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cart some quick pushes along a track. Youas also saw that the speed-time (top) a

ID: 2029486 • Letter: C

Question

cart some quick pushes along a track. Youas also saw that the speed-time (top) and force-time (bottom) graphs for this cart looked something like this. -0.5 The two vertical dotted lines (A & B) mark two particular times during the motion of the cart. o.5 Below are two force diagrams for this cart. Which of these diagrams corresponds to time A and which to time B? Explain how you know, both in terms of force arrows and the speed arrows Force applied to cart by hand Force applied to cart by hand

Explanation / Answer

1. at time A, magnitude of force applied is greater (as per graph) than at time B, which is only possible when figure1 corresponds to time B and figure2 to time A, on comparing the sizes of force arrow. Further when force is applied in direction of motion velocity increases, so where force is applied at time A, velocity of cart increases and again when force is applied at time B, its velocity further increases (in addition to that gained in time A), there smaller velocity arrow corresponds to time A (figure2) and bigger velocity arrow to time B (figure1).

2. a) in diagram A, body is at rest so at 0 velocity=graph 3.

b)in diagram B, force is applied in direction of motion leading to gain in velocity, accelerating motion=graph 1

c) in digram C, body is at constant velocity and no external force is applied so no change in velocity= graph 2

3. a) when energy is received velocity increases (kinetic energy increases) thus section 1

b) when force is applied in direction of motion velocity increases (it accelerates) thus section 1

c) when energy is given its looses its kinetic energy thus velocity reduces thus section 3 or section 5

d) when force is applied in opposite direction its velocity decreases (it deacceleratrs) thus section 3 or section 5

e) when no energy is recieved or given, kinetic energy remains same, no gain or loss in velocity thus section 2 or section 4.