Answer:
The force of universal gravitation between earth and all objects in it will be quadrupled
Explanation:
Newtons law of universal gravitation tell us the force of attraction between two bodies on the earth surface . This force is directly proportional to the product of the masses of the bodies and inversely proportional to their distance apart.
f is directly proportional to m1*m2
doubling these masses will be 2m1*2m2 = 4m1m2
if mas of earth is Me and mass of all objects is Mo
the f is proportional to Me*Mo
doubling the masses of the earth and all objects we have, 2Me*2Mo= 4MeMo
This means that doubling the masses of the earth and all objects on it will cause the force of gravitational attraction to be quadrupled.
Well, you haven't given us much of a choice of graphs to pick from, have you.
If a sample of an ideal gas is held at constant temperature, then
its pressure and volume are inversely proportional ... the harder
you squeeze it, the smaller the volume gets, and less squeeze
produces more volume.
Actually, the product of (pressure) x (volume) is always the
same number.
The graph of that relationship is all in the first quadrant.
It starts out very high right next to the y-axis, then drops down
toward the x-axis while curving to the right and becoming horizontal,
and ends up trying to get closer and closer to the x-axis but never
actually becoming zero.
Answer:
λ = 3.33 m
Explanation:
<u><em>Given:</em></u>
Frequency = f = 9 × 10⁷ Hz
Speed = v = 3 × 10⁸ m/s
<u><em>Required:</em></u>
Wavelength = λ = ?
<u><em>Formula:</em></u>
v = fλ
<u><em>Solution:</em></u>
<em>Putting the givens in the formula</em>
v = fλ
λ = 
λ = 
λ = 0.33 × 10¹
λ = 3.33 m
Oxygen, hydrogen, sodium, chlorine, lead, iron. Hope this helps!!!
Tools we'll use:
-- Gravitational potential energy = (mass) x (gravity) x (height)
-- Kinetic energy (of a moving object) = (1/2) (mass) x (speed)²
When the pendulum is at the top of its swing,
its potential energy is
(mass) x (gravity) x (height)
= (5 kg) x (9.8 m/s²) x (0.36 m)
= (5 x 9.8 x 0.36) joules
= 17.64 joules .
Energy is conserved ... it doesn't appear or disappear ...
so that number is exactly the kinetic energy the pendulum
has at the bottom of the swing, only now, it's kinetic energy:
17.64 joules = (1/2) x (mass) x (speed)²
17.64 joules = (1/2) x (5 kg) x (speed)²
Divide each side by 2.5 kg:
17.64 joules / 2.5 kg = speed²
Write out the units of joules:
17.64 kg-m²/s² / 2.5 kg = speed²
(17.64 / 2.5) (m²/s²) = speed²
7.056 m²/s² = speed²
Take the square root
of each side: Speed = √(7.056 m²/s²)
= 2.656 m/s .
Looking through the choices, we're overjoyed to see
that one if them is ' 2.7 m/s '. Surely that's IT !
_______________________________
Note:
The question asked for the pendulum's 'velocity', but our (my) calculation
only yielded the speed.
In order to describe a velocity, the direction of the motion must be known,
and the question doesn't give any information on exactly how the pendulum
is hanging, and how it's swinging.
We know that at the bottom of its swing, the motion is completely horizontal,
but we have no clue as to what direction. So all we can discuss is its speed.
