what is the mass of a Bob who fell with a force of 5N from the top of a tree
if a work of 100j is done by a box through a distance of 5m calculate the weight of the box
F = ma, so 5=9.8m
work = weight*distance, so 100 = 5*weight
9.8? how
weight = mg
g = 9.8 m/s^2, remember?
To determine the mass of Bob who fell with a force of 5N from the top of a tree, we need to use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.
First, we need to determine the acceleration experienced by Bob during the fall. The acceleration due to gravity on Earth is approximately 9.8 m/s². Since Bob is falling, we can assume that his acceleration is equal to this value.
So, using the formula F = ma, where F is the force, m is the mass, and a is the acceleration, we can rearrange the formula to solve for mass (m).
Therefore, m = F / a
m = 5N / 9.8 m/s²
m ≈ 0.51 kg
Hence, the mass of Bob who fell with a force of 5N from the top of the tree is approximately 0.51 kg.
Moving on to the next question, to calculate the weight of the box, we need to use the formula for work.
Work (W) is equal to force (F) multiplied by distance (d) traveled in the same direction as the force applied. The weight of an object is the force with which it is pulled towards the center of the Earth and can be calculated using the formula:
Work = force (F) * distance (d) * cos(θ)
Where θ represents the angle between the force and the displacement vector.
However, in this case, we are given the work done (100 J) and the distance (5m), but not the angle. Assuming the force and displacement are aligned in the same direction, we can simplify the equation to:
Work = force (F) * distance (d)
Therefore, rearranging the formula to solve for force (F):
Force (F) = Work (W) / Distance (d)
F = 100 J / 5 m
F = 20 N
Hence, the weight of the box is approximately 20 Newtons.