Answer :
A 1200 kg SUV will take 1875.6 N of net force to accelerate it across 200 meters at 25 m/s from a standstill.
Where:
a = acceleration (m/s²)
v = final velocity (m/s)
u = initial velocity (m/s)
s = distance (m)
v² - u² = 2as
a = v² - u²/2s
a = 25² - 0²/2(200)
a = 625/400
a = 1.563m/s²
Since a = 1.563m/s²
F = 1200 × 1.563
F = 1875.6N
Therefore, a 1200 kg SUV will need to accelerate with a net force of 1875.6 N over a 200 m distance to reach a speed of 25 m/s.
In mechanics, a force is any action that has the potential to change, maintain, or deform a body's motion. The three principles of motion outlined by Isaac Newton in his Principia Mathematica are frequently used to illustrate the concept of force (1687). Newton's first law states that a body at rest or moving uniformly in a straight line will stay in that state until a force is applied to it. According to the second law, a body will accelerate (change in velocity) in the direction of any external force acting on it. The amount of acceleration is directly related to the amount of external force.
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