Question

Calculate the force needed to speed up a car with a rate of 5ms–2, if the mass of
the car is 1000 kg.

Answer 1

Answer :

Given :

Mass of the car = 1000kg

Rate of acceleration = 5m/s^2

Required to find :

1. Force needed to speed up the car

Solution :

To solve this question we should know about the Newton's 2nd law of motion .

Using this law we can derive an formula to solve this question.

Let me explain this to you.

$\rule{200}{4}$

Newton's 2nd law of motion

Newton's 2nd law of motion states that;

The rate of change of momentum is directly proportional to the unbalanced force in the direction of force .

This is represented as

$force = \frac{mv - mu}{t} \\ force = \frac{m(v - u)}{t} \\ from \: the \: first \: equation \: of \: motion \\ we \: get \: \frac{v - u}{t} = a \\ hence \\ f = m \times a \\ force = mass \times acceleration$

Therefore;

we derived a formula to solve this question.

Using this formula we can solve many numerical questions.

Let's substitute the values and find out the answer;

Force = mass × acceleration

➱ Force = 1000kg × 5m/s^2

= 5000 newton's

Therefore;

The force needed to speed up the car is 5000 newtons or 5000 N

Answer 2

Answer:

Answer :

Given :

Mass of the car = 1000kg

Rate of acceleration = 5m/s^2

Required to find :

Force needed to speed up the car

Solution :

To solve this question we should know about the Newton's 2nd law of motion .

Using this law we can derive an formula to solve this question.

Let me explain this to you.

\rule{200}{4}

Newton's 2nd law of motion

Newton's 2nd law of motion states that;

The rate of change of momentum is directly proportional to the unbalanced force in the direction of force .

This is represented as

\begin{gathered}force = \frac{mv - mu}{t} \\ force = \frac{m(v - u)}{t} \\ from \: the \: first \: equation \: of \: motion \\ we \: get \: \frac{v - u}{t} = a \\ hence \\ f = m \times a \\ force = mass \times acceleration\end{gathered}

force=

t

mv−mu

force=

t

m(v−u)

fromthefirstequationofmotion

weget

t

v−u

=a

hence

f=m×a

force=mass×acceleration

Therefore;

we derived a formula to solve this question.

Using this formula we can solve many numerical questions.

Let's substitute the values and find out the answer;

Force = mass × acceleration

➱ Force = 1000kg × 5m/s^2

= 5000 newton's

Therefore;

The force needed to speed up the car is 5000 newtons or 5000 N