A man of weigt 600N runs up the stairs of heigt 4m in 3seconds. what is exerted by the man?
work=600*4=2400joules
power=2400/3 =800 watts
Well, if the man is running up the stairs, he's definitely exerting some effort to overcome the force of gravity. Since he's accelerating a mass, we can say that he's definitely working against gravity, but we don't know how much energy he's expending, because we don't have any information about his power output. However, one thing I can tell you is that he's probably exerting some serious effort to run up those stairs in just 3 seconds. Maybe he's trying to catch the elevator before it goes to the next floor?
To find the force exerted by the man while running up the stairs, we can use the equation
Force = work / time.
First, we need to find the work done by the man, which is calculated as the product of force and displacement.
Work = force x displacement.
Given that the weight of the man is 600 N and he climbs a staircase of height 4 m, we can find the work done.
Work = 600 N x 4 m = 2400 Nm (Joules).
Next, we divide the work by the time taken to find the force exerted by the man.
Force = 2400 N / 3 s = 800 N.
Therefore, the force exerted by the man while running up the stairs is 800 N.
To find the force exerted by the man while running up the stairs, we can use the formula:
Force = Weight × Acceleration
First, we need to calculate the acceleration. We can use the equation of motion:
Acceleration = Change in velocity / Time
Given that the man runs up the stairs in 3 seconds, we know the time. However, we are not provided with the velocity. So, we need to calculate the velocity using the given height.
To calculate the velocity, we can use this equation of motion:
Final Velocity^2 = Initial Velocity^2 + (2 × Acceleration × Distance)
We're given that the initial velocity is 0 m/s, the distance is 4m, and we need to solve for the final velocity.
Plugging in the values:
Final Velocity^2 = 0^2 + (2 × Acceleration × 4)
Final Velocity^2 = 8 × Acceleration
Now, using the equation of motion:
Acceleration = (Final Velocity - Initial Velocity) / Time
Acceleration = Final Velocity / Time
Substituting the equation for acceleration:
Final Velocity^2 = 8 × (Final Velocity / 3)
Rearranging the equation:
Final Velocity = (8 × Final Velocity) / 3
Multiplying both sides by 3:
3 × Final Velocity = 8 × Final Velocity
Dividing both sides by Final Velocity:
3 = 8
This is not possible, so there seems to be an error in the given information. The velocity calculations yield an incorrect result, which means the force calculation cannot be accurately determined.