1. Find constant B 2. Find net force on this rocket the instant after the fuel i

Question

1. Find constant B
2. Find net force on this rocket the instant after the fuel ignites.
3. Find the acceleration of this rocket the instant after the fuel ignites.
4. Find the net force on this rocket 3.9s after fuel ignition.
5. Find the acceleration of this rocket 3.9s after fuel ignition.

Find Constants A small 7.10-kg rocket burns fuel that exerts a time-varying upward force on the rocket. This force obeys the equation F A +Bt. Measurements show that at t-0, the force is 117.0 N, and at the end of the first 2.50 s, it is 158.0 N Li

Explanation / Answer

Solution,

A)

F = A + Bt^2

158 = 117 + B(2.5)^2

B = 6.56

B)

Net force = 117 - mg = 117 - 7.1 x 9.8 = 47.42 N

C)

Acceleration, a = Net force/m = 6.68 m/s^2

D)

Fnet = 117 + (6.56 x 3.9^2) - (7.1 x 9.8) = 147.20 N

E)

Acceleration, a = Fnet/m = 20.73 m/s^2

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