In Set B, explain the difference in the magnitudes of the gravitational forces between the two pairs of objects

Answer:

7.5 seconds

Explanation:

Required equation: Power = work done / time

Power = 400 W

Work done = 3000J

Time = ?

To find the time taken we need to rearrange the formula into:

Time = work done / power

This turns our formula into:

3000 ÷ 400 = 7.5 seconds

Meaning our answer is 7.5 seconds

Hope this helps have a lovely day :)

Answer: 1140 km

Explanation: You would just add 760 to 760/2 because the airplane travels 760 km in 1 hour (760 km/h means 760 km every 1 hour)  and travels 380 km in half an hour. Add those up and you would get 1140 km.

Answer:

\(f=1/2\pi *\sqrt{k/m}\)

Explanation:

This is the equation of the frequency of a spring in the horizontal direction.

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Kinematics in real world.

So, as given here, we have to find the Mass of the bus from the given momentum, so we get as,

P = m * V

momentum = mass * velocity

here, P= 152625 kgm/s and v= 11.1 m/s

so substituting we get as,

m = 152625 ÷ 11.1 => 13,750 kg

hence,the mass of the bus is 13,750 kg.

Answer:

a

Explanation:

The correct answer would be that the apparent depth of the object is less than the real depth.

The refractive property of light as it passes from air to water would make the depth of the pool appear less shallow than the actual depth to an observed. Hence, an object placed at the bottom of the pool will have an apparent depth that is shallower than its actual depth.

Due to the difference in the density of air and that of water, as the ray of light from an observer standing at the edge of a swimming pool travels from air into the water, it becomes refracted by bending away from the original traveling angle.

The same refraction occurs when light rays from an object inside the pool travel from water into the air. Hence, due to the refraction of the ray of light coming from the object at the bottom of the pool, the depth appears shallower than the actual depth.

Correct option: a

Answer:

true

Explanation:

Gravity (or the acceleration due to gravity) is 9.81 meters per second squared, on the surface of Earth, because of the size of Earth and the distance we are on its surface from its center.

Answer:

Earth Day is observed globally

Explanation:

When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to  4.18×10⁹ kg.

The mass of each comet int he Oort cloud is,

mass = density × Volume

volume of sphere = 4/3(π×r²) where, r = radius of the sphere

From the given,

diameter = 1 km

radius = Diameter / 2 = 1/2(D)

Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)

                                   = 4/3×(π) ×(1/8×10⁶)

Mass = density  × volume, where density = 1000 kg/m³

         = 1000  × 4/3×(π) ×(1/8×10⁶)

        = 4.18 ×10⁹ kg

When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.

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No. The potential of a non-uniform charged sphere cannot be the same as that of a point charge.

The potential at any point in space is determined by the distribution of charge within the system, and a non-uniform charged sphere has a different charge distribution than a point charge.

A point charge has all of its charges concentrated at a single point, while a non-uniform charged sphere has charge distributed throughout its volume.

As a result, the electric field and potential will be different for these two systems, even if they have the same total charge. Therefore, the potential of a non-uniform charged sphere cannot be the same as that of a point charge.

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The velocity of the car is 5.5 m/s. Then the centripetal acceleration of the car will be 0.6 m/s².

Acceleration is a physical quantity measuring the rate of change in velocity. It has both magnitude and direction.

Centripetal acceleration is the acceleration of an  object moving through a circular path. Thus its measures the rate of change in velocity of the body moving in the curvature path.

The centripetal acceleration = V²/R.

Where R is the radius of the curvature path.

The car moves 50 m in 9 seconds. Its velocity is 50/9 = 5.5 m/s.

Thus, centripetal acceleration = (5.5 × 5.5) m/s/ 50 m = 0.6 m/s².

Therefore, the centripetal acceleration of the car moving at a speed of 9 m/s through curvature path is 0.6 m/s².

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Answer: A : 250 is the answer

B; The frequency of a wave is the number of complete oscillations (cycles) made by the wave in one second.

Instead, the wavelength is the distance between two consecutive crests (highest position) or 2 troughs (lowest position) of the wave.

