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jok3333 [9.3K]
3 years ago
6

The velocity of an object with mass = 2kg is given as a function of time:

Physics
1 answer:
Musya8 [376]3 years ago
8 0

Answer:

The force acting on the object at t = 2\,s is \vec F = (4, 32)\,[N].

Explanation:

Given that object has a constant mass in time, the force acting on the object (\vec F), in newtons, is defined by following expression:

\vec F = m\cdot \vec a (1)

Where:

m - Mass, in kilograms.

\vec a - Acceleration, in meters per square second.

By definition of acceleration, we know that:

\vec a = \frac{d}{dt} \vec v (2)

Let suppose that given vector velocity is expressed in meters per second. If we know that m = 2\,kg, \vec v = (2\cdot t, 4\cdot t^{2})\,\left[\frac{m}{s} \right] and t = 2\,s, then the force acting on the object is:

\vec a = (2, 8\cdot t)\,\left[\frac{m}{s^{2}} \right]

\vec F = (4, 16\cdot t)\,[N]

\vec F = (4, 32)\,[N]

The force acting on the object at t = 2\,s is \vec F = (4, 32)\,[N].

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