The sides of a right triangle that has any given vector for the hypotenuse are called _____
A. Scalar
B. Component
C. Resultant
D. Vector

Answer:

KE = 3456 J

Explanation:

Answer:

The water kept in an earthen pot seeps into the small pores in the pot and evaporates from the surface of the pot. The heat required for evaporation is taken from water inside the pot, thus cooling the water stored inside. This is the reason why on hot summer days water remains cool in earthen pot.

Answer:

115.05 Volts

Explanation:

We can use Ohm's Law!

V=IR

V= 1.77 * 65

V=115.05 Volts

Answer:

2 amperes

Explanation:

V = IR

V/R = I

120 v / 60 ohms = 2 amps

The potential energy of the lemming when it lands is 0.9108672 J.

To determine the potential energy (PE) of the lemming when it lands, we need to consider the conservation of energy. The potential energy of an object is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

Given:

Mass of the lemming (m) = 0.0780 kg

Height of the cliff (h) = 5.36 m

First, let's calculate the potential energy when the lemming is on the cliff. Using the given formula, we have:

PE = mgh

PE = 0.0780 kg * 9.8 m/s² * 5.36 m

PE = 0.413616 J

Next, we need to determine the final kinetic energy of the lemming just before it lands. We can use the equation for kinetic energy (KE) given by KE = (1/2)mv², where v is the velocity of the lemming.

Given:

Velocity of the lemming (v) = 4.84 m/s

Calculating the kinetic energy, we have:

KE = (1/2) * 0.0780 kg * (4.84 m/s)²

KE = 0.9108672 J

According to the conservation of energy, the potential energy at the top of the cliff is equal to the kinetic energy just before landing.

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Answer:

The graphs are attached

Explanation:

We are told that he started at rest at rest and travelled down the hill reaching a velocity of 20 m/s after 13 seconds.

Acceleration is gotten from;

v = u + at

a = (v - u)/t

a = (20 - 0)/13

a = 20/13 m/s² or 1.54 m/s²

Distance in this period is gotten from;

v² = u² + 2as

s = (v² - u²)/2s

s = (20² - 0²)/(2 × 20/13)

s = 400/(40/13)

s = 130 m

We are told that after reaching the bottom of the hill, he travelled at a constant velocity of 20 m/s for the next 7 seconds.

At constant velocity, acceleration is 0.

Thus,distance in this period is;

s1 = vt = 20 × 7 = 140 m

I've attached the graphs

The mass of liquid in the container is 94 grams and the density of the liquid is 0.78 grams/cm³ or 780 Kg/m³.

Given in the question

The volume of the liquid = Volume of the container

                                  =  120 cm³

Total Mass = 145 grams

Mass of the empty Beaker = 51 grams

To find

Mass of the liquid

The density of the liquid

Now,

Total Mass = Mass of LIquid + Mass of the empty Beaker

Mass of LIquid = Total Mass -  Mass of the empty Beaker  

Put in the value, we get

Mass of liquid = 145 - 51 grams

Mass of liquid = 94 grams

Now, Density is the ratio of the mass of the substance and the volume, the substance occupies in the space. It is not a constant value and is variable with the variation in the temperature of the substance. Its S.I. unit is Kg/m³. B ut its other commonly used unit is gram/cm³.

The density of liquid = Mass of the liquid/ Volume of the liquid

Put in the value, we get

The density of the liquid = 94/120  grams/cm³

The density of the liquid = 0.78 grams/cm³ = 780 Kg/m³

Therefore, the mass of liquid in the container is 94 grams and the density of the liquid is 0.78 grams/cm³ or 780 Kg/m³.

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Your question was incomplete. Please find the full content below.

A Measuring Cylinder liquid contains a volume of 120cm³ the liquid was then poured into an empty beaker of mass 51g. The total mass was then found to be 145g . Calculate the mass of the liquid and the density of the liquid.

