Question

Same amount of force is acting on a car and bus. If the ratio of the mass of the bus and the car is 20:3. Calculate the ratio of acceleration produced in  the car to the bus?​

Answer 1

Answer:

The same amount of force is acting on a car and bus. If the ratio of the mass of the bus and the car is 20:3. The ratio of acceleration produced in the car to the bus will  be $20:3$

 

Explanation:

 

According to Newton's second law of motion, force (F) is the product of mass (m) and acceleration (a) of an object.

That is,    

$F= ma$                                  ...(1)

Let $F_1$ be the force acting on the bus and  $F_2$ be the force acting on the car,

by using equation (1),

$F_ 1 = m_1a_1$                   $F_2 = m_2a_2$

Where

$m_1$ and $m_2$  are the masses of the bus and car.

$a_1$  and $a_2$  are the accelerations of bus and car respectively.

Since

$F_1 = F_2$ ,

$m_1a_1 = m_2a_2$

$\frac{m_1}{m_2} = \frac{a_2}{a_1}$

That is, $m_1: m_2 = a_2:a_1$        ...(2)

In the question, it is given that,

$m_1: m_2 = 20:3$

So,

$a_2:a_1 = 20:3$

The ratio of acceleration produced in the car to the bus is $20:3$.