Chapter 1 Bookwork II

True/False
Indicate whether the statement is true or false.

____	1.	The SI system uses three base units.

____	2.	The number of significant digits in the mass of a body measuring 4200.0 kg is 2.

____	3.	

The acceleration of the above graph is 1.25 m/s2.

Multiple Choice
Identify the choice that best completes the statement or answers the question.

____	4.	1 micrometer (1 µm) equals:
a.	10–3 m	c.	103 m	
b.	10–6 m	d.	106 m	

____	5.	What is the volume of a cube whose side is 10 cm?
a.	10–3 m3	c.	102 m3	
b.	10 m3	d.	103 m3	

____	6.	What is the number of significant digits in the measurement 34.000 m?
a.	2	c.	4	
b.	3	d.	5	

____	7.	According to Boyles’ law, PV = constant. If a graph is plotted with the pressure P against the volume V, the graph would be a(n):
a.	straight line	c.	hyperbola	
b.	parabola	d.	ellipse	

____	8.	The time period T of a simple pendulum is given by the relation , where L is the length of the pendulum and g is the acceleration due to gravity at the place. From the above relation, we can say that:
a.	T µ g	c.	T2 µ g	
b.	T µ L	d.	T2 µ L	

____	9.	The slope of the graph given below is:

a.		b.		c.		d.		

Completion
Complete each statement.

	10.	The method of treating the units as algebraic quantities that can be canceled is called ____________________ analysis.

	11.	The valid digits in a measurement are called ____________________.

	12.	When the graph of best fit is a straight line, the dependent and independent variables have a(n) ____________________ relationship.

	13.	On a graph, the ____________________ is the ratio of the vertical change to the horizontal change.

	14.	The acceleration of the body in the graph given below is ____________________.

Short Answer

	15.	The speed of a body is the distance traveled per unit time.
a.	What is the SI unit of speed?
b.	Is the unit of speed a basic unit or a derived unit?

	16.	What is the difference between 5.0 and 5.00?

	17.	The mass of a body measured by two persons is 10.2 kg and 10.23 kg. Which is more precise and why?

	18.	What can you say about the motion of a body if:
a.	Its displacement-time graph is a straight line inclined with the time axis.
b.	Its velocity-time graph is a straight line inclined with the time axis.
c.	Its velocity-time graph is a parabola.

	19.	What conclusions can be drawn if a velocity-time graph is parallel to the time axis?

	20.	What conclusions can be drawn if a velocity-time graph is a curve?

	21.	The force acting on an object moving with constant acceleration is given by F = ma, where m is the mass of the object measured in kg, a is the acceleration in m/s2, and F is the force acting on the object, measured in newtons. What is 1 N described in base units?

	22.	The volume of a cuboid is the product of its length, breadth, and height. Give a possible metric unit for the volume. Is the unit for volume a basic unit or a derived unit?

	23.	What conversion factor is used to convert 10 hours to seconds?

	24.	Two objects have masses m1 and m2 and their centers are separated by a distance d. The force of gravitation between these objects is given by the expression .
Here G is the gravitational constant. Find the units of measurement of G.

	25.	Write the number 13900 using scientific notation. What is the number of significant digits in this number?

	26.	What is two-point calibration?

	27.	The position-time graphs of two runners, Ian and Nick, are shown below. How can the faster runner be determined using these graphs?

	28.	What is the type of speed-time graph of an object moving with a constant speed along a straight line? Name two physical quantities whose values can be calculated using this graph.

Problem

	29.	A body has a velocity of 72 km/hr. Find its value in m/s.

	30.	The velocity of sound in air is 332 m/s. If the unit of length is km and the unit of time is hour, what is the value of velocity?

	31.	How many seconds are there in the month of February in a leap year?

Essay

	32.	Analyze the graph and answer the following questions.

a.	Name the independent and dependent variables in the graph.
b.	Name the type of relationship between the variables.
c.	Find the speed of the body.

	33.	An object has an initial velocity v and uniform acceleration a. If it covers a distance d, then its final velocity, v, is given by the expression, .
a.	Does this equation give the correct unit of measurement of vf?
b.	Is this a base unit or a derived unit?
c.	Rewrite this equation to find the distance traveled in terms of initial velocity, final velocity, and acceleration.

	34.	Consider the expression for the arithmetic operation, 0.652 km + 195 cm + 1800 cm.
a.	Is any conversion required to do this operation?
b.	Convert all the measurements to meters and then solve this expression.
c.	How many significant digits are present in the obtained answer?

	35.	Jessica is using a micrometer screw (screw gauge) to measure the diameter of a wire. While recording the measurements, she views the readings from different angles.
a.	Is there any difference in the recorded values of the same measurement reading, when viewed from different angles?
b.	Name the phenomenon that causes this difference.
c.	Does this affect the precision of a measurement made by the student?

	36.	While performing an experiment to find the value of acceleration due to gravity, g, Lee made observations for the time period of a simple pendulum. He only changed the length of the pendulum and recorded different values of time period as given in the table.

Length L of pendulum in cm	25	36	49	64	81	100	
Time for one oscillation
Time period T in s	1.005	1.205	1.405	1.610	1.810	2.01	
a.	Is there any linear relationship between the values of length and time period of the simple pendulum?
b.	The L-T graph is a straight line passing through the origin. Find the relationship between the length and time period of the pendulum.
c.	What are the units of the constant obtained as a ratio of L and T?