Figure 8 shows a girl bowling a ball along a ten-pin bowling lane - AQA - GCSE Physics Combined Science - Question 4 - 2020 - Paper 2
Question 4
Figure 8 shows a girl bowling a ball along a ten-pin bowling lane.
The girl is trying to knock down the ten pins at the end of the bowling lane.
04.1
Velocity is ... show full transcript
Worked Solution & Example Answer:Figure 8 shows a girl bowling a ball along a ten-pin bowling lane - AQA - GCSE Physics Combined Science - Question 4 - 2020 - Paper 2
Step 1
04.1 Velocity and Scalar Quantity
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Answer
A vector quantity has both magnitude and direction, such as velocity, which indicates how fast an object is moving and in which direction. A scalar quantity, on the other hand, has magnitude only, such as speed, which only tells how fast an object is moving without specifying the direction.
Step 2
04.2 Deceleration of the Bowling Ball
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Answer
The bowling ball decelerates due to the resistive force that acts on it, such as friction or air resistance. This force opposes the direction of the ball's motion, resulting in a decrease in its speed. Another reason is that work is done on the ball as it travels along the lane, which reduces its kinetic energy.
Step 3
04.3 Equation Linking Mass, Momentum, and Velocity
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Answer
The equation that links mass (m), momentum (p), and velocity (v) is given by:
p=m⋅v
or alternatively,
m=vp
Step 4
04.4 Mass of the Bowling Ball
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Answer
Using the momentum formula:
p=m⋅v
We can rearrange this to find the mass:
m=vp
Substituting the values:
m=5.0 m/s26 kg m/s=5.2 kg
Thus, the mass of the bowling ball is 5.2 kg.
Step 5
04.5 Explanation of Deceleration upon Hitting the Pin
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Answer
The bowling ball slows down upon hitting the pin due to the conservation of momentum in the collision. When the ball collides with the pin, it exerts a force on the pin, causing the pin to accelerate. Since the total momentum must remain constant (assuming no external forces), the momentum of the ball must decrease to allow the pin to gain momentum. Consequently, the ball loses speed as it transfers some of its momentum to the pin, which results in the ball slowing down.