A 1 tonne caravan is being towed by a car which provides a constant drawbar pull of 40 N. If the
resistance to motion is 20 N, calculate the acceleration of the car and the caravan.
Acceleration of car 1/25 acceleration of carravan 1/50
F = m× (v- u )/t
40=1000 × a
A = 1/25 of car
A= 1/50 of caravan
To calculate the acceleration of the car and caravan, we can use Newton's second law of motion:
F = ma
where F is the net force, m is the mass, and a is the acceleration.
Let's start by calculating the net force on the car and caravan:
Net force = Drawbar pull - Resistance to motion
For the car:
Net force on the car = 40 N - 20 N = 20 N
For the caravan:
Net force on the caravan = 20 N
Now, we'll use the net force and the mass of the car and caravan to calculate their respective accelerations:
For the car:
Mass of the car = mass of the caravan = 1 tonne = 1000 kg
Acceleration of the car = Net force on the car / Mass of the car
Acceleration of the car = 20 N / 1000 kg
Acceleration of the car = 0.02 m/s^2
For the caravan:
Acceleration of the caravan = Net force on the caravan / Mass of the caravan
Acceleration of the caravan = 20 N / 1000 kg
Acceleration of the caravan = 0.02 m/s^2
Therefore, the acceleration of the car and the caravan is both 0.02 m/s^2.
To calculate the acceleration of the car and caravan, we need to use Newton's second law of motion. According to this law, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
First, let's calculate the net force acting on the car and caravan. The net force is the difference between the drawbar pull and the resistance to motion:
Net force = Drawbar pull - Resistance to motion
Net force = 40 N - 20 N = 20 N
Now, let's calculate the combined mass of the car and caravan. Since we are given that the caravan weighs 1 tonne (which is equivalent to 1000 kg) and the mass of the car is not given, we'll assume it is negligible compared to the mass of the caravan. Therefore, the mass of the car and caravan together would be 1000 kg:
Mass (caravan + car) = 1000 kg
Now, we can calculate the acceleration using Newton's second law:
Acceleration = Net force / Mass
Acceleration = 20 N / 1000 kg
Acceleration = 0.02 m/s^2
Therefore, the acceleration of the car and caravan is 0.02 m/s^2.