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COMPLETION EXAM IN CALCULUS BASED PHYSICS

Total questions: 50

Worksheet time: 39mins

Name
Class
Date
1.

A boat of mass 810 kg displaces 180 m3 of water when it is lowered into seawater. Calculate the upthrust acting on the hull of the boat and determine whether it will sink or float. Take density of seawater as 1030 kg/m3.

a)

1,818,774 N

b)

1,585,675N

c)

Sink

d)

Float

2.

A boat of mass 210 kg displaces 80 m3 of water when it is lowered into seawater. Calculate the upthrust acting on the hull of the boat and determine whether it will sink or float. Take density of seawater as 1030 kg/m3.

a)

982,544 N

b)

808,344 N

c)

Sink

d)

Float

3.

A cube of brass with dimensions of 500 x 500 x 500 mm and mass of 1,100 kg is lowered into a tank. Determine the upthrust and whether the cube will sink or float if the tank is filled with Crude Oil (Texas).

a)

1.82 kN

b)

1.07 kN

c)

Sink

d)

Float

4.

A cube of brass with dimensions of 500 x 500 x 500 mm and mass of 1,100 kg is lowered into a tank. Determine the upthrust and whether the cube will sink or float if the tank is filled with pure water.

a)

1086.8 N

b)

1226.6 N

c)

Sink

d)

Float

5.

A cube with sides of 80 mm is hung on a weighing scale and weighs 74 N. The cube is lowered into a bucket of pure water until it is fully immersed. What value of weight will the weighing scale show now?

a)

64.72 N

b)

72.33 N

c)

68.98 N

d)

73.20 N

6.

A spherical buoy of diameter 0.5 m and mass 60 kg is attached to the seabed by a mooring rope and floats fully submerged. Calculate the tension in the mooring rope. Take density of seawater as 1020 kg/m3. (Use 2 d.p. throughout calculations)

a)

38.2 N

b)

46.4 N

c)

54.5 N

d)

61.8 N

7.

A dam stand 50 m high across a valley. The pressure at the base of the dam wall is? 

a)

490500Pa

b)

490.5Pa

c)

50000Pa

d)

500000Pa

8.

A tank contains petrol with relative density 0.7 to a depth of 3m. The pressure at the base of the tank is?

a)

20601Pa

b)

20.6Pa

c)

2100Pa

d)

21000Pa

9.
Where would you find the largest pressure?
a)
At the bottom of the ocean
b)
At the top of Mt Everest
c)
Close to ground on the Scotch oval
d)
In a rockpool on the Great Barrier Reef
10.

A liquid has a density of 800  kgm3 800\ \ \frac{kg}{m^3}\ and is in a container with a height of 0.5m. What is the pressure at the bottom of the container if the gravitational field strength is 9.8N/kg?

a)

3920 Pa

b)

39200 Pa

c)

7840 Pa

d)

78400 Pa

11.

A gas has a density of 1.2 kgm31.2\ \frac{kg}{m^3} and is in a container with a height of 2.5m. What is the pressure at the bottom of the container if the gravitational field strength is 9.8N/kg?

a)

29.4 Pa

b)

294 Pa

c)

2940 Pa

d)

29400 Pa

12.

A liquid has a pressure of 8000 Pa and is in a container with a height of 2m. What is the density of the liquid if the gravitational field strength is 9.8N/kg?

a)

A. 408.2 kg m3\frac{kg}{\ m^3}

b)

B. 816.3 kgm3\frac{kg}{m^3}

c)

C. 1224.5 kgm3 \frac{kg}{m^3\ }

d)

D. 1632.7 kgm3 \frac{kg}{m^3\ }

13.

A gas has a density of 1.2 kg/m3 and a pressure of 5000 Pa. What is the height of the gas if the gravitational field strength is 9.8 N/kg?

a)

450m

b)

425m

c)

42.5m

d)

58800 m

14.

A liquid flow through a system of two connected tubes at a rate of 4 liters per minute. It gets out from the end of the second tube at a speed of 7 meters per second. Find the cross-sectional area of the second tube.

a)

OPTION A 9.52×10−6 m29.52×10^{-6}\ m^2

b)

OPTION B 9.52×10−3 m29.52×10^{-3}\ m^2

c)

OPTION C 5.71×10−4 m25.71×10^{-4}\ m^2

d)

OPTION D 5.71×10−5 m25.71×10^{-5}\ m^2

15.

Some liquid flows inside a pipe with a cross-sectional area of 0.02 m2. The liquid flows at 13 kg/s and has a density of 1‎ ‎200 kg/m3.Calculate the flow speed through the pipe in meters per second.

a)

0.54 m/s

b)

0.26 m/s

c)

3.85 m/s

d)

1.85 m/s

16.

A thin plate of mass 2.5 g is pushed by a constant force 𝐹=0.50mN, moving at a constant 1.32 cm/s over the surface of a viscous liquid that is 2.5 mm deep, as shown in the diagram. The speeds of the layers of the liquid between the plate and the lowest layer of the liquid are shown in the diagram. The liquid in contact with the top and bottom plates move at the same speed as the plates move. What is the dynamic viscosity of the liquid?

a)

5.5×10−4 Pa⋅s5.5×10^{-4}\ Pa⋅s OPTION A

b)

9.4×10−4 Pa⋅s9.4×10^{-4}\ Pa⋅s OPTION B

c)

8.5×10−4 Pa⋅s8.5×10^{-4}\ Pa⋅s OPTION C

d)

3.0×10−4 Pa⋅s3.0×10^{-4}\ Pa⋅s OPTION D

17.
When the weight of an object is greater than the buoyant force, the object will ... 
a)
Sink
b)
Float 
c)
Expand
d)
Shrink
18.

