Homework Statement
A soccer player kicks a rock horizontally off a cliff 40m high into a pool of water. If the player hears the sound 3 seconds later, what was the initial speed given to the rock? Assume the speed of sound in air to be 343 m/s.
Homework Equations
g=9.8
The Attempt at...
Homework Statement
A ball at the end of a string of length 0.75 m rotates at a constant speed in a horizontal circle. It make 3 rev/s.
What is the period of the ball's motion?
What is the ball's angular velocity?
Homework Equations
w = delta theta/delta t
theta = 2*pi*r/r =...
Homework Statement
Interactive Solution 4.11 offers help in modeling this problem.
Two forces, vector F 1 and vector F 2, act on the 5.00 kg block shown in the drawing. The magnitudes of the forces are F1 = 30.5 N and F2 = 47.5 N. What is the horizontal acceleration (magnitude and direction)...
Homework Statement
The figure shows two objects of masses m(1) and m(2). The horizontal surface allows for frictionless motion. The string ties to the two objects is massless and passes over a massless pulley that rotates without friction. If m(1)=5.63 kg and m(2)=1.57 kg, what is the...
Homework Statement
In the figure below d = 2.6 cm. What is the electric field at the position indicated by the dot in the figure?
Homework Equations
E = charge/4*pi*epsilon_0*distance^2
The figure is on the attachment.
The Attempt at a Solution
I decided to first find only the...
Homework Statement
The problem states: A 0.140 kg block on a frictionless table is firmly attached to one end of a spring with k = 25 N/m. The other end of the spring is anchored to the wall. A 0.023 kg ball is thrown horizontally toward the block with a speed of 5.2 m/s. What is the ball's...
Hi
I am trying to calculate the height of liquid in a cylinder.
I know the dimensions of a cylinder and the volume of liquid.
I know how to calculate the volume for a given height, but i can't flip the equation to get the height.
volume = area * length;
area = r2(θ - Sin[θ])/2...
Homework Statement
Consider the function f(x)=(2+4e^x)/(2+e^x). a) Show that f(x) is increasing for all x. b) Find the horizontal asymptote on the left and right side.
Homework Equations
Use of the lim x->oo to find HA's
The Attempt at a Solution
Seems like an easy question...
Homework Statement
I have a homework that i couldn't do :( can you explain it to me please ?
the problem is :
find all values of x=c so that the tangent line to the graph of f(x) af (c , f(c)) will be horizontal
http://img13.imageshack.us/img13/4222/scan0002izs.jpg
The Attempt...
Homework Statement
A horizontal eavestrough 3m long has a triangular cross section 10 cm across the top and 10 cm deep. During a rainstorm the water in the trough is rising at the rate of 1 cm/min when the depth is 5 cm.
a) How fast is the volume of water in the trough increasing?
b) After...
Homework Statement
When a mass "m" is hung from the centre of a horizontal wire, length "L". How far will the centre of the wire stretch downwards, in terms of m, L, E (youngs modulus) and A (cross sectional area of wire)
Homework Equations
mg = Tcosθ
When m is the mass hung from...
Homework Statement
A 3kg ball moves at constant speed in a horizontal circle on the inside of a cone. The radius of the circle is 2m. Determine the magnitude of the normal force acting on the ball and the time required for the ball to complete exactly one circle. Assume that the surface of the...
A rock is projected from the edge of the top of a building with an initial velocity of 17.1 m/s at an angle of 37degrees above the horizontal. The rock strikes the ground a horizontal distance of 59.7 m from the base of the building. Assume that the ground is level and that the side of the...
Homework Statement
Find the horizontal asymptotes for the following equation:
Homework Equations
f(x) = \sqrt{x^2+4x}-\sqrt{x^2+x}
The Attempt at a Solution
First I factored f(x):
f(x) = \sqrt{x}\sqrt{x+4}-\sqrt{x+1}
Then I conjugated it:
f(x) =...
angular velocity to horizontal??
hey, i was just wondering whether a costant angular velocity can be converted to an equivilant straight horizontal or vertical acceleration as angular velocity is already considered to be a constant acceleration??
Homework Statement
An airplane is flying in a horizontal circle at a speed of 480 km/h (Fig. 6-42). If its wings are tilted at angle θ = 40° to the horizontal, what is the radius of the circle in which the plane is flying? Assume that the required force is provided entirely by an...
Thanks in advance guys, and it does not need to be treated as a high priority question.Homework Statement
This is not so much a homework question, as it is a query about a question that I am getting a wrong answer for (that is to the book's answer).
This is the straight question that the book...
A baseball is hit with a horizontal speed of 16 m/s and a vertical speed of 19 m/s upward. What are these speeds 1 s later?
horizontal speed 16 m/s
vertical speed ? m/s
I figured out that the horizontal speed would still be the same and it was. So i thought that the vertical speed...
Homework Statement
Could someone please explain, in very simple words, the horizontal shift of a graph? I've used the search button, textbooks, and google and I'm just not comprehending this. Why does the graph f(x-1) shift f(x) 1 unit to the right and not left?
Homework Equations...
Homework Statement
Find an equation of the tangent line to this curve at the point (1, -2).
Homework Equations
The Attempt at a Solution
2y' = 3x^2+6x
y' = 3x^2+6x
y'=3/2x^2+3x
y+2=3(x-1)
y+2=3x-3
y=3x-5
Homework Statement
i can't solve it!
im really lost. i know you find f''(x) (i got 9e^3x +12) but i don't know where to go from there
what would i do on my calculator?
