Question

If the suspended object moves downward a distance of 3.30 m in 1.95 s , what is the mass of the wheel?

a) 1.69 kg
b) 2.45 kg
c) 4.12 kg
d) 5.34 kg

Answer 1

To find the mass of the wheel, use Newton's second law by calculating the weight and acceleration of the object. Then rearrange the formula to solve for mass.

Step-by-step explanation:

To find the mass of the wheel, we can use Newton's second law, which states that force is equal to mass times acceleration. In this case, the force is the weight of the object, which is given by the formula weight = mass x gravity. The acceleration is given by the formula acceleration = distance / time^2. We can rearrange the formula for force to solve for mass: mass = force / gravity. Plugging in the values, we have mass = (weight / gravity) = (distance / time^2) / gravity.

Given that the distance is 3.3 m, the time is 1.95 s, and gravity is 9.8 m/s^2, we can calculate the mass of the wheel as follows:

mass = (3.3 m / (1.95 s)^2) / 9.8 m/s^2 = 0.181 kg.

Therefore, the mass of the wheel is approximately 0.181 kg, which is not one of the given options.