Question

HELP!

A 75,600 N spacecraft comes in for a vertical landing. From an initial speed of 1 km/s, it comes to rest in 2 minutes with uniform acceleration.
Ignoring the air resistance, what braking force must its rockets provide?
1.4 x 103N
1.4 x 10°N
1.4 x 102N
1.4 x 105N

Answer 1

1.4×10⁵ N

Step-by-step explanation:

Find the acceleration.

Given:

v₀ = -1000 m/s

v = 0 m/s

t = 120 s

Find: a

v = at + v₀

(0 m/s) = a (120 s) + (-1000 m/s)

a = 8.33 m/s²

Find the force.

∑F = ma

F − mg = ma

F = mg + ma

F = m (g + a)

F = (75600 / 9.8) (9.8 + 8.33)

F = 1.4×10⁵ N