Why does Jupiter have greater mass then other planets?

The maximum torque exerted by a 50-kg person riding a bike when putting all her weight on each pedal while climbing a hill is 88.2 Nm.

Torque is the product of force and lever arm. The maximum torque exerted by a 50 kg person riding a bike when putting all her weight on each pedal while climbing a hill is calculated using the following formula;

torque = force x lever arm

The person's weight (50 kg) is converted to Newtons.

The weight of the person can be calculated as;

mass = 50 kg

acceleration due to gravity, g = 9.8 ms-2

weight, W = mass x g

Substituting the values in the formula,

W = 50 kg × 9.8 ms-2W

= 490 N

The maximum torque is exerted when the force is perpendicular to the radius when the pedal is horizontal. The torque equation then becomes;

torque = force x lever arm

The maximum torque, T = force x lever arm

where,

force = 490 N and lever arm = 0.18 m (18 cm converted to meters)

T = 490 N x 0.18 m

T = 88.2 Nm

Therefore, the maximum torque exerted by a 50-kg person riding a bike when putting all her weight on each pedal while climbing a hill is 88.2 Nm.

To know more about the torque, visit:

brainly.com/question/31323759

#SPJ11

The magnitude of the linear acceleration of the pack can be calculated using the following equation:a = (T - Fr) /m where a is the magnitude of the linear acceleration of the pack,T is the tension force of you on the pulley,Fr is the frictional force, and m is the mass of the pack.Substitute the given values to the formula:a = (T - Fr) / ma = (266.3 - Fr) / 23.4.

The frictional force can be determined using the moment of inertia of the pulley.I = mr²I = 2.85 kg-m²m = I / r²m = 2.85 / 0.43²m = 15.57 kgFr = maFr = 15.57 × aa = (266.3 - 15.57a) / 23.4Solve for a by multiplying both sides by 23.4:23.4a = 266.3 - 15.57a23.4a + 15.57a = 266.3a = 266.3 / 39.97a = 6.66 m/s².

Therefore, the magnitude of the linear acceleration of the pack is 6.66 m/s².If instead of using a pulley with two radii, you were to replace the two radii pulley with a simple pulley of one radius, it will be harder to hold the pack.

Learn more about magnitude:

https://brainly.com/question/24468862

#SPJ11

Answer:

Digesting a salad

Explanation:

All the other ones are physical changes because you're changing its form but not its chemical identity and not changing the substance. Digesting a salad is a chemical change because you're both changing its form AND its chemical identity

The speed of the wind is 17 mph and the speed of the plane in still air is 119 mph.

Let the speed of the plane be x and the speed of the wind be y. Then, the speed of the plane with the wind becomes x + y, while the speed of the plane against the wind is x - y.

The distance traveled with the wind in 3 hours is 408 miles.

Therefore, we can write the equation as:

3(x + y) = 408

Divide both sides by 3:

x + y = 136  .... (1)

The distance traveled against the wind in 4 hours is also 408 miles.

Therefore, the equation can be written as:

4(x - y) = 408

Divide both sides by 4:

x - y = 102  .... (2)

Now we can solve these two equations using the elimination method.

Add equations (1) and (2):

x + y + x - y = 136 + 1022x = 238x = 119 mph

Therefore, the speed of the plane in still air is 119 mph.

Now, substitute this value of x in equation (1):

119 + y = 136y = 17 mph

Therefore, the speed of the wind is 17 mph.

Learn more about the speed at https://brainly.com/question/13943409

#SPJ11

The correct question is:

A plane flies 408 mi with the wind in 3 hr. The return trip takes 4 hr. What is the speed of the wind and the speed of the plane in still air?

The magnitude of the velocity vector can be determined by calculating the centripetal acceleration of the particle and applying it to the following equation: ac = v2/r, where ac is the centripetal acceleration, v is the velocity, and r is the radius of the circular path.

When an electrically charged particle is in motion, it generates a magnetic field. The direction of the magnetic field vector is given by the right-hand rule. The right-hand rule suggests that the thumb points in the direction of the charge's velocity, the fingers curl around in the direction of the magnetic field, and the palm points in the direction of the force vector. If the particle's charge is positive, the magnetic force vector and velocity vector would be in the same direction.

