PHYSICS
HIGH SCHOOL

Answer: X = 2

y = 5

persamaan 1 : vx = 8t + 2 , x = 2 dan t = 0 karena posisi awal

2v = 8(0) + 2

2v = 2

v1 = 1

persamaan 2 : vy = 12 + 2t , y = 5 dan t = 0 karena posisi awal

5v = 12 + 2(0)

5v = 12

v2 = 2,4

masukin pada persamaan t = 4 dengan menggunakan v1 (v pada x) dan v2 (v pada y)

vx = 8t + 2 , t = 4 dan v = 1

1x = 8(4) + 2

x = 32 + 2

x = 34

vy = 12 + 2t , t = 4 dan v = 2,4

2,4y = 12 + 2(4)

2,4y = 20

y = 8,33

maka (x,y) = (34 ; 8,33) pada t = 4

y = 5

persamaan 1 : vx = 8t + 2 , x = 2 dan t = 0 karena posisi awal

2v = 8(0) + 2

2v = 2

v1 = 1

persamaan 2 : vy = 12 + 2t , y = 5 dan t = 0 karena posisi awal

5v = 12 + 2(0)

5v = 12

v2 = 2,4

masukin pada persamaan t = 4 dengan menggunakan v1 (v pada x) dan v2 (v pada y)

vx = 8t + 2 , t = 4 dan v = 1

1x = 8(4) + 2

x = 32 + 2

x = 34

vy = 12 + 2t , t = 4 dan v = 2,4

2,4y = 12 + 2(4)

2,4y = 20

y = 8,33

maka (x,y) = (34 ; 8,33) pada t = 4

HIGH SCHOOL

A rectangular-shaped vegetable garden next to a barn is to be fenced on three sides with 120 total feet of fencing. Find the dimensions of the garden that will maximize the area.

Answer:

The dimensions of the garden are

Length = 30 ft

Width = 60 ft

Explanation:

Given data:

Total length of the fencing, L = 120 ft

Now,

let the length of the garden be 'x' feet

width of the garden be 'y' feet

Now, the area A for rectangle is given as:

A = xy

Now,

given y + 2x = 120 ft

or

y = 120 - 2x

substituting the value of y in the formula for area, we get

A = x × (120 - 2x)

or

A = 120x - 2x²

Now, for maximizing the area

dA/dx = 0

therefore, differentiating the formula for area with respect to side x

we get

dA/dx = 120 - 4x = 0

or

4x = 120

or

x = 30 ft

hence,

y = 120 - 2x

or

y = 120 - 2(30)

or

y = 60 ft

Thus, the dimensions of the garden are

Length = 30 ft

Width = 60 ft

HIGH SCHOOL

Which of the following tools should a scientist use to measure an object in meters? . . a.Electronic balance . . b.Pan balance . . c.Tape measure . . d.Thermometer . .

The tape measure tool should a scientist use to measure an object in meters option (c) Tape measure.

What is measurement?It is defined as the numerical quantity that gives an idea about object length, width, and many more. It can be used to compare two objects.

A measuring ruler, prove costly, or measuring tape are popular tools used by scientists to gauge distance.

Small items' lengths are measured in centimeters and millimeters. Meters and kilometers are employed to measure greater distances.

Thus, the tape measure tool should a scientist use to measure an object in meters option (c) Tape measure.

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Hello!

Meters are a distance measure, so, the scientist have to use a tape measure, letter c).

Hugs!!

Meters are a distance measure, so, the scientist have to use a tape measure, letter c).

Hugs!!

HIGH SCHOOL

A sled is moving down a steep hill. The mass of the sled is 50 kg and the net force acting on it is 20 N. What must be done to find the acceleration of the sled? Check all that apply. The force of gravity must be broken into its parallel and perpendicular components.

Acceleration can be found by dividing the net force by mass. Acceleration can be found by multiplying the net force by mass.

The magnitude of the force components must be multiplied by gravity.

Trigonometry can be used to solve for the magnitude of the force components.

Net force must be found before acceleration can be found.

-The force of gravity must be broken into its parallel and perpendicular components.-Acceleration can be found by dividing the net force by mass.-Trigonometry can be used to solve for the magnitude of the force components.-Net force must be found before acceleration can be found.

In order to determine acceleration when we must consider the following;

- resolve the force of gravity into parallel and perpendicular components.
- use trigonometry can be used to solve for the magnitude of the force components
- finally, get the net force before acceleration can be found.

