A 19,600 N Lincoln Town Car traveling in the +x direction makes a fast stop; the x-component of the net force acting on it is -15,000 N. What is its acceleration?
F = ma
so
-15000 = (19600/9.81)*a
solve for a
To find the acceleration of the Lincoln Town Car, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
The given net force acting on the car is -15,000 N, and the mass of the car is not provided. To find the acceleration, we need to determine the mass of the car.
The weight of the car can be calculated using the equation:
Weight = Mass × Gravitational acceleration
The weight of the car is given as 19,600 N, and the acceleration due to gravity is approximately 9.8 m/s^2.
19,600 N = Mass × 9.8 m/s^2
Now, we can calculate the mass of the car:
Mass = 19,600 N / 9.8 m/s^2 = 2000 kg
Now that we have the mass of the car, we can calculate the acceleration:
Acceleration = Net force / Mass
Acceleration = -15,000 N / 2000 kg
Acceleration = -7.5 m/s^2
Therefore, the acceleration of the Lincoln Town Car is -7.5 m/s^2. The negative sign indicates that the car is decelerating or slowing down in the +x direction.
To calculate the acceleration of the Lincoln Town Car, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
Given:
Net force acting on the car (Fx) = -15,000 N
Mass of the car = 19,600 N
Using the formula for acceleration:
Acceleration (a) = Net force (Fx) / Mass
Plugging in the given values:
Acceleration (a) = -15,000 N / 19,600 kg
Calculating the acceleration:
Acceleration (a) ≈ -0.765 m/s²
Therefore, the acceleration of the Lincoln Town Car is approximately -0.765 m/s². The negative sign indicates that the acceleration is in the opposite direction to the positive x-direction of the car's motion.