Question

Same amount of force is acting on a car and bus. It the ratio of the mass of the bus and the car is 50 : 1, calculate the ratio of the acceleration produced in the car to the acceleration produced in the bus.

Answer 1

Answers

joe13

joe13 Helping Hand

We know that

f=ma

let acceleration of bus= a1

" " " car=a2

let mass of bus=m1

" " " car=m2

ATQ

f=m1a1=m2a2

a1=f/m1

a2=f/m2

so ratio=(f/m2)/(f/m1)

=m1/m2

=25/1

=25:1

Answer 2

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 50: 1, the ratio of the acceleration produced in the car to the acceleration produced in the bus will be $50:1$

Explanation:

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

Or    

$F= ma$                                  ...(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,

$m_1: m_2 = 50:1$                      ...(3)

So using equations (2) and (3),

$a_2:a_1 = 50:1$

The ratio of acceleration produced in the car to the bus is $50:1$.