net force of 8.2 N produces an acceleration of a sled with a mass of 5 kg. If the net force is doubled what is the new acceleration of the sled in m/s2, correct to 2 decimal places?Group of answer choices
Question
net force of 8.2 N produces an acceleration of a sled with a mass of 5 kg. If the net force is doubled what is the new acceleration of the sled in m/s2, correct to 2 decimal places?Group of answer choices
Solution
First, we need to understand the relationship between force, mass, and acceleration, which is given by Newton's second law of motion: F = ma, where F is the force, m is the mass, and a is the acceleration.
Given in the problem, we have F = 8.2 N and m = 5 kg. We can find the initial acceleration (a1) by rearranging the formula to a = F/m.
a1 = F/m = 8.2 N / 5 kg = 1.64 m/s²
The problem then states that the net force is doubled. So, the new force (F2) is 2 * 8.2 N = 16.4 N.
We can find the new acceleration (a2) by using the same formula a = F/m.
a2 = F2/m = 16.4 N / 5 kg = 3.28 m/s²
So, the new acceleration of the sled when the net force is doubled is 3.28 m/s², correct to 2 decimal places.
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