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Science Spectrum

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A force F pulls two trolleys A and B, connected by a chain, where the mass of B is twice the mass of trolley A.

It is given that the acceleration of trolley B is 4 m.s⁻² to the right.

 

  1. How does the acceleration of trolley A compare to that of trolley B? Explain your reasoning.

  2. For which of the two trolleys in the normal force equal to the weight of the trolley? Explain.

A force of 15 N, applied at  to the horizontal, pulls a 5kg block on a smooth surface (friction is negligible).

  1. Calculate the acceleration of the block. (4)


Thabo suggests that the force applied by the block on the surface is less than the weight of the block since the force is applied at an angle to the horizontal.

2. Is Thabo’s suggestion correct? Explain your reasoning. (2)

3. Calculate the normal force applied by the surface on the block. (3)

Your practical group is asked to consider the following situation:

 

A boy, James, holds a box of mass 1.5 kg stationary on a frictionless, inclined plane, by pushing it horizontally with a force F as shown in the diagram.

Your group is required to find the magnitude of F. In an attempt to solve the problem, Ebrahim proposes the following solution: 

He draws a correct free body-diagram of the forces acting on the box and labels the forces as in the diagram: 


The string connecting P and Q suddenly breaks after 3 s while force F is still being applied.

Learners draw the velocity-time graph for the motion of P and Q before and after the string breaks, as shown below.

  1. Write down the time at which the string breaks. Justify your answer. (3)

  2. Which portion (X, Y or Z) of the graph represents the motion of box Q, after the string breaks? Use the information in the graph to fully support the answer. (4)

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