A rock hits the ground at a speed of 15 m/s and leaves a hole 50 cm deep. After it hits the ground, what is the magnitude of the
1 answer:
Answer:
B) 225 m/s^2
Explanation:
The rock hits the ground at 15m/s and travels 50cm=0.5m through the ground until it stops.
The acceleration is supposed to be uniform, so the formula we have to use is , which for acceleration is:
Taking the <em>downwards direction as positive</em> (the direction of traveling, so the initial velocity and displacement will be positive), substituting our values for that movement we have:
Where the <em>negative sign indicates that it is pointing upwards.</em>
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1) In a circular motion, the angular displacement 
is given by
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
. Using the information about the radius, 
, we find the total angular displacement:
2) If we put larger tires, with radius
, the angular displacement will be smaller. We can see this by using the same formula. In fact, this time we have:
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
2) If we put larger tires, with radius