What is curved space?

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

Answer:

force=mg+Fo

acceleration=0

Explanation:

(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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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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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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A wind turbine transfers kinetic energy to mechanical energy from energy stores, which is then used to generate electricity.

Wind energy is a type of renewable source of energy that can be used for converting it into electrical energy by the use of turbines that transform mechanical energy into electricity, which is then used for different purposes (both industrial and  particular home usage).

Therefore, with this data, we can see that wind energy can be used to generate electricity by means of turbines that convert mechanical energy into electricity.

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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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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 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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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

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

Since the collision is inelastic, both vehicle will move with a common velocity of 2.5 m/s in south east direction after collision.

It states that, the sum of the momentum before collision is equal to the sum of the momentum after collision.

Given that a 7500 kg truck traveling at 5.0 m/s east collides with a 1500 kg car moving at 20 m/s in a direction 30° south of west. After collision, the two vehicles remain tangled together.

The given parameters are;

The formula to find the speed will be

M1U1 - M2U2 = (M1 + M2)V

7500 × 5 - 1500 × 10 = (7500 + 1500)V

37500 - 15000 = 9000V

22500 = 9000V

V = 22500/9000

V = 2.5 m/s

Therefore, the common speed will be 2.5 m/s and the direction of the car will be toward the south east.

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Battery-powered clocks and Washing machines are objects that transform chemical energy into mechanical energy.

Chemical energy is a type of energy that is stored in the bonds of a chemical. It is converted into thermal energy when people burn wood or burn gasoline in the engine of a car. Mechanical energy is a type of energy that is stored in objects by tension. Compressed springs and stretched bands are examples of mechanical energy.

Mechanical energy i.e. kinetic energy or potential energy is the energy that is present in an object in motion or the energy that is stored in objects due to their position. Mechanical energy is a type of renewable energy.

So we can conclude that options A and C are the correct answers.

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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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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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The way that the clock at the rim of the space station compare with one residing at the hub is that Rim clock will always runs slower.

The behavior of a clock sitting on the surface of a planet with a surface gravity of one g is the same.

For instance, timekeeping on the International Space Station (ISS) is slightly slower than that of reference clocks on Earth. This explains why astronauts on the International Space Station (ISS) mature more slowly, lagging by 0.007 seconds every six months.

Ground-based atomic clocks have served as the industry standard for timekeeping since the 1950s. These clocks use the extremely steady and accurate frequencies of light emitted by particular atoms to keep time.

Therefore, Satellite clocks run slower due to more velocity but faster due to reduced gravity. Clocks move more slowly at the ISS orbital height because velocity dominates. At GPS altitude, clocks move more quickly due to the influence of gravity.

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A. The distance from the edge that the car will lad is 48.75 m.

B. The velocity it hit the ground with, v is 19.1 m/s in the forward direction.

The distance from the edge will the car traveling at a velocity of 25 m/s is calculated as follows:

Time taken = √(2h/g)

where h is the height = 18.6 m

g is the acceleration due to gravity = 9.8 m/s²

t = √(2 * 18.6/9.8)

t = 1.95 seconds

Distance = 25 * 1.95

Distance = 48.75 m

The velocity it hit the ground with, v is calculated as follows:

v²= u² + 2gh

where;

u is initial vertical velocity = 0

g = 9.8 m/s²

h = 18.6 m

v = √2gh

v = √(2 * 9.8 * 18.6)

v = 19.1 m/s in the forward direction.

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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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For a 2.0 kg block is pushed 2.0 m at a constant velocity up a vertical wall by a constant force applied at an angle of 30.0, the work done is 8.3 J

This refers to the term that shows the product of the displacement of an applied force in a given direction.

Hence, the calculations are:

The work done by a force pushing an object is given by:

W= Fdcos[tex]\alpha[/tex]

where

d= 1m

[tex]\alpha[/tex] = 63 degrees

W= (18.3)(1)(cos 63 degrees)

=8.3J

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A 2.0 kg block is pushed 1.0 m at a constant

velocity up a vertical wall by a constant force

applied at an angle of 27.0

◦ with the horizontal, as shown in the figure.

The acceleration of gravity is 9.81 m/s

2.

If the coefficient of kinetic friction between

the block and the wall is 0.40, find

a) the work done by the force on the block.

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 following choice is an example of gathering evidence in Taking measurements. Option B.

The scientific method is the process of objectively establishing facts through testing and experimentation. The basic process is to make observations, form hypotheses make predictions conduct experiments and finally analyze the results. Accurate readings are evidence-based.

Without evidence the author just states his opinion. So writing an essay begins with gathering evidence long before writing it. The advantage of naturalistic observation is that the researcher can directly observe the subject in its natural environment. This method gives scientists direct insight into social behavior and helps them realize things they might not have encountered in a laboratory setting.

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Answer:

A =Magnetic fields

Explanation:

Answer:

1205.4N

Explanation:

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

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:

C: 5

Explanation:

MA = radius of wheel/ radius of axle

MA =2.5/0.5

MA = 5.0

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.

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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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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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