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A ball, of mass 0.06 kg, is thrown vertically upwards from the balcony of a building, 3 m above the ground - NSC Physical Sciences - Question 3 - 2021 - Paper 1

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A ball, of mass 0.06 kg, is thrown vertically upwards from the balcony of a building, 3 m above the ground. The ball reaches a maximum height h above the ground, as ... show full transcript

Worked Solution & Example Answer:A ball, of mass 0.06 kg, is thrown vertically upwards from the balcony of a building, 3 m above the ground - NSC Physical Sciences - Question 3 - 2021 - Paper 1

Step 1

3.1 Name the force acting on the ball while it is in free fall.

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Answer

The force acting on the ball while it is in free fall is the gravitational force, which can be defined as the weight of the ball.

Step 2

3.2 Write down the acceleration of the ball at time t = 1,02 s.

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The acceleration of the ball at time t = 1,02 s is equal to the acceleration due to gravity, which is approximately 9.81m/s29.81 \, m/s^2 acting downwards.

Step 3

3.3 Consider the areas A₁ and A₂ shown in the graph above. Write down the numerical value represented by the DIFFERENCE in areas A₁ and A₂.

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To find the difference between areas A₁ and A₂, subtract the area A₂ from area A₁. The specific values will depend on the measurements from the graph, which should be calculated.

Step 4

3.4 Calculate the:

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Step 5

3.4.1 Speed at which the ball is thrown upwards.

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Using the velocity at the moment of launch, we can derive this using kinematics. The initial speed can be determined using the graph, where the velocity at time t = 0 can be noted.

Step 6

3.4.2 Height h.

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The height h can be calculated using kinematic equations. Assuming no air resistance, the maximum height can be calculated from the initial speed and the acceleration due to gravity. The formula is given as: h=vit+12at2h = v_i t + \frac{1}{2} a t^2 where viv_i is the initial velocity, aa is acceleration, and tt is the time until the ball stops moving upwards.

Step 7

3.5 Calculate the work done by the ground on the ball while the ball is in contact with it.

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The work done by the ground on the ball can be calculated using the formula for work done, which is given by: W=FdW = F \cdot d, where FF is the force exerted by the ground and dd is the displacement of the ball. Since the ball bounces back after hitting the ground, consider the kinetic energy converted to potential energy as it rises.

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