A block of mass m = 75 kg is hanging on a vertical rope of length L = 12 m. What work is done by the
gravitational force when the block swings to a position where the rope makes an angle θ = 40° with
the vertical?

Answer:

Scalar Quantity

Explanation:

Scalar Quantity

Quantity whose magnitude alone is sufficient to represent it. We can also say that it is an amount that has magnitude but no direction. For example, temperature and volume are scalar quantities.

For this case we have the potential energy and it is defined by the equation:

[tex]E_{p}=m*g*h\\ where:\\m =mass [kg]\\g = gravity [m/s^2]\\h = height [m]\\[/tex]

The above equation only shows us one magnitude, it has no direction, therefore it is a scalar quantity.

Answer:

a direct current goes in one direction at all times whereas an alternating current goes back and forth in a circuit

Answer:

C

Explanation:

C. a system that converts thermal energy into other useful forms of energy

Answer:

The correct option is C

Explanation:

An engine is a highly organized device that converts a form of energy into another form of energy (usually mechanical energy). A heat engine is a device or an engine that converts heat (or thermal energy energy) into other useful forms of energy (usually mechanical energy). Examples of heat engine include steam engine, internal combustion engine. diesel engine among others.

Answer:

The temperature of the mantle varies greatly, from 1000° Celsius near its boundary with the crust, to 3700° Celsius

hope this helps you!  

Final answer:

The Sun has a surface temperature of about 6000 Kelvin, which corresponds to approximately 5727 degrees Celsius. This temperature is much cooler than the Sun's core, which reaches about 15 million degrees Celsius.

Explanation:

Temperature of the Sun

The temperature on the surface of the Sun is approximately 6000 Kelvin (K), which is equivalent to about 5727 degrees Celsius (°C). At its core, the Sun is much hotter, with temperatures around 15 million degrees Celsius. The vast difference in temperature between the Sun's surface and its core can be attributed to the complex nuclear reactions and intense pressures found at the center of this stellar body.

The Sun appears somewhat yellow from Earth due to the scattering of shorter blue wavelengths by nitrogen molecules in our atmosphere, while in space, the Sun would actually look white due to the equal amounts of reddish and bluish light it emits. Students often compare the temperature of the Sun to extreme temperatures on Earth, like the record high in Death Valley, CA, which was 134°F (or approximately 56.7°C).

If you're interested in the conversion between different temperature scales, remember that 0 degrees Celsius is equal to 32 degrees Fahrenheit. The formula to convert from Kelvin to Celsius is C = K - 273.15. Therefore, the Sun's surface temperature in Kelvin can be converted to Celsius by subtracting 273.15 from the Kelvin value.

Answer:

The direction of the force is towards the east.

The relative strength of the force acting on the boat is proportional to the acceleration acting on the boat.

Explanation:

Given data,

The initial velocity of the sailboat, u = 0 m/s

The final velocity of the sailboat, v = 2 m/s

Let, the time period of the sailboat to reach 2 m/s is, t = 4 s

The acceleration of the sailboat is given by the formula,

                                 a = (v-u)/t

                                 a = (2 - 0)/ 4

                                 a = 0.5 m/s²

The direction of the force is towards the east.

The relative strength of the force acting on the boat is proportional to the acceleration acting on the boat.

Answer:

Tectonic plate interactions are of three different basic types: Divergent boundaries are areas where plates move away from each other, forming either mid-oceanic ridges or rift valleys. These are also known as constructive boundaries. Convergent boundaries are areas where plates move toward each other and collide.

Explanation:

Meaning the answer to your question is depending on what type of tectonic plate interaction is occurring will depend on how the plates interact.

Prime meridian (lines of longitude) would be represent by 180 degree

Answer: Option C

Explanation:

The longitudes are vertical lines, and they intersect with latitudes to form grids. Sunlight takes about 4 minutes to pass from one grid to another.  So, they are designated either West or East, besides their number in order to identify the location.

East longitudes cover 180 degrees and West ones cover west. So, totally there are 360 degree longitudes, having one standard one, called Prime Meridian. The Prime Meridian stays at the center of the earth, and hence termed as the center longitude and noble of all the verticals.

Final answer:

The 180-degree line of longitude represents the International Date Line, which is significant for timekeeping and not to be confused with the Prime Meridian or lines of latitude such as the Equator. The International Date Line does not strictly follow the 180-degree meridian due to political adjustments.