Using the formula F = G * (m1 * m2) / r^2, where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them, we can calculate the gravitational force between Jupiter and the sun.

Plugging in the values, we get:

F = (6.674 x 10^-11 N * (m^2 / kg^2)) * ((1.9 x 10^27 kg) * (2 x 10^30 kg)) / (78 x 10^6 m)^2

Simplifying this, we get:

F = 1.98 x 10^27 N

Therefore, the gravitational force between Jupiter and the sun is approximately 1.98 x 10^27 Newtons.

The gravitational force between Jupiter and the sun, calculated using Newton's law of gravitation with their masses and distance, is \(1.95 * 10^{22} N.\)

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Answer:

where are the phrase's?

The correct answer is :

In octal,

Decimal         16  17   18  19  20  21  22 23  24  25  26  27  28  29  30 31  32

Octal             20  21  22  23 24  25 26 27  30  31   32  33  34  35  36 37  40

Hexadecimal 10   11   12  13  14   15  16  17   18   19   1A   1A   1C  1D  1E  1F  20

Decimal   8  9  10 11  12 13  14  15  16  17  18  19  20 21  22  23 24 25 26 27 28

Base13     8  9  A  B  C  10  11  12  13   14  15  16  17  18  19   1A  1B  1C 20 21 22

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Answer:

The interaction with the highest electrostatic potential energy is:

A +1 and -2 particle separated by a distance of 5 nm.

Explanation:

The electrostatic potential energy between two charged particles depends on the magnitude of their charges and the distance between them. The formula for calculating electrostatic potential energy is:

U = k * (q1 * q2) / d

where U is the electrostatic potential energy, k is Coulomb's constant, q1 and q2 are the magnitudes of the charges, and d is the distance between them.

In the given options, the interaction between +1 and -2 particles separated by a distance of 5 nm has the highest electrostatic potential energy because the charges have a higher magnitude (compared to other options) and they are close to each other, resulting in a stronger electrostatic force of attraction. The other options either have smaller charges, larger distances, or both, leading to lower electrostatic potential energy.

The power used, given that a force of 20 N is used to push the shopping cart 3.5 m in 2 seconds is 35 W

First, we shall determine the work done in pushing the cart. Details below:

Wd = Fd

Wd = 20 × 3.5

Wd = 70 J

Finally, we shall determine the power used in pushing the cart. Details below:

P = Wd / t

P = 70 / 2

P = 35 W

Thus, we can conclude that the power used is 35 W

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Point Z produces is the strongest electric field.

A notion that gives a "map" of electric field lines was put out by Michael Faraday. The lines of the electric field are also known as lines of force since the electric field is the electric force per unit charge. The distribution of electric field lines also reveals the size or strength of the field. Lines are more closely spaced, therefore the electric field is stronger.

The lines are more dispersed at greater separations when the electric field is weaker. In general, it is true that areas with tighter field lines have a greater electric field. The number of lines per unit area traveling perpendicularly through a surface is proportional to the strength of the electric field regardless of the number of charges present.

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To solve this problem, we need to determine the frictional force acting on the block with different magnitudes of the applied force.

First, we need to find the normal force on the block, which is equal to the weight of the block. The weight of the block is given by:

W = mg = 2.5 kg x 9.8 m/s^2 = 24.5 N

Next, we need to find the force of the applied vertical force, which is given in the problem as "is". We can use trigonometry to find the vertical component of the force:

Fv = is sinθ

where θ is the angle between the force and the horizontal surface. Since the problem does not give us the value of θ, we will assume it to be 0°, which means the force is purely horizontal.

