PHYSICS HIGH SCHOOL

A 20600 kg sailboat experiences an eastward force 17700 N due to the tide pushing its hullwhile the wind pushes the sails with a force of 60000 N directed toward the northwest (45◦ westward of North or 45◦ northward of West). What is the magnitude of the resultant acceleration of the sailboat?

Answers

Answer 1

Answer:

Answer:

2.23 m/s²

Explanation:

mass of sail boat, m = 20600 kg

Force along east, F1 = 17700 N

Force along north west, F2 = 60000 N

write the forces in vector form

$\overrightarrow{F_(1)}=17700 \widehat{i}$

$\overrightarrow{F_(2)}=60000\left ( - Cos45 \widehat{i}+Sin45\widehat{j}\right )$

$\overrightarrow{F_(2)}=-42426.41\widehat{i}+42426.41\widehat{j}$

Net force acting on the boat

$\overrightarrow{F}=\overrightarrow{F_(1)}+\overrightarrow{F_(2)}$

$\overrightarrow{F}=17573.6\widehat{i}+42426.41\widehat{j}$

The magnitude of net force is given by

$F=\sqrt{17573.6^(2)+42426.41^(2)}$

F = 45922 N

Acceleration = force / mass

a = 45922 / 20600

a = 2.23 m/s²

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Which stars can be smaller than the Sun? Select all that apply.a. neutron stars
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Answers

Answer:

a and d are correct

Explanation:

a. neutron stars

d. main sequence stars

Are smaller than the sun but I'm not sure about white dwarfs because a typical white dwarf is about as massive as the Sun, yet only slightly bigger than the Earth.

What is the component of 3i^ + 4j^ along i^+j^

Answers

The required component of vector is 7√2/2 unit.

What is unit vector?

Physical quantities that exhibit both magnitude and direction are referred to as vector quantities. As an illustration, consider displacement, force, torque, momentum, acceleration, and velocity.

Typically, an arrow is used on top of a vector quantity to depict the vector value of the velocity and to clarify that the quantity has both magnitude and direction.

A quantity with both magnitude and direction is referred to as a vector. A unit vector is one with a magnitude of 1. It also goes by the name Direction Vector.

Given vector is :

$\vec{A} =3\hat{i} + 4\hat{j}$ .

and the other vector is :

$\vec{B} = \hat{i} + \hat{j}$ .

The unit vector along $\vec{B}$ is

$\hat B =\frac{ \hat{i} + \hat{j}}{√(2) }$

Hence, component of A vector along B vector is =

$\vec{A}.\vec{B}$

= $(3\hat{i} + 4\hat{j}).\frac{ \hat{i} + \hat{j}}{√(2) }$

= (3+4)/√2

= 7/√2

= 7√2/2 unit.

So, the required component of vector is 7√2/2 unit.

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using the Pythagorean theorem

a^2 = b^2 + c^2

when a is the hypotenuse, and b and c are opposites and adjacent in a right triangle

3^2 + 4^2 = 5^2

Therefore, the hypotenuse has a magnitude of 5

Technician A says that a waste spark ignition system fires two spark plugs at the same time. Technician B says that the waste spark ignition system uses ignition coils connected to companion cylinders. Which technician is correct?a. Technician A only
b. Technician B only
c. Both technicians A and B
d. Neither technician A nor B

Answers

Neither technician A nor B. No technician is correct.

What is waste spark Ignition?

Two spark plugs are connected to the ends of one coil in a waste spark ignition system (for a two-cylinder engine) ( for 4 cylinder engine two coils are used, each driving two spark plugs ).

As a result, both spark plugs will light up simultaneously. The first (A) cylinder's compression stroke will ignite one spark plug, while the opposing cylinder's exhaust stroke will fire the second ( wasted ). Cylinder "A" will fire during the exhaust stroke when it is time for cylinder "B" to fire during compression.

Due of the opposing current flow, both spark plugs burn simultaneously from the ends of just one coil. The spark "flows" in this manner from the center to the exterior.

Therefore, Neither technician A nor B. No technician is correct.

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Answer:

d. neither technicians a and b

A car moving with a velocity of 20 meters/second has1.8 * 105 joules of kinetic energy. What is the mass of the car?

Answers

Kinetic energy is the product of mass and the square of the velocity of the moving object. In this case, we substitute the given data, that is 1.8 x10^5 joules = m * (20 m/s2)^2. Extracting the mass, the mass of the car therefore is equal to 450 kg

Explanation :

Given that,

Velocity of the car, v = 20 m/s

Kinetic energy of the car, $E_k=1.8* 10^5\ J$

Kinetic energy is given by :

$E_k=(1)/(2)mv^2$

$m=(2E_k)/(v^2)$

So, $m=(2* 1.8* 10^5\ J )/((20\ m/s)^2)$

m = 900 kg

Hence, the mass of the car is 900 kg

Where is the error in this vent diagram A “parallel” and “perpendicular are switched
B The spring descriptions of motion are switched
C Particles travel along the wave in longitudinal waves
D Particles move long distances in transverse waves

Answers

A. Parallel and have a good day

The density of ocean water increases when ita. joins the Gulf Stream.
c. gets warmer.
b. gets colder.
d. turns to ice. Please select the best answer from the choices provided A B C D

Answers

The correct answer is (b.) gets colder. The density of the ocean water increases when the water gets colder. Therefore, it is already concluded that the density of the water and its temperature is indirectly proportional since as the density increases, the temperature decreases.

Answer: Option (b) is the correct answer.

Explanation:

Density means the degree of compactness, that is, when particles of an object or substance are closer to each other then it is said that density of object is high.

Therefore, when ocean water gets colder then particles of water will gain potential energy and thus they will come closer to each other. Hence, there will be increase in density of ocean water when it gets colder.

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