A lorry with a mass of 5000 kg accelerates to overtake a caravan on the motorway. Its acceleration is 1.5 m/s². What force must the engine be providing? You can ignore the effects of friction and air resistance.
Question
A lorry with a mass of 5000 kg accelerates to overtake a caravan on the motorway. Its acceleration is 1.5 m/s². What force must the engine be providing? You can ignore the effects of friction and air resistance.
Solution
To find the force that the engine must be providing, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration.
The formula is: F = m * a
Where: F is the force, m is the mass of the object, and a is the acceleration.
Given in the problem, m = 5000 kg (mass of the lorry) and a = 1.5 m/s² (acceleration of the lorry)
Substituting these values into the formula, we get:
F = 5000 kg * 1.5 m/s² = 7500 N
So, the engine must be providing a force of 7500 Newtons.
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