Explanation:

The line that is represented by 180° in terms of longitude is known as the International Date Line. This meridian is on the opposite side of the Earth from the Prime Meridian (0 degrees longitude) and serves a crucial role in timekeeping and calendar days. It is important not to confuse the International Date Line with lines of latitude such as the Equator, or with other notable longitudes like the Prime Meridian.

Lines of latitude are parallel to the Equator and include notable lines such as the Tropic of Cancer, the Tropic of Capricorn, Arctic Circle, and Antarctic Circle. In contrast, lines of longitude, or meridians, like the Prime Meridian and the International Date Line, span from the North Pole to the South Pole, converging at the poles. Latitude lines measure north-south positions, while longitude lines measure east-west positions on the Earth's surface.

The International Date Line roughly follows the 180-degree line of longitude but has been adjusted for political reasons to aid in keeping the same date within certain countries and islands. Crossing this line results in changes to the calendar date. Going westward across it leads to the day going forward, while traveling eastward causes the day to go backward by one.

Answer:

C: equal to mg

Explanation:

in free-fall, gravity is always the net force on an object

The net force on an object that is thrown upward is less than mg (the object's mass times gravity). This is because the force of gravity is working against the motion of the object, making the net upward force less than the downward force of gravity.

The question is related to Physics, more specifically the concepts of forces and gravity. When an object is thrown upward, it experiences a downward force due to gravity which is equal to its mass (m) times the acceleration due to gravity (g), written as mg. Nevertheless, there is also an upward force exerted on the object, which is why it can ascend.

In the scenario described in the question, where an object is thrown straight up, the net force on an object while the object is going up is less than mg. This is because the force of gravity (mg) is effectively acting downwards, while a smaller net force is acting upwards, making the net force on the object less than mg during ascent.

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Answer:

5 ) The mass, 6) with lubrication and using surfaces that are not rough

Explanation:

5) If two bodies are held regardless of their densities and can be combined by some chemical or physical process, the only physical property to be modified will be the mass of the resulting body.

8)

Friction depends on the contact between two surfaces and when a body has a relative motion with respect to a contact surface. In order to reduce friction the contact surface must be lubricated, also the friction depends on the coefficient of friction between surfaces and the normal force exerted by the surface parallel to the area of contact with the body. Mathematically it can be expressed with the following equation.

[tex]F_{f} = u*N\\where:\\u = friction coefficient\\N = normal force [Newtons]\\F_{f}= friction force [Newtons][/tex]

Answer:

60 rad/s

Explanation:

∑τ = Iα

Fr = Iα

For a solid disc, I = ½ mr².

Fr = ½ mr² α

α = 2F / (mr)

α = 2 (20 N) / (0.25 kg × 0.30 m)

α = 533.33 rad/s²

The arc length is 1 m, so the angle is:

s = rθ

1 m = 0.30 m θ

θ = 3.33 rad

Use constant acceleration equation to find ω.

ω² = ω₀² + 2αΔθ

ω² = (0 rad/s)² + 2 (533.33 rad/s²) (3.33 rad)

ω = 59.6 rad/s

Rounding to one significant figure, the angular velocity is 60 rad/s.

Pe = mgh.

14000 J = (40kg)(10m/s^2)(h)

h = 35 meters

The cannon ball was at a height of 35.71 meters to have the given potential energy.

To calculate the height of the cannonball, we can use the formula for gravitational potential energy: PE = mgh, where PE is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.

Rearranging the formula, we have h = PE / (mg).

Plugging in the given values, we get h = 14000 J / (40 kg * 9.8 m/s^2) = 35.71 m.

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Answer:

The time required is 28.5 [min]

Explanation:

We can find the time using the kinematic equation, but first, we must convert the distance to travel in meters.

x = distance = 12 [km] = 12000 [m]

velocity = 7 [m/s]

T[tex]t = \frac{x}{v} \\t=\frac{12000}{7} \\t=1714 [s] = 28.5 [min][/tex]

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Since Pluto is a dwarf planet, the correct option is B. 8

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Answer:

The kinetic energy is: 50[J]

Explanation:

The ball is having a potential energy of 100 [J], therefore

PE = [J]

The elevation is 10 [m], and at this point the ball is having only potential energy, the kinetic energy is zero.

[tex]E_{p} =m*g*h\\where:\\g= gravity[m/s^{2} ]\\m = mass [kg]\\m= \frac{E_{p} }{g*h}\\ m= \frac{100}{9.81*10}\\\\m= 1.01[kg]\\\\[/tex]

In the moment when the ball starts to fall, it will lose potential energy and the potential energy will be transforme in kinetic energy.

