Question

A force of 1 N is the only horizontal force exerted on a block, and the horizontal acceleration of the block is
measured. When the same horizontal force is the only force exerted on a second block, the horizontal acceleration
is three times as large. What can you conclude about the masses of the two blocks?

Answer 1

The mass of the first block will be three times the mass of the second block.

According to Newton's second law of motion, the force acting on a body is directly proportional to the acceleration as shown;

$F\ \alpha \ a$

$F = ma$

F is the acting force

m is the mass

a is the acceleration of the body

Given the following parameters

Constant force F =  1N

For the first block with the acceleration of "a"

1 = m₁a

a = m₁/1

m₁ = a .................1

For the second block, acceleration is thrice that of the first. This means;

F = m(3a)

1 = 3ma

$m_2=\frac{1}{3a}$ ..........................2

Divide both equations

$\frac{m_1}{m_2} =\frac{a}{(\frac{1}{3a} )}\\\frac{m_1}{m_2} = 3\\m_1 = 3m_2$

From the calculation, we can conclude that the mass of the first block will be three times the mass of the second block.

Learn more here: https://brainly.com/question/19030143