Question

A stone of mass 0.49 kg is accelerated upward at a rate of 1.5 m/s. What force is applied to make this happen,

Answer 1

Answer on Question #42639, Physics, Mechanics | Kinematics | Dynamics

Question:

A stone of mass $0.49\ \mathrm{kg}$ is accelerated upward at a rate of $1.5\ \mathrm{m/s}$. What force is applied to make this happen?

Answer:

Newton’s second law of motion:

The acceleration of a body is directly proportional to, and in the same direction as, the net force acting on the body, and inversely proportional to its mass:

$$F_{net} = ma$$

Net force acting on the body equals:

$$F_{net} = F - mg$$

where $mg$ is gravitational force.

Therefore:

$$F - mg = ma$$ $$F = m(a + g) = 0.49(1.5 + 9.8)kg \cdot \frac{m}{s^2} = 5.5\ N$$

Answer: $5.5\ N$

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