(a) If the magnitude of the applied force is 8.0 N, then the frictional force can be calculated as:

Ff = μsFn = μs(mg - Fv) = 0.40(24.5 - 0) = 9.8 N

(b) If the magnitude of the applied force is 10 N, then the frictional force can be calculated as:

Ff = μsFn = μs(mg - Fv) = 0.40(24.5 - 10) = 5.8 N

(c) If the magnitude of the applied force is 12 N, then the frictional force can be calculated as:

Ff = μkFn = μk(mg - Fv) = 0.25(24.5 - 12) = 3.1 N

Therefore, the magnitude of the frictional force acting on the block is 9.8 N, 5.8 N, and 3.1 N, for applied forces of 8.0 N, 10 N, and 12 N, respectively.

(a) When the horizontal force is 8 N the frictional force is 11.8 N.

(b) when the applied force is 10 N; the frictional force is 13.8 N.

(c) when the applied force is 12 N; the frictional force is 15.8 N.

(a) The magnitude of the frictional force on the block when the horizontal force is 8 N is calculated as;

F - Ff = ma

where;

F - μmg = ma

6 - 0.4 x 2.5 x 9.8 = 2.5 a

2.5 a = -3.8

a = -3.8/2.5

a = -1.52 m/s²

when the applied force is 8 N;

8 N - Ff = -1.52 m/s² x 2.5 kg

Ff = 11.8 N

(b) when the applied force is 10 N;

10 N - Ff = -1.52 m/s² x 2.5 kg

Ff = 13.8 N

(c) when the applied force is 12 N;

12 N - Ff = -1.52 m/s² x 2.5 kg

Ff = 15.8 N

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Answer:

The water cycle shows the continuous movement of water within the Earth and atmosphere. ... Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow. Water in different phases moves through the atmosphere (transportation).

Explanation:

It's the water cycle.

Answer:

16

Explanation:

300/18.75

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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Answer:

5kgm/s

Explanation:

Given parameters:

Mass of bullet  = 0.005kg

Speed  = 1000m/s

Unknown:

Momentum  = ?

Solution:

Momentum is the amount of motion a body possesses.

Mathematically;

        Momentum  = mass x velocity

Now insert the parameters and solve;

       Momentum  = 0.005 x 1000 = 5kgm/s

Answer:

The value is \(\epsilon = 3.24 \ V\)  

Explanation:

From the question we are told  that

    The number of turns is  n =  65

    The diameter is  \(d = 14 \ cm = 0.14 \ m\)

    The magnetic field is  \(B_1 = 0.65 \ T\)

    The time taken for the magnetic field to be reduced to \(B_2 = 0 \ T\) is \(\Delta t = 0.2 s\)

Generally the magnitude of the induced emf is mathematically represented as

        \(\epsilon = N * \frac{B_1 - B_2}{\Delta t } * A\)

Here A is the area of the coil which is mathematically represented as

        \(A = \pi * \frac{d^2}{4}\)

=>     \(A = 3.142 * \frac{0.14^2}{4}\)

=>     \(A = 0.0154 \ m^2\)

So

        \(\epsilon = 65 * \frac{0.65 - 0 }{0.2 } * 0.01534\)  

=>    \(\epsilon = 3.24 \ V\)  

Explanation:

We need to solve \((5.87\times 10^7)(4.2\times 10^{11})\)

Firstly, multiplying 5.87 and 4.2 = 24.654

Now taking exponent of 10.

We know that : \(x^a{\cdot} x^b=x^{a+b}\)

It means, \(10^7{\cdot} 10^{11}=10^{11+7}=10^{18}\)

So,

\((5.87\times 10^7)(4.2\times 10^{11})=24.654\times 10^{18}\)

In scientific notation,

\((5.87\times 10^7)(4.2\times 10^{11})=2.4654\times 10^{19}\)

Hence, the value of \((5.87\times 10^7)(4.2\times 10^{11})\) is \(2.4654\times 10^{19}\)

Answer:

Explanation:

We need to solve

Firstly, multiplying 5.87 and 4.2 = 24.654

Now taking exponent of 10.

We know that :

It means,

So,

In scientific notation,

Hence, the value of  is

The inverse of the mass is referred to as acceleration. The acceleration will be slower the more mass there is.

