A BOY OF MASS 50KG CLIMBS UP 29 STEPS EACH 20CM HIGH.HOW MUCH WORK IS DONE BY THE BOY (G=10M/S)
work= force*distance=50*g*29*.20 m = ....
To calculate the work done by the boy, we need to find the vertical distance he has climbed. Each step is 20 cm high and he has climbed 29 steps. So, the total vertical distance climbed is:
Vertical distance climbed = height of each step * number of steps climbed
= 20 cm * 29
= 580 cm
Since the given value of acceleration due to gravity (g) is given in m/s², we need to convert the vertical distance into meters:
Vertical distance climbed in meters = 580 cm / 100
= 5.8 meters
Now we can calculate the work done by the boy using the formula:
Work (W) = force (F) * distance (d) * cos(theta)
The force acting on the boy is the force due to gravity, which can be found using the formula:
Force (F) = mass (m) * gravitational acceleration (g)
Given that the mass of the boy is 50 kg and the value of gravitational acceleration is 10 m/s², we can calculate the force:
Force (F) = 50 kg * 10 m/s²
= 500 N
Since the boy is climbing up, the angle between the force and the direction of motion is 0°, so the cosine of 0 is 1. Therefore, the calculation of work becomes:
Work (W) = Force (F) * Vertical distance climbed (d)
Substituting the values we have:
Work (W) = 500 N * 5.8 m
= 2900 joules
Therefore, the work done by the boy is 2900 joules.