PHYSICS MIDDLE SCHOOL

Please help pleease1)

Jeremy wants to buy some snacks. He walks four blocks east and two blocks south to get to the closest convience store to his house. How far away is store from his house, directly?

2)A slanted vector has a magnitude of 41 N and is at an angle of 23 degrees north of east. What are the magnitude and direction of the horizontal and vertical components of this vector?

3)A horizontal component vector has a magnitude of 11 m. If the resultant vector forms and angle with this component of 19 degrees, what is the magnitude of the resultant vector?

Answers

Answer 1

Answer:

1) The distance of the store from the house is 4.47 blocks

2) The horizontal component of the vector is 37.7 N, the vertical component is 16.0 N

3) The magnitude of the resultant vector is 11.6 m

Explanation:

Jeremy's motion is divided into two parts:

- First, a motion of 4 blocks east

- Then, a motion of 2 blocks south

Here we want to measure the distance between the initial and final position of Jeremy.

We notice that the two displacements are perpendicular to each other, so they correspond to the sides of a right triangle, of which the hypothenuse is the distance between the initial and final point. Therefore, the distance can be found by using Pythagorean's theorem:

$R=√(d_1^2+d_2^2)=√(4^2+2^2)=4.47$

So, 4.47 blocks.

The horizontal and vertical components of the vector can be calculated as

$v_x = v cos \theta$

$v_y = v sin \theta$

where

v = 41 N is the magnitude of the vector

$\theta=23^(\circ)$ is the angle between the direction of the vector and the x-axis (which corresponds to the east direction)

Substituting numbers into the equations, we find

$v_x = (41)(cos 23)=37.7 N$

$v_y = (41)(sin 23)=16.0 N$

In the previous part, we said that the horizontal component of a vector is given by

$v_x = v cos \theta$

where

v is the magnitude of the vector

$\theta$ is the angle

In this problem we know that:

$v_x = 11 m$ is the horizontal component

$\theta=19^(\circ)$ is the angle

Therefore, we can re-arrange the equation to find v, the magnitude of the resultant vector:

$v=(v_x)/(cos \theta)=(11)/(cos 19)=11.6 m$

Learn more about vectors here:

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A metal ball of mass 2 kg is supported by a massless inextensible string, 12 cm long. A horizontal force displaces the ball by 30oto the vertical so that the string remains taut. Find:a) the horizontal force.b) the tension in the thread.

Answers

As it is given that 2 kg mass is suspended by 12 cm long thread and then a horizontal force is applied on it so that it remains in equilibrium at 30 degree angle

So here we can use force balance in X and Y directions

now for X direction or horizontal direction we can use

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Part b)

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Answers

Answer:

nuclear energy

Explanation:

Why is the law of gravity an example of a universal law? a Gravity is the attraction of any mass to any other mass. b Gravity is a force that affects everyone on Earth. c Gravity is the reason the Earth revolves around the sun. d Gravity is a force that exists between any two masses in the universe

Answers

The law of gravity is an example of a universal law because Gravity is a force that exists between any to masses in the universe.

What is Newton's law of gravitation?

Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

$Formula of Newton's law of gravitation,\nF=G{(m_1m_2)/(r^2)}$

where, F - Force,

g - gravitational constant,

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m₂ - mass of the object 2

r² - distance between the two masses.

Gravitational attraction is along a line joining the centers of mass of these two bodies. The magnitude of the force is the same on each, consistent with Newton’s third law.

So, The law of gravity is an example of a universal law because Gravity is a force that exists between any to masses in the universe.

Hence, Option D is the correct answer.

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Answer:

Yeah like the other answer D and A are kinda the same but i would pick D :p

Explanation:

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Answers

Answer:

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Explanation:

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Answers

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Please help!!!!!!!!!!!!!