A helicopter weighs 3920N. Calculate the force on it if it is ascending up at a rate of 2 m/s2.
Question
A helicopter weighs 3920N. Calculate the force on it if it is ascending up at a rate of 2 m/s2.
Solution
Sure, here's how you can calculate the force on the helicopter:
Step 1: Identify the given values. The weight of the helicopter (which is a force) is 3920 N. The acceleration of the helicopter is 2 m/s² upwards.
Step 2: Recall the formula for force. The formula for force is F = ma, where F is the force, m is the mass, and a is the acceleration. However, we don't know the mass of the helicopter. We can find it using the formula for weight, which is W = mg, where W is the weight and g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).
Step 3: Calculate the mass of the helicopter. Rearrange the weight formula to solve for m: m = W/g. Substitute the given values: m = 3920 N / 9.8 m/s² = 400 kg.
Step 4: Calculate the force on the helicopter. Substitute the mass and acceleration into the force formula: F = m*a = 400 kg * 2 m/s² = 800 N.
However, this is the additional force required for the helicopter to ascend at 2 m/s². The total force on the helicopter is the sum of its weight and this additional force: 3920 N + 800 N = 4720 N.
So, the force on the helicopter as it ascends is 4720 N.
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