Question

The horizontal surface on which the objects slide is frictionless. If M = 1.0 kg and the magnitude of the force of the small block on the large block is 5.2 N, determine F
---->2M4M

Answer 1

Answer:

The force is 7.8 N.

Explanation:

Given that,

Mass of small object = 2M

Mass of large object = 4M

Here, M = 1.0 kg

Force of the small block = 5.2 N

We need to calculate the acceleration of 4 kg block

Using formula of force

$F=ma$

$a=\dfrac{F}{m}$

$a=\dfrac{5.2}{4}$

$a=1.3\ m/s^2$

The 2 kg block is also accelerating at 1.3 m/s², making a total of 6 kg.

We need to calculate the force

Using formula of force

$F=ma$

Put the value into the formula

$F=6\times1.3$

$F=7.8\ N$

Hence, The force is 7.8 N.