a sphere of solid gold has a mass of 100 kg and the dinsity of gold is 19.3 g/cm^3 what is the radius of the sphere

A 10-kg crate sits on a horizontal floor. The maximum static friction that could be exerted on the crate is 58.8 N.

An object moving along a path is resisted by a force known as static friction. Lastly, use an easy example to comprehend it. Think about the activity we perform frequently called walking. We are constantly in contact with the floor while we work. Motion presses against the ground as we move it backward, and we then advance our feet.

One key concept to be aware of in order to minimize friction is the fact that it operates in the opposite direction from relative motion. This phenomenon may be useful for reducing the speed of the action until it eventually comes to a stop.

The force needed to move the crate is equal and opposite to the maximum force of static friction Fs=μsmg

where μs is the coefficient of static friction.

Therefore, the magnitude of the force parallel to the floor is

=> 0.60 x 9.8 x 10 N

=> 58.8 N

Therefore, The maximum static friction that could be exerted on the crate is 58.8 N

To know more about static friction refer to:

brainly.com/question/13000653

#SPJ4

The enthalpy of 36 g g of water vapor increases by 1830 j j when its temperature increases from 150∘c to 175∘c is 1830 J.

The enthalpy of 36 g of water vapor increases by 1830 J when its temperature increases from 150°C to 175°C. Assuming water vapor is an ideal gas, the change in enthalpy can be calculated using the following equation:

ΔH = Cp * m * ΔT

Where Cp is the specific heat capacity of the gas, m is the mass of the gas, and ΔT is the change in temperature. In this case, Cp = 1.88 J/g°C, m = 36 g, and ΔT = 25°C. Therefore, the change in enthalpy is:

ΔH = 1.88 * 36 * 25 = 1830 J.

To know more about specific heat capacity please refer:

https://brainly.com/question/29766819

#SPJ4

The recoil speed of the hunting rifle is found to be 2.06m/s.

The bullet is fired from the hunting rifle.

The mass of the bullet is 0.163 kg and it is fired at a speed of 812m/s.

The mass of the rifle is 2.06kg.

We know, from the conservation of momentum,

Initial momentum = final momentum

mv = MV

M = mass of rifle

V = recoil speed of the rifle

m = mass of bullet

v = speed of bullet.

Putting values,

0.163 x 812 = 2.06V

V = 6.42 m/s.

So, the recoil speed of the rifle is 6.42m/s.

To know more about recoil speed, visit,

https://brainly.com/question/15435914

#SPJ4

Complete question - A 30-60 caliber hunting rifle fired bullet of mass 0.163kg with a velocity of 812 m/s to the right the rifle has a mass of 2.06kg. what is the recoil speed of the rifle after bullet leave the rifle?

Joaquin reduces his force by using the lever by applying 208 N of force.

By using a lever with a mechanical advantage of 3,

Joaquin needs to apply only 1/3 of

The force he would need to lift the crate directly.

This means he needs to apply only 312 N / 3 = 104 N.

Therefore, Joaquin saves

312 N - 104 N = 208 N of force by using the lever.

The force amplified by utilising a tool, mechanical device, or machine system is known as mechanical advantage. To achieve the necessary output force amplification, the gadget trades off input forces against movement. The law of the lever serves as a paradigm for this.

For such more question on force

https://brainly.com/question/12785175

#SPJ4

The electric field strength at the point p is E = 1/(4πε₀) (q/9s²) N/C

The electric field strength at point p due to two charges (q, -q) at a distance s apart can be expressed as,

E = 1/(4πε₀) (q/s²).

Since the charges are moved apart to a distance 3s, the electric field strength at point p can be expressed as,

E = 1/(4πε₀) (q/9s²).

The SI unit of electric field strength is newton per coulomb (N/C). Hence the electric field strength at point p due to two charges (q, -q) at a distance 3s apart can be expressed in N/C as,

E = 1/(4πε₀) (q/9s²) N/C.

learn more about electric field Refer:brainly.com/question/26446532

#SPJ4

The satellite's orbital velocity is 7.7 x 10^3 m/s. As a result, the satellite's centripetal acceleration is 7.6 x 10^-3 m/s2.

