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An unspecified force causes a 0.20-kg object to accelerate at 0.40 m/s2. If 0.30 kg is added to the 0.20-kg object and the force remains the same, what is the acceleration (in m/s2) of the heavier object? (NEVER include units with the answer to a numerical question.)

Respuesta :

Answer:

a = 0.16

Explanation:

given,

mass of the object 1 = 0.2 kg

mass of the object 2 = 0.3 kg

acceleration when force is on 0.2 kg = 0.4 m/s²

acceleration when both mass are combine = ?

F = m a

F = 0.2 × 0.4

F = 0.08 N

force acting is same and total mass  = 0.2 + 0.3 = 0.5 Kg

F = m a

[tex]a = \dfrac{F}{m}[/tex]

[tex]a = \dfrac{0.08}{0.5}[/tex]

a = 0.16 m/s²

the acceleration  acting when both the body is attached is a = 0.16

Mathematically acceleration is obtained by dividing the force exerted and the mass of the body. The acceleration of the heavier object will be 0.16 m/s².

What is force?

Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.

Force is used to pushing and pulling the object and sometimes changes the direction of motion.

The net force acting on an object is equal to the sum of all forces acting upon it.

Mass of the body (m₁)= 0.20

Mass of the body (m₂)= 0.30

[tex]\rm {F = m_1 {a}}[/tex]

[tex]\rm {F = 0.2\times 0.4}[/tex]

[tex]\RM{F = 0.08 N }[/tex]

The acting force is the same, and the total mass is 0.2 + 0.3 = 0.5 kg.

Total mass = m₁+m₂

m = 0.5

[tex]\rm {F = ma}}[/tex]

[tex]a=\frac{F}{m}[/tex]

[tex]a=\frac{0.08}{0.5}[/tex]

a = 0.16 m/s2 a = 0.16 m/s²

When both bodies are coupled, the acceleration is a = 0.16 m/sec²

To learn more about the force refer to the link;

https://brainly.com/question/26115859