The cart in the figure is moving toward the right with a speed increasing at 3 m/s?. By what angle does the accelerometer deflect?

Answer:

The components of the net force acting on the cart are;

Horizontal force, Fₓ ≈ 23.5 N acting east

The vertical force, [tex]F_y[/tex] ≈ 76.96 N

Explanation:

The parameters given in the question are;

The magnitude of the force on the rope acting horizontally to the west = 75 N

The magnitude of the force on the other rope east acting at an angle to the horizontal = 125 N

The angle to the horizontal of the force on the other rope east to the horizontal = 38°

Therefore, we have;

The horizontal component of the force acting east = 125 × cos(38°) ≈ 98.5 N

The net sum of the horizontal forces, ∑Fₓ noting that the horizontal forces are acting in opposite direction is given as follows;

∑Fₓ = 75 - 125 × cos(38°) = 75 - 98.3 = -23.5N

Given that the difference in forces is negative, and hat we took the force acting east as negative, we have that the net horizontal force is acting east with a horizontal component of 23.5N

The net vertical force, ∑F[tex]_y[/tex], is given as follows;

∑F[tex]_y[/tex] = 125 × sin(38°) ≈ 76.96 N

Therefore, the components of the net force acting on the cart are;

Horizontal force, Fₓ ≈ 23.5 N, the vertical force, [tex]F_y[/tex] ≈ 76.96 N

The components of the net force on the cart are 23.5 Newton and 76.96 Newton.

Given the following data:

To find the components of the net force on the cart:

First of all, we would determine the horizontal component of the force acting due east.

[tex]F_y = Fcos(\theta)\\\\F_y = 125cos(38)\\\\F_y = 125 \times 0.7880\\\\F_y = 98.5 \; Newton[/tex]

Next, we would find the resultant horizontal forces:

[tex]\sum F_y = F + F_y\\\\\sum F_y = 75 + (- 98.5)\\\\\sum F_y = -23.5 \;Newton[/tex]

Therefore, the horizontal component of the net force acts in the opposite direction due east.

Horizontal component of the net force = 23.5 Newton

For the vertical component of the net force:

[tex]\sum F_x = Fsin(\theta)\\\\\sum F_x = 125cos(38)\\\\ \sum F_x = 125 \times 0.6157\\\\ \sum F_x = 76.96\; Newton[/tex]

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Answer:

increase in amount or extent.

Explanation:

in other words speed up or go faster in a less time period

Answer:

Displacement, d = 12 meters

Explanation:

The displacement of an object that moves from the origin to a position at −12 m is 12 meters.

The distance from the origin to the maximum position is called displacement of an object. The maximum displacement of the particle in a wave is called crest and the minimum displacement is called the trough. -12 shows the displacement in negative axis.

So, the displacement of an object is 12 meters.

Answer:

The only thing you need to know which pair of features that best characterizes a sound wave is to view the graph or the image of monitor.

Explanation:

Answer:

acceleration is 18

Explanation:

45N/3kg=18

Answer:

18

Explanation:

Answer:

V=2.8 ml

Explanation:

volume of the cube is it would be 20.3 - 17.5 ml so 2.8 ml.

Answer:

a series of  decays producing sequentially more stable nuclei

Explanation:

A nuclear decay chain represents a series of decays producing sequentially more stable nuclei.

Answer:

metallic bond

Explanation:

Answer:

2. divide the distance and time

speed=distance÷time

Answer:

All of the above.

Explanation:

As a review, remember that carnivores eat other animals and omnivores eat both plants and animals.  There is yet another term used when talking about food chains, the word heterotroph. Anything that is not an autotroph is a heterotroph.  The word means “other feeding” or feed off of others.

Answer:

The baseball will stay in motion until another force act upon it.

Explanation:

Answer:

Newton's First Law of Motion is that an object in motion will stay in motion unless acted upon by an outside force. Due to the lack of gravity in space, until a different outside force acts upon the object, the baseball will continue to move at a constant speed in the same direction for all time (until acted upon by something else).

Answer:

OA. ocean water is a solution

Explanation:

Answer:

When a bullet is fired from a gun, total momentum before is zero since nothing is moving. After firing the bullet there is a momentum in the forward direction. ... The faster an object is moving or the more mass it has, the more momentum it has in the direction of its motion (momentum = mass velocity).

Answer:

Explanation:

Mass is the only one of these that is not vector; everything else has both magnitude and direction.

Answer:

27.1 m/s

Explanation:

Given that at a race car driving event, a staff member notices that the skid marks left by the race car are 9.06 m long. The very experienced staff member knows that the deceleration of a car when skidding is -40.52 m/s2.

Using third equation of motion,

V^2 = U^2 + 2aS

Since the car is decelerating, the final velocity V = 0

Substitute all the parameter into the equation above,

0 = U^2 - 2 * 40.52 * 9.06

U^2 = 734.22

U = [tex]\sqrt{734.22}[/tex]

U = 27.096

U = 27.1 m/s  approximately

Therefore, the staff member can estimate for the original speed of the race car to be 27.1 m/s if it came to a stop during the skid

weight=mass*gravity

w=2959.0*10

w=29590N

The weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons, here speed of the car is the redundant value that is not used to calculate the weight of the car.