Velocity is the directional speed of a moving object as an indicator of its rate of change in location as perceived from a certain frame of reference and measured by a specific time standard. Velocity is defined as the speed of a body in a certain direction. Velocity is defined as the rate of change in displacement with respect to time. The amount and direction of velocity are both vector variables. The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change.

Here,

a) To find the orbital velocity of the satellite, you need to use the formula:

v = (GM/r)^0.5

Plugging in the values, you get:

v = (6.67 x 10^-11 x 5.98 x 10^24 / (595 x 10^3 + 6.37 x 10^6))^0.5

v = 7.7 x 10^3 m/s

b) To find the centripetal acceleration, use the formula:

a = v^2 / r

Plugging in the values for v and r, you get:

a = (7.7 x 10^3)^2 / (595 x 10^3 + 6.37 x 10^6)

a = 7.6 x 10^-3 m/s^2

The orbital velocity of the satellite is  7.7 x 10^3 m/s. So, the centripetal acceleration acting on the satellite is 7.6 x 10^-3 m/s^2.

To know more about velocity,

https://brainly.com/question/13262345

#SPJ4

a. The weight of the motorcycle and rider would be 2450 N ,

b. The normal force is 2450 N.

c. Frictional force would be 750 N.

Friction is the force that opposes relative motion between two objects in contact. Frictional force is the force that opposes the motion or tendency of an object to move when in contact with another object. It acts in the opposite direction to the applied force. The magnitude of the frictional force depends on the nature of the surfaces in contact, the normal force between the surfaces, and the coefficient of friction between the surfaces.

a. The weight of the motorcycle and rider can be found using the formula:

Weight (N) = mass (kg) * 9.8 m/s^2

The mass of the motorcycle and rider is 250 kg, so:

Weight = 250 kg * 9.8 m/s^2 = 2450 N

b. The normal force is equal to the weight of the motorcycle and rider:

Normal force = 2450 N

c. Frictional force can be found by subtracting the force produced by the engine from the weight:

Frictional force = Weight - Engine force

Frictional force = 2450 N - 1700 N = 750 N.

To know more about relative motion, visit:

https://brainly.com/question/15836528

#SPJ1

The angle so that its range is ten times the maximum height of its trajectory is in the range of 0 to 90 degrees.

The range of a projectile can be calculated using the following formula:

Range = (V^2 sin(2θ)) / g

where V is the initial velocity, θ is the launch angle, and g is the acceleration due to gravity (9.8 m/s^2).

If the range is to be ten times the maximum height of the trajectory, we can equate the range and ten times the maximum height:

Range = 10 * (V^2 sin(θ)^2) / (2g)

Solving for θ:

θ = sin^(-1)(√(2g * Range) / (10 * V))

Note that the angle θ is above the horizontal and will be in the range of 0 to 90 degrees.

Learn more about projectile motion here: https://brainly.com/question/29545516

#SPJ4

No, a test charge cannot be moved between two points with a zero voltage.

Voltage is an electrical potential energy difference between two points in an electric field. It can be measured in volts, and describes the amount of energy available to move electric charges from one point to another.

This is because a voltage of zero implies that the electric potential between the two points is the same. Since the electric potential is the same at both points, the electric field strength between them is also the same. This means that any test charge placed in the field will experience no force and will not be able to move. In order to move the test charge, an external electric field must be applied to the two points, which will create a voltage difference between them and result in a force being exerted on the test charge, allowing it to move.

To learn more about voltage
https://brainly.com/question/1256531
#SPJ4

To produce an acceleration to a system, there must be a net force on the system.

Acceleration is the rate of change of velocity with respect to time. In other words, it is the measurement of how quickly an object's velocity changes over a period of time.

Acceleration can be described as positive, negative, or zero, depending on whether an object is speeding up, slowing down, or moving at a constant velocity. It is a vector quantity, with both magnitude and direction, and is typically measured in meters per second squared (m/s^2).

Newton's second law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. So, for an object to accelerate, there must be a net force acting on it, whether it's a single force or the result of multiple forces acting in different directions.

The presence or absence of acceleration outside the system is not a factor in determining the acceleration of the system.

Therefore, To produce an acceleration to a system, there must be a net force on the system.

