# Newton's 2nd Law conceptual problem

A 15,000 kg rocket blasts off from earth with a uniform upward acceleration of 2.0 m/s2 and feels no air resistance. The thrust force its engines must provide during this acceleration is 30,000 N upward.

Apparently this is FALSE!

I don't understand why
F=MA
$$30000N=15000kg*2m/s^2$$

indeed the math is true?

why is the answer false? What am I missing? Thanks!

cjl
Because you have to also counter the rocket's weight, so the force must be equal to the rocket's weight plus an additional 30,000 N to cause a 2 m/s2 upward acceleration.

(It might be easier to see if you draw a free body diagram)

Expanding cjl's post:

$$30000N=15000kg*2m/s^2$$
is wrong; while
$$F=15000kg*(2m/s^2 + 9.8m/s^2)$$
is the right expression.

Remember that F in Newton's 2nd law are all the forces that are acting on a body. Thus, besides the upward force, you also have a downward force, which is gravity.