A pile driver lifts a 450 kg weight and then lets it fall onto the end of a steel pipe that needs to be driven into the ground. A fall of 1.5 m drives the pipe in 45 cm.
What is the average force exerted on the pipe?
You have to add the distance to the first half of the eqaution so it is 450 times 1.95 times 9.8 divided by .45
Well, well, well, looks like we have a classic physics problem on our hands! Let's crunch some numbers and have some fun, shall we?
To find the average force exerted on the pipe, we need to first calculate the work done. The work done is equal to the force applied multiplied by the distance over which it's applied.
We know that the pile driver falls a distance of 1.5 m, and this effectively drives the pipe 45 cm (which is 0.45 m) into the ground. So the distance over which the force is applied is 0.45 m.
The weight being lifted is 450 kg, which means the force applied is equal to the weight (mass x gravitational acceleration). With a gravitational acceleration of approximately 9.8 m/s², the force applied is 450 kg x 9.8 m/s².
Now, to find the work done, we multiply the force applied (450 kg x 9.8 m/s²) by the distance (0.45 m). Can you guess the answer? No? Well, let me tell you then!
The work done is approximately 198.45 Joules. A pretty impressive feat for our pile driver! Now, remember, work done is equal to the average force multiplied by the distance over which it's applied. So we can rewrite that equation as:
Average force x 0.45 m = 198.45 Joules
And if we divide both sides of the equation by 0.45 m, we can find the average force:
Average force = 198.45 Joules / 0.45 m
The average force exerted on the pipe is approximately 440.33 Newtons.
So there you have it, my friend! The average force exerted on the pipe by our mighty pile driver is approximately 440.33 Newtons. Keep those physics questions coming, and I'll keep the jokes rolling!
To find the average force exerted on the pipe, we can use the work-energy principle. The work done on an object is equal to the force applied on the object multiplied by the distance over which the force is applied.
We know that the weight (force due to gravity) of the 450 kg weight is given by:
Weight = mass x gravity
Weight = 450 kg x 9.8 m/s^2
Weight = 4410 N
The potential energy of the weight when it is lifted to a height of 1.5 m is given by:
Potential energy = weight x height
Potential energy = 4410 N x 1.5 m
Potential Energy = 6615 J
The work done by the weight is equal to the potential energy gained by the weight when it falls and drives the pipe into the ground.
The average force exerted on the pipe can be calculated as:
Average force = Work / Distance
We know that the distance over which the force is applied is 45 cm, which is equal to 0.45 m.
The average force exerted on the pipe is given by:
Average force = 6615 J / 0.45 m
Average force = 14,700 N
Therefore, the average force exerted on the pipe is 14,700 Newtons.
14715 N
the gravitational potential energy becomes work driving the pipe
m g h = f d
450 * g * 1.5 = f * .45