NCEA Level 2 Physics (90255) 2010 — page 1 of 4 Assessment Schedule – 2010 Physics: Demonstrate understanding of mechanics (90255) Evidence Statement Q ONE (a) Evidence Achievement Merit 1 v Both correct. Must have labels, arrows and must be at right angles to each other. a (b) 1 Correct direction for arrow. 1 There is no unbalanced force, so it travels in a straight line. OR No acceleration and hence travels in a straight line. 2 Correct working except for one error. If candidate has substituted correctly for 2 Correct working and answer. 1 Description all correct. 2 Correct vertical component OR used v =23.52 to calculate v (v = 39.5 m s–1) There is no horizontal unbalanced force on the discus. Since there is no unbalanced force, there is no acceleration, and hence it travels in a straight line. (c) TWO (a) (b) Excellence mv 2 F= r 2.1 ! 112 290 = r 2.1 ! 112 r= 290 r = 0.88 m 290 = Correct except for one error. Downwards 9.8 m s–2 1 Both correct. Must have size AND direction. Accept 10 m s–2. 2 Calculates speed using t = 2.4 s. v = 23.52ms-1 OR Used an incorrect value for time. (c) vh Consider vertical motion vf = vi + at 2.4 2 vi = 11.76 11.76 v v = 19.5 m s!1 sin 37° = 2 Correct working and answer. OR If candidate has transposed incorrectly 290 and got r = 2.1 ! 121 1 0 = vi ! 9.8 " There is no acceleration, due to the absence of an unbalanced force, and hence it travels in a straight line. 2.1 ! 112 r As it rises, kinetic energy changes to gravitational potential energy. As it falls, gravitational potential energy is converted to kinetic energy. As it rolls, kinetic energy is converted to heat. v 1 NCEA Level 2 Physics (90255) 2010 — page 2 of 4 (d) THREE (a) 1 Greater range. 2 Correct answer. Two significant figures because this is the smallest number of significant figures in the data. 1 Correct answer. When she lands an upward force causes her to stop. Her momentum change is !p = F !t The size of her momentum change is unaffected so the padded mat causes her to stop in a longer time. This means there is a smaller force acting on her. OR Work must be done to stop her. W = F!d The size of the work done is unaffected, so the padded mat causes her to stop in a longer distance. This means there is a smaller force acting on her. OR Explains in terms of acceleration: Since change in velocity is over a longer period of time, so less acceleration since !v . Since F = ma, a smaller a= t acceleration would mean a smaller force when landing on the padded mat. 1 2 • If there is a lift force, the total force downwards is smaller. • So the downward acceleration is smaller. • So the discus is in the air for a longer time. • So the range is greater. OR The lift force allows discus to fly higher and hence it is in the air for longer. Since horizontal velocity is constant, then a greater distance is travelled in greater time. Hence range is greater. d = vi t + 1 2 at 2 1 Greater range because the discus is in the air for a longer time. 1 Full explanation. (accept either reason 1 OR reason 2) OR a combination of 1 and 2 so long as they have 4 bullet points. Decreases the size of the force acting on her body. OR Longer time and hence smaller impact OR Transfers energy over a longer period of time. 1 Decreases the size of the force acting on her body because stopping time increases. OR Decreases the size of the force acting on her body because stopping distance increases. 1 Full explanation. Correct acceleration. OR Correct Δp 2 Correct answer. 1 ! 2.21 ! 2.02 2 d = 4.42 m = 4.4 m d = 0+ (b) (c) FOUR (a) !v 11 " 0 = = 44 m s"2 !t 0.25 F = ma = 5.4 # 44 = 240 N a= OR F !t = m!v F # 0.25 = 5.4(11 " 0) F = 240 N NCEA Level 2 Physics (90255) 2010 — page 3 of 4 (b) Because friction is negligible there are no net outside forces so the total momentum remains constant. 1 Total momentum constant. OR Momentum of stationary shot increases. 1 Achievement plus one explanation. 1 Full explanation (last sentence is not essential but can provide evidence). *Must have TWO statements and a reason for each statement – one for total momentum and one for momentum of 4 kg shot. 2 Correct equation and substitution. OR Gets 8.1 and 9.6 kg ms–1 correct. 2 Correct answer to final speed. 2 Correct answer to final velocity including size and direction. 2 Correct except for unit conversion OR weight calculation. 2 Correct calculation and answer. *Ignore negative sign The momentum of the stationary shot increases because there is an outside (unbalanced) force on it. Momentum gained by stationary shot = momentum lost by thrown shot. OR The 5.4 kg shot transfers some of its momentum to the 4 kg shot. (c) !p =!p i f 5.4 " 1.5 # = 5.4v + 4.0 " 2.4 # 8.1 # $9.6 # = 5.4v v = 0.28 m s $1 FIVE (a) (b) % F = kx F k= x 539 k= = 1.8 ! 105 N m "1 0.003 E = 12 kx 2 *If used mass = 55 kg and x = 3 then NA (two errors). 1 Correct unit. 2 Correct answer. 1 One correct statement. 1 Both statements correct. 2 Correct equation and substitution (line 2). Even though g cancels out, it must be included in the equation unless it is clearly stated that it cancels. 2 Correct answer for 2 Correct answer. W =121 N Accept either OR 12.3 kg or 1 If used 0.6 kg g = 10 m s–2, then W = 106.6 N OR Got one error in substitution but got rest of method correct. E = 12 ! 1.8 ! 105 ! 0.0032 E = 0.81 J OR Solves using E = 12 Fx (c) The total force is zero and the total torque is zero. (d) ! C = ! AC W " 1.5 + (539 " 2) = 420 " 3 1260 # 1078 = 121 N 1.5 W 121 m= = = 12.3 kg = 12 kg g 9.8 OR m = 10.6 kg (if used with g = 10 N kg–1) W= NCEA Level 2 Physics (90255) 2010 — page 4 of 4 Judgement Statement Achievement Achievement with Merit Achievement with Excellence 10 correct answers including 3 A1 + 2 A2 11 correct answers with 8 M including 2 M1 + 2 M2 12 correct answers with 5 M + 4 E including 1 E1 + 1 E2
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