Question

5. What force would be needed to produce the acceleration of 4m/s2 in a ball of mass 6kg.

Answer 1

Given

☛ Acceleration = 4 m/s²

☛ Mass = 6 kg

To find

☛ Force produced = ?

Concept

☛ It's completely based on Newton's 2nd law of motion.

☛ Newton's 2nd law states that force produced on a body is equal to mass of body and acceleration of body.

☛ Force = Mass × Acceleration

☛ S.I. unit of force : Newton (N) ; kgm/s²

Solution

We have ;

⟼ Mass (M) = 6 kg

⟼ Acceleration (a) = 4 m/s²

Now using Newton's 2nd law :-

☛ Force = Mass * Acceleration

Substituting values,

➼ Force = 6 × 4

➺ Force = 24

➼ Force = 24 N

∴ Force produced on body = 24 Newtons.

Answer 2

Explanation:

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$\red{\bold{\underline{\underline{Given:}}}}$

Acceleration,a=4m/s^2

Mass, m=6kg

$\green{\bold{\underline{\underline{To be calculate}}}}$

Calculate the force,F

Force=mass×acceleration

$\pink{\bold{\underline{\underline{Solution;}}}}$

we know that:

Force=mass×acceleration

✴substituting the values of mass and acceleration in formula.

Now,

F=6×4

F=24kg.m/s^2

F=24N

➡Thus, the force required in this case is 24 N.

$\orange{\bold{\underline{\underline{Extras;}}}}$

It is a concise statement of Isaac Newton's Second Law of Motion, holding both the proportions and vectors of the Second Law. It translates as: The net force on an object is equal to the mass of the object multiplied by the acceleration of the object. ... Force equals mass times acceleration.

FORCE:

⭐Force can also be described intuitively as a push or a pull.

⭐A force has both magnitude and direction, making it a vector quantity.

⭐Other units: dyne, pound-force, poundal, kip, kilopond

⭐In SI base units: kg·m/s2

⭐Common symbols: F→, F, F

⭐Derivations from other quantities: F = m a

⭐SI unit: Newton.

MASS:

⭐Mass is both a property of a physical body and a measure of its resistance to acceleration when a net force is applied.

⭐An object's mass also determines the strength of its gravitational attraction to other bodies.

⭐The basic SI unit of mass is the kilogram.

ACCELERATION:

⭐Acceleration is the rate of change of velocity.

⭐The SI unit of acceleration is the metre per second squared (m s−2); or "metre per second per second", as the velocity in metres per second changes by the acceleration value, every second.

⭐SI unit: m/s2, m·s−2, m s−2

⭐Dimension: L T −2