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1 year ago

A 45 kg skydiver has a speed of 25 m/s at an altitude of 950 meters above the ground. Determine the

Mathematics

1 answer:

Montano1993 [528]1 year ago

3 0

The kinetic energy possessed by the skydiver is 14, 062. 5 Joules

<h3>What is kinetic energy?</h3>

Kinetic energy of an object is defined as the energy possessed by an object due to its motion.

It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.

The formula for calculating kinetic energy is expressed as;

Kinetic energy = 1/2 mv²

Where;

m is the mass of the object
v is the velocity of the object

Now, substitute the values

Kinetic energy = 1/2 (45)(25)²

Find the square

Kinetic energy = 1/2 (45)(625)

Find the product

Kinetic energy = 1/2(28125)

Find the quotient

Kinetic energy = 14, 062. 5 Joules

Hence, the value is 14, 062. 5 Joules

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One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo

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What is a linear equation in math?

A linear equation only has one or two variables.
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Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

$x_{2} = 4x_{1}$ ( 4 time faster maid )

Now, time taken by both of the made together is given by ,

$( \frac{x_{1}x_{2} }{x_{1} + x_{2} } )$

$\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} } = 4 hours$

$\frac{4x_{1} }{5} = 4 hours$

$x_{1} = 5 hours$ which is the time required by faster maid.

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8 0

1 year ago

Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 3, start fraction, 1, divided by, 2, end fraction liters of tea

barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks $5\frac{1}{4}\ liters\$ in 1 hour

Step-by-step explanation:

$Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\$ $\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\ 1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters$

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2 years ago