Final answer:
The net force can be calculated using the formula F = m * a. For each question, we plug in the given values to find the net force or the unknown mass or acceleration.
Step-by-step explanation:
3. A 23 kg object is pushed at an acceleration of 6 m/s^2 .
Using the formula F = m * a, where F is the net force, m is the mass, and a is the acceleration, we can plug in the values:
F = (23 kg) * (6 m/s^2) = 138 N
The net force that causes this acceleration is 138 N.
4. What is the required net force if we want a 45 kg mass to accelerate at a rate of 4 m/s^2?
Again, using the formula F = m * a:
F = (45 kg) * (4 m/s^2) = 180 N
The required net force is 180 N.
6. A net force of 110 N is applied to an object of an unknown mass. The object accelerates at 7 m/s^2.
To calculate the mass, we rearrange the formula to solve for m:
m = F / a = 110 N / 7 m/s^2 = 15.71 kg
The object's mass is 15.71 kg.
7. A net force of 24.5 N acts on a 7 kg object. a) Calculate the object's acceleration.
Using the formula F = m * a, we can solve for a:
24.5 N = (7 kg) * a
a = 24.5 N / 7 kg = 3.5 m/s^2
The object's acceleration is 3.5 m/s^2.
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