Acceleration of a Vehicle with Mass 1000kg and Applied Force 5000N


When a force is applied to an object, it causes the object to accelerate. The acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In this case, we have a vehicle with a mass of 1000kg and an applied force of 5000N. We can calculate the acceleration of the vehicle using Newton's second law of motion.


Newton's second law of motion states that the acceleration of an object is directly proportional to the net force applied on it and inversely proportional to its mass. Mathematically, it can be represented as:

F = m * a

Where:
- F is the net force applied on the object,
- m is the mass of the object, and
- a is the acceleration of the object.


Using the formula mentioned above, we can rearrange it to solve for acceleration:

a = F / m

Given that the mass (m) of the vehicle is 1000kg and the applied force (F) is 5000N, we can substitute these values into the equation:

a = 5000N / 1000kg

Simplifying the equation, we get:

a = 5 m/s²


The acceleration of the vehicle with a mass of 1000kg and an applied force of 5000N is 5 m/s². This means that for every second the force is applied, the vehicle's speed will increase by 5 meters per second.

F= ma
5000N=100kg×a
a=5000/1000
a= 5m/s^2(Ans).