find the power by a man if he runs at constant speed of 5km/h along an ascending road which makes 5 degree with the horizontal if the mass of yhe man is 60 kg.

s=v•t

W=m•g•h=m•g•s•sinα=m•g•v•t•sinα
P=W/t= m•g•v•t•sinα/t= m•g•v•sinα

71.13 watts

To find the power exerted by the man, we need to use the formula:

Power = Force × Velocity

First, let's calculate the force exerted by the man. Since the man is running along an ascending road, we need to consider the component of the force parallel to the road, which will oppose the force of gravity. We can find this component using trigonometry.

The force parallel to the road is given by:

Force_parallel = Mass × Acceleration_parallel

To find the acceleration parallel to the road, we can use the formula:

Acceleration_parallel = Acceleration_due_to_gravity × sin(θ)

Where:
Acceleration_parallel is the acceleration parallel to the road,
Acceleration_due_to_gravity ≈ 9.8 m/s² is the acceleration due to gravity,
θ is the angle the road makes with the horizontal.

Substituting the values into the formula, we have:

Acceleration_parallel = 9.8 m/s² × sin(5°)

Next, we need to convert the speed from km/h to m/s. We can use the conversion factor 1 km/h = 1,000 m/3,600 s.

Speed = 5 km/h × (1,000 m/3,600 s)

Now that we have all the required values, we can calculate the force, and subsequently, the power:

Force_parallel = Mass × Acceleration_parallel
Power = Force_parallel × Speed

Substituting the values into the formulas will give you the solution.