calculate the acceleration prodused in a body of 50g by applying a force of 1N
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20 m/s² is the required answer.
GIVEN:
- Mass of body, m = 50 g
- Force, f = 1 N
TO FIND:
Acceleration produced in the body , a
FORMULA:
According to Newton's second law of motion,
f = ma
SOLUTION:
STEP 1: TO CONVERT MASS IN STANDARD UNITS
- The standard unit of mass is kilogram, kg
- 1 gram = 10^-3 kg
- 50 g = 50× 10^-3 kg
- Mass, m = 5× 10^-2 kg
STEP 2: TO FIND ACCELERATION
f = ma
a = f/m
a =1 / (5 × 10^-2)
a = 10² / 5
a = 100 / 5
a = 20 m/s²
Acceleration, a = 20 m/s²
ANSWER:
Acceleration produced in the body is 20 m/s²
NEWTON'S SECOND LAW OF MOTION:
- The law states that force is equal to the rate of change of momentum of body.
- f = dp/dt
- f = ma is the result of Newton's second law of motion, when mass is constant.
- Here force is defined as the product of mass and acceleration.
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