Assuming a force of 50 N is applied to each object by each contestant, what is the acceleration of object A?_ B?_C?_ ( Person A's object is 5.0kg, person B's object is 2.5kg and C's is 0.5kg
F/M=A
So A=50/5.0 ? Am I correct ?
so the answer would be 10.0 ?
yes, add units. acceleration is 10m/s^2
To find the acceleration of each object, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. Mathematically, we can express this as:
\(\text{acceleration} = \frac{\text{net force}}{\text{mass}}\)
Given that each contestant applies a force of 50 N to their respective objects, and we know the masses of the objects (A = 5.0 kg, B = 2.5 kg, and C = 0.5 kg), we can calculate the acceleration of each object.
For object A:
\( \text{acceleration}_A = \frac{50 \, \text{N}}{5.0 \, \text{kg}}\)
\( \text{acceleration}_A = 10 \, \text{m/s}^2\)
For object B:
\( \text{acceleration}_B = \frac{50 \, \text{N}}{2.5 \, \text{kg}}\)
\( \text{acceleration}_B = 20 \, \text{m/s}^2\)
For object C:
\( \text{acceleration}_C = \frac{50 \, \text{N}}{0.5 \, \text{kg}}\)
\( \text{acceleration}_C = 100 \, \text{m/s}^2\)
Therefore, the acceleration of object A is 10 m/s², the acceleration of object B is 20 m/s², and the acceleration of object C is 100 m/s².