A hollow cylinder of mass M and radius R rolls down an inclined plane. a block of mass M slides down an identical inclined plane. if both objects are released at the same time,
a) the cylinder will reach bottom first
b)the block will reach the bottom first
c) the block will reach the bottom with greater kinetic energy
d) the cylinder will reach bottom with greater kinetic energy
e) the block and the cylinder will reach the bottom at the same time. ...?

Answer:

Wave and Biomass :)

Explanation:

The train is 650 m long and takes 52 seconds to cross an electric pole at a speed of 45 kmph.

To find the time taken by the train to cross an electric pole, we need to calculate the length of the train. The train crosses a platform 100 m long in 60 sec at a speed of 45 kmph.

First, we convert the speed from kmph to m/s by multiplying with 5/18, giving us:

[tex]45\times\frac{5}{18}[/tex]

The distance covered when the train crosses the platform is the length of the train plus the length of the platform.

The distance = Speed * Time

= 12.5 m/s * 60 s = 750 m

Since the platform is 100 m long, the length of the train is 750 m - 100 m = 650 m.

Now, to cross an electric pole, the train only needs to cover its own length, as the pole will be considered a point with no length. Therefore, the time taken to cross the electric pole is:

Time = Length of the train / Speed

Time = [tex]\frac{650}{12.5}= 52 seconds.[/tex]

So, the train takes 52 seconds to cross an electric pole.

The three ways you could cause the acceleration of a moving car are by pressing the acceleration pedal, applying the break, pushing the car, or by applying external force.

Acceleration is the rate at which an object's velocity with respect to time changes. In vector quantities, accelerations exist (in that they have magnitude and direction). The direction of the net force applied to the item determines the object's acceleration. According to the materials used to make the object, the magnitude of the net balance of all external forces acting on it is inversely proportional to its mass, but the magnitude of the net resulting force is directly proportional to the net force.

Acceleration: the rate at which the speed and direction of a moving object vary over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.

Therefore, the three ways you could cause the acceleration of a moving car are by pressing the acceleration pedal, applying the break, pushing the car, or by applying external force.

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Final answer:

The work done on a 75.0 kg man by gravitational force, as he is moved by an escalator to a vertical height of 4.60 m, is -3393 joules.

Explanation:

The question asks for the work done on a 75.0 kg man by gravitational force while he is being moved by an escalator to a vertical height of 4.60 m. The work done by gravity is calculated using the formula W = mgh, where W is the work, m is the mass, g is the acceleration due to gravity (9.8 m/s2), and h is the vertical height. Since the direction of gravitational force is downward, while the displacement due to the escalator is upward, the work done by the gravitational force will be negative.

To find the work done, we substitute the man's mass (75.0 kg) and the height (4.60 m) into the formula, then multiply by the gravitational constant:

W = (75.0 kg)(9.8 m/s²)(4.60 m)

W = 75.0 kg × 9.8 m/s² × (-4.60 m)

W = -3393 J

Therefore, the work done on the man by the gravitational force is -3393 joules.

Answer: Law of Conservation of Mass

Explanation:

A balanced chemical equation represents the 'Law of Conservation of Mass '

Law of Conservation of Mass states that  'in chemical reaction mass can neither be created nor be destroyed '.The total mass of the reactant in chemical reaction is equal to the total mass of the products formed in a chemical reaction.

For example : [tex]2H_2+O_2\rightarrow 2H_2O[/tex]

Mass of reactants = Mass of the products

mass of the reactants = 2(2 × 1) + (2 × 16) = 36 g/mol

Mass of the products = 2[(2 × 1 ) + (1 × 16)] = 36 g/mol

As from the above calculations, we find that the mass of the reactants is equal to the mass of the products. Hence, this equation follows law of conservation of mass.

A balanced chemical equation adheres to the law of conservation of mass, which asserts that matter is neither created nor destroyed in a chemical reaction.

