A 2.44×104-kg rocket blasts off vertically from the earth's surface with a constant acceleration. During the motion considered in the problem, assume that g remains constant. Inside the rocket, a 18.9-N instrument hangs from a wire that can support a maximum tension of 44.1 N .7

How far is the rocket above the earth's surface when it breaks the sound barrier? Find the minimum time for this rocket to reach the sound barrier (330 m/s) without breaking the inside wire. Find the maximum vertical thrust of the rocket engines under these conditions.

 x = 2381.2 m ,    t = 14.43 s ,  I = 8.05 10⁶ N s

Explanation:

a) to find the distance to break the sound barrier (v = 330 m / s) we use the kinematic relationship

           v² = v₀² + 2 a x

To find the acceleration suppose the rocket does not break the wire that holds the load, so we can use the second Newton law to find the maximum acceleration

            T = m a

            a = T / m

Body mass and weight is related

           W = mg

           m = W / g

           a = T g / W

           a = 44.1   9.8 / 18.9

           a = 22,867 m / s²

Let's look for the distance if part of the rest

          x = v² / 2 a

          x = 330² /(2  22,867)

          x = 2381.2 m

.b) the time to break this barrier

          v = v₀ + a t

          t = v / a

          t = 330 / 22,867

          t = 14.43 s

c) the thrust is

          I = Δp

          I = m –m v₀

          I = 2.44 10⁴ 330 -0

          I = 8.05 10⁶ N s

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​

power out to power in less than 100%