It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another.

As given in the problem, we have to determine the weight of a 2959.0-kg car that is moving at a speed of 21 m / s .

The weight of the car = mass of the car × acceleration due to gravity

                                    = 2959 × 9.8

                                    = 28998.2 Newtons

Thus, the weight of a 2959.0-kg car that is moving at a speed of 21 m / s would be 28998.2 Newtons.

To learn more about gravity here, refer to the link given below ;

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Answer:

1344.34 m/s

Explanation:

From the question given above, the following data were obtained:

Initial velocity (u) = 11.5 m/s

Rebound velocity i.e final velocity (v) = 5.842 m/s

Time (t) = 0.0129 s

Acceleration (a) =.?

The acceleration of the ball while it is in contact with the wall can be obtained as follow:

a = (v + u) / t

a = (5.842 + 11.5) / 0.0129

a = 17.342 / 0.0129

a = 1344.34 m/s

Therefore, the average acceleration of the ball while it is in contact with the wall is 1344.34 m/s

Answer:

Michael

Explanation:

Answer:

D.

Explanation:

Tempered glass is the less expensive alternative, and is best for lower temperature applications. It can withstand constant temperatures of up to 470 degrees F. Tempered glass is regular glass that has been strengthened through a thermal or chemical treatment. Tempering not only strengthens the glass but also changes its breakage pattern, causing it to shatter into small pieces instead of large sharp angles, reducing the chance of injury. It is best used for applications where the fire will not be near the glass, as constant temperatures of 500 degrees or more will cause it to weaken and shatter.

Answer:

An object’s weight is proportional to its mass.

Krill and plankton are two groups of organisms found in the ocean. Krill are species of crustacean related to shrimp, and serve as a very important link in the food chain of the sea. Plankton consist of a larger group of organisms with much more variety, including bacteria, algae, protozoans, jellyfish and some species of cephalopods.

Propulsion

The primary factor that determines whether a species is plankton or not is propulsion. Plankton organisms lack the ability to swim against the tide, and instead float from place to place on sea currents. They may be capable of some movement, and some types of plankton can even hunt for food, but none is powerful enough to make its own headway through the ocean. Adult krill are capable of swimming against currents, but their larvae and eggs fall into the plankton category.

Variation

Krill are crustaceans of the Euphausiacea order, which consists of 86 different species. Plankton, on the other hand, can come from a wide variety of different species and orders. Plankton fall into three broad categories, depending on their primary function. Phytoplankton are plant-like organisms, capable of photosynthesis. Zooplankton are animal plankton species that get their nutrients by eating other microscopic organisms. Bacterioplankton are the smallest plankton, and often serve as food for zooplankton and other lifeforms.

Appearance

Krill species have similar characteristics and generally resemble tiny shrimp. Most species reach around 2 centimeters (0.8 inches) as adults, while the largest species can reach sizes of up to 15 centimeters (5.9 inches). Plankton, on the other hand, consists of organisms of many different shapes and sizes. The smallest categories include microscopic viruses, protozoans, small crustaceans, and other tiny organisms. At the larger end of the scale, megaplankton are any plankton over 2 centimeters (0.8 inches) in size, and include large animals, such as cephalopods and jellyfish. The largest plankton is the lion's mane jellyfish, which can reach 2.5 meters (8.2 feet) in diameter and grow tentacles more than 36.5 meters (120 feet) long.

Role

Plankton and krill serve similar, but slightly different, roles in the food chain. Phytoplankton synthesize nutrients, while bacterioplankton recycle nutrients from decomposing matter in the ocean, providing some of the fundamental sources of nutrition for all ocean creatures. Zooplankton serve to concentrate those nutrients by eating smaller plankton and serving as food for larger creatures. Krill are one step up in the food chain, eating plankton and serving as a nutrient bridge from microscopic life forms to larger fish and mammals.

Answer:

Saturn's differential rotation will cause the length of a day measures to be longer by 0.4 hours

Explanation:

Differential rotation occurs due to the difference in angular velocities of an object as we move along the latitude of the or as we move into different depth of the object, indicating the observed object is in a fluid form

Saturn made almost completely of gas and has differential motion given as follows

Rotation at the equator = 10 hours 14 minutes

Rotation at high altitude = 10 hours 38 minutes

Therefore;

The differential rotation = 10 hours 38 minutes - 10 hours 14 minutes

The differential rotation = 24 minutes = 24 minutes × 1 hour/(60 minutes) = 0.4 hours

The differential rotation = 0.4 hours

Therefore, the measured day at the higher altitude will be 0.4 longer than at the equator.

Answer:

This chemical equation represents a synthesis reaction. This identification is based on the fact that the reactant chemical compounds combine to form a single chemical substance that is different from the initial chemical substance.

Explanation:

Answer:

10m/s^2

Explanation:

a=change in velocity/change in time

50/5=10m/s^2

Answer:

90 seconds

Explanation: