Use your bicycle to go to the market near your home. Come back to your home by using a different path. Measure and note down the time in seconds and distance in meters, from home to market, and from market to home. Calculate your speed for approach and return.

The angle θ for connecting member a to the plate so that the resultant of f a fa and f b fb is directed along the positive x axis are:

Fa=8sin54.93 in x direction

Fb=6sin40 in x direction

Resultant=10.4

The term magnitude is defined as the “how much of a quantity”. For instance, magnitude can be used for explaining the comparison between the speeds of a car and a bicycle. It can also be used to explain distance travelled by an object or to explain the amount of an object in terms of its magnitude.

In Physics, magnitude is defined as maximum extent of the size and the direction of an object. Magnitude is used as a common factor in the vector and scalar quantities. By definition, we know that the scalar quantities are those quantities that have magnitude only. Whereas the vector quantities are those quantities that have both magnitude and direction.

There are the different ways in which magnitude can be used. Some of them are:

The magnitude of a number, unlike magnitude of a physical quantity, is not relative to a scale or set of units: the magnitude of 100 is 100. By contrast, magnitude of a ruler is 12 in inches but is 30.48 in centimeters. Outside of the pure mathematics one has to be careful to specify the units in which the magnitude of some quantity is measured.

Therefore magnitude of resultant is:

=\(\sqrt{8sin54+936sin40}\)

=10.4

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\( \bf\sf \underline{Given: - }\)

\( \bf\sf \underline{To \: Find: - }\)

\( \bf\sf \underline{Solution: - }\)

We know that, to find the Kinetic energy we are required mass and velocity and Here Both parameters are provided But mass is in gram so we need change it into kg,

1g = 0.001kg,

⠀⠀⠀50g = 0.05g

Now we know the formula of Kinetic energy,

\( \sf \boxed{ \star\bf{\: Kinetic \: energy = \frac{1}{2} m {v}^{2}}} \\ \\ \qquad \qquad = \frac{1}{ \cancel2} \times 0.05 \times \cancel{20}\times 20 \\ \\ \qquad \qquad =0.05 \times 200 \\ \\ \qquad \qquad \sf = 10J \: \)

Hence, the kinetic energy of the pebble is 10J.

The density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.

The given parameters:

The molecular mass of the SF₆ gas is calculated as follows;

M of SF₆ = 32 + (6 x 19) = 146 g/mol

The density of the SF₆ gas is calculated by applying ideal gas law as follows;

\(PV = nRT\\\\PV = \frac{m}{M} RT\\\\PM = \frac{m}{V} RT\\\\PM = \rho RT\\\\\rho = \frac{PM}{RT}\)

where;

\(\rho = \frac{0.5 \times 146}{0.0821 \times 300} \\\\\rho = 2.96 \ g/l\)

Thus, the density of the SF₆ gas at the given pressure and temperature is 2.96 g/l.

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Answer:

if no mistaken then it is 300kN

Explanation:

Using SI units (the default if a system is not specified) 200T = 200000kg as the mass of the whale, it would weigh 1960kN in 1g Earth gravity.

On the Moon, the acceleration is 0.166g, to it would weigh about 330kN.

Answer:

Explanation:

Since the mass of a whale is 200 tons on earth, and the moon has a lighter gravity compared to the earth is about 1/6 as powerful,  the whale would weigh 33.33 tons with the last 3 repeating forever. so about 33 and one third ton on the moon.

This is talking about weight, which is how much it would take to lift this object, but the mass is the the same as mass isn't affected by gravity, only weight is affected by gravity.

Hope this helps!

The phenomenon is the term that best describes the phrase "something that happens", therefore the correct answer is option D.

The deliberate, scientifically justified quest and utilization of knowledge and comprehending of the natural and improvements in living standards are what is known as science.

As given in the problem,

Which term best describes the phrase "something that happens"?

A. Experiment

B. Observation

C. Hypothesis

D. Phenomenon

The phenomenon is the term used to define the process of happening things that may be natural or anthropologic.

