Two cars collide and then stick together in an accident. Car A has a mass of 1000. kg and is moving 5.00 m/s east, and
car B has a mass of 2000. kg and is moving 2.00 m/s west.
What is the speed of the cars after the collision?
b. 1.53m/s
c. 2.43m/s
a. 0.33m/s
d. 3.93m/s

What’s the answer

The speed of the cars after the collision is 0.33 m/s.

The right option is a. 0.33 m/s

To calculate the speed of the cars after the collision, we use the formula below.

Formula:

Where:

make V the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The speed of the cars after the collision is 0.33 m/s.

The right option is a. 0.33 m/s

Learn more about speed here: link

Option A. 0.33 m/s

Explanation:

From the question given above, the following data were obtained:

Mass of A (mₐ) = 1000 kg

Velocity of A (uₐ) = 5 m/s

Mass of B (m₆) = 2000 kg

Velocity of B (u₆) = 2 m/s

Velocity (v) after collision =?

mₐuₐ – m₆u₆ = v (mₐ + m₆)

(1000 × 5) – (2000 × 2) = v (1000 + 2000)

5000 – 4000 = 3000v

1000 = 3000v

Divide both side by 3000

v = 1000 / 3000

v = 0.33 m/s

Thus, the speed of the cars after collision is 0.33 m/s

what is the actual question though?

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.