Answer:
B. 0.54 m/s²
Explanation:
Acceleration: This can be defined as the rate of change of velocity. The S.I unit of acceleration is m/s².
From Newton's fundamental equation,
F = ma .................. Equation 1
Where F = force applied on the automobile, m = mass of the automobile, a = acceleration of the automobile.
Making a the subject of the equation,
a = F/m .................. Equation 2
But,
W = mg................... Equation 3
Where W = weight of the automobile, g = acceleration due to gravity.
Given: W = 9000 N, g = 9.8 m/s²
Substitute into equation 3
9000 = 9.81m
m = 9000/9.81
m = 917.43 kg.
Also given: F = 500 N. and m = 917.43 kg
Substitute into equation 2,
a = 500/917.43
a = 0.54 m/s²
Hence the acceleration of the automobile = 0.54 m/s²
The right option is B. 0.54 m/s²