Answer:
1980 kg m/s due south
8.2 m/s2 north-west
Explanation:
In order a quantity to be a vector, it should both has a magnitude and direction.
27 J/s --> Only magnitude. (Power)
1980 kg m/s due south --> Both magnitude and direction. (Momentum)
8.2 m/s2 north-west --> Both magnitude and direction. (Acceleration)
3.2 mi straight up --> Direction is not clear. (Position)
2.9 m/s2 --> Only magnitude. (Magnitude of acceleration)
293 K --> Only magnitude. (Temperature)
200 s --> Only magnitude. (Time)
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.
Answer:
The oceans' deepest area is the Mariana Trench, also called the Marianas Trench, which is in the western part of the Pacific Ocean. The trench is 1,554 miles long and 44 miles wide, or 120 times larger than the Grand Canyon. According to the National Oceanic and Atmospheric Administration, the trench is almost 5 times wider than it is deep.
Explanation:
Answer:
D
Explanation:
the formula is F=mgh
so now you can write it like
m= 4×50=200
200×1.5×10=30000
What's your question? is it seprete questions