The given parameters include;

mass of the sled, m = 50 kg

applied on the sled, F = 20 N

The acceleration of the sled is calculated from the Newton's second law of motion;

F = ma

where;

a is the acceleration of the sled

To calculate the acceleration, a, we divide the applied force by the mass of the sled;

Also, the force of gravity must be resolved into parallel and perpendicular components;

where;

- g is the acceleration due to gravity

The magnitude of this force can be resolved using trigonometry or Pythagoras theorem.

Finally, determine the net force;

Choosing all the options that apply;

- resolve the force of gravity into parallel and perpendicular components.
- use trigonometry can be used to solve for the magnitude of the force components
- finally, get the net force before acceleration can be found.

Thus, in order to determine acceleration when we must consider all the options that apply.

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HIGH SCHOOL

A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the stick a distance d from the 50.00 cm mark. (a) The period of oscillation is 2.50 s. Find d. (b) If you moved the pivot 5.00 cm closer to the 50.00 cm mark, what would the period of oscillation be

Answer:

(a). The value of d is 0.056 cm and 1.496 cm.

(b). The time period is 1.35 sec.

Explanation:

Given that,

Length = 50.00 cm

Time period = 2.50 s

Time period of pendulum is defined as the time for one complete cycle.

The period depends on the length of the pendulum.

Using formula of time period

Where, I = moment of inertia

We need to calculate the value of d

Using parallel theorem of moment of inertia

For a meter stick mass m , the rotational inertia about it's center of mass

Where, L = 1 m

Put the value into the formula of time period

Multiplying both sides by d

tex]T^2d=4\pi^2(\dfrac{L^2}{12g}+\dfrac{d^2}{g})[/tex]

Put the value of T, L and g into the formula

The value of d is 0.056 cm and 1.496 cm.

(b). Given that,

L = 50-5 = 45 cm

We need to calculate the time period

Using formula of period

Put the value into the formula

Hence, (a). The value of d is 0.056 cm and 1.496 cm.

(b). The time period is 1.35 sec.

HIGH SCHOOL

As compared to developing countries, developed countries have a A

higher average income, a higher rate of population growth, and produce more waste.

B

lower average income, a higher rate of population growth, and produce less waste.

C

higher average income, a lower rate of population growth, and produce more waste.

D

lower average income, a lower rate of population growth, and produce less waste.

Answer:

B. lower average income, higher population rate, and less waste production.

HIGH SCHOOL

What is the magnitude of the vector described below? "15 ft/s down"

A. 15 ft/s

B. Feet

C. Feet per second

D. Down

The magnitude of the vector described below "15 ft/s down" is 15 ft/s. The correct option is A.

What is vector?A vector is the representation of a physical quantity in magnitude and direction.

For the given, "15 ft/s down" representing both the magnitude and direction.

The magnitude is 15 ft/s.

Thus, the correct option is A.

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A 'vector' is a measurement that has a magnitude and a direction.

For the vector given here, "15 ft/s" is the magnitude, and "down" is the direction.

HIGH SCHOOL

The enthalpy of vaporization of liquid isopropyl alcohol is 45 kJ/mol. Calculate the energy required to vaporize 39.5 g of this compound.

Answer:

29.625 kJ.

Explanation:

Enthalpy of vaporization, ∆Hvap which is also known as the latent heat of vaporization, is the amount of energy required to be added to a liquid substance to change the phase of a quantity of that substance into a gas.

Molar mass of Isopropyl alcohol (C3H80) = (12*3) + (1*8) + 16

= 60 g/mol.

Number of moles = mass*molar mass

= 39.5*60

= 0.658 moles.

Heat required = n * molar enthalpy of vapourisation.

∆Hvap = 45 kJ/mol.

= 0.658*45

= 29.625 kJ.

HIGH SCHOOL

Select all that apply. Which of the following have energy stored as chemical energy? nuclear petroleum biomass geothermal

Energy is a property that is capable of causing changes in a matter, it is measured in joules. Chemical energy is the energy derived from the chemical bonding between atoms. In this case, petroleum and biomass have energy stored in form of chemical energy. Energy can be stored and can never be destroyed or created but is transformed from one form to another.

The answer is petroleum and biomass

HIGH SCHOOL

Rachel is helping her younger brother replace a broken part in his toy ambulance. This part is responsible for converting electric energy into light energy. Which of these devices should they use for the replacement? bulb

buzzer

motor

switch

"The Light Bulb" would be the answer of your question. It converts "Electrical energy" into "Light Energy". So, they should use this, for their replacement purpose in the toy.

In short, Option A is your correct answer.

Hope this helps!

In short, Option A is your correct answer.

Hope this helps!

The light bulb, it takes electrical energy and turns it into light energy!