A rocket with a lift-off mass 10^5 kg is blasted upward with an initial acceleration of 5 ms^-

step 1 In this question it is told that a rocket with a lift of mass is blasted upward with an initial

A rocket with a lift-off mass 10^5 kg is blasted upward...

A rocket with a lift-off mass $10^{5} \mathrm{~kg}$ is blasted upward with an initial acceleration of $5 \mathrm{~ms}^{-2}$. If $g=10 \mathrm{~ms}^{-2}$, then the initial thrust of the blast is (a) $1.5 \times 10^{2} \mathrm{~N}$ (b) $1.5 \times 10^{3} \mathrm{~N}$ (c) $1.5 \times 10^{5} \mathrm{~N}$ (d) $1.5 \times 10^{6} \mathrm{~N}$

A rocket with a lift-off mass $10^{5} \mathrm{~kg}$ is blasted upward with an initial acceleration of $5 \mathrm{~ms}^{-2}$. If $g=10 \mathrm{~ms}^{-2}$, then the initial thrust of the blast is
(a) $1.5 \times 10^{2} \mathrm{~N}$
(b) $1.5 \times 10^{3} \mathrm{~N}$
(c) $1.5 \times 10^{5} \mathrm{~N}$
(d) $1.5 \times 10^{6} \mathrm{~N}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Newton's Second Law

This fundamental principle in mechanics states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In the context of the problem, it is used to compute the total force required to accelerate the rocket upward, combining both the force necessary to overcome gravitational pull and to provide additional acceleration.

Thrust Force

Thrust is the force generated by a rocket's engine that propels it upward. In problems like this, the thrust must overcome both the gravitational force acting on the mass (which is mg) and provide the desired upward acceleration (ma). Therefore, the total thrust is calculated as the sum of these two forces.

Gravitational Force

Gravitational force is the force with which the Earth pulls objects toward its center, typically defined as the product of the object's mass and the gravitational acceleration (g). This force must be counteracted by the rocket's thrust during take-off for the rocket to accelerate upward.

Transcript

Please give Ace some feedback