Homework Statement
H3-1 Determine the maximum height on the wall to which the firefighter can project water from the hose if the speed of the water at the nozzle is 20 m/s.
The firefighter stands 18 m away from the wall and holds the nozzle 1.2 m above the ground.
Homework Equations
The...
Pay special attention to the emboldened details. We're told that the child starts behind the truck and is running towards it at constant velocity. Meanwhile, the truck starts at rest ahead of the child and begins accelerating away from the child. Therefore, the child and the truck are both...
Being that your graph has an oblique asymptote, an improper rational function should be the kind of function that comes to mind. By the looks of the graph, as we let x tend toward either \infty or -\infty, the function gets closer and closer in value to a linear function, so we should consider...
Interesting problem. For starters I wrote a program to verify the numbers you mentioned. The computer constructs a random p-digit string to represent a serial number, then picks m random digit characters. It then checks whether all of the m digits picked occur at least once in the string. I ran...
The normal force between the car tire and the road is equal to the car's weight. The normal force does not change when the car starts moving forward since the tire applies a force parallel to the road only.
The horse's legs are not perfectly upright. As I said, they make an angle with the...
When a car starts moving forward, it's because the road applies a forward force on it via static friction with the tires. By Newton's 3rd Law, this force is paired with the backward force the tires exert on the road. This force acts parallel to the road surface since the rubber in contact with...
But the vertical component of the force vector the horse's legs exert on the ground is not equal to the horse's weight. The horse must apply additional force to the ground and therefore additional vertical force to the ground in order to initiate forward motion (besides the case where its hooves...
Before we dive into this, I want you to draw a circle on paper, preferably using a glass with a small, circular base or the inside of a roll of tape as a guide. Then draw a straight line outside of the circle but close to it, preferably using a ruler, making sure to draw it in a direction that...
I'm sorry; I did not realize the horse was pulling a load. That changes things. But assuming there is no load, I do not see how my original approach is inaccurate. The normal force between the horse's hooves and the ground, FN, and the coefficient of static friction between its hooves and the...
It's okay if the graphs do not overlap. Variation in the data is inevitable. What you want to look for is a common trend that all trials seem to follow. If you predicted that the hydrophobic/hydrophillic effect reduced the coefficient of drag, then you would expect force of fluid drag on the...
In order for the horse to start moving forward, a net force must act on it whose horizontal component acts in the forward direction. The horse applies a push force against the ground surface, FH, at the angle \alpha its legs make with the ground. This vector has a horizontal component that acts...
Your foot and the floor are (approximately) rigid bodies in that they do not deform. The cockroach on the other hand is not a rigid body; it deforms relatively easily. As your foot lands on the cockroach, it applies a downward force that propagates through the cells that make up the cockroach...
If you're swimming in standing water (i.e. a pool), then your arms and legs 'push' the water behind you backward, displacing the water backward (and outward as well), so you do positive work on the water. According to Newton's Third Law, the water pushes back on your arms and legs with a force...
The period of a function is the minimum width of an interval such that the value of the function at one of the interval's endpoints is equal to the value at the other endpoint, and the entire range of values that the dependent variable can take on is contained within the interval.
To...