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Sink41
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Question copied word for word
1. A particle of mass m moves in a straight line under the action of force F where F = ms, s being the displacement of the particle from O, a fixed point on the line.
When s = -a the velocity of the particle is u. Find the velocity of the particle when s = 0.
2. F = ma or F= -ma (i think...)
a = v(dv/ds)
3. If ms = -ma, then s is always equal to -a, so the velocity would always be u, which doesn't look right... Or if I intergate:
s = -a
s = -v(dv/ds)
s^2 = -(v^2) + c
replace s with a and v with u.
a^2 + u^2 = c
s^2 + v^2 = a^2 + u^2
when s = 0, a = 0
v = u
Where have i gone wrong?
1. A particle of mass m moves in a straight line under the action of force F where F = ms, s being the displacement of the particle from O, a fixed point on the line.
When s = -a the velocity of the particle is u. Find the velocity of the particle when s = 0.
2. F = ma or F= -ma (i think...)
a = v(dv/ds)
3. If ms = -ma, then s is always equal to -a, so the velocity would always be u, which doesn't look right... Or if I intergate:
s = -a
s = -v(dv/ds)
s^2 = -(v^2) + c
replace s with a and v with u.
a^2 + u^2 = c
s^2 + v^2 = a^2 + u^2
when s = 0, a = 0
v = u
Where have i gone wrong?