
Common Questions Asked in Post UTME Physics Exams Day2
Physics
Chima Sunday (Tutor)
31052016 11:54:00 +0000Try your best to solve these questions. Show working on paper and include a picture of your hand written Solution in your response. Happy Solving!
1. A body of mass 20kg, moving with uniform acceleration has an initial momentum of 200kgm/s after 10s, the momentum is 300kgm/s. What is the acceleration of the body?
A. 0.5ms^{2}
B. 1.0ms^{2}
C. 2.5ms^{2}
D. 2.0ms^{2}
(Unilag Post UTME)Updated Solution
recall that F = m(v  u)/t
F = ma
thus mat = m(v  u) = mv  mu
where mv = final momentum and mu = initial momentum
therefor mat = 300  200 = 100
by subject formular a = 100/mt = 100/20 * 1/10 = 0.5ms^{2}
Answer is Option A2. Two bodies P and Q are projected on the same horizontal plane, with the same initial speed but a different angles of 30^{o} and 60^{o} respectively to the horizontal, neglecting air resistance, what is the ratio of the range of P to that of Q?
Cheers!
A. 1:1
B. 1:√3
C. √3:1
D. 1:2
(O.A.U Post UTME)Updated Solution
R_{P} = u^{2}sin2θ_{1}/g
R_{Q} = u^{2}sin2θ_{2}/g
so R_{P}/R_{Q} = u^{2}sin2θ_{1}/g ÷ u^{2}sin2θ_{2}/g
thus R_{P}/R_{Q} = sin2θ_{1}/sin2θ_{2}
but θ_{2} = 60 and θ_{1} = 30
so that R_{P}/R_{Q} =sin60/sin120 = 1/1 = 1:1
Answer is Option A

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