Answer:
To solve this problem, we can use the formula for mechanical advantage:
Mechanical advantage = Output force / Input force
In this case, the input force is 3000 N and the mechanical advantage is 6. We can rearrange the formula to solve for the output force:
Output force = Mechanical advantage x Input force
Output force = 6 x 3000 N
Output force = 18000 N
The output force of 18000 N is equal to the weight of the car being lifted. To find the mass of the car, we can use the formula for weight:
Weight = mass x gravity
where gravity is the acceleration due to gravity, which is approximately 9.81 m/s^2.
Rearranging the formula, we get:
mass = weight / gravity
mass = 18000 N / 9.81 m/s^2
mass ≈ 1835 kg (rounded to the nearest kilogram)
Therefore, the mass of the car being lifted is approximately 1835 kg.