Thus, The phrase "something that happens" is best described by the word "phenomenon," hence option D is the appropriate response.

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the average power output of the sun is 3.8 × \(10^{26}\) W given that about 1350 w/m2 reaches the upper atmosphere of the earth.

As we know intensity falling over a surface is equal to Energy falling per unit area per unit volume.

I = \(\frac{Energy}{area*time}\)

Since Power is equal to energy/time

I = power/area

or

Power = Intensity × area

Now, Distance from Sun to Earth , r = 149.6 ×\(10^{9}\)  m

So, Surface area of the sphere of radius is:

A = 4 π \(r^{2}\)

= 4 × 3.14 × (149.6 × \(10^{9}\))²

=  2.81 × \(10^{23}\)m²

Thus Average Power output of the sun will be:

P = 1350 × 2.81 × \(10^{23}\)

= 3.7935 × \(10^{26}\)

P = 3.8 ×    \(10^{26}\)  W

So the average power output of the sun is 3.8 × \(10^{26}\) W.

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Answer:

Thrust / Lift / Gravity

Explanation:

He must create enough force of thrust to jump for a short time and gravity pulls him back down almost immediately.

Answer:

gravity and resistance, the man is moving so the force is unbalanced

Explanation:

Answer: 2.2 seconds!

Explanation:

The answer is approximately 2.2 seconds.

To find this, we can apply the equations of motion for a rolling sphere on an incline. Since the ball is starting from rest, its initial velocity is 0 m/s. We also know the angle of inclination (15.4°) and the distance the ball must travel (4.4m).

Using the equations of motion, we can solve for the acceleration of the ball, which is given by:

a = g*sin(θ)

where g is the acceleration due to gravity (9.81 m/s2) and θ is the angle of inclination (15.4°).

So, the acceleration of the ball is:

a = 9.81 * sin(15.4°) = 3.15 m/s2

Now we can use the equations of motion to solve for the time it will take for the ball to travel the 4.4m.

The equation for displacement is given by:

x = 1/2 * a * t^2

Where x is the displacement (4.4m in this case), a is the acceleration (3.15 m/s2) and t is the time.

Rearranging the equation to solve for t, we get:

t = sqrt(2x/a)

Substituting in the values for x and a, we get:

t = sqrt(2*4.4/3.15) = 2.2 s

Therefore, it will take the basketball approximately 2.2 seconds to roll 4.4m down the incline.

Climate change has significant impacts on various aspects of our planet, including the environment, ecosystems, economies, and human well-being.

Increasing global temperatures lead to more frequent and intense heat waves, the melting of polar ice caps and glaciers, and changes in weather patterns.  Reducing greenhouse gas emissions through transitioning to clean and renewable energy sources and implementing energy efficiency measures in buildings, transportation, and industries is a good action plan.

As temperatures rise, glaciers and ice caps melt, resulting in the rise of sea levels. This poses risks to coastal communities, infrastructure, and ecosystems. Action plans may involve the development of coastal protection measures, such as building sea walls or restoring natural buffers like mangroves and wetlands.

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Minimum of 166.67-N input force would be required to lift a 500-N load using this system.  To calculate the input force required to lift a 500-N load, we need to use the system of mechanical advantage.

The mechanical advantage can be defined as the ratio of the load resistance (output force) to the applied effort force (input force).

Mechanical Advantage = Load Resistance/ Effort force

MA = LR/EF

It is given that the load is 500-N. To calculate the effort force, we need to determine the mechanical advantage of the system.

Let's assume the mechanical advantage of the system is 3:1. This implies that for every 3 units of load resistance, we need to apply 1 unit of effort force.

MA = 3:1LR

= 500-NEF

MA = LR/EF3

= 500/EF3 × EF

= 500EF

= 500/3EF

= 166.67-NA

Minimum of 166.67-N input force would be required to lift a 500-N load using this system.

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The drink that will be evaporating fastest is tea.

The rate of evaporation of a liquid depends on several factors, including the temperature, the humidity of the surrounding air, and the surface area of the liquid. In general, liquids with higher temperatures evaporate faster than liquids with lower temperatures, assuming the other factors are held constant.