Law Behind Balanced Chemical Equations:

The law that is represented by a balanced chemical equation is the law of conservation of mass. This fundamental law states that matter cannot be created or destroyed in a chemical reaction. Therefore, a balanced chemical equation ensures that the number of atoms for each element is equal on both sides, reflecting the unchanging total mass in the reaction.

To illustrate, look at the equation for the reaction of hydrogen with oxygen to form water: 2H₂(g) + O₂(g) → 2H₂O(l). This equation is balanced because it has the same number of hydrogen atoms (4 H atoms) and oxygen atoms (2 O atoms) on both the reactant and product sides.

Balancing chemical equations involves adjusting the coefficients before each substance so that the total number of atoms of each element is the same on both sides of the equation. This practice aligns with the law of conservation of matter, ensuring that the mass before and after the reaction remains constant, and only the arrangement of atoms changes to form new substances.

The solution to arctan[tan(7π/4)] is -(π/4).

To solve the expression arctan[tan(7π/4)], simplify it using the properties of trigonometric functions and inverse trigonometric functions.

First, examine the value of tan(7π/4). The tangent function has a period of π, meaning it repeats its values every π radians.

Therefore, find an equivalent angle within the range of one period (0 to π) that has the same tangent value.

7π/4 can be reduced to 3π/4 by subtracting 2π, as it falls within the same period.

Now, arctan[tan(3π/4)].

The arctan function (or inverse tangent) "undoes" the tangent function, giving us the original angle. However, it's important to note that arctan has a range of -π/2 to π/2.

The angle 3π/4 falls within the range of π/2 to 0, so its corresponding angle within the range of arctan is -(π/4).

Therefore, the solution to arctan[tan(7π/4)] is -(π/4).

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The force of friction between the 5kg aluminum block and the steel plank is 8N, calculated using the formula for friction (Friction = µN), with the coefficient of friction stated as 0.20 and the normal force as 40N.

In the given problem, the 5kg aluminum block is sliding on a horizontal steel plank with a constant velocity, which means it is in a state of equilibrium. In such a case, the force due to friction equals the external force applied on the block. From the information provided, the gravitational force and the normal force acting on the block are each 40N, implying that there is no net vertical force acting on the block.

The force of friction can be calculated using the formula: Friction = µN where µ is the coefficient of friction and N is the normal force. Given that µ is 0.20 (from the data provided) and N is 40N (the gravitational force acting on the block), we calculate the force of friction as follows: Friction = 0.20 x 40N = 8N

So, the force of friction acting on the 5kg aluminum block as it moves across a horizontal steel plank is 8N.

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Answer:

200 miles

Explanation:

Fish conservation zones extend as much as 200 miles from a nations' coast.

Coastal States exercising control over fisheries in the zone are naturally concerned that fishing vessels in their zones are merely passing through or are complying with applicable fishery regulations. This is to ensure that such vessels in transit do not engage in illegal fishing or otherwise violate fish conservation laws.

Answer : [tex]L=66.18\ kgm^2/s[/tex]

Explanation :

It is given that,

Mass, m = 5.7 kg

radius, R = 0.43 m

frequency, f = 20 rev/s

Angular momentum, [tex]L=I\omega[/tex]

I is the moment of inertia of disk, [tex]I=\dfrac{MR^2}{2}[/tex]

we know that, [tex]\omega = 2\pi \nu[/tex]

so, [tex]L=MR^2\pi \nu[/tex]

[tex]L= 5.7\ kg\times (0.43\ m)^2\times3.14\times 20\ rev/s[/tex]

[tex]L=66.18\ kgm^2/s[/tex]

Hence, the magnitude of angular momentum of spinning disk is [tex]66.18\ kgm^2/s[/tex].