To know more about acceleration refer to:

brainly.com/question/12550364

#SPJ4

The distance between the two station is 42Km.

The distance between stations A and B can be calculated using the average velocity formula:

(Starting speed plus ending speed) / 2 represents average speed.

Because we are aware of the length (20 minutes), starting speed (108 km/h), and finishing speed (144 km/h), we can calculate the average velocity:

126 km/hr is the average speed (108 + 144/2).

When the time is translated to hours, it is done as follows:

20 minutes (20/60 = 1/3 hour) is one hour.

We can use the following formula to calculate the distance between stations A and B: Velocity times time equals distance.

The formula for determining distance is Average Velocity * Time (126 * 1/3) = 42 km.

Consequently, 42 kilometers separate the two stations.

Learn more about distance:

https://brainly.com/question/29659384

#SPJ4

The complete question is-

A train moving with a uniform acceleration, crosses station A with a velocity of 108 kmph and another station B with a velocity of 144 kmph. The time taken for the train to travel from A to B is 20 minute. The distance between the two station is __?

Only blue light can be reflected or transmitted by a substance that absorbs wavelengths longer than blue.

Is all light reflected in white?

We are aware that white items reflect white light because they contain white pigments. White things reflect all light and do not absorb any since white is the culmination of all light.

Only red and green light will be reflected off the garment if it absorbs blue light. As a result, only red and green light will reflect from the shirt when red, green, and blue light are shining upon it. Because yellow always appears when red and green light strike your sight, the garment will appear yellow. This serves to clarify how color subtraction works.

To learn more about white light use link below:

https://brainly.com/question/166544

#SPJ4

Yes, Jupiter could hold on an atmosphere of hydrogen molecules if you moved it to 0.5AU from the Sun because the gas velocity of hydrogen of 2691 m/s is less than the escape velocity of Jupiter of 9916 m/s.

Escape velocity is the minimum speed that an object must have in order to overcome the gravitational pull of a planet or moon and escape into space. It is a measure of the strength of the gravitational field at a given distance from the center of a celestial body.

The escape velocity is determined by the mass and radius of the planet or moon, and it increases as the mass and radius of the celestial body increase. For example, the escape velocity of Earth is about 11.2 km/s, while the escape velocity of Jupiter is about 60 km/s, due to its much larger mass and radius compared to Earth.

Therefore, Yes, Jupiter could hold on to an atmosphere of hydrogen molecules if you moved it to 0.5AU from the Sun because the gas velocity of hydrogen of 2691 m/s is less than the escape velocity of Jupiter of 9916 m/s.

To know more about escape velocity refer to:

brainly.com/question/14297933

#SPJ4

Explanation:

As the air temperature increases, the saturation vapor pressure will increase.

The correct option is option E) three times slower than on Earth.

The acceleration due to gravity near the surface of Mars is about one-third of the value near the Earth's surface, which is approximately 3.71 m/s^2. On Earth, the acceleration due to gravity is approximately 9.8 m/s^2.

Gravity is a fundamental force of nature that acts between any two masses. It is what holds the planets in orbit around the Sun, and what keeps the Moon in orbit around the Earth.

The strength of the gravitational force between two objects depends on their masses and the distance between them.

The final velocity of an object falling under the influence of gravity can be calculated using the equation:

vf = vi + g * t

where:

vf = final velocity

vi = initial velocity (assumed to be zero for an object dropped from rest)

g = acceleration due to gravity

t = time of fall

If a rock fell for the same amount of time on Mars and Earth, the final velocity of the rock on Mars would be:

vf = vi + 3.71 m/s^2 * t

and the final velocity of the rock on Earth would be:

vf = vi + 9.8 m/s^2 * t

Since the time of fall is the same in both cases, we can see that the final velocity of the rock on Mars would be one-third of the final velocity of the rock on Earth. So, the speed with which the rock hit the ground on Mars would be lower than the speed with which it hit the ground on Earth.

Therefore, The correct option is option E) three times slower than on Earth.

To know more about gravity refer to:

brainly.com/question/14874038

#SPJ4

Electric potential on Conductor A will be lesser than electric potential on Conductor B.It means VA < VB.So,correct option is c.

