Two stars, one twice as massive as the other, are 1.0 light-year (ly) apart. One light year is the distance light travels in one year at the speed of light, 3.00×10^8m/s. The gravitational potential energy of this double-star system is −6.5 ×10^34J.
Q: What is the mass of the lighter star?

(h) The net force equation for y-direction is F(net)_y = F sinθ

(i) The normal force acting on the truck is 490,000 N.

(j) The force of friction acting on the truck is 490 N.

(k) The net force equation for the x - direction is F(net)_x = Fcosθ  - Ff.

(l) The acceleration of the truck is 0.94 m/s².

A free body diagram (FBD) is a sketch of all the forces acting on object, indicating the direction of the applied force.

            ↑ N

   Ff →   Ф  ← F

            ↓W

where;

The net force equation for y-direction is calculated as follows;

F(net)_y = F sinθ

The normal force acting on the truck is calculated as follows;

Fn =  mg

where;

Fn = 5000 x 9.8

Fn = 49,000 N

The force of friction acting on the truck is calculated as follows;

Ff = μFn

where;

Ff = 0.01 x 49,000 N

Ff = 490 N

The net force equation for the x - direction is written as;

F(net)_x = Fcosθ  - Ff

where;

F(net) = 6000 x cos(30)  -  490

F(net) = 4,706.15 N

The acceleration of the truck  in the sleeping bag is calculated as follows;

a = F(net) / m

a = (4,706.15) / (5000)

a = 0.94 m/s²

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Answer:

1205.4N

Explanation:

given. "if the tension of the cable is 1205.4N)

430.9 N is the horizontal force exerted by the ladder on the wall

Torque=FLsinθ

m=10.8kg

L=10.5m

g=9.8 ms²

θ=72

Torque=FLsinθ

Torque=1111.32×sin 72

Torque=430.9 N

In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).

Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.

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The plane has a 210km displacement value.

The ideal answer is B.

A plane flies straight after takeoff and ends up 190 km to the east and 800.0 km to the north of where it started.

We should use Pythagoras' Theorem to solve this problem.

Distance 2 is calculated as 190^2 + 80^ = 210 km.

which, when rounded, is equivalent to 210 kilometers.

190^2 + 80.0^2 = 45000

√45000

210KM

The displacement of the plane is 210 kilometers.

An object's positional change is referred to as "displacement." It possesses a magnitude and direction as a vector quantity. It is represented by an arrow that leads from the starting point to the destination. An object's position changes, for example, if it moves from position A to position B.

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s(displacement) = 40m ,  when a body is thrown towards with a velocity of 10ms.

It can be defined as the distance covered by an object in unit time.

Displacement is defined to be the change in position of an object.

Rate at which velocity changes with time, in terms of both speed and direction.

S = ut + 1/2 at²

where, S = displacement (m)

           u = initial velocity (ms)

           a = acceleration (g=10m/s²)

           t = time (s)

S = 10×2 + 1/2 × 10(2)²

S = 40m

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Answer:

A. The acceleration of the airplane is 36 m/s2.

B. It takes the airplane 82.5 seconds to reach the end of the runway.

C. The final velocity of the airplane is 84 m/s.

Answer:

v = 28 m/s

Explanation:

Since energy is conserved:

Eg = Ek

mgh = 1/2mv^2

masses cancel

gh = 1/2v^2

(9.8)(40) = 1/2v^2

(2)(40)(9.8) = v^2

v = sqrt(784)

v = 28 m/s

The cost of running the window air conditioning for 14 days, given that the cost of electricity is 23.75 cents per kilowatt-hour, is $ 87.78

We'll begin by obtaing the energy consumed by the window air conditioning for 14 days. This can be obtained as follow:

E = Pt

E = 1.1 × 336

E = 369.6 KWh

Finally, we shall determine the cost of running the window air conditioning. This is shown below:

Cost = energy × Cost per KWh

Cost of running for 14 days = 369.6 × 0.2375

Cost of running for 14 days = $ 87.78

Thus, we can conclude that the cost of running for 14 days is $ 87.78

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The degree of accuracy is very important in the measurement of various heights of water hyacinths on ponds to limit errors from its true value.

The water hyacinths are a type of aquatic plants that grows in shallow ponds, marshes, small streams, lakes and rivers.

The water hyacinths are very useful to the environment as they reduce water pollution and process as animal feed, compost, and bioenergy.

During measurements in experiment, the accuracy of such measurements should be out under consideration to avoid occurrence of errors.

