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10 m/s2. Suppose NASA sends a space probe to measure a distant planet\'s gravity

ID: 1573136 • Letter: 1

Question

10 m/s2. Suppose NASA sends a space probe to measure a distant planet's gravity. The probe releases a weight from rest at a height, h, above the planet's surface. Using radar, the probe measures the time 3. Near Earth's surface, acceleration due to gravity is g free fall are met, what is the planet's constant acceleration due to gravity, ap? (Give a symbolic answer.) (B) If h = 5000m and 100 m/s, calculate ao, (C) Give your answer as a multiple or fraction of g. On the empty grid provided, sketch the velocity-time (VT) plot for the following situation 4. A hovercraft is moving backwards across a lake into a strong wind. The wind, acting as a constant positive acceleration, slows the hovercraft down until it eventually turns around and begins moving forward with increasing speed. (Note: Label your axes.) 5. Perform the following calculations given the vectors: A = (2m)2 + (3m), B = (1m)2 + (1m), a. Find 2A - B in unit-vector notation. b. Convert A into magnitude-angle notation AT-A-GLANCE

Explanation / Answer

3. (A) Applying d = v0 t + a t^2 / 2

h = 0 + ap t^2 /2

ap = 2 h / t^2


(b) Applying vf^2 - vi^2 = 2 a d

100^2 - 0^2 = 2 ( ap) (5000)

ap = 1 m/s^2

(c) ap = (1 / 10) g = 0.1 g