BHASVIC MTHS A 1 DOUBLES ASSIGNMENT 9 B

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B Skills 1

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B Skills 2

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B Skills 1 - Answers

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B Skills 2 – Answers

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 1

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 2

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 3 (a) Find the equation of the line l, which goes through the point P (5, 9) and has gradient 2. (b) The circle C has equation. Show that l is a tangent to C. A line is a tangent to a circle if it touches it once only (rather than intersecting it twice or not touching it at all). (c) Find, as a surd, the length from P to the point where l touches the circle.

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 4 (a)(i) Write down the resolved part of the force F in the direction Ox. (ii) Write down the resolved part of the force F in the direction Oy. A toboggan of mass 20 kg is pulled, with a rope, up a slope inclined at 15 to the horizontal. The rope is inclined at an angle of 15 to the slope, and the tension in the rope is 70 N. Given that the toboggan is moving at constant speed: (b)(i) Find the frictional force F. (ii) Find the normal reaction R. (iii) Find the coefficient of friction.

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 5 A particle of weight W is attached to the end B of a light string AB which is fixed at A. The string is inclined at 30° to the vertical by a force of magnitude P as shown. Find the value of P when W is: (a) 2√ 3 N (b) √ 48 N (c) √ 300 N

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 6 A truck of mass 800 kg is towing a car of mass 500 kg The engine of the truck is exerting a pulling force of magnitude P N. The total resistance on the truck is 1200 N, and on the car 750 N. Find the acceleration of the system and the tension in the tow rope when P is; (a) 2000 N (b) 5000 N (c) 8000 N Hint: Draw a diagram and consider the truck and car separately.

BHASVIC MαTHS A 1 DOUBLES ASSIGNMENT 9 B 7 A scalene triangle has the coordinates (2, 0, 0), (5, 0, 0) and (4, 2, 3). Work out the area of the triangle.