To solve this problem, we need to calculate the work done by the player and then divide it by the time to get the power.

Step 1: Calculate the work done
Work done is given by the formula W = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

In this case, we know the distance along the stairs (83 m) and the angle of inclination (33°). We can use these to calculate the height using the formula h = d * sin(θ), where d is the distance and θ is the angle.

So, h = 83 m * sin(33°) = 45.3 m (approx)

Now, we can calculate the work done. Let's take g = 9.8 m/s² (approx). So,

W = mgh = 82 kg * 9.8 m/s² * 45.3 m = 36,400 J (approx)

Step 2: Calculate the power
Power is given by the formula P = W/t, where W is the work done and t is the time.

So, P = 36,400 J / 75 s = 485.3 W (approx)

So, the player's average power output on the way up is approximately 485.3 W.

Question

To solve this problem, we need to calculate the work done by the player and then divide it by the time to get the power.

Step 1: Calculate the work done
Work done is given by the formula W = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

In this case, we know the distance along the stairs (83 m) and the angle of inclination (33°). We can use these to calculate the height using the formula h = d * sin(θ), where d is the distance and θ is the angle.

So, h = 83 m * sin(33°) = 45.3 m (approx)

Now, we can calculate the work done. Let's take g = 9.8 m/s² (approx). So,

W = mgh = 82 kg * 9.8 m/s² * 45.3 m = 36,400 J (approx)

Step 2: Calculate the power
Power is given by the formula P = W/t, where W is the work done and t is the time.

So, P = 36,400 J / 75 s = 485.3 W (approx)

So, the player's average power output on the way up is approximately 485.3 W.

Knowee AI · Accepted Answer

To solve this problem, we need to calculate the work done by the player and then divide it by the time to get the power.

Step 1: Calculate the work done
Work done is given by the formula W = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

In this case, we know the distance along the stairs (83 m) and the angle of inclination (33°). We can use these to calculate the height using the formula h = d * sin(θ), where d is the distance and θ is the angle.

So, h = 83 m * sin(33°) = 45.3 m (approx)

Now, we can calculate the work done. Let's take g = 9.8 m/s² (approx). So,

W = mgh = 82 kg * 9.8 m/s² * 45.3 m = 36,400 J (approx)

Step 2: Calculate the power
Power is given by the formula P = W/t, where W is the work done and t is the time.

So, P = 36,400 J / 75 s = 485.3 W (approx)

So, the player's average power output on the way up is approximately 485.3 W.

During a workout, football players ran up the stadiumstairs in 75 s. The distance along the stairs is 83 m and theyare inclined at a 33° angle. If a player has a mass of 82 kg,estimate his average power output on the way up. Ignorefriction and air resistance

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