Answer:
The force acting on the object at
is
.
Explanation:
Given that object has a constant mass in time, the force acting on the object (
), in newtons, is defined by following expression:
(1)
Where:
- Mass, in kilograms.
- Acceleration, in meters per square second.
By definition of acceleration, we know that:
(2)
Let suppose that given vector velocity is expressed in meters per second. If we know that
,
and
, then the force acting on the object is:
![\vec a = (2, 8\cdot t)\,\left[\frac{m}{s^{2}} \right]](https://tex.z-dn.net/?f=%5Cvec%20a%20%3D%20%282%2C%208%5Ccdot%20t%29%5C%2C%5Cleft%5B%5Cfrac%7Bm%7D%7Bs%5E%7B2%7D%7D%20%5Cright%5D)
![\vec F = (4, 16\cdot t)\,[N]](https://tex.z-dn.net/?f=%5Cvec%20F%20%3D%20%284%2C%2016%5Ccdot%20t%29%5C%2C%5BN%5D)
![\vec F = (4, 32)\,[N]](https://tex.z-dn.net/?f=%5Cvec%20F%20%3D%20%284%2C%2032%29%5C%2C%5BN%5D)
The force acting on the object at
is
.