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11 months ago

Pls solve this numerical.

Physics

1 answer:

harkovskaia [24]11 months ago

4 0

Answer:

You should write the vectors in their proper sequence: i , j, k

If the vectors are perpendicular their dot product must be zero:

1) A dot B is obviously zero since A and B have no common terms in i , j , k

2) looks like A = 2 i - 4 j + 3 k and B = i + 2 j + 2 k

A dot B = (2 * 1) + (-4 * 2) + (3 * 2) = 0

Note that the dot product produces a scalar with no direction (vector components)

Only i dot i, j dot j, and k dot k have components i dot j = zero, etc.

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Over [174]

Answer:

$\boxed {\boxed {\sf 5.22 \ m}}$

Explanation:

Gravitational potential energy is the energy an object possesses due to its position. It is calculated using the following formula:

$E_P=mgh$

Where m is the mass, g is the acceleration due to gravity, and h is the height.

The object has a mass of 8.72 kilograms. Assuming this occurs on Earth, the acceleration due to gravity is 9.8 meters per second squared. The object gains 446 Joules of potential energy.

Let's convert the units of Joules. This makes the process of canceling units simpler later on. 1 Joule is equal to 1 kilogram meter squared per second squared. The object gains 446 J, which is equal to 446 kg *m²/s².

EP= 446 kg*m²/s²
m= 8.72 kg
g= 9.8 m/s²

Substitute the values into the formula.

$446 \ kg*m^2/s^2 = 8.72 \ kg * 9.8 \ m/s^2 *h$

Multiply on the right side of the equation.

$446 \ kg*m^2/s^2 = 85.456 kg*m/s^2 *h$

We are solving for the height, so we must isolate the variable h. It is being multiplied by 85.456 kg*m/s². The inverse operation of multiplication is division, so we divide both sides by this value.

$\frac{ 446 \ kg*m^2/s^2}{85.456 kg*m/s^2} = \frac{85.456 kg*m/s^2 *h}{85.456 kg*m/s^2}$

$\frac{ 446 \ kg*m^2/s^2}{85.456 kg*m/s^2} =h$

The units of kg*m/s² cancel, leaving meters as our unit.

$\frac{ 446 }{85.456 } \ m =h$

$5.2190601011 \ m =h$

The original measurements of mass and potential energy have 3 significant figures, so our answer must have the same.

For the number we calculated, that is the hundredths place. The 9 in the thousandths place to the right tells us to round the 1 up to a 2.

$5.22 \ m \approx h$

The object was lifted to a height of approximately 5.22 meters.

5 0

2 years ago

The Mass of the Sun is 1.989 × 10^30 kg. The speed of light is 3 x 10^8 m/s. Assuming the Sun is 75% hydrogen, how much Energy c

bogdanovich [222]

Answer:

$E = 13.428 \times 10^{46} J$

Explanation:

Mass of the Sun = $1.989 \times 10^{30} Kg$

Amount of Hydrogen = 75% of Mass of Sun,

thus mass of Hydrogen (m) in the Sun is,

$m = 1.989 \times 10^{30} \times \frac{75}{100}$

m = $1.492 \times 10^{30}$

Speed of Light (c) = $3 \times 10^{8} m/s$

Thus, energy(E) produced if whole of hydrogen is converted into energy,

E = mc²

$E = 1.492 \times 10^{30} \times (3 \times 10^{8} )^{2}$

$E = 1.492 \times 9 \times 10^{46}$

$E = 13.428 \times 10^{46} J$

8 0

2 years ago

What is the period and frequency of the second hand on a clock?

Tanzania [10]

Answer:

Explanation:For second hand, period = 1 min = 3660 s; frequency = 0.0166 Hz}\\\mbox{For minute hand, period = 1 hr = 3600 s; frequency = 2.77}\times10^{-4} Hz\\\mbox{For hour hand, period = 12 hrs = 4300 s; frequency = 2.3}\times10^{-5} Hz.

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1 year ago

Which of these waves cannot travel in a vacuum?

gayaneshka [121]

Light. The black hole is a vacuum, and not even light can escape it's suction

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2 years ago

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pantera1 [17]

D............................

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