Question

A 500 kg motor cycle and a 1500 kg car are given same accelerations. How much greater is the force on car on motor cycle?​

Answer 1

m1 = 500 kg

m2 = 1500 kg

acceleration is equal on both masses

hence, by the condition we have,

as we know,

F = M. a

F1 = 500 a

f2 = 1500a

F2/ F1 = 1500a/500a

F2 / F1 = 3

F2 = 3F1

from this we know that,

The force on car is 3times greater than force on motor cycle.

Answer 2

Given: A 500 kg motorcycle and a 1500 kg car are given the same accelerations.

To find: The amount of force that is greater on the car than on the motorcycle.

Solution:

• Force is an external cause that changes or tends to change the state of motion or of rest exhibited by the body.
• It is given by the formula,

        $F = m * a$

• Here, m is the mass, a is the acceleration and F is the force on the object.

• The force exhibited by two different objects is equated as,

        $\frac{F_{1}}{F_{2}} = \frac{m_{1} a_{1}}{m_{2} a_{2}}$

• F₁ is the force exhibited by the motorcycle and F₂ is the force exhibited by the car.

• Since they are given the same accelerations, the accelerations in the equation get cancelled out.

        $\frac{F_{1}}{F_{2}} = \frac{500 kg}{1500 kg}$

        $\frac{F_{1}}{F_{2}} = \frac{1}{3}$

Therefore, the force applied to the car is three times greater than the force on the motorcycle.