Free Printable Unit One End of Term

1.

The vector $\overrightarrow{AC}$ is equal to

a)

a + c

b)

a + b

c)

a + b + c

d)

none of the above

2.

A pendulum is held at its highest point and then released. A suitable graph to show one cycle of this motion is

a)

b)

c)

d)

3.

The rubber ball of weight, W, is suspended from a support and is being displaced laterally at an angle,

\theta\degree

, from the vertical by a wind of constant force, H. The ball is in equilibrium and the tension in the string is T. Which of the following equations is correct?

a)

$T\ =\ W$

b)

$T\ =\ H$

c)

$T\ =\ \frac{W}{\cos\ \theta}$

d)

$T\ =\ \frac{W}{\sin\ \theta}$

4.

The following diagram shows a plank in equilibrium when acted on by the forces P, T and W. From the diagram, which of the following statements would be true ? [HINT: remember you can choose different pivots to solve any moments question]

I. $T\ +P\ =\ W$

II.

P\ \left(x+y\right)\ =\ Wy

III.

Px\ =\ Ty

a)

I only

b)

I and II only

c)

II and III only

d)

I, II and III

5.

A ball is thrown vertically upwards and then caught at the same level from which it was thrown. Which of the following graphs would BEST represent the variation of the ball's acceleration with time?

a)

b)

c)

d)

6.

A car with mass, m, moves around a circular road of radius, r, at a constant speed, v. Which of the following statements is FALSE?

a)

The car can be said to be accelerating

b)

The velocity of the car is constant

c)

The velocity of the car changes

d)

There is a resultant force acting on the car

7.

A light thread suspends a small ball of weight W. A constant force F is exerted on the ball when a strong wind blows horizontally. The thread makes an angle $\theta$ to the vertical. Choose and expression which defines $\theta$ correctly

a)

$\sin\theta\ =\frac{F}{W}$

b)

$\tan\theta\ =\ \frac{F}{W}$

c)

$\cos\theta\ =\ \frac{W}{F}$

d)

$\tan\theta\ =\ \frac{W}{F}$

8.

The vector diagram shows two vectors Y and Z acting at a point X. The vector F represents the resultant force. Which one of the figures represents the CORRECT vector F?

a)

b)

c)

d)

9.

The figure shows a force of magnitude F and two of its components V and H which are mutually perpendicular. Which one of the following is correct?

a)

$F\ =\ \sqrt{V}\ +\ \sqrt{H}$

b)

$F\ =\ \sqrt{V^2\ +\ H^2}$

c)

$H\ =\ F\ \sin\ \theta$

d)

$V\ =\ F\ \cos\ \theta$

10.

A force F which makes an angle $\alpha$ with a smooth inclined plane acts on an object of mass m on a plane as shwon in the figure. The magnitude of the resultant force on the object is

a)

$F\ -\ mg\ \cos\ \alpha$

b)

$F\ \cos\ \alpha\ +\ mg\ \sin\ \theta$

c)

$F\ \cos\ \alpha\ -\ mg\ \sin\ \theta$

d)

$F\ \cos\ \alpha\ -\ mg\ \cos\ \theta$

11.

A uniform metre rule of weight 2N is pivoted at the 70 cm mark as shown in the diagram. When the rule is balanced, what is the value of the force F.

a)

1.33 N

b)

0.75 N

c)

4.67 N

d)

0.214 N

12.

A uniform rod loaded as shwon in the diagram is pivoted at the point A so that it is in equilibrium. What is the weight of the rod?

a)

100 N

b)

700 N

c)

500 N

d)

300N

13.

A car is decelerating uniformly. Its velocity changes from 30 ms^-1 to 15 ms^-1 in 75 m. How much further will it travel before it comes to rest?

a)

25 m

b)

37.5 m

c)

50 m

d)

75 m

14.

At time t = 0, a body starts from rest and moves with constant acceleration. Which graph below best represents how the displacement of a body s, varies with time.

a)

b)

c)

d)

15.

A tennis ball when released, falls vertically to the floor and bounces back again. the velocity UPWARDS is taken as POSITIVE. Which one of the graphs below best represents the variation v with time t?

a)

b)

c)

d)

16.

Two parallel forces of equal magnitude act on a rigid body as shown in the diagram. The size of the torque on the body by these forces is

a)

Fd

b)

Fx

c)

2Fd

d)

2Fx

17.

Testing reading graph skills: In the relationship C = PQ, C is a constant. Which graph represents the relationship between Q and P?

a)

b)

c)

d)

18.

Which of the quantities below are dimensionless?

I. Relative Density

II. Force

III. Length

IV. Refractive Index

a)

I and II only

b)

II and III only

c)

I and IV only

d)

II and IV only

19.

Mary is on her way to New York and wants to ensure that her suitcase does NOT exceed the 50kg limit. She stands on the scale and her mass is $55\ kg\ \pm1\ kg$ . She next lifts her suitcase and the mass changes to $104\ kg\ \pm1\ kg$ . What is the mass of her suitcase?

a)

$49\ kg\ \pm1\ kg$

b)

$49\ kg\ \pm2\ kg$

c)

$50\ kg\ \pm1\ kg$

d)

$51\ kg\pm2\ kg$

20.

Which of the following is not an SI base unit?

a)

g

b)

K

c)

m

d)

s

Unit One End of Term

Total questions: 20

Worksheet time: 36mins

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