The magnitude of the magnetic force is given by the equation Fm = qvB sinθ, where q is the charge of the particle, v is the velocity of the particle, B is the magnetic field, and θ is the angle between the magnetic field and the velocity vector. If the particle's velocity vector is perpendicular to the magnetic field, the angle between them is 90 degrees, and the force is the greatest. When the angle between the velocity vector and the magnetic field is zero, the magnetic force is zero, and when the angle is 180 degrees, the force is also zero.

This is because the sin(0) and sin(180) are both equal to zero.The velocity vector of a charged particle moving through a uniform magnetic field would be circular. This is due to the fact that the magnetic force vector is perpendicular to the velocity vector, which means that it constantly changes the direction of the velocity vector. The centripetal force responsible for the circular motion of the charged particle is provided by the magnetic force. The particle's velocity and magnetic field are both perpendicular to the magnetic force, resulting in circular motion.

For more such questions on velocity

https://brainly.com/question/18042435

#SPJ8

Answer: skeletal system and nervous systems

Explanation:

Many different body systems work together to perform daily functions in life. The skeletal system and nervous systems work together to produce movement and keep your organs functioning.

Explanation:

unbalanced: a turning vehicle, apple falling on the ground, kicking a ball

balanced: floating on water, fruit hanging from tree, tug of war equally balanced teams

The maximum height up to which the mass reaches above its initial position is 71cm.

According to the law of conservation of energy, energy can never be created nor be destroyed so all the energy of the spring will be converted into the potential energy of the mass.

Now, we can calculate the height till which the mass will reach in the air from its initial position,

1/2Kx² = Mgh

Where,

K is the spring constant,

x is the compression in the spring,

M is the mass of the object,

g is the gravitational acceleration and,

h is the height till reach the mass will be launched in the air.

It is given to us that the spring constant is 585N/m, the mass of the object is 2.3 kg and 8 is producing a compression of 21.5cm in the spring.

Now, putting all the values to find the vertical height of the object,

1/2(585)(0.215)² = 2.3(9.8)h

h = 0.49m

h = 49cm.

So, the vertical height of the object will be 49 centimetre.

The distance from initial position is 71cm.

To no more about potential energy, visit,

https://brainly.com/question/14427111

#SPJ4

Work is the same as energy. With the use of energy formula, the work done is 4 J

The work done on an object can be defined as the product of force and distance in the direction of the force. It is synonymous to energy and it is measured in Joule.

Given that a person lifting a 2.0-kg object from the bottom of a well at a constant speed of 2.0 m/s for 5.0 s.

The given parameters are

Work = Energy = 1/2mv²

W = 1/2 × 2 × 2²

W = 0.5 × 2 × 4

W = 4 Joules

Therefore, the much work that is done by the person is 4 Joules.

Learn more about Work here: https://brainly.com/question/25573309

#SPJ1

A hot dense object would produce a continuous spectrum, while hot gas (i.e., hot low-density object) would produce an emission line spectrum. On the other hand, our Sun shows an absorption line spectrum.

1. Continuous Spectrum: A hot dense object, such as a solid or a dense gas, produces a continuous spectrum. This spectrum consists of an uninterrupted range of colors or wavelengths, with no distinct lines or gaps. It appears as a smooth, rainbow-like spectrum and is characteristic of objects that emit light at all wavelengths.

2. Emission Line Spectrum: A hot gas, or a low-density object, produces an emission line spectrum. This spectrum consists of a series of bright, colored lines against a dark background.

Each line corresponds to a specific wavelength of light that is emitted when electrons in the atoms or ions of the gas transition from higher to lower energy levels. These lines are unique to the element or molecule present in the gas and can be used to identify its composition.

3. Absorption Line Spectrum: Our Sun, like many other stars, exhibits an absorption line spectrum. This spectrum consists of a continuous spectrum with dark lines superimposed on it. These dark lines, also known as absorption lines, are caused by the outer atmosphere of the Sun (the photosphere) absorbing specific wavelengths of light emitted by the hotter interior.

The absorption lines correspond to the specific wavelengths of light that are absorbed by different elements or molecules present in the Sun's atmosphere. By studying these lines, scientists can determine the chemical composition and physical properties of the Sun and other stars.

To know more about Continuous Spectrum refer here

https://brainly.com/question/1852852#

#SPJ11

The voltage drop across the circuit, given that 0.05 A flows in the circuit is 1.25 V

This law states as follows:

V = IR

Where

From the question given above, the following data were obtained:

V = IR

V = 0.05 × 25

V = 1.25 V

Therefore, the voltage drop across the circuit is 1.25 V

Learn more about Ohm's law:

https://brainly.com/question/796939

#SPJ1

The time it takes the motorboat to cross the river is approximately 73.40 seconds.