In this case, Sophie has a hot cup of tea, which means that the tea has a higher temperature than Martin's cold cola. Therefore, Sophie's tea is more likely to be evaporating faster than Martin's cola. However, the humidity of the surrounding air and the surface area of the liquids can also have an effect on the rate of evaporation, so it's possible that other factors could be influencing the evaporation rates as well.

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Answer:

-1.24 m/s

Explanation:

Total momentum before collision = total momentum after collision

Total momentum before collision = (mass of full back * velocity of fullback) + (mass of lineman * velocity of line man).

Mass of full back = 112 kg, mass of line bag = 120 kg, velocity of full back  6 m/s (east), velocity of line back = -8 m/s (west). Hence:

Total momentum before collision = (112 * 6) + (120 * -8) = 672 - 960 = -288 kgm/s

The total momentum after collision = (mass of full back + mass of line back) * velocity after collision.

Let velocity after collision be v, hence:

The total momentum after collision = (112 + 120)v = 232v

Total momentum before collision = total momentum after collision

-288 = 232v

v = -288 / 232

v = -1.24 m/s

Therefore after collision, the two players would move at a velocity 1.24 m/s west (the same direction as the lineman).

Answer:

This is just simple math. Your answer would be 26.7 m/s

Explanation:

Answer:

0 Newtons

Explanation:

The velocity of the object does not change, it is a constant 54 km/hr. When velocity does not change, acceleration is zero. Using the formula Force = mass x acceleration, we find:

mass = 1200 kg

acceleration = 0

F  = (1200)(0) = 0

Answer:

Eastward, at 11 m/s^2

Explanation:

64N-31N=unbalanced force of 33N

F=ma

33N=(3kg)a

a=11m/s^2 to the East

Answer:

No

Explanation:

the unit of velocity is m/s and the velocity is written as 35m/s not 35 k/m

Both conclusions are incorrect. The first conclusion "No, you didn't allow for reaction time" suggests that the experiment was not accurate due to not considering the reaction time. This statement is correct as reaction time can have a significant impact on the accuracy of an experiment. Therefore, the experiment cannot be considered more accurate.

The second conclusion "My result is the best that you can get with this method. No, reaction time didn't matter because I had to react twice and it cancelled out" is also incorrect. While it is possible to cancel out the effect of reaction time by repeating the experiment, it is not a reliable method. The accuracy of the experiment cannot be determined solely based on the number of times it was repeated. Additionally, other factors like human error, measurement tools, and environmental conditions can also affect the accuracy of an experiment.

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Answer:

having or representing the sun as the centre, as in the accepted astronomical model of the solar system.

Explanation:

Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Universe. Historically, heliocentrism was opposed to geocentrism, which placed the Earth at the center.

Answer:

7.5 m

Explanation:

Answer:

12.7 m

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 56.7 Km/hr

Maximum height (h) =..?

First, we shall convert 56.7 Km/hr to m/s. This can be obtained as follow:

Initial velocity (m/s) = 56.7 x 1000/3600

Initial velocity (m/s) = 15.75 m/s

Next, we shall determine the time taken to get to the maximum height. This can be obtained as follow:

Initial velocity (u) = 15.75 m/s

Final velocity (v) = 0 m/s

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

v = u – gt (since the ball is going against gravity)

0 = 15.75 – 9.8 × t

Rearrange

9.8 × t = 15.75

Divide both side by 9.8

t = 15.75/9.8

t = 1.61 secs.

Finally, we shall determine the maximum height as follow

h = ½gt²

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) = 1.61 secs.

Height (h) =..?

h = ½gt²

h = ½ × 9.8 × 1.61²

h = 4.9 x 1.61²

h = 12.7 m

Therefore, the maximum height reached by the ball is 12.7 m

Newton's third law of motion states that for every action, there is an equal and opposite reaction. The action-reaction pair is used to describe the interaction between two objects. Therefore, when a car is speeding up as it drives along a level road, an action-reaction pair occurs.

