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JAMB Physics Past Questions & Answers - Page 319

1,591.

Which of the following with respect to a body performing simple harmonic motion are in phase?

displacement and velocity of the body

displacement and force on the body

velocity and acceleration of the body

force acting on the body and the acceleration

View answer & explanation

Correct answer is C

No explanation has been provided for this answer.

1,592.

Two bodies X and Y are projected on the same horizontal plane, with the same initial speed but at angles 30 and 60 respectively to the horizontal. Neglecting air resistance, the ratio of the range of X to that of Y is

1:1

1:2

√3:1

√3

View answer & explanation

Correct answer is A

Range = $\frac{U^2sin2{\theta}}{g}$

$\frac{R_x}{R_y}$ = $\frac{U^2_xsin60}{U^2_ysin120}$

sin60^o = sin120^o

$\frac{R_x}{R_y}$ = $\frac{1}{1}$

hence, = 1:1

1,593.

An arrow of mass 0.1kg moving with a horizontal velocity of 15ms^-1 is shot into a wooden block of mass 0.4kg lying at rest on a smooth horizontal surface. Their common velocity after impact is

15.0 ms^-1

7.5 ms^-1

3.8 ms^-1

3.0 ms^-1

View answer & explanation

Correct answer is D

M₁U₁ + M₂U₂

= (m₁ + m₂)v

= $\frac{(0.1 {\times} 15) + (0.4 {\times} 0)}{(0.1 + 0.4)}$

v = 3ms^-1

1,594.

A 5kg block is released from rest on a smooth plane inclined at an angle of 30^o to the horizontal. What is the acceleration down the plane? [g = 10ms^-2]

5.0 ms^-2

5.8 ms^-2

8.7 ms^-2

25.0 ms^-2

View answer & explanation

Correct answer is A

ma = mgsin $\theta$

a = $\frac{5 {\times} 10 {\times} sin30}{t}$

a = 5ms²

1,595.

The distance xm travelled by a particle in time t seconds is described by the equation x = 10 + 12t², Find the average speed of the particle between the time interval t = 2s and t = 5s

60 ms^-1

72 ms^-1

84 ms^-1

108 ms^-1

View answer & explanation

Correct answer is B

speed = $\frac{dx}{dt}$

$\frac{dx}{dt}$ = 10 + 12t²

$\frac{dx}{dt}$ = 24t

$\frac{dx}{dt}$ =24 x 3

$\frac{dx}{dt}$ = 72 ms^-1

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