High School

You decide to change the mass of the sandbag for the two actors to reduce the acceleration. The mass of the dolly and actors combined is still 94 kg, and the coefficient of kinetic friction between the dolly and the stage floor is 0.20.

If you want the dolly to accelerate at [tex]1.9 \, \text{m/s}^2[/tex], what should the mass of the sandbag be?

Answer :

A 35–40 pound sandbag must be filled halfway to two thirds of the way. The maximum permitted weight for a typical pickup truck is 30 sandbags, or around 1,000 pounds.

What sand bag weighs the most?

Eight various size options for these Strongman Sandbags allow for approximative maximum load capabilities of 25LB or 50LB (for developmental practice or introduction young people to sandbag exercise) or 100, 150, 200, 250, 300, or 400LB (for experienced athletes).

How do you figure out the weight of a volume of sand?

Determine the size of each mineral inside the sand to compute its weight, then multiply that volume by its mass density. The weight of the sand can then be calculated by multiplying the mass of each component element by the regional acceleration of gravity.

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Final answer:

To reduce the acceleration of a dolly and actors with a total mass of 94 kg, apply Newton's second law of motion and the force of kinetic friction to calculate the required mass of the sandbag, considering the normal force and desired acceleration.

Explanation:

To determine the mass of the sandbag required to achieve the desired acceleration of 1.9 m/s² for the dolly and actors combined mass of 94 kg, we need to apply Newton's second law of motion (F = ma) and consider the force of friction acting on the system. The frictional force (Ffriction) can be calculated using the coefficient of kinetic friction (μk = 0.20) and the normal force, which is the weight of the entire system (mass multiplied by gravity, g = 9.8 m/s²).

The frictional force is Ffriction = μk • (mass of dolly and actors + mass of sandbag) • g. Since the only other horizontal force is the tension in the cable pulling the sandbag, which must equal the net force (mass of dolly and actors • desired acceleration), we can set up the equation: tension - Ffriction = (mass of dolly and actors) • desired acceleration.

We can solve for the tension, then rearrange the terms and solve for the mass of the sandbag. Keep in mind that the tension in the cable is equal to the weight of the sandbag (mass of sandbag • g).