In this problem, we are told that the leaf does two full up and down bobs: this means that it completes 2 full cycles in one second. Therefore, its frequency is

where  is called Hertz (Hz). So, the correct answer is

Explanation:

#Wavespeed

#1

\(\\ \rm\Rrightarrow v=\nu\lambda=500(3)=1500m/s\)

#2

\(\\ \rm\Rrightarrow v=2(0.4)=0.8m/s\)

#Wavelength

#1

\(\\ \rm\Rrightarrow \lambda=\dfrac{v}{\nu}=\dfrac{3}{2}=1.5m\)

#2

\(\\ \rm\Rrightarrow \lambda= \dfrac{1450}{40000}=0.03625m\)

#Frequency

\(\\ \rm\Rrightarrow \nu=\dfrac{v}{\lambda}=\dfrac{8}{20}=0.4Hz\)

#2

\(\\ \rm\Rrightarrow \nu=\dfrac{3\times 10^8}{15\times 10^{-2}}=0.2\timee 10^{10}=2\times 10^9Hz\)

Answer:

Explanation:

ΔPE = mgΔh = 14(10)(1.8) = 252 J

The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

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The acceleration is 7m/s².

For Part a, we can use the equation of motion for constant acceleration:

v f = v_0 + a x t

where v f is the final velocity, v_0 is the initial velocity, a is the acceleration, and t is the time. Since the final velocity is 0, we can write:

t =  -v 0 / a

Next, we can use the distance formula:

d = v_0 x t + 0.5 x a x t²

where d is the distance traveled. Plugging in the value of t from the previous equation, we get:

d = v_0 x (-v_0 / a) + 0.5 x a x (-v_0 / a)²

d = -v_0² / 2a

Now, we can solve for v_0 using the value of d:

v_0 = (2 x a x d) = (2 x 18 x 300)=  102.9 feet/s

For Part b, we can use the equation for t from Part a:

t = -v_0 / a = -102.9 / 18 = 5.71 s

Acceleration is the rate of change of velocity of an object over time. It is a vector quantity with units of meters per second squared (m/s²) in the SI system. Acceleration can be caused by various factors such as force, changes in velocity, and changes in direction. Positive acceleration indicates that the velocity of an object is increasing, while negative acceleration indicates that the velocity is decreasing. In a uniform acceleration, the velocity of an object changes by an equal amount over equal time intervals.

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Answer: mass is neither created nor destroyed

Explanation: For example, the carbon atom in coal becomes carbon dioxide when it is burned. The carbon atom changes from a solid structure to a gas but its mass does not change.

A glass marble has an average volume of about 2 cm3. When discussing the volume of a marble, you want to know how much space the object occupies.

What is the volume of each marble?

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Answer:

The net force on the desk is zero.

The point that represents maximum potential energy is W.

The point that represents potential energy at 0 joules is Z.

The point that represents potential energy at 50 percent is Y.

The point that represents maximum kinetic energy is X.

Potential energy is the energy held through an object because of its function relative to other items, stresses inside itself, its electric-powered fee, or different elements. potential energy is energy this is saved – or conserved - in an object or substance. This saved energy is based totally on the position, arrangement, or state of the object or substance.

Potential energy refers to the stored energy within an object that exists because of the item's role, country, or arrangement. Potential energy is the strength this is stored in an item because of its function relative to some 0 roles. An item possesses gravitational capability strength if it is located at a top above (or beneath) the zero top.

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Answer:7.5. 10^4 J

Explanation:

Answer:

The Kinetic Energy of the car at that instant will be 123,210 Joules.

Explanation:

Given:

Mass=500 Kg

\(Speed= 80 km/h=\frac{80*1000}{3600}\ m/s =22.2 m/s\)

Required:

Kinetic energy (K.E)=?

Formula:

\(K.E=\frac{1}{2}mv^{2}\)

Where:

m is the mass.

v is the speed.

Solution:

\(K.E=\frac{1}{2}mv^{2}\\K.E=\frac{1}{2} *500* (22.2)^{2} \\K.E=123,210 J\)

The Kinetic Energy of the car at that instant will be 123,210 Joules.

The frictional force of the wind on water produces surface currents that travel in a pattern analogous to "wind currents".

Wind, temperature, water density, and the moon's gravitational pull may all affect ocean currents.

Wind-driven waves, sometimes referred to as surface waves, are created by friction between the wind and the water's surface. When wind constantly disturbs the surface of an ocean or lake, a wave crest is created.

