if it takes 726 watts of power to move a mass 36 meters in 14 seeconds, what is the mass?
i really need like, step by step help please? asap.
thanks, michelle .
power= work/time= mass*g*distance/time
mass= power*time/distance*g
so... would it be like,
726 x 14 / 36 ?
To find the mass, we can use the formula for work:
Work = Force × Distance
We know that Power is the rate at which work is done. The formula for power is:
Power = Work / Time
We can rearrange this equation to solve for Work:
Work = Power × Time
Given that it takes 726 watts of power to move the mass 36 meters in 14 seconds, we can substitute the values into the equation:
Work = (726 watts) × (14 seconds) = 10164 joules
Now, let's go back to the original equation for work:
Work = Force × Distance
Since we already have the value for work and the distance, we can now solve for force:
10164 joules = Force × 36 meters
Now divide both sides of the equation by 36 meters:
Force = 10164 joules / 36 meters = 282.33 newtons
Finally, we can use Newton's second law, which states that force is equal to mass multiplied by acceleration:
Force = Mass × Acceleration
Since we have the force (282.33 newtons), we can rearrange the equation to solve for mass:
Mass = Force / Acceleration
Acceleration in this case can be calculated using the formula:
Acceleration = Distance / Time^2
Substituting the known values:
Acceleration = 36 meters / (14 seconds)^2 = 0.183 m/s²
Now we can find the mass:
Mass = 282.33 newtons / 0.183 m/s² = 1544.26 kg
Therefore, the mass is approximately 1544.26 kg.
To find the mass of an object using the given information, we can use the formula for power:
Power (P) = Force (F) x Velocity (v)
In this case, we know the power is 726 watts, the distance moved is 36 meters, and the time taken is 14 seconds. However, we need to find the force (F) in order to proceed.
We can use the equation for work:
Work (W) = Force (F) x Distance (d)
Since power is the rate at which work is done, we can relate power to work and time:
Power (P) = Work (W) / Time (t)
Rearranging the equation, we get:
Work (W) = Power (P) x Time (t)
Substituting the values we know:
Work (W) = 726 watts x 14 seconds
Now, we know that work is equal to force multiplied by the distance, so we can write:
Force (F) x Distance (d) = 726 watts x 14 seconds
Since the distance is given as 36 meters, we can substitute that value:
Force (F) x 36 meters = 726 watts x 14 seconds
Now we can solve for force:
Force (F) = (726 watts x 14 seconds) / 36 meters
Evaluating this expression, we find:
Force (F) = 282.67 Newtons
Finally, we can relate force to mass using Newton's second law of motion:
Force (F) = Mass (m) x Acceleration (a)
In this case, acceleration can be calculated by dividing the change in velocity by the time taken:
Acceleration (a) = Change in Velocity / Time (t)
Since we have no information about the change in velocity, we will assume it is zero, and therefore the acceleration is also zero.
Substituting these values, we get:
282.67 Newtons = Mass (m) x 0
Hence, the mass of the object cannot be determined using the given information.