Although the measurement of the water hyacinth would be gotten from 30 ponds, it's necessary to prevent errors by maintaining accurate heights gotten from each pond as it would act as final value at the end of the experiment.

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Explanation:

Let

T

be the tension of the cable and m

g

be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v

0

=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v

2

=v

0

2

+2ay leads to

a=−

2y

v

0

2

=−

2(−42m)

−12m/s

=1.71m/s

2

We now return to calculate the tension:

T=m(g+a)

=(1600kg)(9.8m/s

2

+171m/s

2

)

=1.8×10

4

N

The focal length of the lens is 14.67 cm.

The focal length of an optical device is a measure of how strongly the machine converges or diverges mildly; it's miles the inverse of the system's optical electricity. A wonderful focal length suggests that a system converges mildly, while a negative focal duration shows that the system diverges mildly.

Calculation:-

himage/h object = f-v/f

0.5/2 = f - 11/f

0.25f = f - 11

11 = f - 0.25f

11 = 0.75f

f = 11/0.75

f = 14.67 cm

The focal length ( f ) is the gap from a lens or reflects the point of interest ( F ). this is the distance from a lens or replicates at which parallel mild rays will meet. The focal period of (left) a concave lens (with a negative focal length), (middle) a convex lens and. (right) a concave replicate.

The distance from the center of the lens to the photo focal factor (=image sensor floor) is referred to as the focal period. Its miles are expressed in millimeter (mm) gadgets. A lens with a brief focal duration is an extensive-perspective lens and one with a protracted focal length is a telephoto lens.

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Answer:

force=mg+Fo

acceleration=0

Explanation:

Answer:

3.91 s

Explanation:

d = -75

a = -9.81

d = 1/2 at^2

-75 = 1/2 ( -9.81) (t^2)

75 = 1/2 ( 9.81) t^2            shows t = 3.91 s

The temperature in the pool to avoid condensation in an indoor swimming pool is cooler than air temperature.

Temperature :

Humidity:

The amount of water vapour in the air is known as humidity.

The humidity will be high if there is a lot of water vapour in the atmosphere. It feels wetter outside as the humidity

In indoor pools, the relative humidity should be kept between 50 and 55 percent at a temperature of around 26 degrees in the winter and 23 degrees in the summer.

The temperature in the pool to avoid condensation in an indoor swimming pool is cooler than air temperature.

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The maximum force that wire B can withstand is same as A.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

For wire diameter do not effect the force it can withhold so, A and B and have same force 2000 N.

The maximum force that wire B can withstand is same as A.

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Answer:

C: 5

Explanation:

MA = radius of wheel/ radius of axle

MA =2.5/0.5

MA = 5.0

Answer:

See below

Explanation:

Fg = G m1 m2 / r^2        Fg = force of gravity   and

               G, the gravitational constant =   6.6743x10^-11   m^3/(kg s^2)

m2 = 2 m1   is given, then sub in the values:

2.63 x 10^-12 = 6.6743 x 10^-11 ( m1)(2 m1) / ( .032)^2

results in 2 m1^2 = .00004035059

then m1 = .004491 kg      and m2 is twice this much

mass 1 = 4.49 x 10^-3 kg     as you stated

Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is ¾F.

Electric force is described as the repulsive or attractive interaction between any two charged bodies.

The electric force is one of the various forces that act on objects and has its impact and effects on the given body which is described by Newton’s laws of motion.

The electric force between two electrons is equal to the electric force between two protons when placed at equal distances and this describes that the electric force is not based on the mass of the object, but depends on the quantity known as the electric charge.

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We disagree with Eve's hypothesis that the cart full of groceries applies more force to the empty cart than the empty cart applies on the cart with groceries.

Mass of empty shopping cart = 20 Kg

Mass of cart full of groceries = 40 Kg

Newton's third law of motion states that each action has equal and opposite reaction. Thus, if empty cart exerts a force on the cart full of groceries, then the cart full of groceries should exert same amount of force on the empty cart when two customers accidently bump their carts. Hence, Eve's hypothesis is opposite to Newton's third law of motion.

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The amount of electric power supplied by the water that flows over a waterfall 16 m high at the rate of 3.00×10⁴ kg/s is 1646400 W.

Electric power is the rate at which electric energy is consumed in an electric circuit or system.

To calculate the electric power supplied by the water, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the amount of electric power supplied is 1646400 W.

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Using velocity we will get the car’s power is 46.48 m/s.

What is velocity?

velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.

