A car has a mass of 1.34 × 10^3 kg.
If the force acting on the car is 6.46 × 10^3
N to the east, what is the car’s acceleration?
To find the car's acceleration, you need to use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
The formula for Newton's second law of motion is:
F = m * a
Where:
F is the net force acting on the object,
m is the mass of the object,
a is the acceleration of the object.
In this case, you are given the force (F) acting on the car and the mass (m) of the car. You need to rearrange the formula to solve for acceleration (a):
a = F / m
Now, plug in the given values:
F = 6.46 × 10^3 N (force acting on the car)
m = 1.34 × 10^3 kg (mass of the car)
a = (6.46 × 10^3 N) / (1.34 × 10^3 kg)
Simplify the equation:
a = 4.8333 m/s²
Therefore, the car's acceleration is approximately 4.83 m/s² to the east.