JAMB Physics Past Questions & Answers - Page 467

2,331.

A ball of mass 0.1kg is thrown vertically upwards with a speed of 10ms-1 from the top of a tower 10m high. Neglecting air resistance, its total energy just before hitting the ground is

(take g = 10ms-2)

A.

5 J

B.

10 J

C.

15 J

D.

20 J

Correct answer is C

Height h = 1/2 (U\(^2\)/g) = 10\(^2\)/20 = 5m

Energy before hitting ground is = P.E at the height of 5m.

P.E = mgh = 0.1 x 10 x 10= 10 J

 K.E = 1/2 MV\(^2\) = 5J

T.E = K.E + P.E = 5 + 10 = 15J

2,332.

A lead bullet of mass 0.05kg is fired with a velocity of 200ms\(^{-1}\) into a lead block of mass 0.95kg. Given that the lead block can move freely, the final kinetic energy after impact is

A.

50 J

B.

100 J

C.

150 J

D.

200 J

Correct answer is A

From principle of conservation of linear momentum,

(0.05 x 200) + (0.95 x 0) = (0.05 + 0.95) x V (since collision is inelastic).

10 + 0 = V

Thus V = 10m/s.

Recall Kinetic Energy = \(\frac{1}{2} mv^2\)

\(\therefore\) K.E = 1/2 (0.05 + 0.95) x 10\(^2\)

K.E = 1/2 (1 x 100) = 50 J.

2,333.

Particles of mass 10\(^{-2}\)kg is fixed to the tip of a fan blade which rotates with angular velocity of 100rad-1. If the radius of the blade is 0.2m, the centripetal force is

A.

2 N

B.

20 N

C.

200 N

D.

400 N

Correct answer is B

Centripetal Force (F\(_c\)) = \(\frac{mv ^2}{r}\)

= \(mω^2r\)

(Since V = ωr)

F = 100 x 0.2

F =20 N

2,334.

Two bodies have masses in the ratio 3:1. They experience forces which impart to them acceleration in the ratio 2:9 respectively. Find the ratio of forces the masses experienced.

A.

1 : 4

B.

2 : 1

C.

2 : 3

D.

2 : 5

Correct answer is C

Let the forces be F1, and F2.

F1 = m1 a1 = 3 x 2 = 6N

F2 = m2 a2 = 1 x 9 = 9N

F1 : F2 = 6:9 = 2:3

Thus ratio of forces is 2: 3

2,335.

The inner diameter of a test tube can be measured accurately using a?

A.

micrometer screw guage

B.

pair of dividers

C.

metre rule

D.

pair of vernier calipers

Correct answer is D

A Vernier caliper is an instrument used to measure both the outer and inner diameters of a tube.