A time dependent force, F = (8.00i – 4.00t j)N
(where t is in seconds), is applied to a 2.00 kg object
initially at rest.
(a) At what time will the object be moving with a
speed of 15.0 m/s?
(b) How far is the object from its initial position when
its speed is 15.0 m/s?
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Given that,
Force
Mass = 2.00 kg
Speed = 15.0 m/s
(a). We need to calculate the time
Using formula of force
Put the value into the formula
On integration
Put the value of v
The magnitude of velocity
(b). We need to calculate the distance the object from its initial position
Using formula of distance
On integration
Put the value into the formula
Hence, (a). The time is 9 sec.
(b). The distance the object from its initial position is 164.23 m.
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