Question

A spacecraft of mass 10 tonnes requires an acceleration of 11ms-2 to reach a space station. What force must the rockets produce on the spacecraft?

Answer 1

Answer: Given:-

Mass=10tonnes (convert to kg)

=10000kg

Acceleration=11m/s²

Force=mass×acceleration

=10000×11

=110000N

Explanation:

Answer 2

$\large{\underline{\underline{Answer}}}$

Given :

Mass of the spacecraft = 10 tonnes

Acceleration = 11m/s^2

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Required to find :

1. Force required to be produced by the rocket on the spacecraft .

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Units Conversion :

Before coming to the explanation and solution .

First it is necessary to convert some units from one unit to another .

Here,

We need to convert the mass from tonnes to kilograms .

To convert tonnes into kilograms we need to use an formula .

The formula is ,

$\boxed{1 \: ton = 1000 \: kilograms}$

So,

10 tonnes = ? kilograms

$\implies{10 \: tonnes = 10 \times 1000 \: kilograms}$

$\implies{10 \: tonnes = 10000 \: kilograms}$

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Explanation :

Here, in the question we are given with

• Mass
• Acceleration

We need to find the force required to be produced by the rocket on the spacecraft .

This can be founded by using the most familiar formula .

The formula is,

$\boxed{\huge{F = m \times a}}$

Here,

$\longrightarrow{ \:' F \: ' \: represents \: force }$

$\longrightarrow{'m' \: \: represents \: \: Mass}$

$\longrightarrow{'a' \: \: represents \: \: acceleration}$

Using this we can find the force required .

Additional Information :

Actually , this force was been derived from the Newton's 2nd law of motion .

This formula is very useful in solving many numerical's in physics .

Now, let's crack the Numerical .

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Solution :

Given values ,

❶. Mass of the spacecraft = 10 tonnes = 10,000 kgs

❷. Acceleration = 11m/s^2

Using the formula

$\longrightarrow{\boxed{\large{Force = Mass \times Acceleration }}}$

Hence,

Now substitute the required values in the formula .

We get,

$\Rightarrow{Force = 10000 \: kg \times 11 \: m/{s}^{2}}$

$\longrightarrow{Force = 1,10,000 \: Kg * m/{s}^{2}}$

The S.I. unit of force is newton .

Similarly,

$\rightarrow{1 kg*m/{s}^{2} = 1 \: newton \: }$

So,

$\implies{Force = 1,10,000 \: newton's}$

Hence,

$\boxed{\small{Force \: required \: to \: be \: produced \: by \: the \: rocket \: on \: the \: spacecraft }} \\{\boxed { = \: 1,10,000 newton's .}}$

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✅ Hence Solved ..