1. Two vectors have magnitudes 6 & 8 units, respectively. Find the maximum &

Physics

1 answer:

defon3 years ago

5 0

Answer:

The maximum magnitude of their resultant is 14 units, and the minimum is 2 units

Explanation:

Resultant Vectors

When two or more vectors are added or subtracted, the resultant vector can be found by considering their magnitudes and directions.

Two vectors applied to the same point can produce a result that can vary from being completely collaborative or completely opposite.

If two vectors act in a collaborative form, their magnitudes are added and the result has the maximum possible magnitude. If they act in opposite directions, the result has the minimum possible magnitude.

Thus, being 6 and 8 units the magnitudes of the vectors, the maximum magnitude of their resultant is 14 units, and the minimum is 2 units.

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A ball is projected with an initial velocity of 40 meter per second and reached maximum height of 160 meters calculate tge angle

Andru [333]

There's a problem with the question as given. Even with a maximum projection angle of θ = 90°, the initial velocity is not large enough to get the ball up in the air 160 m. With angle 90°, the ball's height y at time t would be

y = (40 m/s) t - 1/2 g t ²

Set y = 160 m, and you'll find that there is no (real) solution for t, so the ball never attains the given maximum height.

From another perspective: recall that

v ² - v₀² = 2a ∆y

where

• v₀ = initial velocity

• v = final velocity

• a = acceleration

• ∆y = displacement

At its maximum height, the ball has zero vertical velocity, and ∆y = maximum height = 160 m. The ball is in free fall once it's launched, so a = -g.

So we have

0² - (40 m/s)² = -2g (160 m)

but this reduces to

(40 m/s)² = 2 (9.8 m/s²) (160 m)

1600 m²/s² ≠ 3136 m²/s²

7 0

3 years ago

You have a 3.00-liter container filled with N₂ at 25°C and 4.45 atm pressure connected to a 2.00-liter container filled with Ar

LuckyWell [14K]

Answer : The final pressure in the two containers is, 2.62 atm

Explanation :

Boyle's Law : It is defined as the pressure of the gas is inversely proportional to the volume of the gas at constant temperature and number of moles.

$P\propto \frac{1}{V}$