Questions and Answers and other Q & A IQ: An object has moved through a distance. Can it have zero displacement? If yes, support your answer with an example. Answer: Yes an object can have zero displacement even though it has moved through a distance. It happens when the object moves back to its original position I. E. Final position coincides with the starting position. Example: Suppose an object travels from O to C and then comes back to original position O.
Total distance traveled = actual path covered = CO + CO = 25 + 25 = mm Total displacement = shortest distance between final position and initial position = m Q: What do you mean by a body in rest? Answer: A body is said to be at rest, if it does not change its position with respect to a fixed point in its surroundings. Q: Are motion and rest absolute or relative? Explain with an example. Answer: No these terms rest and motion are relative. For example, a person inside a car, carrying a ball in his hand will see the ball is at rest.
While for another person, outside the car will see the ball is also moving. Q: What is meant by scalars and vectors? Answer: * Scalar Quantities: Quantities that require magnitudes only to specify them are called scalar quantities or scalars. Mass, length, time, temperature, angle, area, speed, distance, volume and density are examples of scalar quantities. * Vector Quantities: Quantities that require both magnitudes and direction to specify them are called vector quantities or vectors. Displacement, velocity, force, momentum, weight etc. Re the examples of vectors. Q: A farmer moves along the boundary of a square field of side 10 m in 40 s. What will be the magnitude of displacement of the farmer at the end of 2 minutes 20 seconds? As shown in figure, let us assume, the farmer starts from A. Given, length of each side = mm Distance covered in 1 lap = Perimeter of ABACA = 4 x 10 = mm Time taken by farmer to cover 1 lap = sis Speed of farmer = Distance * Time Taken for one lap = 40/sis Number of laps covered = 140 * 40 = 3. 5 laps. After sass, the farmer will be at position C (I. . 3 and h laps). Displacement = AC = (ABA + BCC)h (applying Pythagoras theorem) = 10-02 = 10 x 1. 414= 14. Mm (answer) Question: Can you find out displacement, if the farmer starts from mid-point of ABA? Note: Displacement is a vector quantity that measures the shortest distance (straight line) between the starting point and ending point, not taking the actual path traveled onto account. Q: Which of the following is true for displacement? (a) It cannot be zero. (b) Its magnitude is greater than the distance traveled by the object. (a) False.
Displacement can be zero. (See IQ). (b) False. Displacement is less than or equal to the distance traveled by the object. Q: A particle moves along the x axis from A to B. Which Of the following values of the initial and final coordinates, which results in a negative displacement? (a) A = mm, B = mm (b) A = -mm, B = -mm (c) A = -mm, B (d) A = -mm, B = mm Answer: (c) Types of Motion Q: Distinguish between speed and velocity. Speed I Velocity I It is distance traveled by an object per unit time. I It is the displacement covered by an object per unit of time.
I Speed = distance + time I Velocity = displacement time I It is scalar quantity I. E. It has magnitude only. I It is vector quantity I. E. Has both magnitude and direction. I Q: Under what condition(s) is the magnitude of average velocity of an object equal to its average speed? Answer: When a body is in rectilinear motion I. E. Moves in straight line, the IQ O: What does the odometer of an automobile measure? Answer: Odometer is used to measure the distance covered by the automobile. It also ells the instant speed of the vehicle. It can be mechanical or electronic or electro- mechanical.
IQ 1: What does the path of an object look like when it is in uniform motion? Answer: When an object is in uniform motion, it means its speed is constant. Or it travels equal distance in equal intervals of time. The path may be a straight line or curved or gig-gag. Its direction may also vary but the magnitude is fixed. IQ 2: What is the average velocity over the “round trip” of an object that is thrown straight up from the ground and falls straight back down to the ground? Answer: Total displacement in this case (“round trip”) = mm Let us assume time taken = T sec.
Average velocity (v) = Total Displacement * Time Taken = O * T = O m/sec Note: In the above question, there are two important words “round trip” and “average velocity”. While solving numerical, focus on such words. These two words help in understand we need to compute displacement not distance. If average speed is being asked, we need to compute distance traveled. IQ 3: During an experiment, a signal from a spaceship reached the ground station in five minutes. What was the distance of the spaceship from the ground station? The signal travels at the speed of light, that is, 3 x 108 m s-l .
Answer: Given Time Taken (t) = 5 min = 5 x sis = 300 s Speed of signal (v) = 3 x 108 m s-l Distance of spaceship x 108 m s-l x 300=9 x 1010 9 x 107 km Note: When to take Average speed is equal to average mean of speeds and When to take Average Speed is equal to harmonic mean of speed? IQ 4: Consider the following two scenarios and tell in which case average speed is harmonic mean or arithmetic mean? Case 1: A fellow travels from city A to city B. For the first hour, he drove at the constant speed of 20 km/hrs. Then he (instantaneously) increased his speed and, for the next hour, kept it at 30 km per hour. Find the average speed of the motion.