When the elevation is 5 [m], we have a potential energy of

[tex]P_{e} =m*g*h\\P_{e} =1.01*9.81*5\\\\P_{e} = 50 [J]\\[/tex]

This energy is equal to the kinetic energy, therefore

Ke= 50 [J]

Answer:

C. The atom gains 2 electrons to have a total of 18.

Explanation:

Step by step explanation:

A neutral Sulfur-36 atom has 16 electrons and the 16 protons (as the Sulfur atom is neutral, it should have same number of electrons as that of protons). The number of neutrons in Sulfur-36 is equal to total mass of sulfur (which is 36) minus the number of protons (which is 16), resulting in 20 (36-16=20). If sulfur-36 becomes  -2 charged ion, it needs to gain a negatively charged particles (i.e. electrons). An electron has a negative charge of -1. So sulfur-36 atom needs to gain 2 electrons to become -2 charged ion. Therefore the correct answer choice is C.

The net force is 2.2 N at 80.9 degrees south of east

Explanation:

In order to find the net force, we have to resolve each force along the x-y direction, and then add the components in each direction.

Taking east as positive x-direction and north as positive y-direction, we have:

- First force:

[tex]F_{1x} = -3.0 N\\F_{1y} = 0[/tex]

- Second force:

[tex]F_{2x} = (4.0)(cos (-33^{\circ})=3.35 N\\F_{2y} = (4.0)(sin (-33^{\circ})=-2.18 N[/tex]

Therefore, the components of the net force are

[tex]F_x = F_{1x}+F_{2x}=-3.0+3.35=+0.35 N\\F_y = F_{1y}+F_{2y}=0+(-2.18)=-2.18 N[/tex]

And so, the magnitude of the net force is

[tex]F=\sqrt{F_x^2+F_y^2}=\sqrt{(0.35)^2+(-2.18)^2}=2.2 N[/tex]

And the direction is

[tex]\theta=tan^{-1}(\frac{F_y}{F_x})=tan^{-1}(\frac{-2.18}{0.35})=-80.9^{\circ}[/tex]

which means 80.9 degrees south of east.

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Answer:

There are several reasons for the extinction of species. Some of these can include climate change, natural disasters, environmental destruction, or over-hunting. All of these factors can contribute to the deaths of various animals which ultimately leads to extinction if left unchecked.

Explanation:

Greater the collision

Explanation:

The greater the speed of gas particles in the containers, the greater the collision of gases with the container and between themselves.

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Answer:100 mph

Explanation:

When an object is thrown in a trajectory path the motion is called projectile motion. The horizontal component for the given projectile motion is 15.04 m/s.

[tex]V_x = u\rm \ sin{\theta}[/tex]

Where,

[tex]V_x[/tex] - Velocity in the X-axis

[tex]u[/tex]- initial velocity =25 m/s

[tex]\theta[/tex] =  angle of throw = 37 degrees

Put the values in the formula,

[tex]V_x = 25\rm{\ sin} \ 37^o\\\\\it{ V_x} = \rm 25\rm \times -0.64\\\\\it {V_x} = \rm 15.04 \rm \ m/s[/tex]

Therefore, the horizontal component for the given projectile motion is 15.04 m/s.

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Answer:

The answer is 8 [gr/cubic centimeter]

Explanation:

We know that the definition of the density is defined by the mass of the object or substance divided by its volume.

Therefore:

[tex]density=mass/volume\\mass= gramms, kilograms, pounds\\volume=cm^3, m^3, liters, gallons\\[/tex]

For this problem:

[tex]density =\frac{12}{1.5} \\density=8[grams/cm^3][/tex]

Chain reactions

Neutrons released in a fission reaction can strike other nuclei and cause chain reactions

Explanation:

In nuclear fission reactions, the heavier atoms split into into lighter atoms, releasing neutrons at high velocity in the process. The neutrons hit other heavier atoms in the vicinity and split them too releasing more neutrons. This continuation is called chain reaction. The more the released neutrons the higher the rate of chain reactions. This causes too much energy to be produced at a go until an enormous explosion occurs (like in bombs).

In controlled nuclear fission such as in nuclear reactors, the number of neutrons is controlled so as to prevent the reactor from exploding. A wall that absorbs excess neutrons is used to control the number of chain reactions to prevent the release of too much energy at once.

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Final answer:

Neutrons released in a fission reaction can cause chain reactions, which are sustained cycles of fission that release significant amounts of energy.

