A particle of mass 5 kg is acted upon by a horizontal force of magnitude 16 N for 8 seconds, in which time it moves from rest until it is traveling with a speed v m/s. The particle continues to move with this speed for the next 15 seconds. it is brought to rest by the application of a constant resisting force of magnitude Y newtons. The total distance travelled is 1000 m.
2.Find v.
3. what is the total distance travelled while accelerating and traveling at a constant speed?
4. what is the rate at which the speed if the particle decreases before it comes to rest?
5.Find Y.
Start out with F = ma
16 = 5a
a = 3.2
After 8 seconds, v = 3.2x8
When the mass slows down at the end, the force Y is such that
3.2x8 = at
a = 3.2x8/t
Y = 5a
The motion of the mass is thus
s = 1/2 x 3.2 x 82 + 3.2x8x15 - 3.2x8t/2 = 1000
Find t, the rest fall out.