Case 2: A fellow travels from city A to city B. The first half of the way, he drove at the constant speed of 20 km per hour. Then he (instantaneously) increased his speed and traveled the remaining distance at 30 km per hour. Find the average speed of the motion. Case 1: Arithmetic mean I. E. Bag speed = (20 + 30)/2 = 25 km/hrs Case 2: Harmonic mean I. E. Bag speed = 2/(1/20 + 1/30) = 24 km/hrs IQ 5: A cyclist cycles for t second at a speed of 3 m/s and then for the same time at a speed of 5 m/s along a straight road due north. What is the average speed of the cyclist? Answer: You may compute arithmetic mean to compute average speed.
Alternately, Total Time taken = at seconds Total Distance covered = at + 5th = 8th m Bag. Speed = Total Distance / Total Time = 8th/at= mm/s (answer) Q: When will you say a body is in (I) uniform acceleration? (it) uniform acceleration? Answer: (I) A body is said to be in uniform acceleration if it travels in a straight line and its velocity increases or decreases by equal amounts in equal intervals of time. A body is said to be in uniform acceleration if the rate of change of its velocity is not constant in equal intervals of time. IQ 7: A car travels along a straight line and covers one third of total distance with speed of 4 m/s.
The remaining distance, it covers with a speed of 2 m/s half the time and with speed of mm/s for the other half time. Find the average speed of the car. IQ 8: A bus decreases its speed from 80 km/h to 60 km/h in 5 s. Find the acceleration of the bus. Answer: Given, Initial speed of bus (u) = 80 km/h = 80 x 1000/(60 x 60) = 800/36 arms Final speed of bus (v) = 60 km/h = 60 x 1000/3600=600/36 Time taken (t) = Since v = u + at ms-2 … (answer) IQ 9: A train starting from a railway station and moving with uniform acceleration attains a speed 40 km/h in 10 minutes. Find its acceleration.
Answer: Given, Initial speed of train (u) = O km/hrs Final Speed of train (v) = 40 km/hrs Time taken = 10 min = 10/60= 1/6 hrs a km-2 … (answer) Q: A bus starting from rest moves with a uniform acceleration of 0. 1 ms-2 for 2 Answer: Given, Initial speed (u) = O m/s Acceleration of bus (a) = 0. 1 ms-2 Time taken (t) = 2 min = 2 x 120 s Final velocity ? Distance Covered (S) = ? V=u+at =0+0. 1 x x 14400/2=earn … (answer) Q: A train is traveling at a speed of 90 km-l . Brakes are applied so as to produce a uniform acceleration of – 0. Ms-2. Find how far the train will go before it is brought to rest.
Answer: Given, Initial velocity of tram (u) = 90 km-l = xx 1000/ 3600= 25 ms-l Final velocity (v) = O ms-l acceleration (a) = -0. 5 ms-2 “2 – u = as 252 -mm (answer) Q: A trolley, while going down an inclined plane, has an acceleration of 2 CM s-2. What will be its velocity 3 s after the start? Initial velocity (u) = O CM s-l . Acceleration (a) = 2 CM s-2. Time taken (t) = as v=u+at s-l Q: A racing car has a uniform acceleration of 4 m s-2. What distance will it cover in sis after start? Initial velocity of car (u) = O m s-l . Acceleration (a) = 4 m s-2. Mime taken (t) = sis Distance covered (S) = ? S = (answer) Q: A train is running at a speed of 72 km/h. It crosses a bridge of length half kilometer in 1 minute. Calculate the length of the train. Bridge = 1/2 km = 500 m Time taken by train to cross bridge = Min = sis Distance traveled by the train in sis = 20 x 60 = mm Length of train = (II) – (l) = 1200 – 500 = mm … (answer) Q: What is the nature of the distance-time graphs for uniform and non-uniform motion of an object? Answer: (a) When an object moves with uniform (constant) speed, it covers equal stances in equal intervals of time.
It will make a straight line on distance-time graph making an angle with time (x-axis) axis. (b) For an object moving in a non-uniform motion will cover unequal distances in equal intervals of time. It will be a curve on a distance-time graph. Q: What does the slope of distance-time graph indicate? Answer: Slope indicates the speed of the object. Q: A scalar quantity has ? (a) magnitude only (b) direction only (c) both direction and magnitude (d) none of these Answer: (a) magnitude only Q: Which of the following situation is impossible to have? Scene l: Object moving o east with velocity (v) and acceleration is acting towards west.
Scene II: Object is moving with variable velocity but fixed acceleration. Scene Ill: Object is moving with uniform velocity but non-uniform acceleration. Scene l. Ft. Object is moving with uniform speed but variable acceleration. Answer: (c) Scene Ill is impossible to occur. (Note: Scene I is possible. E. G. A car is moving towards east and brakes are applied (retardation occurs in opposite direction. Scene II is another common scenario. E. G. A free falling body, the velocity of the falling object increases every second but acceleration due to gravity is fixed.
Scene IV is possible: An object is in uniform circular motion I. E. It has fixed speed but direction of the object is changing every moment (direction of centripetal acceleration changes. ) Q(NICER): A driver of a car traveling at 52 km/h applies the brakes and accelerates uniformly in the opposite direction. The car stops in 5 s. Another driver going at 3 km/h in another car applies his brakes slowly and stops in 10 s. On the same graph paper, plot the speed versus time graphs for the two cars. Which of the two cars traveled farther after the brakes were applied?