A 13 kg shopping trolley experiences a 10 N force. The trolley's mass is increased when adding shopping bags to it so that its mass is now 20 kg. However the force acting on it remains at 10 N. What is the correct statement regarding its acceleration? Group of answer choicesThe acceleration of the trolley remains unchangedThe acceleration of the trolley increasesThe trolley's acceleration is zero because it moves at constant speedThe acceleration of the trolley decreases
Question
A 13 kg shopping trolley experiences a 10 N force. The trolley's mass is increased when adding shopping bags to it so that its mass is now 20 kg. However the force acting on it remains at 10 N. What is the correct statement regarding its acceleration? Group of answer choicesThe acceleration of the trolley remains unchangedThe acceleration of the trolley increasesThe trolley's acceleration is zero because it moves at constant speedThe acceleration of the trolley decreases
Solution
The acceleration of the trolley decreases.
Here's why:
Acceleration is given by the formula F = ma, where F is the force, m is the mass, and a is the acceleration.
In the first scenario, the force is 10 N and the mass is 13 kg. So, the acceleration is a = F/m = 10 N / 13 kg = 0.77 m/s².
In the second scenario, the force remains the same (10 N) but the mass increases to 20 kg. So, the acceleration is a = F/m = 10 N / 20 kg = 0.5 m/s².
Therefore, the acceleration of the trolley decreases when the mass increases, assuming the force remains constant.
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