An action-reaction pair is a pair of forces that are equal in strength and opposite in direction. When an object exerts a force on another object, the second object exerts an equal and opposite force on the first object. The action-reaction pair when a car speeds up as it drives along a level road can be explained as follows: Action force: The car exerts a force on the road in the forward direction. This is the action force. Reaction force: The road exerts a force on the car in the backward direction. This is the reaction force.

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With "toward the wall" designated as the positive direction, the average acceleration felt the ball in the 0.0158 s of contact with the wall is

\(a_{\rm ave} = \dfrac{-26.412\frac{\rm m}{\rm s} - 28.4\frac{\rm m}{\rm s}}{0.0158\,\mathrm s} ≈ \boxed{-3470 \dfrac{\rm m}{\mathrm s^2}}\)

The kinetic energy of another body having three times the mass of the given object will be 108 J

Kinetic energy-In physics, the kinetic energy of an object is the energy  it has due to  motion. It is defined as the work required to accelerate a body from a given mass from rest to a specified speed.

The kinetic energy of a body is given by \(K.E= \frac{1}{2}Mv^{2}\) (first equation)

Given K.E= 36J

Now the mass of second body is m=3M

also the second body is moving with the same speed v

So kinetic energy of second body K.E₂= \(\frac{1}{2}mv^{2} =\frac{1}{2}(3M)v^{2}\)=36×3

=108J (from first equation)

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Answer:

Calculate its momentum. Solution:

Given,

Mass of an object (m)=12kg

Velocity (v)=3m/s

then,

p=36kg m/s

Explanation:

while finding momentum ,we should use the formula p=mv

Answer:water

Explanation:

Water may be a nutrient that makes up 60% of our body weight. it's important in many functions, it's part of every cell in every tissue in the body.

Water carries other nutrients to all or any parts of the body, it carries waste out of the body and it helps to manage body temperature. When you run or play sports your body heats up pretty quickly.

Your body starts to sweat as a way to get rid of the heat. When the sweat evaporates on your skin your body and blood get cool. it's very important to replace the fluid that is lost by sweating so as not to become dehydrated.

If you get dehydrated the body cannot cool itself anymore and your performance will drop. Without enough water, whether you're exercising or sitting all day, you're at risk for dehydration which can be fatal

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Answer:

  15.8 N

Explanation:

The component in a given direction is the magnitude of the applied force, multiplied by the cosine of the angle between its application and the direction of interest.

The horizontal component is ...

  (20 N)cos(38°) ≈ 15.8 N

A string exerts a force of 20 N on a box at an angle of 38° from the horizontal. What is the horizontal component of the force on the box?

15.8 N

Answer:

constellation is just a name for a set of stars that are perceived, from an earth viewpoint, to make a form in tge night sky…. the Plough, the Great Bear, for example. A galaxy is a formation of stars that are revolving around a centre, our own solar system lies in the outer edge of the galaxy known as the Milky Way.

Explanation:

To find the scattered wavelength at 90°, we can use the Compton scattering formula:

λ' - λ = (h / m_e * c) * (1 - cosθ)

Where:
- λ' is the scattered wavelength
- λ is the initial wavelength (200.0 pm = 200.0 x 10^-12 m)
- h is Planck's constant (6.626 x 10^-34 J·s)
- m_e is the electron mass (9.10938356 x 10^-31 kg)
- c is the speed of light (299,792,458 m/s)
- θ is the scattering angle (90° = π/2 radians)

Substituting the values into the formula, we have:

λ' - 200.0 x 10^-12 m = (6.626 x 10^-34 J·s / (9.10938356 x 10^-31 kg) * (299,792,458 m/s)) * (1 - cos(π/2))

Calculating the right side of the equation:

λ' - 200.0 x 10^-12 m = 2.426 x 10^-12 m

Simplifying the equation:

λ' = 200.0 x 10^-12 m + 2.426 x 10^-12 m

λ' = 202.426 x 10^-12 m

Therefore, the scattered wavelength at 90° is approximately 202.426 pm.

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