a student wo weighs 500 newtons climbed the stairs from the first floor to the third floor 15 meters above in 20 seconds
A.how much work did she do?
B.what was her power
work=500*15 joules
power=work/timeinseconds
To calculate the work done by the student, we can use the formula:
Work = Force × Distance
A. Work = 500 N × 15 m = 7500 Joules
Therefore, the student did 7500 Joules of work.
To calculate the power, we can use the formula:
Power = Work / Time
B. Power = 7500 J / 20 s = 375 Watts
Therefore, the student had a power of 375 Watts.
To calculate the work done by the student in climbing the stairs, we can use the formula:
Work = Force × Distance
A. First, we need to determine the force exerted by the student. The force can be calculated using the student's weight, which is given as 500 newtons. Since the student is climbing upwards, the force exerted is equal to the weight (500 N) minus the force opposing the motion, which is the force of gravity pulling the student downward. Therefore, the force exerted by the student is still 500 N.
Next, we need to find the distance traveled by the student. It is given in the question that the student climbed from the first floor to the third floor, which is a vertical distance of 15 meters.
Now, we can calculate the work done:
Work = Force × Distance
= 500 N × 15 m
= 7500 Joules (J)
Therefore, the student did 7500 Joules of work in climbing the stairs.
B. Power is the rate at which work is done or the work done per unit time. It can be calculated using the formula:
Power = Work / Time
In this case, we already know the work done (7500 J) and the time taken (20 seconds). Now we can calculate the power:
Power = 7500 J / 20 s
= 375 Watts (W)
Therefore, the student's power in climbing the stairs was 375 watts.