A 4.36 × 10−5 kg raindrop falls vertically at
constant speed under the influence of gravity
and air resistance.
After the drop has fallen 88.1 m, what is
the work done by gravity? The acceleration
of gravity is 9.8 m/s2 .
Answer in units of J
What is the work done by air resistance?
Answer in units of J
To find the work done by gravity, we can use the formula:
Work = Force x Distance
The force due to gravity can be calculated using the formula:
Force = Mass x Acceleration
Given:
Mass of the raindrop = 4.36 × 10^-5 kg
Acceleration due to gravity = 9.8 m/s^2
Distance fallen = 88.1 m
First, let's calculate the force due to gravity:
Force = Mass x Acceleration
Force = 4.36 × 10^-5 kg x 9.8 m/s^2
Next, we can calculate the work done by gravity using the force and the distance fallen:
Work = Force x Distance
Work = (4.36 × 10^-5 kg x 9.8 m/s^2) x 88.1 m
Calculating this will give us the work done by gravity.
To find the work done by gravity, we can use the formula:
Work = force × distance
In this case, the force is the weight of the raindrop, which can be calculated using the formula:
Weight = mass × acceleration due to gravity
The mass of the raindrop is given as 4.36 × 10^(-5) kg, and the acceleration due to gravity is 9.8 m/s^2. Plugging these values into the formula, we can find the weight:
Weight = (4.36 × 10^(-5) kg) × (9.8 m/s^2)
Now, to calculate the work done by gravity, we multiply the weight by the distance the raindrop has fallen, which is given as 88.1 m:
Work_gravity = Weight × distance
Work_gravity = [(4.36 × 10^(-5) kg) × (9.8 m/s^2)] × 88.1 m
Once you calculate this expression, you will get the answer in joules (J), which is the unit for work.
To find the work done by air resistance, we need to take into account that the raindrop is falling at a constant speed. Since the raindrop is not accelerating, the net force on it must be zero, meaning that the force of air resistance is equal and opposite to the force of gravity. Therefore, the work done by air resistance is zero.