Class 7 Science Motion and Time Chapter Notes

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Study Material for Class 7 Science Chapter 13 Motion and Time

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Class 7 Science Chapter 13 Motion and Time

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Motion and Time

3.1 Introduction

In our daily life, we see various objects in motion. The walking man, the running cars, the water flowing in lakes, flying aeroplanes etc. are all examples of objects in motion.

3.2 Rest and Motion

Rest: A body is said to be in rest if it does not change its position with respect to time with respect to another body. Example-A book lying on a table.

Motion: A body is said to be in motion if it changes its position with respect to time with respect to another body. Example-A train moving on rails, a man walking on road.

3.3 Physical quantities

Physical quantity : The quantity which can be measured is called physical quantity. In Physics, we study about physical quantity.
Types of physical quantity
i) Fundamental physical quantity
ii) Derived physical quantity

Fundamental physical quantity : The physical quantities which are independent of other physical quantities are called fundamental physical quantities. Example : Lenth, Mass, Time etc.

Derived physical quantity: The physical quantities which depend on fundamental physical quantities are called derived physical quantities. Example : Speed, Energy etc. All physical quantities can be categorised into scalars and vectors.

Scalars: The quantities which have magnitude only are called scalars. Example : Distance, Speed, Energy etc.

Vectors: The quantities which have magnitude as well as directions both are called vectors. Examples : Displacement, Velocity, Force etc. A vector is represented by putting an arrow over symbol of the phycal quantity like velocity is represented as v r , force is represented as Fr, etc

3.4 Speed
We know that some vehicles move faster than others. The distance moved by objects in a given interval of time can help us to decide which one is faster or slower.
Speed can be defined as the distance covered by an object in a unit time. Thus Speed = Total distance covered/ Total time taken
The S.I. unit of speed is m/s and it is a scalar quantity.

3.5 Velocity
The velocity of an object is the ratio of total displacement to the total time taken. Thus
Velocity =Total displacement/Total time taken
The S.I. unit of velocity is similar to that of speed as m/s but velocity is a vector quantity, because it also determines the direction of motion.

3.5 Acceleration
The acceleration of a moving object is defined as the rate of change in its velocity with time. Thus

class_7_science_useful_036

The S.I. unit of acceleration is m/s2 and it is a vector quantity

3.6 Types of motion :

(a) Uniform Motion : If an object is moving along a straighty line with constant speed/velocity, it is said to be in uniform motion.
for Uniform motion : Velocity = constant

class_7_science_useful_037

So, for uniform motion acceleration is 0.

Equation of motion for uniform motion :
Distance/Displacement = speed × time = velocity × time
Note: 
For uniform motion along a straight line, speed and velocity are same. Similary, distance
and displacement are also same for the above mentioned case.

(b) Non-uniform motion : If the velocity of an object keeps on changing with time, the motion is said to be non-uniform. Since, the velocity of the object is not constant, therefore, it possesses acceleration. So, depending on the acceleration, motion can be further of two types:

(i) Uniformly accelerated motion : Where the acceleration of the body remains constant.

(ii) Non-uniformly accelerated miotion : Where the acceleration of the body keeps on changing with time.

Equations of motion for uniformly accelerated body :
(a) Horizontal motion
 

class_7_science_useful_038

where, v = final velocity
u = initial velocity
a = constant acceleration
s = displacement
t = time
 
(b) Vertical motion :
(i) v = u + gt 
(ii) s ut 1/2 gt2
(iii) v2 = u2 + 2gh
(iv) sn = u+g/2(2n 1) , where g = acceleration due to gravity = 9.8 m/s2 or 10 m/s2.
Class 7 Science Motion and Time Chapter Notes
Mark the horizontal line as XOX’. It is known as the x-axis. Similarly mark the vertical line YOY’. It is called the y-axis. The point of intersection of XOX’ and YOY’ is known as the origin O.
You can make the graph by following steps given below: Draw two perpendicular lines to represent the two axes and mark them as OX and OY as in given figure. Decide the quantity to be shown along the x-axis and that to be shown along the y-axis. In this case we show the time along the x-axis and the distance along the y-axis. Choose a scale to represent the distance and another to represent the time on the graph. For the motion of the car
scales could be
Time : 1 min = 1 cm. Distance: 1 km = 1 cm. Mark values for the time and the distance on the respective axes according to the scale you have chosen. Now you have to mark the points on the graph paper to represent each set of values for distance and time. The corresponding figure shows the set of points on the graph corresponding to positions of the car at various times.
 
