a.) A 125 kg stone has an acceleration of 84.9 m/s2. Determine the net force acting on the stone.
b.) A 45 N force is acting on a 757 kg slab. Determine the acceleration of the slab.
c.) A 63.2 N force acts on a block and causes an acceleration of 85.1 m/s2. Determine the mass of the block.
F = ma
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a.) To determine the net force acting on the stone, you can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The formula is F = m * a, where F is the net force, m is the mass of the stone, and a is the acceleration.
In this case, the mass of the stone is given as 125 kg, and the acceleration is given as 84.9 m/s2. Plugging these values into the formula, we get:
F = (125 kg) * (84.9 m/s2)
F = 10562.5 N
Therefore, the net force acting on the stone is 10562.5 N.
b.) To determine the acceleration of the slab, you can again use Newton's second law of motion. The formula remains the same: F = m * a, where F is the force acting on the slab, m is the mass of the slab, and a is the acceleration.
In this case, the force acting on the slab is given as 45 N, and the mass of the slab is given as 757 kg. Plugging these values into the formula, we get:
45 N = (757 kg) * a
To solve for a, we can divide both sides of the equation by 757 kg:
a = 45 N / 757 kg
a ≈ 0.0594 m/s2
Therefore, the acceleration of the slab is approximately 0.0594 m/s2.
c.) To determine the mass of the block, you can rearrange Newton's second law of motion formula to solve for mass. The formula becomes: m = F / a, where m is the mass of the block, F is the force acting on the block, and a is the acceleration.
In this case, the force acting on the block is given as 63.2 N, and the acceleration is given as 85.1 m/s2. Plugging these values into the formula, we get:
m = 63.2 N / 85.1 m/s2
m ≈ 0.742 kg
Therefore, the mass of the block is approximately 0.742 kg.