Acceleration is the rate of change in an object's velocity over time in mechanics. One of the vector quantities is speed. The direction of the net force exerted on an object is what determines its acceleration. The change in velocity rate is referred to as acceleration. Usually, but not always, acceleration implies a change in velocity.

A circular object moving at a constant velocity is still accelerating because its velocity is changing in the opposite direction. In physics, acceleration is the rate of change in an object's velocity over time.  According to Newton's second law, the sum of all forces acting on an object determines its acceleration. Meters per second (ms²) is the SI unit for acceleration.

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Answer:

350 N

Explanation:

F=ma

\(f = force \\ m = mass \\ a = acceleration\)

\(m = 2(55kg) + 240kg \\ a = 1.0 \frac{m}{ {s}^{2} } \)

Force = 350 Newtons

The net force acting on the elevator would be 350 Newtons as it accelerates upward at 1.00 m/s2.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The mathematical expression for Newton's second law is as follows

F = ma

As given in the problem two people each have a mass of 55 kg. They are both in an elevator that has a mass of 240 kg. When the elevator begins to move, the people and the elevator have an upward acceleration of 1.00 m/s2, then we have to find the net force acting on the elevator,

The net force acting on the elevator,

F = ma

F =(2×55 + 240)×1

  = 350 Newtons

Thus, the net force acting on the elevator would be 350 Newtons as it accelerates upward at 1.00 m/s2

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Answer:

a)3000ohm

b)4.44mA

Explanation:

a) we were given a Nine tree lights connected inparallel across 120-V potential difference, since the resistor are in parallel we use the expresion below

1/R(total)= 1/R₁ + 1/R₂ + 1/R₃ + 1/R₃ +.... 1/R₉

But according to ohm'law which can be expressed below

V=IR

R=V/I

R(total)= 120/0.36

= 333.33ohm

1/R(total)= 1/R₁ + 1/R₂ + 1/R₃ + 1/R₃ +.... 1/R₉

R₁=R₂ =R₃ =R₄= R₅=R₆=R₇=R₈=R₉

1/R(total)=9/R

1/333.33= 9/R

R= 3000ohm

Therefore, the resistance is 3000ohm

b)the bulbs were connected in series here, then for series connection we use below expression

R₁=R₂ =R₃ =R₄= R₅=R₆=R₇=R₈=R₉

R(total)=9R

= 9*3000

=27000ohm

I=VR

I=V/R

I= 120/27000

= 4.44*10⁻³A

4.44mA

Therefore, the current is 4.4mA

Answer:

distance

Explanation:

Speed is the rate of change of position expressed as distance travelled per unit of time

The torque generated by the motor, accelerating with 1.8 m / \(s^{2}\) Of the elevator is, 18372 Nm.

The force which causes the object to rotate about any axis is called torque. In math form, it is equivalent to the product of force and perpendicular distance.

Given: Radius of pulley (r) = 1.2 meters;

Moment of inertia of pulley (I) = 380 kg\(m^{2}\)

Mass of elevator plus passenger (M) = 3100 kg;

Mass of counterweight (W) = 2700 kg;

Now if the rope tension is \(T_{2}\) then

\(T_{2}\)  = 3100 × (9.8 + 1.8)

\(T_{2}\)  = 35960 N

If  \(T_{1\) is the counterweight tension then

 \(T_{1\) = 2700 × (9.8 - 1.8) N

 \(T_{1\) = 21600 N

Now Angular acceleration (α) = a / r

α = 1.8 / 1.2

α = 1.5 rad / sec

If T is the total torque then

\(T = 2*I*\alpha +(T_{2} -T_{1} )*r\)

T = 2 × 380 × 1.5 + (35960 - 21600) ×1.2

T = 18372 Nm

Therefore, the total torque generated is 18372 Nm.

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The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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