Question

what is force applied on a body of 750 grams moving with an acceleration of 19.8 m/s​

Answer 1

Explanation:

F=ma

m=0.75kg

a=19.8m/s^2

F=0.75x19.8

F=14.85N

Answer 2

14.85 N is the required answer.

GIVEN:

• Mass of the body, m = 750 g
• Acceleration of the body, a = 19.8 m/s²

TO FIND:

Force applied on the body, f

FORMULA:

According to Newton's second law of motion, f = ma

SOLUTION:

STEP 1: TO CONVERT MASS IN STANDARD UNIT:

• SI unit of mass is kilogram, kg

• 1 gram = 10^-3 kg

• 750 g = 750 × 10^-3 kg

• Mass, m = 75 × 10^-2 kg

STEP 2: TO FIND FORCE:

$f= ma\\\\f= 75\times10^-2\times19.8\\\\f= 1485\times10^-2\\\\f=\dfrac{1485}{100}\\\\f=14.85\: N$

ANSWER:

The force applied on the body is 14.85 newton.

IMPORTANT POINTS:

• Force is defined as the product of mass and acceleration.

• It is a vector quantity having its direction in the direction of motion of the body.

• The unit of force is newton or kgm/s²

• f = ma is the result of Newton's second law of motion.

• Newton's second law of motion states that force is equal to the rate of change of momentum. F = dp/dt

• When mass of the object remains constant, we can derive f = ma using Newton second law.