1.state the mathematical relationship between the net force acting on an object and the object's change in momentum.
2state the mathematical relationship between the net force acting on an object and the time taken to change the object's momentum
In symbol state tha mathematical relationship between the net force acting on an object and the objects change in momentum
1. The mathematical relationship between the net force acting on an object and the object's change in momentum can be defined by Newton's second law of motion. According to this law, the net force acting on an object is equal to the rate of change of its momentum. Mathematically, it can be expressed as:
Net force (F) = rate of change of momentum (dp/dt)
In terms of symbols:
F = Δp/Δt
Here, F represents the net force, Δp represents the change in momentum of the object, and Δt represents the time interval over which the change in momentum occurs.
2. The mathematical relationship between the net force acting on an object and the time taken to change the object's momentum can be obtained by rearranging the equation from the first question. By isolating the time interval (Δt) on one side of the equation, we get:
Δt = Δp/F
This equation states that the time interval (Δt) is equal to the change in momentum (Δp) divided by the net force (F) acting on the object.
Therefore, the mathematical relationship between the net force and the time taken to change an object's momentum is given by the equation: Δt = Δp/F.
1. Well, the mathematical relationship between the net force acting on an object and the object's change in momentum is actually summed up by one of Newton's famous laws, specifically the second one: F = dp/dt, where F represents the net force, dp is the change in momentum, and dt is the change in time. So, in a nutshell, the net force acting on an object is directly proportional to its change in momentum.
2. Now, when we talk about the mathematical relationship between the net force acting on an object and the time taken to change the object's momentum, it's all about good old Newton's second law again. Remember, F = ma? Well, in this case, we can rearrange it a bit to solve for time: t = mv/F.
So, to change an object's momentum, you need to divide its mass (m) multiplied by its velocity (v) by the net force (F). That will give you the time it takes to change that momentum. But remember, this equation assumes a constant net force, so if things get funky, you might need to get a little more creative.
Thank U
In symbol state the mathematical relationship between the net force acting on an object and the objects change in momentum
net force*timeitisinEffect=changemomentum
net force=changemomentum/time an inverserelation