Explanation:

Neutrons released in a fission reaction can strike other nuclei and cause chain reactions. This process begins when a neutron collides with a nucleus, such as uranium-235, causing it to split into two smaller isotopes and release additional neutrons. If these neutrons then collide with other uranium-235 atoms, they can cause further fission, perpetuating the cycle. A sustained nuclear chain reaction can lead to the release of large amounts of energy, which is the principle behind both nuclear power generation and the explosive power of nuclear weapons.

Answer:

The wavelength will be 4 cm, frequency will be 4.66 Hz and wave speed is 18.6 cm/sec

Explanation:

Given:

No. of crest = 13

No. of trough = 15

Time = 3 seconds

Hence, 1 crest or 1 trough = [tex]\frac{1}{2}\lambda[/tex]

therefore,

13 C + 15 T = [tex]28(\frac{1}{2}\lambda)[/tex]

=[tex]14\lambda[/tex]

Time given 3 seconds

  = [tex]\frac{3}{14}s[/tex]

[tex]\nu= \frac{14}{3}[/tex]

[tex]\nu= 4.6 Hz \approx 5 Hz[/tex]

2 cm distance is travelled is time period

[tex]\lambda = 4 cm[/tex]

Again wave will travel in 1 T = 4 cm

wave speed v =[tex]\lambda\times\nu[/tex]

= [tex]4\times\frac{14}{3}[/tex]

= 18.6 cm/s

Answer:A

Explanation: density=mass/volume. Density is the measurement of how much mass is contained in a given volume of an object. It can also be defined as mass per unit volume. Mass is the amount of matter in an object while volume is a measure of how much space an object takes u or occupies

Using the ground as a reference point the total mechanical energy of  the rock climber is  213,621.15 J.

The total mechanical energy of the rock climber is the sum of its potential energy and kinetic energy. Potential energy is the energy an object has due to its position, while kinetic energy is the energy an object has due to its motion.

To calculate the potential energy, we can use the following formula:

PE = mgh

where:

PE is the potential energy (joules)

m is the mass of the object (kilograms)

g is the acceleration due to gravity (9.81 m/s²)

h is the height of the object above the ground (meters)

To calculate the kinetic energy, we can use the following formula:

KE = 1/2mv^2

where:

KE is the kinetic energy (joules)

m is the mass of the object (kilograms)

v is the velocity of the object (meters per second)

Plugging in the values, we get:

PE = (68 kg)(9.81 m/s²)(320 m) = 213,542.4 J

KE = 1/2(68 kg)(1.5 m/s)² = 78.75 J

Therefore, the total mechanical energy of the rock climber is:

ME = PE + KE = 213,542.4 J + 78.75 J = 213,621.15 J

So the answer is 213,621.15 J

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Complete question below:

A 68 kg rock climber is 320 meters above the ground and is moving upward at a speed of 1.5 m/s. Using the ground as a reference point, determine the total mechanical energy of the rock climber.

Answer:

yes inertia would cause you to crash into the windshield in an accident

It uses water to power large turbines.

Geothermal power taps on the energy of natural steam from the earth's lithosphere.

Explanation:

The heat from deep in the the lithosphere heats up underground water into high-pressure steam trapped in within the rocks. Boreholes are sunk to tap on the potential energy of this high-pressure steam to turn large dynamo turbines that convert the steam energy into electricity.

The biggest advantage, moreover, is the fact that this method of electricity generation does not emit greenhouse emissions as compared to gas plants that burn hydrocarbons that release CO₂.

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Answer:

0.14 kg

Explanation:

Weight is the mass of an object times the gravitational field strength.

w = m(9.8)

1.4 = m(9.8)

1.4/9.8 = 9.8m/9.8

.14 = m

Final answer:

To find the mass of the ball, the weight is divided by the gravitational field strength, resulting in a mass of 0.143 kg.

Explanation:

To calculate the mass of the ball, we can use the formula for weight (w), which is the gravitational force on mass (m):
w = mg.

Given that the weight (w) of the ball is 1.4 N and the gravitational field strength (g) is 9.8 N/kg, we can rearrange the formula to solve for mass (m):

m = w/g

Plugging in the known values, we get:
m = 1.4 N / 9.8 N/kg = 0.143 kg.

The mass of the ball is therefore 0.143 kilograms.

Answer:

l and lll

Explanation:

Answer:

II only

Explanation:

For heat to flow from one object to another, there must be a temperature difference between them. Temperature is a measure hotness or coldness of an object or a body.

An object consists of vibrating molecules, thus molecular kinetic energy. The measure of the average kinetic energy of an object is its temperature. Thus, when object A has higher temperature (hotter) than B, heat would flow from A to B.

Answer:

mantle

Explanation:

Answer:

The mantle. Its so hot it basically lava.

Explanation: