The change in velocity is 20 m/s to the north.
Explanation:
It is given that,
When the front wheels are over the scale, the weight recorded by the scale is 5800 N, F₁ = 5800 N
When the rear wheels are over the scale, the scale reads 6500 N, F₂ = 6500
The distance between the front and rear wheels is measured to be 3.20 m, x₂ = 3.2 m
We need to find the location of center of mass behind the front wheels. Let the center of is located at a distance of x₁. Thus balancing the torques we get :

On solving the above equation we get, x₂ = 1.69 m
So, the center of mass is located at a distance of 1.69 meters behind the front wheels.
Answer:
the time taken for the automobile to travel the given distance is 80 mins.
Explanation:
Given;
speed of the automobile, v = 30 km/h
distance traveled by the automobile, x = 40 km
The time taken for the automobile to cover the given distance is calculated as;
time = distance / speed
time = 40 / 30
time = 1.3333 hours = 1.3333 hr x 60mins/hr = 80 mins
Therefore, the time taken for the automobile to travel the given distance is 80 mins.