The electric potential (likewise called the electric field potential, expected drop, the electrostatic potential) is characterized as the need might have arisen to move a unit of electric charge from a reference highlight the particular point in an electric field. All the more definitively, it is the energy per unit charge for a test charge that is little to the point that the unsettling influence of the field viable is immaterial.

Moreover, the movement across the field should continue with immaterial speed increase, to stay away from the test charge getting motor energy or delivering radiation. By definition, the electric potential at the reference point is zero units. Regularly, the reference point is earth or a point at limitlessness, albeit any point can be utilized.

We know that for sphere electric potential is given by the below formula

V=Q/4π∈₀r

It means V is inversely proportional to radius of sphere.

Since,conductor A has larger radius as compared to conductor B,so electric potential of conductor A will be lesser than as compared to conductor B.

Hence, option c is correct.

To know more about electric potential, visit here:

https://brainly.com/question/28444459

#SPJ4

(Complete question) is:

Two spherical conductors are separated by a large distance. They each carry the same positive charge Q. Conductor A has a larger radius than conductor B.Compare the potential at the surface of conductor A with the potential at the surface of conductor B.

a. VA > VB

b. VA = VB

c. VA < VB

d)None of these

a) The direction and magnitude of the gravitational force acting on this. proton is  1.64 × 10⁻²⁶ N, Downwards.

b) the direction and magnitude of the electrostatic force acting on this proton is 8.96 × 10⁻¹⁴ N, Upwards.

c) the direction and magnitude of the acceleration of this proton is 5.37 × 10¹³ m/s, Upwards

a. the direction and magnitude of the gravitational force acting on this proton,

Weight = 1.67 × 10⁻²⁷ × 9.8²

= 1.64 × 10⁻²⁶ N, Downwards

b. the direction and magnitude of the electrostatic force acting on this proton,

Fₑ = 1.6 × 10⁻¹⁹ × (560000 n/c)

= 8.96 × 10⁻¹⁴ N, Upwards

c.  the direction and magnitude of the acceleration of this proton,

a = [tex]\dfrac{F_{net}}{m}[/tex]

= (8.96 × 10⁻¹⁴)/(1.67 × 10⁻²⁷)

= 5.37 × 10¹³ m/s, Upwards

To know more about magnetic field, click the link given below:

https://brainly.com/question/14848188

#SPJ4

When imagining two identical houses, one located at the top of a hill and the other at the bottom of a valley, it is important to consider several factors before determining which one would be the preferred location to take a shower.

One of the primary factors to consider is the water pressure. Generally, the higher the elevation, the lower the water pressure. If the house at the top of the hill is located at a significantly higher elevation than the house at the bottom of the valley, then it may have lower water pressure, making for a less enjoyable shower experience.

Another factor to consider is the temperature of the water. In some cases, the water temperature can be affected by the location of the house and the proximity to a water source.

In addition to water pressure and temperature, the quality of the shower itself is also an important factor to consider.

This includes the size of the shower, the type of showerhead, and the overall cleanliness and maintenance of the shower. If both houses have identical showers, then this factor becomes less of a concern.

In conclusion, while the location of the house (top of a hill or bottom of a valley) may play a minor role in determining the quality of the shower, it is not the deciding factor.

to know more about identical houses refer here

https://brainly.com/question/28833797#

#SPJ11

the radius of the plane's path should be 1612.24 m.

Velocity of the plane = 400 mph

Gravity = 9.8 m/s2

In 0.1g, the acceleration is 0.98 m/s2

Centripetal acceleration= Velocity2/Radius

0.98 = (400)2/Radius

Radius = 4002/0.98 = 1612.24m

the radius of the plane's path should be 1612.24 m.

What is radius?

Radius is a measure of distance from the center of a circle or sphere to its circumference or surface. It is equal to half the diameter of a circle or sphere. It is also the length of a line segment connecting the center of a circle to any point on its circumference. Radius is used to calculate the area and circumference of a circle or sphere. It is also used to calculate the volume of a sphere.

Therefore, the radius of the plane's path should be 1612.24 m.

To learn more about radius

Here: https://brainly.com/question/27696929

#SPJ4

In heather's physics class, she had to solve the equation 7=12at2+ut for u. The correct answer is B.

