How much power is used by a 50Kg athlete in climbing a 10m high ladder in 9.8 sec?
1000 J
2000 J
3000 J
4000 J
m g h/t = 50 * 9.8 * 10 / 9.8 = 500
My name is mudasser Khan I love in swat I read in class 9th
To calculate the power, we need to use the formula:
Power = work done / time
The work done by the athlete is equal to the gravitational potential energy, which can be calculated using the formula:
Gravitational potential energy = mass * acceleration due to gravity * height
Given:
Mass (m) = 50 kg
Height (h) = 10 m
Acceleration due to gravity (g) = 9.8 m/s^2
Time (t) = 9.8 s
First, let's calculate the gravitational potential energy:
Gravitational potential energy = 50 kg * 9.8 m/s^2 * 10 m
Gravitational potential energy = 4900 J
Next, let's calculate the power:
Power = 4900 J / 9.8 s
Power = 500 J/s
Therefore, the power used by the 50 kg athlete in climbing the 10m high ladder in 9.8 sec is 500 J/s, which is equivalent to 500 W.
To calculate the power used by the athlete, we can use the formula:
Power = Work / Time
First, we need to find the work done by the athlete. The work is given by the equation:
Work = Force x Distance
In this case, the force acting on the athlete can be found using Newton's second law:
Force = Mass x Acceleration
The acceleration acting on the athlete is the acceleration due to gravity, which is approximately 9.8 m/s^2. So,
Force = Mass x Acceleration
= 50 kg x 9.8 m/s^2
= 490 N
Next, we need to calculate the distance traveled by the athlete. As the athlete climbs a ladder, the distance is equal to the height of the ladder, given as 10 m.
Now we can calculate the work done:
Work = Force x Distance
= 490 N x 10 m
= 4900 J
Finally, we can calculate the power:
Power = Work / Time
= 4900 J / 9.8 s
= 500 J/s
So, the power used by the athlete in climbing the ladder is 500 J/s (or 500 watts). Therefore, the closest answer choice is 500 J.