Multiple Choice
What is the approximate value of the acceleration due to gravity for an object in free fall near the surface of the ?
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8. Centripetal Forces & Gravitation
Acceleration Due to Gravity
Multiple Choice
If an object is dropped from rest near the surface of Mars, where the free-fall acceleration is , what will be its velocity after falling for ?
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Verified step by step guidance1
Identify the known quantities: the initial velocity \(v_0\) is 0 m/s (since the object is dropped from rest), the acceleration due to gravity on Mars \(g\) is 3.7 m/s², and the time \(t\) the object falls is 4 s.
Recall the kinematic equation that relates velocity, acceleration, and time when starting from rest: \(v = v_0 + g \times t\).
Since the object is dropped from rest, substitute \(v_0 = 0\) into the equation, simplifying it to \(v = g \times t\).
Plug in the values for \(g\) and \(t\) into the equation: \(v = 3.7 \text{ m/s}^2 \times 4 \text{ s}\).
Calculate the product to find the velocity after 4 seconds of free fall on Mars.
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