What is turbulence?

a)

a. Irregular motion of the air resulting in throwing an airplane out of control or to cause structural damage

b)

b. Regular motion of the air resulting in throwing an airplane out of control or to cause structural damage

c)

c. Unplanned drop in the pressure of an aircraft

d)

d. Planned drop in the pressure of an aircraft

19.

Using the particle model of matter, viscosity is described as

answer choices

a)

a. the larger the molecules, the higher the viscosity

b)

b. the greater the distance between the particles, the greater the viscosity

c)

c. the greater the friction between particles, the greater the viscosity

d)

d. the faster the particles are moving, the greater the viscosity

20.

What is Viscosity?

a)

A fluids colour.

b)

A fluids temperature.

c)

A fluids resistance to flow.

21.

The unit of Viscosity in SI system is Ns/m2

a)

True

b)

False

22.

Which type of fluid flow is smooth, and predictable?

a)

Turbulent

b)

Viscous

c)

Laminar

d)

Inertial

23.

What are the reasons causing pressure drop in hydraulic systems?

1. long length of pipe

2. friction

3. type of fluid

4. losses in valves and bends

a)

1 and 4

b)

only 1

c)

2 and 3

d)

all the above

24.

Specific Gravity compares the density of a substance to ......

a)

density

b)

gravity

c)

water

d)

oil

25.

Find the specific gravity of copper. The density of copper is 8.9 g/cm3.

a)

8.9 g/cm3

b)

8.9

c)

4.3 g/cm3

d)

4.3

26.
Calculate the KE of a runner that has a mass of 80 kg and is running at a velocity of 8 m/s
a)
5120 J
b)
320 J
c)
640 J
d)
2560 J
27.
____________ is the ability to cause change. 
a)
Energy 
b)
Force 
c)
Friction
d)
Motion
28.
Gravitational potential energy depends on the ________ and ________ of the object. 
a)
Height and mass
b)
Friction and movement
c)
Mass and Movement
d)
Height and Friction 
29.
At which point is potential energy greatest?
a)
W
b)
X
c)
Y
d)
Z
30.
if you push a cart with a force of 60 N resulting in 120 J of work.. how far did you move the cart? 
a)
7200 m
b)
0 m
c)
2 N 
d)
2 m
31.
Which situation is work not done?
a)
lifting a 20 pound box off the floor
b)
holding a 20 pound box above the floor
c)
sliding a 20 pound box across the floor
d)
sliding a 20 pound box up an inclined plane
32.
The faster an object moves, the ________ kinetic energy it has. 
a)
more
b)
less
c)
none of the above
d)
all of the above 
33.

Two workers use 100 N of force to move a sofa 2 meters in 2 seconds. How much power is required?

a)

100 watts

b)

400 watts

c)

104 watts

d)

50 watts

34.

A worker climbs a ladder and does 8 J of work on a 2 N object. What is the distance they lift the object?

a)

18 m

b)

4 m

c)

10 m

d)

6 m

35.

If you do 200 J of work in 10 seconds, your power output is...

a)

2000 W

b)

200 W

c)

20 W

d)

2 W

36.

How much power is required to raise a 30 kg crate a vertical distance of 6 m in a time of 4 seconds?

a)

120 W

b)

52.5 W

c)

450 W

d)

385 W

e)

525 W

37.

Which type of energy is heat energy?

a)

Potential

b)

Kinetic

c)

Thermal

d)

Sound

38.

Which type of energy is in food and fuel?

a)

Potential

b)

Thermal

c)

Nuclear

d)

Chemical

39.

Which type of energy is due to the movement of electrons in a circuit?

a)

Potential

b)

Electrical

c)

Thermal

d)

Sound

40.

A student with a mass of 62.0 kg walks up a flight of stairs with a height of 3.40 meters. If it takes him 7.00 seconds to get to the top, how much power did he generate?

a)

295 W

b)

2070 W

c)

86.8 W

d)

295.12 W

41.
Calculate the potential energy of a roller coaster at the top of a 72 m hill that has a mass of 112 kg.
a)
79,027 J
b)
790,720 J
c)
7,020 J
d)
790,700 J
42.
A girl on a motorbike passes by at a speed of 15 m/s. Her mass is 40 kg. What is her kinetic energy? 
a)
300 Joules
b)
600 Joules
c)
950 Joules
d)
4500 Joules
43.

What is the relationship between work and energy?

a)

not related

b)

directly proportional

c)

inversely proportional

44.

When is work done on an object?

a)

when the force is zero

b)

when the displacement is zero

c)

when the displacement is not zero

d)

when force and displacement are perpendicular

45.

This weight lifter required 1029.7 newtons of force to bring the weights to a height of approximately 2.31 m in 9 seconds. How much power did he have?

a)

264 Watts

b)

1029 Watts

c)

2,377 Watts

d)

4,009 Watts

46.

If a 725.7 N racer took 798 s to climb the 320 m, how power did she have?

a)

291 Watts

b)

281 Watts

c)

317 Watts

d)

313 Watts

47.

A rollercoaster cart has a mass of 4,500 kg and is about to drop from it's greatest height of 255. If the potential energy at this height is 3,427,628.4 Joules, what is the predicted highest velocity of the rollercoaster?

a)

39 m/s

b)

1,523 m/s

c)

45 m/s

d)

33 m/s

48.

What is the Total Energy at the bottom?

a)

50 J

b)

25 J

c)

0 J

d)

100 J

49.

The Law of Conservation of Energy states:

a)

Energy can created or destroyed but not transformed

b)

Energy cannot be created or destroyed, it can only transformed

c)

Energy can't be created, destroyed or transformed

d)

Energy cannot be created or destroyed.

50.

What force causes a roller coaster cart to slow down the most?

a)

friction

b)

weight

c)

gravity

d)

air resistance

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