A formula known as an equation uses the equals sign to express how two expressions are equal. Finding the values of the variables that result in the equality is the first step in solving an equation with variables.

The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions.

The equation 7 = 1/2 at² + ut can be solved as follows:

7 = 1/2 at² + ut

First we can subtract 1/2 at² from each side

7 -1/2 at² =  1/2 at² + ut - 1/2 at²

7 -1/2 at² = ut

Then we must divide by t

(7 -1/2 at²)/t = ut/t

Then we can solve it

(7 -1/2 at²)/t = u

Your question is incomplete the missing option attached below

Learn more about equation at https://brainly.com/question/9183973

#SPJ4

The tension in the string is 0.344 Newton, if the mass of the ball is 4.5 gm and the charge on the ball is 5 μc in an electric field of 6×10⁴ N/C.

Mass of the ball, m = 4.5 gm = 4.5 × 10⁻³ kg

Weight of the ball, w = 4.5 × 10⁻³ × 9.81 = 44.145 × 10⁻³ N = 0.044 N

Charge on the ball, q = 5 μC = 5 × 10⁻⁶ C

Intensity of electric field, E = 6×10⁴ N/C

Downward force on the ball due to charge, F = qE

F = 5 × 10⁻⁶ × 6×10⁴ = 0.3 N

Total downward force = 0.3 + 0.044 = 0.344 N

To know more about electric field, here

https://brainly.com/question/15800304

#SPJ4

"As Earth and the other planets of the solar system cooled, the sun’s energy gradually replaced the heat of planet formation in maintaining their temperatures".

As the solar system cooled, the sun's energy became the primary source of heat for the planets, replacing the heat generated during the process of planet formation. This process allowed the planets to maintain their internal heat and solidify into the solid bodies we observe today. The sun's energy also drives atmospheric and climatic processes, such as the winds and storms on Earth, and it provides the light that allows life to exist on our planet.

The balance between the sun's energy and the internal heat of a planet is crucial for its ability to maintain its environment and support life.

Learn more about planet earth here: brainly.com/question/18116899

#SPJ4

The amount of heat released is 180J if a 10.0-gram piece of aluminum is cooled from 70 degrees Celsius to 50 degrees Celsius

Given the mass of aluminum (m) = 10g

The initial temperature (T1) = 70°C

The final temperature is (T2) = 50°C

The specific heat of aluminum is (C) = 0.9J/g°C

We know that q = mcΔT where q is the heat released.

Specific heat, the amount of energy needed to raise a substance's temperature by one degree Celsius in one gram.

q = 10 x 0.9 x (70 - 50)

q = 180J

Hence the heat released when the temperature of aluminum is decreased is 180J

To learn more about specific heat click here https://brainly.com/question/1747943

#SPJ4

Referring to the sketch of a planet around the sun, Area A is three times that of Area B the time [tex]t_{a}[/tex] is three times [tex]t_{b}[/tex] .

The orbit of an object is its course through space. Kepler first believed that planets' orbits were circular, but this incorrect assumption prevented him from discovering orbits that were consistent with Brahe's observations. He ultimately learned from the data for Mars that its orbit resembled an elliptical version of a slightly flattened circle. The ellipse is the most basic closed curve after the circle and is a member of the conic section family of curves.

This characteristic proposes a quick method for creating an ellipse. Two tacks are inserted into a drawing board through a sheet of paper, and the ends of a loop of string are wrapped around them to create slack by a planet.

Learn more about planet

brainly.com/question/14581221

#SPJ4

The initial velocity of the particle is the value of v at t = 0, which is given by the equation v = v0. Therefore, v0 is the initial velocity of the particle. Hence, the initial velocity is 0.5m/s.

Velocity is the rate of change of an object’s position relative to a frame of reference, and is a function of time. It is usually described in terms of the speed and direction of an object's movement. Velocity can be either a vector quantity (having both magnitude and direction) or a scalar quantity (just magnitude). Initial velocity is the velocity of an object at the start of its motion. To calculate the initial velocity of an object, you will need to know the final position, final velocity, acceleration, and time.

