Sled accelerates at 2m/s^2. If net force is tripled and mass is doubled then what is the new acceleration of the sled?
F = m a
a = F/m
a' = 3 F /2m = (3/2) F/m
(3/2)(2) = 3 m/s^2
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To find the new acceleration of the sled, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.
Given:
Initial acceleration (a1) = 2 m/s^2
Initial net force (F1) = ?
Initial mass (m1) = ?
Final net force (F2) = 3 * F1 (triple the initial net force)
Final mass (m2) = 2 * m1 (double the initial mass)
Final acceleration (a2) = ?
To solve for the final acceleration (a2), we can set up the equation:
F2 = m2 * a2
Since F2 = 3 * F1 and m2 = 2 * m1, we can substitute these values into the equation:
3 * F1 = (2 * m1) * a2
Now we can solve for a2:
a2 = (3 * F1) / (2 * m1)
Here we have a2 in terms of the initial net force (F1) and the initial mass (m1). Unfortunately, we don't have the values of F1 and m1, so we cannot calculate the exact value of a2 without those inputs.