The velocity of the motorboat with respect to the river is v_b = 4.00 m/s at an angle of 30° north of east with the north direction. The river flows south with velocity v_r = 1.90 m/s. The width of the river is d = 700 m. We need to find the time t it takes the motorboat to cross the river.

Step 1: Find the velocity of the motorboat with respect to the ground - The velocity of the motorboat with respect to the ground can be found using the velocity addition formula:

v_bg = v_b + v_r

where v_bg is the velocity of the motorboat with respect to the ground.

v_bg = (4.00 m/s)² + (1.90 m/s)² + 2(4.00 m/s)(1.90 m/s cos 30°)

v_bg = sqrt(22.76) m/s

v_bg ≈ 4.78 m/s

Step 2: Find the time to cross the river - The time to cross the river is given by the distance across the river divided by the component of the velocity of the motorboat with respect to the ground perpendicular to the river, which is v_bg sin 30°.

t = d / (v_bg sin 30°)

t = 700 m / (4.78 m/s)(0.5)

t ≈ 73.40 s

Therefore, the time it takes the motorboat to cross the river is approximately 73.40 seconds.

Learn more about velocity visit:

brainly.com/question/30559316

#SPJ11

Answer:

projectiles is an object

Explanation:

projectiles moves freely under the influence of gravity and air resistance

The differential equation which describes the temperature of the object over time is;

dH/dt = -k (H-S), where k = 0.97. The solution to this differential equation is given by H(t) = S + 65e^(-0.97t).

Newton’s law of heating and cooling is an application of the first law of thermodynamics. The law suggests that the rate of change of temperature of an object is proportional to the difference between its temperature and the temperature of the surroundings.

A warm object is placed in a refrigerator where the surrounding temperature is cooler, and the temperature of the object decreases. This phenomenon can be explained using differential equations. Given that H(t) is the temperature of the object being cooled and S is the surrounding temperature, the differential equation which describes the temperature of the object over time is given by;dH/dt = -k (H-S)

where k is the constant of proportionality.To solve this differential equation, we can use separation of variables, such that;

dH/dt = -k (H-S)dH/(H-S) = -k dt

Integrating both sides, we get;ln|H-S| = -kt + Cwhere C is the constant of integration.Rearranging, we have;

|H-S| = e^(-kt+C)

At time, t = 0, H = 100 and after 30 minutes the object is 75 degrees; t = 0.5 hours, H = 75. We can use these values to solve for C and k as follows;

|100-35| = e^(C) => 65 = e^(C)     …(1)

and|75-35| = e^(-0.5k+C) => 40 = e^(C) e^(-0.5k) => e^(-0.5k) = 40/65 => e^(-0.5k) = 8/13 => -0.5k = ln(8/13) => k = -2ln(8/13) => k = 0.97    …(2)

Substituting equation (1) into (2), we get;H-S = 65e^(-0.97t)  =>  H(t) = S + 65e^(-0.97t)

Therefore, the differential equation which describes the temperature of the object over time is;dH/dt = -k (H-S), where k = 0.97.

The solution to this differential equation is given by H(t) = S + 65e^(-0.97t).

The differential equation which describes the temperature of the object over time is;

dH/dt = -k (H-S), where k = 0.97. The solution to this differential equation is given by H(t) = S + 65e^(-0.97t).

Learn more about temperature at: https://brainly.com/question/27944554

#SPJ11

Answer:

1/4

Explanation:

If the distance between two charges is doubled, the attraction of repulsion between the two becomes weaker, and decreases to 1/4 of the original value.

Answer:

True

Explanation:

If acceleration points in the same direction as the velocity, the object will be speeding up. And if the acceleration points in the opposite direction of the velocity, the object will be slowing down.

Inertia is the resistance of an object to a change in its state of motion. The more mass an object has, the more inertia it has. Correct answer: B. Dump out some of the soil.

Therefore, by dumping out some of the soil from the truck, the mass of the truck is decreased, which in turn decreases its inertia.

Therefore, the correct answer is option B.

Learn more about Inertia at: https://brainly.com/question/1140505

#SPJ11

Transparent materials are preferred for magnifying glasses because they allow light to pass through, resulting in clear and accurate images with natural colors. The quality of the material used is also important for achieving clarity and preventing distortion.