To learn more about velocity click here https://brainly.com/question/18084516

#SPJ4

complete question: A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity on the vertical axis. Note that by definition, velocity and acceleration are vector quantities. In straight-line motion, however, these vectors have only a single nonzero component in the direction of motion. Thus, in this problem, we will call v the velocity and a the acceleration, even though they are really the components of the velocity and acceleration vectors in the direction of motion, respectively. What is the initial velocity of the particle, v0 ?

If speed s as well as rate r are identical, then r = s = d/t. You can substitute d = rt, which stands for "distance equals rate times time," in place of the this formula. Use the speed formula, s = d/t.

which states that speed is equal to distance divided by time, to answer either speed or rate. Use the time formula, t = d/s, which asserts that time is equal to distance divided by speed, to solve for time.

Use the speed formula, s = d/t, which stipulates how speed is equal to distance divided by time, to calculate either speed or rate. Use the time formula, t = d/s, which stipulates because time is equal to distance divided by speed, to solve for time. Companion Calculators Strength is a metric that is misunderstood. Tensile strength will be dragged up through one boater.

To know more about speed click here

brainly.com/question/28224010

#SPJ4

In the case where the period is 2.2 x 104 s, the rotational speed is given by 1 / 2.2 x 104 = 4.55 x 10-5 rad/s. Utilizing the equation v = r, we can find the tangential speed. in which the rotating speed is

The linear or tangential speed is denoted by v.

r stands for radius. The result is that v = 4.55x10-5(1.8x108), or 5.1 x 104 m/s.

To refer to the item or person that is the target of an action, we typically use the word "object." Alternatively, the recipient. In a sentence, a verb's action is transferred to a noun or pronoun as a direct object. Usually, it responds to the inquiries what or whom. relating to the verb.

To know more about Object visit:

https://brainly.com/question/12569661

#SPJ1

kcal/kg specific heat capacity = 5 J/°C.Its 5 J/kg°C specific heat capacity follows from this.

A substance's specific heat capacity can be determined using the formula below:Inferring the substance's specific heat capacity from this data and the formula above is as follows:

= 5 J/kg °C

where:

C is the specific heat capacity.

Q = thermal energy

m equals material mass

T is the temperature change.

Q = 5200J, m = 2kg, and T = 47 - 42 = 5°C are all values we may deduce from the question.

Inferring the substance's specific heat capacity from this data and the formula above is as follows:

= 5 J/kg °C

Its 5 J/kg°C specific heat capacity follows from this.

To learn more about specific heat capacity refer to:

https://brainly.com/question/28825214

#SPJ1

Biomass is not the only way to store energy. It's utilised in some biological activities. The procedure that results in offspring is referred to as reproduction.

The power used to carry out a task is known as energy. Although energy cannot be generated, it may be moved and transformed into several forms. Through the process of photosynthesis, plants utilise the energy from sunlight to create food, which is subsequently stored in the form of biomass. When plants are consumed by herbivores and other animals, the energy is then transferred to other living creatures.

Reproduction, which takes place when an egg and sperm combine to produce a foetus, is the process of creating children. The sperm neck requires an energy source to be able to move actively during.

For such more question on Biomass.

https://brainly.com/question/23010230

#SPJ4

At 10 meter / 33 feet total pressure and the air density is 2 times as great as at the surface.

At a depth of 10 meters (33 feet) underwater, the total pressure is approximately 2 bar or 30 pounds per square inch (psi). The air density at this depth is approximately 4 times greater than at the surface, due to the increased pressure. In an underwater environment, the total pressure increases with depth due to the weight of the water column above. This increase in pressure leads to an increase in air density, which affects the behavior of gases and can have an impact on breathing, buoyancy, and other physical processes. It is important to be aware of the effects of pressure and air density changes when diving, as they can have a significant impact on safety and comfort. This is why proper training, equipment, and dive planning are crucial for safe and successful underwater diving.

To know more about density please refer: https://brainly.com/question/29775886

#SPJ4

Answer:Pressure increases by one bar/ata for every 10 metres/33 feet of depth. So, at 10

metres/33 feet, the total pressure is 2 bar/ata (one from water pressure and one from atmospheric pressure). Density increases proportionally, so at 2 bar/ata the density is 2 times as great, at 3 bar/ata the density is 3 times as great, etc.

Explanation: I took a test and this was the answer