Homework Statement
Tom throws a ball of a cliff 45m nigh, with a velocity of 30 m/s. Take accleration due to gravity as 10m/s. (It took 4.5s to reach the bottom)
What was its horizontal and verticle velocitys when it hit the ground?
i used the first equation (v=u+at) and with substituion...
I just lit a stick of incense. I observed that before the flame snuffed out, it consisted both of a vertical and a thinner horizontal flame. The horizontal flame was exactly perpendicular to the vertical one. It kept to a straight line and did not rise at all. Before I could photograph the...
I seem to be having a lot of difficulty finding whether for a horizontal asymptote, whether the curve approaches the asymptote from above or below.
For example, for the problem y = \frac{6x + 1}{1 - 2x}, I know that:
For the vertical asymptote, x = 1/2, and that \lim_{x \to...
Homework Statement
An airplane releases a spacecraft , after 2 seconds the spacecraft s engine starts providing it with a horizontal velocity of 6m/s relative to the aircraft. What is the magnitude and direction of the velocity after 2 seconds? After 3? Assume the spacecraft is in...
Homework Statement
In Figure 5-50a, a constant horizontal force F->a is applied to block A, which pushes against block B with a 23.0 N force directed horizontally to the right. In Figure 5-48b, the same force is applied to block B; now block A pushes on block B with a 11.0 N force directed...
I have this question from my book I really don't understand what they are asking for;
A spring loaded gun is aimed horizontally and is used to launch two kind of weight of balls with different initial speeds and gravitational accelerations. The Gun is fixed position above the floor. The balls...
Homework Statement
On takeoff, the combined action of the engines and wings exerts an 8000 N force on the plane, directed upward at an angle of 65 degrees above the horizontal. The plane rises with constant velocity in the vertical direction while continuing to accelerate in the horizontal...
Homework Statement
A rock is thrown at an angle of 17 degrees above the horizontal at 28.5 m/s, from the ground.
a)How high will the rock rise above the ground?
b)What is the horizontal speed of the rock at the top of its flight?
c) How long will it take the rock to reach a vertical...
Hi All,
Thanks in Advance.Need help on maths related to angular motion.We have a device that returns the acceleration in ax,ay,az for motion along a curve.we are trying to calculate the
angle using these acceleration values and the radius (which is fix in our case).
Below is what we are...
I'm currently enrolled in College Algebra, and it is possible that I'm making too much out this; however, this is bugging me a bit and I can't quite get my head around it. I understand how to perform the various shifts and stretches of the graph of a function, but I'm trying to reach a better...
Homework Statement
A log is floating on swiftly moving water. A stone is dropped from rest from a 75-m high bridge and lands on the log as it passes under the bridge. If the log moves with a constant speed of 5.0 m/s, what is the horizontal distance between the log and the bridge when the...
Homework Statement
Two blocks on a frictionless horizontal surface are connected together by a massless string. A second massless string is attached to the block of mass m2, as shown. Suppose you pull on this second string with a horizontal force directed to the right.
Determine the ratio...
Homework Statement
Two blocks connected by a rope of negligible mass are being dragged by a horizontal force Fvec. Suppose Fvec = 70.0 N, m1 = 11.0 kg, m2 = 26.0 kg, and the coefficient of kinetic friction between each block and the surface is 0.100.
Determine the tension T.
Diagram: [ m1 ]...
Homework Statement
One end of a horizontal string of linear density 4.7 multiplied by 10-4 kg/m is attached to a small-amplitude mechanical 58 Hz vibrator. The string passes over a pulley, a distance L = 1.50 m away, and weights are hung from this end, Fig. 11-48. Assume the string at the...
Homework Statement
A particle of mass m is moving on a frictionless horizontal table, attached to a massless string, the other end of which passes through a hole in the table. It was rotating with angular velocity \omega_0, at a distance r_0 from the hole. Assuming that I pull the string so...
Homework Statement
4x - 2xy = 0
how do i solve for EITHER x or y?
Homework Equations
The Attempt at a Solution
i got y = 2 at first but when i plugged it into the original equation to find x it was impossible to get an answer (the x's canceled out)
Homework Statement
If a plane 8500m in the air is traveling with a horizontal speed of 483km/hr when a capsule is released, what is the horizontal distance between the point at which the capsule is released and the point at which the capsule strikes the ground.
Homework Equations...
Homework Statement
The beam is 4.0 m long and has a mass of 14.0 kg. If the beam makes an angle of 41.0 degrees with the wall, what is the tension in the cable?
The attachment is the picture to go along with visualizing the problem.
Homework Equations
sum forces = 0
sum torqes = 0
The...
Homework Statement
A horizontal force F pushes a block of weight 5.0 N aganist a vertical wall. The coefficient of static friction between the wall and the block is 0.25. The force F is the minimum required to hold the block in place.
Find the magnitude of the net force on the block by the...
Seen as i had difficulty understanding this little topic and with my AS level exam soon, i figured i should find somewhere to ask without having to wait while class, so here goes...
I had some questions to do (but this isn't about homework!) i couldn't seem to be able to get the right answer...
Homework Statement
Two sets of parallel plates can be used to accelerate and direct an electron. the first set of plates is arranged vertically. the distance separating these plates is 5.5 cm . the potential difference between these plates is 260V. the electron starts from rest on the left...
Homework Statement
I'm comparing horizontal block-spring systems on frictionless table and need to rank the time it takes for the block to return to equilibrium position. I know the rank of the net forces, so I'm wondering if the greater the acceleration, the quicker the restoring time? If...
Homework Statement
A ball on a string moves in a vertical circle of radius R at a constant speed with a centripetal acceleration a. At its
lowest point, the ball is a negligible height above the ground. After several revolutions, the string breaks at the highest
point in the motion. In terms...