Question

A 10,000-kg rocket blasts off from earth with a uniform upward acceleration of 2.00 m/s2 and feels no air resistance. The upward thrust force its engines must provide during this acceleration is closest toA 10,000-kg rocket blasts off from earth with a uniform upward acceleration of 2.00 m/s2 and feels no air resistance. The upward thrust force its engines must provide during this acceleration is closest to:
a. 118,000 N.
b. 78,000 N.
c. 980,000 N.
d. 20,000 N.

Answer 1

Answer:

A.

Explanation:

To solve this exercise we use the concept given in Newton's second Law in which it is specified that

$F = ma$

Where,

F = Force

m = mass

a = Acceleration

In the given problem the rocket blast off from earth with a uniform upward acceleration of $2m / s ^ 2$

Taking into account that on earth the force of gravity also acts, which has a value of $9.8m / s ^2$, we have to

$F= m (a+g)$

$F = 10000(2+9.8)$

$F = 118000N$

Therefore the correct answer is A.

Answer 2

The upward thrust force provided by the rocket's engines during this acceleration is: a. 118,000 N.

Given the following data:

• Mass of rocket = 10,000 kg

• Acceleration = 2 $m/s^2$

We know that acceleration due to gravity (g) on Earth is equal to 9.8 meter per seconds square.

To find the upward thrust force provided by the rocket's engines during this acceleration:

Mathematically, the upward thrust force for an object is given by the formula:

$F = m(a + g)$

Where:

• F is the upward thrust force.

• m is the mass.

• a is the uniform upward acceleration.

• g is the acceleration due to gravity.

Substituting the given parameters into the formula, we have;

$F = 10000(2 + 9.8)\\\\F = 10000(11.8)$

F = 118,000 Newton.

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