Joint all the points on the graph. This is the distnace time graph for the motion of the car. If the distance-time graph is a straight line, it indicates that the object is moving with a constant speed. However, if the speed of the object keeps changing, the graph can be of any shape.
Class 7 Science Motion and Time Chapter Notes
Objective Questions
1. The distance between two stations is 240 km. A train takes 6 hours to cover this distance. The speed of the train is
(a) 60 km/hr (b) 40 km/hr
(c) 30 km/hr (d) 24 km/hr
 
2. The S.I. unit of acceleration is
(a) m/s (b) ms
(c) m/s2 (d) m2s
 
3. A car moves with a speed of 30 km/hr for 20 minutes. The total distance covered by the car is
(a) 25 km (b) 10 km
(c) 30 km (d) 50 km
 
4. A car travels between two points A and B such that it takes 20 minutes from A to B and 10 minutes from B to A. If displacement between A to B is 20m then average velocity in the whole journey is
(a) 10 m/s (b) 20 m/s
(c) 15 m/s (d) zero
 
5. A car changes its velocity from 10 m/s to 15 m/s in 5 sec. The acceleration of the car is
(a) 1 m/s2 (b) 2 m/s2
(c) 3 m/s2 (d) 5 m/s2
 
6. Which of the following is a vector quantity ?
(a) Distance (b) Speed
(c) velocity (d) Mass
 
7. A car starts from rest and acquires velocity 10 m/s in 5 sec. The acceleration of the car is
(a) 10 m/s2 (b) 2 m/s2
(c) 20 m/s2 (d) 1 m/s2
 
8. A car is moving with velocity 20 m/s. What will be its final velocity after 5 sec if it has acceleration 2 m/s2 ?
(a) 15 m/s (b) 20 m/s
(c) 25 m/s (d) 30 m/s
 
9. A simple pendulum takes 5 seconds to complete 20 oscillations. The time period of the pendulum is
(a) 2 sec (b) 3 sec
(c) 4 sec (d) 5 sec
 
Subjective Questions

1. Define rest and motion. Give two examples of each.
 
2. Define scalars and vectors. Give two examples of each.
 
3. A car starts from rest and acquires a velocity 20 m/s in 5 sec. Find the distance travelled by it during this time interval.
 
4. Define acceleration. Write its unit.
 
5. Priya takes 20 minutes from her house to reach her school on a bicycle. If bicycle has speed 2 m/s, calculate distance between her house and school.
 
6. The odometer of a car reads 57321.0 km when the clock shows the time 08:30 AM. What is the distance moved by the car, if at 08:50 AM, the odometer reading has changed to 57336.0 km? Calculate the speed of the car in km/min during this time. Express the speed in km/h also.
 
7. Draw a distance time graph from the following data
Distance in (km) 0 10 20 30
Time (in minutes 10 : 00 10 : 15 10 : 30 10 : 45
 
8. Consider two cars moving with velocity 10 m/s and 20 m/s respectively. Consider two situations
i) When both cars are moving in same direction and ii) When both cars are moving in opposite direction.
 
9. A 200m train running with a speed of 50 m/s crosses a station, 300m long. Find the time taken by the train to cross the station.
10. A donkey is standing at a distance of 18 steps from a well. He moves towards the well in a manner that for every 5 steps taken in forward direction, he automatically moves back 3 steps. Now if his 1 step takes place in 1 sec, find the time after which he will fall into the well.
 
11. A 100 m train in running at a speed of 15 m/s while another train which is 150 m is running at a spped of 10 m/s. Find the time takne by the train A to cross train B if
(i) Both are moving in the same direction and engine of A is in alignment with the end of train B.
(ii) Both the trains are moving in opposite direction and engines of the train are in alignment with each other.
 
12. Two bus stands A and B are located at a distance of 200 km. There is 24 hour bus from each bus stand, at an interval of 10 minute. Now, if a bus starts from 8.00 A.M. from bus stand B, then find the total number of buses it will meet before reaching A, if each bus takes 2 hour to cover the distance of 200 km.

 

 

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