Sol- The linear momentum of a body is defined as the product of its mass and its velocity given by-

P = mv

According to the question the momentum of the truck is-

Pr=2250×25 kgm /s

Pr=56250 kgm/s

Now we can see the momentum of the car and the truck must be same that is Pc=Pr

1210×v =56250 kgm/s

v= 56250/1210

v= 46.48 m/s

Thus the velocity of the car is 46.48m/s .

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The statement that best describes what astronomy and cosmology is the option B. That says that astronomy study objects of the universe and cosmology study the entire universe.

Astronomy is that science that will study the celestial bodies found in the universe such as stars, planets, asteroids, among others. He will study more specifically the components of the universe. While cosmology studies the universe as a whole and its origin, it will study theories such as the big bang theory.

Therefore, we can confirm that the statement that best describes the difference between astronomy and cosmology is that astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end. So the correct option is B.

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Answer:

option B.

Explanation:

The direction of the electric field at a given point is determined by the relative magnitudes and positions of the charges involved. The electric field lines always point away from positive charges and towards negative charges. The strength of the electric field is greater when the charges are closer together.

At point P, the direction of the electric field created by a positive charge Q and a particle with a negative charge -Q will depend on the relative positions of the charges. Let's consider two scenarios:

1. If the positive charge Q is closer to point P than the negative charge -Q:

In this case, the positive charge Q will exert a stronger electric field compared to the negative charge -Q at point P. The electric field vectors will point away from the positive charge Q and towards the negative charge -Q. Therefore, the overall direction of the electric field at point P will be towards the negative charge -Q.

2. If the negative charge -Q is closer to point P than the positive charge Q:

In this scenario, the negative charge -Q will exert a stronger electric field compared to the positive charge Q at point P. The electric field vectors will point away from the negative charge -Q and towards the positive charge Q. Consequently, the overall direction of the electric field at point P will be towards the positive charge Q.

It's important to note that the direction of the electric field is independent of the charge of the test particle at point P. The electric field exists irrespective of the presence of a test charge, and its direction is determined solely by the configuration and positions of the charges creating the field.

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8. The frequency of the weight suspended from a spring.is 2Hz.

9. The period is 0.5 seconds.

10. The amplitude is 14cm

Frequency simply means the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.

In this case, the spring bob up and down 2 times per second. Therefore, Frequency = 2 Hz

The period is the time taken to complete one oscillation. 2 oscillations takes 1 second

1 oscillation = 1/2 seconds.

Period = 0.5 seconds

Amplitude is the the maximum displacement of the spring. In this case the spring bob up 14 cm. This is it's displacement.

Amplitude = 14 cm

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Answer: A

Explanation:

a) At the application of the brakes, there is a conversion of kinetic to potential energy.

b) When it climbs the second hill, the kinetic energy of the roller coaster is now converted to potential energy.

Let us recall that according to the principle of the conservation of energy, energy can neither be created nor destroyed but it can be transformed from one form to another. In the roller coaster, we can see the principle of energy transformation at work. This is one of the easiest ways that we could use to be able to describe the conservation of energy.

When a break has been applied in the roller coaster, there is a consversion of energy from kinetic energy to potential energy. Recall that the kinetic energy has to do with the energy that is in motion. This is converted to the potential energy of a stationary roller coaster.

Again when the roller coaster goes up a second hill, there is a change from kinetic to potential energy that the roller coaster would possess at the top of the hill.

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Answer:

b

Explanation:

Because the 20kg block has a higher mass it takes more force to move it. Following Newton's first law. An object at rest wants to stay at rest and one moving wants to keep moving. Considering there's more atoms in the higher kilogram block than the smaller one more atoms would want to stay at rest therefore experience more inertia and accelerate slower.

With increasingly long delays due mostly due to the increasing gravitationally time dilation affecting the probe when a trajectory that will take it into the black hole.

A black hole is a celestial object with a gravitational pull so powerful that nothing, not even light, can escape. A black hole can develop as a result of the death of a massive star. When its internal thermonuclear fuels run out at the end of its life, the center of such a star gravitationally collapses inward into itself, obliterating the star's outer layers.

The crushing weight of component matter crashing in from all directions causes the dying star to be crushed to a point with zero volume and infinite density known as the singularity. Black holes are often hard to observe directly due to their small size and the lack of any visible light from them.

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Answer:

below

Explanation:

First, convert 26.2 mi to km = 42.16 km

   then    42.16 km / 12 km/ hr = 3.51 hr   = 3 hr 30.8 m