A shotputter accelerates a 7.3kg shot from rest to 14m/s. If this motion takes 2.0s what average power was developed?
Final kinetic energy divided by the time interval during which force was applied (2 s) is the average power.
P = (1/2)(7.3)(14)^2/2.0 Watts
Well, let me do some quick calculations while keeping in mind that I'm not so good with numbers.
To find the average power developed, we can use the equation P = W/t, where P is power, W is work, and t is time.
The work done can be calculated using the equation W = (1/2)mv², where m is mass and v is velocity.
Plugging in the numbers, we get W = (1/2)(7.3kg)(14m/s)².
Now, let's calculate the work done:
W = (1/2)(7.3kg)(196m²/s²) = 678.4 J
Since the motion took 2.0 seconds, we can calculate the average power developed:
P = 678.4 J / 2.0 s = 339.2 W
So, the average power developed by our shotputter is 339.2 Watts. That's a lot of power! They must have taken their pre-game spinach.
To find the average power developed by the shotputter, we can use the formula:
Power = Work / Time
First, let's find the work done:
The work done (W) is equal to the change in kinetic energy (ΔKE), which can be calculated using the formula:
ΔKE = (1/2) * m * (v^2 - u^2)
Where:
m = mass of the shot = 7.3 kg
v = final velocity = 14 m/s
u = initial velocity (since the shot starts from rest, u = 0 m/s)
Now let's calculate ΔKE:
ΔKE = (1/2) * 7.3 kg * (14^2 - 0^2)
= (1/2) * 7.3 kg * 196
= 6766 J
The time taken (t) is given as 2.0 seconds.
Now, let's calculate the average power:
Power = Work / Time
= 6766 J / 2.0 s
= 3383 W
Therefore, the average power developed by the shotputter is 3383 Watts.
To find the average power developed by the shot putter, we need to use the formula for power:
Power = Work / Time
First, let's find the work done by the shot putter. The work done is equal to the change in kinetic energy of the shot. The formula for kinetic energy is:
Kinetic energy = 0.5 * Mass * Velocity^2
Initial kinetic energy (E1) is 0 since the shot is at rest initially. Final kinetic energy (E2) can be calculated using the given mass (m = 7.3 kg) and final velocity (v = 14 m/s):
E2 = 0.5 * m * v^2
Next, let's calculate the time taken (t = 2.0 s).
Now we can substitute all these values into the formula for power to find the average power developed by the shot putter:
Power = (E2 - E1) / t
Since E1 is 0, this simplifies to:
Power = E2 / t
Substituting the values:
Power = (0.5 * m * v^2) / t
Now, we can calculate the average power:
Power = (0.5 * 7.3 kg * (14 m/s)^2) / 2.0 s
Calculating this expression will give us the average power developed by the shot putter.