University of British Columbia Physics Questions

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University of British Columbia

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Use the following information to answer the next two questions. A laboratory cart with negligible friction that has a mass of 0.95 kg is moving at a velocity of 1.2 m/s south, when it strikes a stationary rubber bumper and rebounds. The magnitude of the force experienced by the cart during the collision with the bumper is shown in the graph below. The direction of the force exerted on the cart is north. Force on a Laboratory Cart as a Function of Time 5 4 3 Force (N) A 1 0.2 10 0.6 Time (s) 6. The velocity of the cart immediately after it rebounds from the rubber bumper is 0.69 m/s, north 1.9 m/s, north B. C. D. 2.6 m/s, north 3.1 m/s, north 7 7. Because the cart-bumper system has negligible friction, it can be modelled as i Because the kinetic energy in the cart-bumper system is ii the collision can be classified as The statements above are completed by the information in row Row i iii isolated not conserved inelastic B. isolated conserved elastic C. non-isolated not conserved inclastic D. non-isolated conserved elastic 8 Use the following information to answer the next three questions, A white billiard ball has a mass of 0.170 kg. A green billiard ball has a mass of 0.160 kg A collision involving a white ball and a green ball is described in the Before and After diagrams below. Before the White Ball-Green Ball Collision White ball wt = 0.170 kg 2.00 m/s Pute=0.340 kg-m/s 4097 Green ball Pete = 0 kg.m/s Ek = OJ 建 拳 After the White Ball-Green Ball Collision White ball 1.20 m/s Pub=0.204 kg-m/s 0.122) EK Green ball Rubber bumper 759 Immediately after the collision with the green ball, the white ball collided with the rubber bumper along the edge of the billiard table. The white ball's velocity before the ball hit the bumper was 1.20 m/s, right, and immediately after the ball hit the bumper it was 1.00 m/s, left. 9 8. The maximum speed of the green ball immediately after the collision was 0.85 m/s B. 1.37 m/s C. 1.41 m/s D. 1.60 m/s 9. The impulse experienced by the white ball during its collison with the side bumper was B. 3.4 x 10 2N s. left 3.4 x 10 ? Nos, right 3.7 x 10-'Nos, lent 3.7 x 10-'N-s, right C. D. 10. The white ball-green ball collision is classified as A. clastic B. inelastic C. isolated D. non-isolated 10 Use the following information to answer the next question. Five cars were used in a test designed to study how injuries to the occupants of a car could be reduced. Car 1 Mass (kg) 1740 2950 1770 2 3 4 2000 5 2040 11. The automatic braking system in each car was designed to activate if the car encountered a sudden head-on force equal to or greater than 1.25 x 10* N. The activator uses an instrument that measures average force. In which cars would the braking system activate if each vehicle were forced to stop from 100 km h in 4.0 s? A. B. 1. 2. and 4 1.3. and 4 2. 3. and 5 2. 4. and 5 C. 0. 12. The 1740 kg car travelling north on an icy test area was crashed into the 2000 kg car travelling west. The test designers found that the two vehicles locked together on impact and slid at 9.0 m's at 35west of north. What was the speed of the 1740 kg car just before impact? B. 16 m s 11 ms 8.5 ms 5.9 ms C. D. 11
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Question 6:
t2

Impulse J x =  Fx (t )dt = Area under the Force curve.
t1

Impulse and momentum are related by the momentum principle.
p x = m(vt2 − vt1 ) = J x

…….(1)

Given m = 0.95 and vt1 = 1.2 m/s
t2

J x =  Fx (t )dt =
t1

1
 0.8  4.5 = 1.8
2

…….(2)

From equation (1) and (2), we have

p x = m(vt2 − vt1 ) = J x = 1.8

(...


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