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Syllabus

Q.A U - shaped uniform wire of sides 2l, l and l. The x and y co-ordinates of the centre of mass of each side are shown in figure. Calculate the x and y co-ordinates of the centre of mass of wire.$1)\left(\frac{3l}{4},l\right)2)\left(\frac{l}{4},\frac{l}{2}\right)3)\left(\frac{l}{4},l\right)4)\left(\frac{l}{2},l\right)$

NOTE: It must be only in the form of table and in 4 points

s=ut + 1/2 ut

^{2}Q.9. Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.

Q.A bomb of mass 'm' at rest at the coordinate origin explodes into three equal pieces. At a certain instant one piece is on the x-axis at x = 40 cm and another is at x = 20 cm, y = $-$60 cm. The position of the third piece is1) x = 60 cm, y = 60 cm 2) x = $-$60 cm, y = $-$60 cm

3) x = $-$60 cm, y = 60 cm 4) x = 60 cm, y = $-$ 60 cm

21. The acceleration of a moving body is constant in magnitude and direction. Must the path of the body be a straight line? If not, give an example.

Q14. A space craft flying in a straight course with a velocity of 75 km s

^{–1}fires its rocket motors for 6.0 s. At the end of this time, its speed is 120 Km s^{–1}in the same direction. Find : (i) the space craft's average acceleration while the motors were firing, (ii) the distance travelled by the space craft in the first 10 s after the rocket motors were started, the motors having been in action for only 6.0 s.Ans. (i) 7.5 Km s^{–2}, (ii) 1065 KmQ15. A train starts from rest and accelerates uniformly at a rate of 2 m s

^{–2}for 10 s. It then maintains a constant speed for 200 s. The brakes are then applied and the train is uniformly retarded and comes to rest in 50 s. Find : (i) the maximum velocity reached, (ii) the retardation in the last 50 s, (iii) the total distance travelled, and (iv) the average velocity of the train.Ans. (i) 20 m s^{–1}, (ii) 0-4 m s^{–2}, (iii) 4600 m, (iv) 17.69 m s^{–1}Q.Three identical bricks each of length L are placed as shown in fig. The centre of mass of the system is from O at a distance of(a) 1 km h-1 (b ) 18 km min-1

Q. A ball is thrown vertically up with a velocity of 25m/s. How much is the displacement covered in 4s? How much is the distance?

v

^{2}- u^{2}= 2as

1. A body starts from rest with a uniform acceleration 2 m s

^{-2}. Find the distance covered by the body in 2 s.2. A body starts with an initial velocity of 10 m s

^{-1}and acceleration 5 m s^{-2}. Find the distance covered by it in 5 s.B-112 A body is projected horizontally from the top of a tower with initial velocity 18 ms

^{-1}, it hits the ground at angle 45^{o}. What is the vertical of velocity when it strikes the ground ?$\left(\mathrm{A}\right)18\sqrt{2}{\mathrm{ms}}^{-1}\left(\mathrm{B}\right)18{\mathrm{ms}}^{-1}\left(\mathrm{C}\right)9\sqrt{2}{\mathrm{ms}}^{-1}\left(\mathrm{D}\right)9{\mathrm{ms}}^{-1}$

3. A body is moving in a straight line and its displacement at various instants of time is given in the following table

Plot displacement - time graph and calculate

(i) total distance travelled in 1 s 5 s.

(ii) average velocity in time interval 1 s to 5 s.

18.A body falls freely from a certain height. Show graphically the relation between the distance fallen and square of time. How will you determine g from this graph ?Q. The density of water is 1000 kg/${m}^{3}$. If a solid of relative density 1.5 is placed in water, will it float or sink?

[Ans : Sink]

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