Answer:

t = 0.55 s and t = 1.14 s

Explanation:

as we know that height in terms of time is given as

[tex]h = 3 + 27t - 16 t^2[/tex]

now we have to find the time at which its height is h = 13 ft

so here we can say

[tex]13 = 3 + 27 t - 16 t^2[/tex]

[tex]16 t^2 - 27 t + 10 = 0[/tex]

[tex]t = \frac{27 \pm \sqrt{27^2 - 4(16)(10)}}{2(16)}[/tex]

[tex]t = \frac{27 \pm 9.43}{32}[/tex]

[tex]t = 1.14, 0.55[/tex]

so it will be at h = 13 ft height at t = 0.55 s and t = 1.14 s

The work done moving a 25 N object 5 meters is calculated by multiplying the force by the distance (25N x 5m), resulting in 125 Joules.

In physics, the concept of work is defined as force applied times the distance the object is moved. In the case of your question, where you are moving a 25 N object a distance of 5 meters, the work done can be calculated using the formula Work = Force x Distance. So, here, the work done would be 25 N x 5 m = 125 N.m or 125 Joules.

Remember, in this context, the unit of work is expressed in Joules (J), which is equivalent to a Newton-meter (N.m).

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To solve this we must be knowing each and every concept related to mass. Therefore, 705.6N is the weight of a person whose mass is 72kg.

The density and kind of atoms in any particular item are described by mass, which is a scientific word. The kilogram (kg) is the SI measurement of mass, however mass could also be measured using pounds (lb).

Consider a pillowcase packed with feathers as well as a comparable pillowcase loaded with bricks to rapidly grasp the notion of mass. The bricks have a higher mass because of atoms in them are heavier and denser. As a result, even when the pillowcases have the same size and therefore are filled with the same extent, one has significantly more mass compared to the other.

weight= mass× acceleration due to gravity

weight= 72kg×9.8

          =705.6N

Therefore, 705.6N is the weight of a person whose mass is 72kg.

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the answer to the question is A.

Answer:

a

Explanation:

If energy decreases in one part of a system, energy will increase in another part of the same system. Therefore, option C is correct.

Energy can be transmitted from an object to do work and is thought of as a quantitative feature. Thus, we might characterize energy as the capacity to engage in any kind of physical action. As a result, the simplest way to describe energy is as the capacity for work.

When a system is heated or has work done on it by its environment, the internal energy of the system is constantly raised. Let's examine two situations that lead to an increase in a system's internal energy.

The process can continue if the free energy drops. The reaction can't continue if the free energy rises. If the system's free energy falls, a reaction is encouraged.

Thus, option C is correct.

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Answer: The true statement form the given statements is "the athlete is not doing any work because he does not move the weight.".

Explanation:

The formula for work done is as follows,

[tex]W = Fscos\theta[/tex]

Here, F is the force, s is the displacement and theta is the angle between force and displacement.

In the given problem, an athlete holds 50 kg on his head for 10 seconds. The angle between force and displacement is 90 degree.

In this case, the work done is zero.

Therefore, the athlete is not doing any work because he does not move the weight.

Final answer:

An object in free-fall near Earth's surface experiences a constant acceleration due to gravity, denoted by 'g' and averaging 9.80 m/s². This allows for uniform predictions of an object's motion when air resistance is negligible.

Explanation:

An object moving with constant acceleration near the surface of the Earth is primarily influenced by the acceleration due to gravity. This acceleration, commonly represented by the symbol g, has an average value of 9.80 m/s². It is important to note that this value can be considered constant when air resistance is negligible, thus letting us apply kinematics equations to any such falling object to predict its motion. The constant nature of acceleration due to gravity allows for a wide range of interesting physical problems and applications.

It is essential to understand that the force of gravity causes objects to fall towards the Earth's center, and it is this force that imparts uniform acceleration to free-falling objects. Furthermore, gravity's influence is such that even varying factors like latitude, altitude, and geographical differences only slightly alter its magnitude, and for most practical purposes in high school physics, the average value of 9.80 m/s² is used.

Answer:

Yes, the answer is correct.

Explanation:

Plastic is a good insulator of electricity and it prevents electric current from flowing into any living being that may come into contact with that wiring. Hence, the plastic tape and caps prevent any such contact with the live wiring making the entire system safe to be around.