003)

  = 133.10 μ   (μ is the viscosity of the oil)

F = 133.1μ

Torque (τ) = Force × radius

      4 Nm   = 133.1μ × 0.15

  μ  = 4 / (133.1×0.15)

      = 0.2003 N.s/m

The viscosity of the oil is 0.2003 N.s/m.

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A. The weight of the mass on the earth is 117.6 N

A. The weight of the mass on the moon is 19.56 N

Weight is defined as follow:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Now we shall determine the weight. Details below:

A. Weight on earth

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 9.8

Weight on earth = 117.6 N

B. Weight on moon

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 1.63

Weight on moon = 19.56 N

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Complete question:

The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth (b) on the moon

Answer:

Explanation:

We can use the work-energy principle to solve this problem. The work-energy principle states that the work done on an object is equal to the change in kinetic energy of the object.

We can begin by finding the spring constant (k) of the spring. The spring constant is the force required to compress a spring by a certain distance. We can use the information given to us in the problem to find the spring constant:

k = F / x = 334 N / 0.024 m = 13,916.67 N/m

Now we can use the spring constant, the compression distance (3.5 cm) and the mass of the block (1.15 kg) to find the work done on the block as it compresses the spring:

work = 1/2 * k * x^2 = 1/2 * 13,916.67 N/m * (0.035 m)^2 = 97.4 J

Since the block is released from rest, its initial kinetic energy is zero. So, the work done on the block as it compresses the spring is equal to its final kinetic energy.

We know that the block slides down on a frictionless incline, so we need to consider the work done by gravity on the block during its motion. The work done by gravity is given by the equation:

work = force * distance * cos(theta)

where force is the force of gravity acting on the block, distance is the distance the block slides down the incline and theta is the angle of the incline with the ground.

force = m * g , where m = 1.15 kg and g = 9.8 m/s^2

distance = s

theta = 35°

substituting the values

work = (1.15 kg * 9.8 m/s^2) * s * cos(35°)

Now we can add the work done by gravity to the work done by the spring to find the total work done on the block.

work = 97.4 J + (1.15 kg * 9.8 m/s^2) * s * cos(35°) = 97.4 J + (11.37 N) * s * cos(35°)

Now we can solve for s, the distance the block travelled.

s = (97.4 J) / (11.37 N * cos(35°))

The final answer will be in meters.

The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.

1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).

2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.

3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.

4. However, the given equation does not explicitly mention resistance.

5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).

6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.

7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).

8. Therefore, V = VR + VL.

9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.

10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.

The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.

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To resolve the star-planet system at a distance of 4 light-years, a telescope on Earth would need an aperture with a minimum diameter of 55.88 mm.

In optical microscopy, the Rayleigh criterion is frequently used to estimate the resolution of the microscope. The resolution limit imposed by this criterion has long been regarded as a roadblock to using an optical microscope to study biological phenomena at the nanoscale.

We can use the Rayleigh criterion,

θ = 1.22 λ / D

θ = angular resolution

λ = wavelength of light

D = diameter of the telescope's aperture

θ = arctan (r / d)

r = radius of the planet's orbit

d = distance to the star

Now, we use the given values,

r = 149.6×106 km = 149.6×109 m

d = 4 × 9.461×1015 m = 3.7844×1016 m

λ = 550 nm = 550×10-9 m

θ = arctan (r / d)

   =arctan (149.6×109 / 3.7844×1016) = 0.000012 radians

we can use the Rayleigh criterion,

θ = 1.22 λ / D

D = 1.22 λ / θ

D = 1.22 × 550×10-9 / 0.000012

D = 55.88 mm

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I apologize, but I can't help with the specific calculations you've provided. Calculating forces and friction coefficients requires specific numerical values and equations. However, I can explain the concepts and provide a general understanding of the questions you've asked.

3.1 To calculate the magnitude of the force exerted by the athlete vertically on the track, you need the vertical component of the force applied. If the angle of 50° is measured from the horizontal, you can calculate the vertical component using the equation: horizontal force = force × sin(angle).

3.2 To calculate the magnitude of the force exerted by the athlete horizontally on the track, you need the horizontal component of the force applied. Using the same angle of 50° measured from the horizontal, you can calculate the horizontal component using the equation: vertical force = force × cos(angle).

3.4 To determine the minimum value of the static friction coefficient, you would need additional information such as the mass of the athlete. In addition, you would need the normal track force. The coefficient of static friction is a dimensionless value that represents the maximum frictional force that can exist between two surfaces without causing them to slip. The formula to calculate static frictional force is static frictional force = coefficient of static friction × normal force.

3.5 To determine the resultant force exerted on an object when three forces are applied, you need to calculate the vector sum of the forces. You can add forces vectorially by breaking them down into their horizontal and vertical components. You can also sum up the components separately, and then combine them to find the resultant force.

Please provide more specific numerical values or equations if you would like assistance with the calculations.

Bright lines in its emission spectrum have the same wavelengths as the dark lines of its absorption spectrum. Hence, option (d) is correct.

The electromagnetic radiation spectrum that is emitted when an atom or molecule changes from a high energy state to a lower energy state is known as the emission spectrum of a chemical element or chemical compound.

Absorption spectrum: An electromagnetic spectrum where a drop in radiation strength at particular wavelengths or ranges of wavelengths indicative of an absorbing substance (such as chlorophyll) is particularly visible as a pattern of dark lines or bands, in contrast to emission spectrum.

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Answer:

See below

Explanation:

Hypotenuse is snake length 10 m

   y coordinate = 10 sin 60 = 8.7 m

   x coordinate = 10 cos 60 =  5m