ZIMSEC A Level Mechanics Paper 4 November 2008

Question 1101

[1 marks]mechanics - friction

A ring of mass 0.35 kg is threaded on a horizontal wire and moves at a uniform speed under a horizontal force of 2.4 N applied parallel to the wire. Taking

g=10\text{ ms}^{-2}

, what is the coefficient of friction between the ring and the wire?

A0.34
B0.69
C1.46
D6.86

Question 1201

[1 marks]mechanics - Newton's second law on inclined plane

A bus travelling at 72 km/h begins to ascend a hill of inclination

\arcsin(1/200)

. The tractive force is maintained at

Mg/100

and the resistance is

Mg/10

. Taking

g=10\text{ ms}^{-2}

, what distance does the bus travel up the hill before coming to rest?

A211 m
B174 m
C191 m
D2728 m

Question 1301

[1 marks]mechanics - projectile motion

A particle is projected with speed

U

at an angle of elevation

\theta

and moves freely under gravity. Which expression correctly gives the range on the horizontal plane through the point of projection?

A $\dfrac{U^2\sin2\theta}{2g}$
B $\dfrac{U\sin2\theta}{g}$
C $\dfrac{U^2\sin\theta}{g}$
D $\dfrac{U^2\sin2\theta}{g}$

Question 1302

[1 marks]mechanics - projectile motion

Point O is 10 m in front of a vertical wall. A particle is projected from O with speed

U

^{-1}

at 30° above the horizontal, in the vertical plane perpendicular to the wall. What is the time taken for the particle to reach the wall, in terms of

U

A $10/U$ s
B $20/U$ s
C $11.5/U$ s
D $23.1/U$ s

Question 1303

[1 marks]mechanics - projectile motion

Point O is 10 m in front of a vertical wall. A particle is projected from O with speed

U

^{-1}

at 30° above the horizontal, in the vertical plane perpendicular to the wall, and hits the wall while still moving upwards. Using

g=9.81\text{ ms}^{-2}

, find the minimum value of

U

, correct to 3 significant figures.

Answer this when you sit the paper.

Question 1401

[1 marks]mechanics - kinematics

A bus passes P at 15 m/s and maintains this speed for

t

seconds, covering 900 m. It then decelerates uniformly at 0.5 ms

^{-2}

over

x

metres until its speed drops to 10 m/s. What are the values of

t

and

x

A $t=60$ s, $x=62.5$ m
B $t=60$ s, $x=125$ m
C $t=90$ s, $x=125$ m
D $t=60$ s, $x=250$ m

Question 1402

[1 marks]mechanics - kinematics

After the deceleration phase, the bus (now at 10 m/s) accelerates uniformly at 0.75 ms

^{-2}

for 20 seconds, reaching speed

V

. What is

V

A25 m/s
B24 m/s
C15 m/s
D30 m/s

Question 1403

[1 marks]mechanics - kinematics

The bus travels: 900 m at 15 m/s, then 125 m while decelerating from 15 to 10 m/s, then accelerates from 10 to 25 m/s over 20 s, then maintains 25 m/s for 45 s to reach Q. What is the total distance from P to Q?

A2500 m
B1375 m
C2400 m
D2150 m

Mechanics Paper 4 November 2008

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The questions

Question 1101

Question 1201

Question 1301

Question 1302

Question 1303

Question 1401

Question 1402

Question 1403

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