Question

poween speed and velocity? Name ONE difference and ONE similarity between speed and A BMW motor car with a mass of 12 ton accelerates undomly from Iss of 12 ton acceleratos uniformly from rest up a gradient of 1 in 20 and reaches a speed of 15 5 m/s after 3 minutes Calculate 1.2.1 The acceleration of the BMW 1.22 The kinetic energy the BMW possesses after 3 minutes 123 The gain in potential energy A fiat belt has a speed of 72 km/h The tension in the tight side is 600 N and the tension ratio 41 Calculate 13.1 132 1.3.3 1.3.4 Tension in the slack side Effective tensile force Power transmitted The velocity ratio if the diameter of the driver pulley is 20 cm and the diameter of the driven pulley is 0 12 m

Answer 1

9302 mass of coor 1'2 Ton, gradient (up) = 1 in 20. initial speed = 0 (rest) final speed = 15'5 m/s time taken=3min, 1.2 112 Accelaration of the motor a final speed - initial speed time in seconds . 155-0 = 00861 m/s², 3x60 1.2.2 After 3 minutes, relocity, v - 155m/s. mass, ma l'2 Ton So, kinetic energy = lymv2 = 1200 kg x 1200 x(155)2 =144150 Joules, 1.2.3 Distance covered by the car, S .a.t2 a = acceleration * X00861 x 3x 60? → S = 1395 m hi 20

Gain in potential energy = m.g (he-hi) . Now, nothits: sino. So, oſpotential energy) – m.g.s.sine. = 1200 x 9.81 x 1395 x sin (tan- ( 20 ) ) = o(potential energy) - 820072'55 Joules. 1-3) Speed of belt, v= 72kmin. Tension on tight sides Ti = Goon. Ib č ti n n slack side - T2 (assume) Tension ratio = a re gli 113.1. Tension in slack side -t600 = 150N. 1.3.2. Effective tensile force = (1, -T2 ) = (500-150) N= 450N. 2.3.3. Power transmitted = (1, -T2 ) v = 450 x 72x103 Nm/s 3600 = 9000 W. 1.3.4 1-3,4 Velocity ratio = sela aris -diameter of driver pulley diameter of driven pulley 20cm borg 0-25 Velocity sahio 012m o ve = "6667. Am