Question

If acceleration of a body of mass 5000 g is 30 m/s 2 , then calculate the amount of force acting on the body​

Answer 1

Provided that:

• Mass = 5000 g
• Acceleration = 30 m/s sq.

To calculate:

• Amount of force

Solution:

• Amount of force = 150 N

Using concepts:

• Second law of motion that tell us about the formula to calculate force.

• Formula to convert g into kg.

Using formulas:

• Force formula:

• ${\small{\underline{\boxed{\pmb{\sf{Force \: = ma}}}}}}$

Where, a denotes acceleration and m denotes mass of the body.

• Formula to convert g-kg:

• ${\small{\underline{\boxed{\pmb{\sf{1 \: g \: = \dfrac{1}{1000} \: kg}}}}}}$

Required solution:

~ Firstly let us convert grams into kilograms by using suitable formula!

$:\implies \sf 1 \: g \: = \dfrac{1}{1000} \: kg \\ \\ :\implies \sf 1 \: g \: = \dfrac{5000}{1000} \: kg \\ \\ :\implies \sf 1 \: g \: = \dfrac{5}{1} \: kg \\ \\ :\implies \sf 1 \: g \: = 5 \: kg$

• Henceforth, converted!

~ Now let us find out the force by using suitable formula!

$:\implies \sf Force \: = Mass \times Acceleration \\ \\ :\implies \sf F \: = ma \\ \\ :\implies \sf F \: = 5 \times 30 \\ \\ :\implies \sf F \: = 150 \: N \\ \\ :\implies \sf Force \: = 150 \: Newton$

• Henceforth, force = 150 N