A 6.50 horsepower self propelled lawn mower is able to travel at 0.56 m/s, starting from rest, in 0.050 s. If the lawn mower has a mass of 48.0 kg, what distance does the lawnmower travel in that time? (1 hp = 746 W)
V = Vo + a*t.
0.56 = 0 + a*0.05,
a = ?
d = 0.5a*t^2.
To find the distance the lawn mower travels in that time, we need to use the equation for distance:
distance = initial velocity * time + 0.5 * acceleration * time^2
First, let's convert the horsepower to watts. Since 1 horsepower is equal to 746 watts, we can calculate the power of the lawn mower:
power = 6.50 hp * 746 W/hp
Next, we can calculate the acceleration using the power and the mass:
acceleration = power / mass
Now, we can substitute the given values into the equation to find the distance:
distance = 0 * 0.050 + 0.5 * acceleration * (0.050)^2
Finally, compute the distance using the calculated values:
distance = 0 + 0.5 * acceleration * 0.0025
Since acceleration was already calculated and time is given, we can substitute them into the equation:
distance = 0.5 * (power / mass) * 0.0025
After evaluating this expression, you will find the distance traveled by the lawn mower in that time.