Magnifying glasses are typically made from transparent materials such as glass or plastic because they need to allow light to pass through them to form an image. When light passes through a transparent material, it refracts or bends, which is what allows the lens to focus the light onto a small point.

The quality of the material used to make the magnifying glass is important as it affects the clarity and sharpness of the image produced. The material should be free from impurities and scratches to prevent distortion of the image.

Transparent materials are also preferred for magnifying glasses because they allow us to see the object being magnified in its natural colors. If the material were opaque, the colors would be distorted or blocked altogether, making it difficult to see the object clearly. Overall, using transparent materials for magnifying glasses allows for clear, sharp images with accurate colors, making them ideal for a wide range of applications.

To learn more about magnifying glasses

https://brainly.com/question/14961076

#SPJ4

The required volume of the gas is 0.52 L.

Diminishing the volume of a contained gas will expand its tension, and expanding its volume will diminish its strain. As a matter of fact, on the off chance that the volume increments by a specific variable, the tension declines by a similar element, as well as the other way around.

V1 = 1.56 L, P1 = 1 atm, P2 = 3 atm,

To find: V2 of gas

So, P1V1 = P2V2

V2 = P1V1/P2

V2 = 1.56(1)/3 = 0.52 L

Thus, required volume of gas is 0.52L

To know more about Pressure of gas Visit:

brainly.com/question/29341536

#SPJ4

Correct question:

A gas occupies 1.56 l at 1.00 ATM what will be the volume of this gas if the pressure becomes 3.00 ATM

The true azimuth of the AB alignment is 91º 52' (east of north), the magnetic azimuth is 100º 22' (east of north), and the grid azimuth is 108º 52' (east of north).

To find the true azimuth, magnetic azimuth, and grid azimuth of the AB alignment, we need to consider the magnetic declination. The magnetic declination indicates the angle between true north and magnetic north at a specific location. In this case, the magnetic declination is 8º 30' E, which means that the magnetic north is 8º 30' east of the true north.

To calculate the true azimuth, we subtract the magnetic declination from the grid azimuth. The grid azimuth is given as 100º 22', so subtracting the magnetic declination of 8º 30' E gives us a true azimuth of 91º 52' (east of north).

The magnetic azimuth remains the same as the grid azimuth, which is 100º 22' (east of north).

The grid azimuth is calculated by adding the magnetic declination to the true azimuth. Since the magnetic declination is east, we add it to the true azimuth. Adding 8º 30' E to the true azimuth of 91º 52' gives us a grid azimuth of 108º 52' (east of north).

Learn more about magnetic declination here:

https://brainly.com/question/18597422

#SPJ11

The magnitude and direction (inward or outward) of the net flux through the cell boundary is - 0.887 wb.m².

Flux describes any effect that appears to pass or travel through a surface or substance.

The magnitude and direction (inward or outward) of the net flux through the cell boundary is calculated as follows;

Ф = Q/ε

where;

Φ = (-7.85 x 10⁻¹²)/(8.85 x 10⁻¹²)

Φ = - 0.887 wb.m²

Learn more about flux here: https://brainly.com/question/10736183

#SPJ1

Answer:

it is an ionic compound

Explanation:

Answer:

hurricanes last longer that tornadoes

Answer:

Its d 3.74 x 10-8N

Explanation:

Answer: 3.74 x 10-8 N

Explanation:

Answer: Hello there

Explanation:

The colored part of the eye which helps regulate the amount of light entering the eye. When there is bright light, the iris closes the pupil to let in less light. And when there is low light, the iris opens up the pupil to let in more light. Focuses light rays onto the retina.

#1

\(\\ \tt\rightarrowtail \dfrac{a_1}{a_2}=\dfrac{(v1)^2r}{(v2)^2r}\)

\(\\ \tt\rightarrowtail \dfrac{a_1}{a_2}=\dfrac{r^3\omega_1^2}{r^3\omega_2^2}\)

\(\\ \tt\rightarrowtail \dfrac{a_1}{a_2}=\dfrac{(328)^2}{(542)^2}\)

\(\\ \tt\rightarrowtail a_1:a_2=107584:293764\)

#2

\(\\ \tt\rightarrowtail v_1:v_2=328:542=164:271\)

Answer:

When you take the compass away from the bar magnet, it again points north. So, we can conclude that the north end of a compass is attracted to the south end of a magnet. ... In Experiment 2, when you move the north pole of a magnet toward the south pole of the other magnet, the two magnets attract.