Starting from rest, a 98-kg firefighter slides down a fire pole. The average frictional force everted on him by the pole has a magnitude of 720 N, and his speed at the bottom of the pole is 3.8 m/s. How far did he slide down the pole?
You need to make a delta Y chart...
Y= unknown (?)
Vi= 0m/s (because he is starting from rest)
Vf=3.8m/s (bottom of pole)
a= found by using a=Fnet/mass equation below=7.34m/s
t= not needed
a=Fnet (720)/mass (98kg)= 7.34 m/s
To find how far he slid down the pole, you must use the Kinematic Equation that doesn't include time (Vf^2=Vi^2+2a(Y))--> 3.8^2=0^2+(2x7.34)(Y)-->14.44/14.68=14.68(Y)/14.68--> The pole 0.98 meters (3.2 feet)
SZDCCAS
To find the distance the firefighter slid down the pole, we can use the work-energy principle. Here's how you can solve it step by step:
Step 1: Recall the work-energy principle formula:
The work-energy principle states that the work done on an object is equal to its change in kinetic energy. In formula form, it is given as:
Work = Change in kinetic energy
Step 2: Calculate the work done on the firefighter:
The work done by the frictional force can be calculated using the formula:
Work = Force x Distance
Given that the average frictional force is 720 N, and we want to find the distance the firefighter slid down the pole, we can rewrite the formula as:
Work = Frictional force x Distance
Step 3: Substitute the given values:
We know that the frictional force is 720 N and the work done is equivalent to the change in kinetic energy, which can be expressed as:
Work = Change in kinetic energy = (1/2) x mass x (final velocity)^2
Given that the mass of the firefighter is 98 kg and the final velocity is 3.8 m/s, we can substitute these values into the equation:
720 N x Distance = (1/2) x 98 kg x (3.8 m/s)^2
Step 4: Solve for the distance:
Now we can rearrange the equation to solve for Distance, which is the distance the firefighter slid down the pole:
Distance = [(1/2) x 98 kg x (3.8 m/s)^2] / 720 N
By plugging in the values and performing the calculation, you should find the distance the firefighter slid down the pole.