CLASS 11 - MOTION IN A PLANE - ASSIGNMENT 3 - SUMS

 CLASS 11

 MOTION IN A PLANE

ASSIGNMENT 3

SUMS



1. Two forces of 5 N and 7 N act on a particle with an angle of 60° between them. Find the resultant force.


2. Two forces whose magnitudes are in the ratio of 3:5 give a resultant of 35 N.  If the angle of inclination be 60°, calculate the magnitude of each force.


3. Two equal forces have their resultant equal to either.  What is the inclination between them?


4. A body is simultaneously given two velocities one 30 m/s due east and the other 40 m/s due north.  Find the resultant velocity.


5. Find the unit vector parallel to the resultant of the vectors  A = i + 4j - 2k  and B = 3i - 5j + k. (use → for A, B and ˄ for unit vectors i, j, k).


6. Find the vector AB and its magnitude if it has initial point A(2,3,-1) and final point B(2,1,4).(use → for A, B and ˄ for unit vectors i, j, k).


7. One of the rectangular components of  a velocity of 80 km/h is 40 km/h.  Find the other component.


8. Find the angle between the vectors A = 2i - 4j + 6k and B = 3i + j + 2k.(use → for A, B and ˄ for unit vectors i, j, k).


9. Prove that the vectors A = 2i - j and B = i + 2j + 3k are perpendicular to each other.(use → for A, B and ˄ for unit vectors i, j, k).


10. Find the value of a if A = 3 i - 2 j + k is perpendicular to the vector B =  2 i + 6 j + a k (use → for A, B and ˄ for unit vectors i, j, k).


11. Prove that the vectors A= 4i + 3j + k and B = 12 i + 9 j + 3 k are parallel to each other. (use → for A, B and ˄ for unit vectors i, j, k).


12. Find the area of the parallelogram formed by the vectors A=3i + 2j and B = -3i + 7j . (use → for A, B and ˄ for unit vectors i, j, k).


13. Find the unit vector perpendicular to both the vectors A = 2i + j+ k and B =  i - j + 2k. (use → for A, B and ˄ for unit vectors i, j, k).


14.  Find the conditions for two vectors A, B to be (i) parallel and (ii) perpendicular to each other.


15.  The sum and difference of two vectors are perpendicular to each other.  Prove that the vectors are equal in magnitude. 





Comments

Post a Comment

Popular posts from this blog

CBSE CLASS 12 PHYSICS NUMERICALS (SOLVED)

Image
CBSE CLASS 12 PHSICS  NUMERICALS (SOLVED)   1. A long straight wire carries a current of 35 A. What is the magnitude of the field B at a point 20 cm from the wire? 2.  What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30º with the direction of a uniform magnetic field of 0.15 T?    3. Two long and parallel straight wires, A and B, carrying currents of 8.0 A and 5.0 A in the same direction, are separated by a distance of 4.0 cm. Estimate the force on a 10 cm section of wire A. 4.  A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is suspended vertically, and the normal to the plane of the coil makes an angle of 30º with the direction of a uniform horizontal magnetic field of magnitude 0.80 T. What is the magnitude of torque experienced by the coil? 5.  A short bar magnet placed with its axis at 30° with a uniform external magn...
Read more

CLASS 10 SCIENCE Short and Very short Answers

Class 10 Students can go through this as a ready reckoner for their Science Board Examination  All answers are given in blue 1. What happens when Silver chloride is put under sunlight? Silver metal and chlorine gas are formed . 2. Acid used in refining of petroleum to remove sulphur and other compounds Sulphuric acid 3. The magnetic field lines de to straight wire carrying a current are ___ Circular: Concentric circles with centre at the axis of the conductor. 4. When more than one resistors are in series, the quantity that remains same in them is ________ Current:  Resistors in series have same current 5. The percentage of solar radiation absorbed by all the green plants for the process of photosynthesis is about _________ 1 percent : The green plants convert this into food energy and make this energy available to the rest of the ecosystem. 6. The property of a proton that can change while it moves freely in a magnetic field Momentum When a proton moves in a magnetic field, i...
Read more

CLASS 12 PHYSICS ONE MARK QUESTIONS WITH ANSWERS

ONE MARK QUESTIONS WITH ANSWERS  Hi students, I have made my best effort in this short time to post the Q&A given below.  The main aim is to help students answer one mark and also other conceptual questions with these points in mind. Kindly go through this after completely learning all chapters.   Note:  Students are advised to read all the chapters thoroughly and take points then and there.   Also note that the answers are marked in blue.   1. Coulombian force is a central and electric force. 2. An infinite number of capacitors  with capacitances 1 μF, 1/2  μF , 1/4  μF  , 1/8  μF .. etc are connected in parallel combination.  Their equivalent capacitance will be 2  μF. 3. The power of electric circuit is V²/R. 4. The radius of a circular path in which an electron will move, when subjected to a perpendicular uniform magnetic field B is mv/Be 5. Infrared  radiation causes heating effect in sunlight. 6....
Read more