An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. a. Determine the net force acting on the object and b. calculate the acceleration of the object.
Question
An object of mass 30 kg is falling in air and experiences a force due to air resistance of 50 newtons. a. Determine the net force acting on the object and b. calculate the acceleration of the object.
Solution
a. To determine the net force acting on the object, we first need to calculate the force of gravity. The force of gravity (weight) can be calculated using the formula:
F_gravity = mass * g
where:
- mass = 30 kg (given in the problem)
- g = 9.8 m/s² (acceleration due to gravity)
So,
F_gravity = 30 kg * 9.8 m/s² = 294 N
The net force is the difference between the force of gravity and the force due to air resistance. So,
F_net = F_gravity - F_air_resistance
where:
- F_air_resistance = 50 N (given in the problem)
So,
F_net = 294 N - 50 N = 244 N
b. To calculate the acceleration of the object, we use Newton's second law, which states that the acceleration of an object is the net force acting on it divided by its mass. So,
a = F_net / mass
Substituting the values we have,
a = 244 N / 30 kg = 8.13 m/s²
So, the acceleration of the object is 8.13 m/s².
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