JAMB Physics Past Questions & Answers - Page 286

1,426.

A wheel and axle have radii 80cm and 10cm respectively. If the efficiency of the machine is 0.85, an applied force of 1200N to the wheel will raise a load of

A.

8.0N

B.

6.8N

C.

8160N

D.

9600N

Correct answer is C

Efficiency = m.A x \(\frac{1}{V.R}\) x 100%

85 = \(\frac{load}{1200}\) x \(\frac{10}{80}\) x \(\frac{100}{1}\)

load = 8160N

1,427.

A spring of force constant 1500Nm-1 is acted upon by a constant force of 75N. Calculate the potential energy stored in the string

A.

1.9J

B.

2.8J

C.

3.45J

D.

0.43J

Correct answer is A

P.E = \(\frac{1}{2}\)Fe

= \(\frac{1}{2}\)\(\frac{F}{K}\)

= \(\frac{1}{2}\) x \(\frac{75 \times 75}{1500}\)

= 1.9J

1,428.

A body of mass 100g moving with a velocity of 10.0ms-1 collides with a wall. If after collision, it moves with a velocity of 2.0ms-1 in the opposite direction, calculate the change in momentum.

A.

0.8Ns

B.

1.2Ns

C.

12.0Ns

D.

80.0Ns

Correct answer is B

Initial momentum = 0.1 x 10 = 1Ns

final velocity = -2ms-1

Final momentum = -2 x 0.1 = -0.2Ns

Change in momentum = -0.2 - 1 = -1.2Ns

1,429.

An object moves with uniform speed round a circle. Its acceleration has

A.

constant magnitude and constant direction

B.

constant magnitude and varying direction

C.

varying magnitude but constant direction

D.

varying magnitude and varying direction

Correct answer is B

No explanation has been provided for this answer.

1,430.

A small metal ball thrown vertically upwards from the top of a tower with an initial velocity of 20ms-1. If the ball took a total of 6s to reach ground level, determine the height of the tower [g = 10ms-2]

A.

60m

B.

80m

C.

100m

D.

120m

Correct answer is A

Time from tower to top, t = \(\frac{u - v}{g}\)

= \(\frac{20 - 0}{10}\)

= 2s

distance from tower to top

x = ut - \(\frac{1}{2}\)gt2

= (20 x 2) - (\(\frac{1}{2}\) x 10 x 2 x 2)

= 20m

Time from the top to the ground, t = 6 - 2

= 4s

distance from top to ground,

x = ut - \(\frac{1}{2}\)gt2

= (0 x 4) + (\(\frac{1}{2}\) x 10 x 4 x 4)

= 80cm

therefore, height of tower = 80 - 20

= 60m