Friction slows the wind, which also changes its direction. This phenomenon might lead to surface roughness variations along regional boundaries or turbulence in winds near the surface. Turbulence stirs the lower atmosphere.

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To calculate the refractive index of the liquid, we can use the formula for the radius of the nth bright ring in Newton's rings: \(r_n\) = √(n × λ × R). Therefore, the refractive index of the liquid is approximately 1.378.

\(r_n\) =  √(n × λ × R) (formula )

Where: \(r_n\) is the radius of the nth bright ring,

n is the order of the ring,

λ is the wavelength of light,

and R is the radius of curvature of the lens.

the third bright ring (r_3 = 3.65 mm = 0.365 cm), the radius of curvature of the lens (R = 10 m = 1000 cm), and the wavelength of light (λ = 0.0000589 cm).

n = \(r_n\) / √(n × λ × R)

Substituting the given values:

n = 0.365 / √(3 × 0.0000589 × 1000)

Calculating the value:

n ≈ 1.378 ( refractive index)

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a) The main advantages of an epicyclic gearbox are:

b) i) Using the formula for the gear ratio of an epicyclic gear train:

T4/T3 = (t2/t1) x (t5/t2) x (t4/t5)

T4/30 = (1/2) x (60/20) x (40/60)

T4 = 40 Nm

ii) From the law of gearing for an epicyclic gear train:

w21 = (t3/t2) x (t5/t4) x w31 - (t3/t2) x w2

Substituting the given values:

w21 = (30/20) x (60/40) x 200 - (30/20) x 100

w21 = 150 rad/s

iii) The fixing couple that must be applied to wheel 5 can be found from the power transmitted by the gear train:

P = w3 x T3 = w2 x T2 = w1 x T1

Substituting the given values:

9 kW = 200 rad/s x 30 Nm = w2 x T2 = w2 x 20 Nm

w2 = 450 rad/s

T2 = (9 kW) / (450 rad/s) = 20 Nm

The fixing couple that must be applied to wheel 5 is equal in magnitude and opposite in direction to T2, so it is -20 Nm.

iv) The tangential force at the pitch point between wheels 3 and 4 can be found from the formula:

Ft = (2 x Pd) / (m x z3)

where Pd is the diametral pitch, m is the module, and z3 is the number of teeth on wheel 3.

Substituting the given values:

Pd = 25.4 / 5 = 5.08 teeth/inch

z3 = t3 / m = 30 / 5 = 6 teeth

Ft = (2 x 5.08) / (5 x 6) = 0.846 N

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Answer:

C

Explanation:

Because its a region of high biological productivity with a lot of water organism allowing for high reflectivity of sonar pulse mimicking ocean bottom

Answer:

Mirror used in automobile and trucks for wider area and smaller image is convex mirror.

W =  F x d

\(\tt d=\dfrac{W}{F}=\dfrac{560}{8}=70~m\)

Answer:

Static electricity : is a familiar electric phenomenon in which charged particles are transferred from one body to another

Ohm's law : states that the voltage or potential difference between two points is directly proportional to the current or electricity passing through the resistance

The unit vector notation in the given direction is \(0.58 \hat x + 0.81 \hat y\).

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

In terms of subtracting a vector, it works the same as adding the vector's opposite.

Given that:

\(\vec A = 22 \hat x + (-14)\hat y,\\\vec B = 2.5\hat x + 13\hat y.\)

( two given vectors are written here.)

Therefore: the subtraction of these two vectors will be:

\(\vec A - \vec B = (= 22 \hat x + (-14)\hat y) - (2.5\hat x + 13\hat y)\\= 19.5\hat x - 27 \hat y\)

Unit vector in that direction of vectors  is =

\(= \frac{19.5\hat x - 27 \hat y}{\sqrt{19.5^2 + (-27)^2} } \\= 0.58 \hat x + 0.81 \hat y\)

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Answer: 0.390625 grams

Explanation:

A half-life of an element is the amount of time that it takes for half the mass of the element to decay.

Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.

If there are 20 days, find out how many half-life periods there are:

= 20 / 2.5

= 8 periods

The half life is:

= Original mass * 0.5^number of half-life periods

= 100 * 0.5⁸

= 0.390625 grams

Answer:

It will take 0.46 seconds to reach home plate by ball.

Explanation: