Homework Statement
A shotputter projects the shot at 42 degrees to the horizontal from a height of 2.1 m. It lands 17 m away horizontally. Next, he gives it the same initial speed but changes the angle to 40 degrees. What effect does this have on the horizontal range?
Homework...
Initial Acceleration?
The force exerted by the wind on a sailboat is approximately perpendicular to the sail and proportional to the component of the wind velocity perpendicular to the sail. For the 950-kg sailboat shown in the figure below, the proportionality constant is
Water exerts a...
Homework Statement
The acceleration of a particle is given by a_{x}(t)= - 1.94 m/s2 +( 3.05 m/s3 )t.
Find the initial velocity v_{0x} such that the particle will have the same x-coordinate at time t= 4.00 s as it had at t=0.
Homework Equations
vx= v0x + the integral ax dt
The...
Homework Statement
Find the initial velocity of a ball with the time=2.58 seconds and distance of 9.87 meters
Homework Equations
vi=v-at
The Attempt at a Solution
I don't understand how to find the acceleration with just time and distance is it just 9.8 m^3/second?
Homework Statement
What I'm supposed to do is to rearrange the this formula -16t^2+Vt+h and solve it for V.
V= Initial Velocity t= time (throwing the ball in a parabolic arc) h= height
I know what the height is and it is 6ft. I also have the time which is 2.03 seconds.
How do I rearrange...
I have not learned of any evidence that would help me decide between these two theories:
1. The big bang was an explosion of an object smaller than an atom.
2. The big bang was an explosion of an object larger than a base ball.
Does our current technology permit us to find such evidence...
What formula would I use to find the initial velocity?
An object is thrown vertically into the air and reaches a height of 30.0 m. Neglecting air friction, what was the object’s initial velocity?
I don't quite remember how to do this. Is it 30.0m / 9.81[m/s]^2?
I am trying to find the initial velocity of a soccer ball ,
but I found this equation and do not understand how it came about:
[PLAIN]http://superforbrain.com/files/vBall.PNG
This is supposed to give you the velocity of the ball right after its kicked, using the mass of your leg, velocity of...
Hallo Every one,
Homework Statement
y(x,t)=sin(x)cos(ct)+(1/c)cos(x)sin(ct)
Boundary Condition:
y(0,t)=y(2pi,t)=(1/c)sin(ct) fot t>0
Initial Condition :
y(x,0)=sin(x),( partial y / Partial t ) (x,0) = cos(x) for 0<x<2pi
show that y(x,t)=sin(x)cos(ct)+(1/c)cos(x)sin(ct)...
Hello, this may be a rather simple question but it's beginning to irritate me: If I were launching a marble of, say, 10g (0.010 kg) from a marble launcher with a force of 5N (tell me if this is realistic or not) at an angle of 15 degrees then how would I go about finding the initial velocity of...
Homework Statement
A student doing an experiment pours 0.150 kg of heated copper **** into a 0.375 kg aluminum calorimeter cup containing 0.200 kg of water. The cup and water are both initially at 25 C. The mixture (and the cup) comes to thermal equilibrium at 28 C. What was the initial...
A golf ball is hit and makes a 45o angle with the horizontal as it leaves the tee. It lands 200 m away. What was the ball’s initial speed?
I though i know this well but i don't even know how to set this up
Homework Statement
Part a.) You launch a 0.5 kg water balloon with a spring cannon in order to his someone 20m away. The spring in the cannon has a spring constant of 350 N/m. The spring cannon fires the balloon at a 30 degree angle with respect to the ground. What is the initial velocity...
Homework Statement
8.0 g of aluminum at 200 C and 22 g of copper are dropped into 55 cm^3 of ethyl alcohol at 15 C. The temperature quickly comes to 28 C. What was the initial temperature of the copper?Homework Equations
The Attempt at a Solution
tried using calorimetry equations, not getting...
Homework Statement
Solve the following initial value problem. Sketch the solution and describe its behavior
as t increases.
y'' + 4y' + 3y = 0
y(0) = 2
y'(0) = -1
1st i solved the characteristic:
r^2 + 4r + 3 = 0
r = -1
r = -3
then the general solution is;
y = c_1e^-x +...
Homework Statement
Suppose we know that B(\vec x ,t) is a solution to Maxwell's equations in vacuum and furthermore we know that E(\vec x , 0)=E_0.
How do we find E(\vec x , t)?
Homework Equations
\nabla \cdot E = 0.
\nabla \cdot B =0.
\vec \nabla \times \vec B = \left ( \frac{-1}{c}...
Homework Statement
A uniform rod of length 1.25 m is attached to a frictionless pivot at one end. It is released from rest from an angle θ = 23.0° above the horizontal.
Find the magnitude of the initial acceleration of the rod's center of mass.
I keep getting the wrong answer...
An object is thrown vertically into the air and reaches a height of 30.0 m. Neglecting air friction, what was the object’s initial velocity?
What would the equation be for this question?
I know that:
Height: 30.0m
Gravity: 9.81m/s
I'm not quite sure what else I need to figure this...
1. Homework Statement [/b]
Bullet B weighs 0.5 oz and blocks A and C both weigh 3 lb. The coeffient of friction between the block and the plane is \muk = .25. Initially the bullet is moving at v0 and blocks A and B are at rest. After the bullet passes through A it becomes embedded in block C...
Hi guys! We started integral word problems today. I am very confused and could use some help with the following;
A particle is moving along a straight line accelerating at a constant rate of 5 m/s^2. Find the initial velocity if the particle moves 60m in the first 4 seconds.
Now, I...
Homework Statement
Suppose an initial number density of ink particles (i.e. number per unit length) is
given by:
f(x) = 2Nx ; for 0 < x < 1
f(x) = 0 ; otherwise.
Suppose also add a point source containing N molecules at the point x = − 1.
(a) Showing that the initial total...
I just started CM (I had 2 classes until now) and the professor said that if you know the position and velocity of say all the particles, then you know how the system will evolve.
This, I already read and knew. I've probably a common question so feel free to redirect me to any similar...
Homework Statement
Estimate the number of low and high mass stars that you expect to find in our Milky Way Galaxy now. Use the following (very approximate but about right numbers) for your estimate:
The Star Formation Rate in our galaxy is approximately 1 Solar Mass per year and virtually...
Homework Statement
y''-4y=60e4t
y(0)=9 and y'(0)=2
Homework Equations
none in particular
The Attempt at a Solution
First I solved for the auxiliary equation.
r2-4r
r(r-4)
r=0, 4
So the general solution for the homogenous form is C1e0x+C2e4x where C1 and C2 are unknown coefficients to...
Homework Statement
From the edge of a rooftop, a boy throws a stone at an angle of 25.0 degrees above the horizontal. the stone hits the ground 4.20 seconds later, 105 m away from the base of the building.(ignore air resistance). Find the initial velocity of the stone, the intial height from...
Homework Statement
dx/dt = 2*(1-x^2) with x(0)=0
Obtain the analytic solution to the IVP. Then, obtain the terms in the Taylor series up to and including the t^5 term.
Note: should be possible to express x(t) in terms of hyperbolic functions.
The Attempt at a Solution...
Homework Statement
A) A DMM with its 10M(ohms symbol) internal resistance is connected to a 9.9 microF capacitor that has been charged to 10 V. Calculate the intial rate of discharge of the capacitor through the DMM in micro-Coulombs per second. Hint: You do not need exponentials for this...
Homework Statement
In 2.0 s, a particle moving with constant acceleration along the x-axis goes from x = 10 m to x = 50 m. The velocity at the end of this time interval is 10 m/s. What is the acceleration of the particle?
Homework Equations
kinematic equations
The Attempt at a...
Homework Statement
At what temperature will aluminum have a resistivity that is three times the resistivity of tungsten at room temperature?
Rt=5.6 X 10^-8 ohm*m (The resistivity coefficient of tungsten at 20 degrees celcius)
R0=1.59 x 10^-8 ohm*m (The resistivity coefficient of...
Homework Statement
A rock is thrown from the top of a twenty meter high building at the angle 53 degrees above the horizontal. IF the horizontal range of the throw is equal to the height of the building, what is the speed of the rock? How long is it in the air? What's the velocity of the rock...
Homework Statement
A dog can jump to a height of 0.20 m. What is the initial velocity of the dog?
Homework Equations
v=v0+at
The Attempt at a Solution
I'm not sure if this is suppose to be a trick question. Are they talking about the gravitational acceleration?
v=v0+at
v0= 0...
The electric potential a distance r from a point charge q is 2.40×104 V.
One meter farther away from the charge the potential is 6500 V.
Homework Equations
V=kq/r
The Attempt at a Solution
6500 = 8.99x10^9 (q) / 1m
q = 7.230 x 10^-7
then,
r= kq/v
r= 8.99x10^9 (7.230 x 10^-7)...
[Please Help!] Find Initial Velocity (With Wind Factored In)
I can't do it =\.
Q: What equation would I use to find initial velocity? Given: Wind Speed, Wind Angle, Coordinates of Origin, Coordinates of End Point, (Distance), Projectile Mass, Theta (Angle to Use)
Here's my repost from a...
1.05 g MgO is added to 110.15ml HCL with an initial temperature of 21.5 degrees Celsius and a final temperature of 34.5 degrees Celsius. calculate the KJ of energy released for the reaction. assume that 4.18 J of energy is required to change the temperature of one mL of solution to one Celsius...
Greetings all,
I have a question in regards to my initial conditions. The problem as given is:
ut=uxx with u' = 0 at x=0 and u=0 at x=L
I was also given u={1 0<x<L/2, 0 L/2<x<L
I understand the set up of the problem and the solving of it for the most part, however I'm having...
What is the longest possible hole-in-one for this golfer? Neglect any distance the ball might roll on the green and assume that the tee and the green are at the same level.
in m
and:
What is the minimum speed of the ball during this hole-in-one shot?
please explain your answers :D...
Homework Statement
A grasshoopper jumps 1.00 m from rest, with an initial velocity at a 45.0 degree angle with respect to the horizontal.
Find the initial speed of the grasshopper (answer is 3.13 m/s)
The maximum height reached (answer is .250m)
Homework Equations...
Homework Statement
Particle A of mass 1kg is at rest 0.2m from the edge of a smooth horizontal table 0.8m high. It is connected by a light inextensible string of length 0.7m to particle B of mass 0.5kg. Particle B is initially at rest at the edge of table closest to A but then falls out...
Hello everyone. I have a problem listed below. I am very lost due to the fact that my teacher literally just gave us this problem to do and expects us to hand it in soon without even teaching/talking about this topic in class. I did some research over the Internet on IMF, but still am pretty...
A object is dropped from a height of 5.29 X 10^6 m above the surface of the Earth. What is its initial acceleration. The acceleration of gravity is 9.81 m/s^2 and the radius of the Earth is 6.37 X 10^6 m. Answer in units of m/s^2.
So my problem is that I was sick today and missed the...
Homework Statement
Assuming the best high jump record from a standing position in a school was 1.52 m, what initial velocity was needed for this jump? neglect any sideways motion.
Homework Equations
velocity equation
The Attempt at a Solution
I don't really understand how to do...
Homework Statement
The acceleration of a particle is given by ax(t) = 2.90t - 2.06
Q. Find the initial velocity v0x such that the particle will have the same x-coordinate at time t = 4.06 as it had at t = 0.
Homework Equations
vx = v0x + \intaxdt evaluated from 0 to t.
x = x0 +...
http://i48.tinypic.com/1o4ow9.jpg
why in this circuit they say that in t<0
the voltage on both capacitators is 12 volts??
if both points of each capacitators is connected to the voltage source directy
then 12 volts is ok.
but here we have a resistor between them
this resistor drops...
Homework Statement
Assume acceleration due to gravity is 9.8ms^-2
It has been said that in his youth George Washington threw a silver dollar
across a river. Assuming that the river was 75m wide,
(a) what minimum initial speed was necessary to get the coin across the river
(b) how long was...
Homework Statement
A baseball is thrown at 20 degrees to the horizontal. The ball travels a horizontal distance of 18 meters when it returns to the same level as the instant it had been thrown. The total time it traveled between these points is 2.1 seconds.
Determine the initial velocity (Vo)...
Homework Statement
A cannon shoots straight up into the air a cannonball which reaches a maximum height of 600m. What was the initial velocity of the cannonball when it was fired from the cannon. (Note: this problem contains all the information necessary to be solved.)
use g=10m/s^2...
A boy tosses a coin straight up to 2.8 m. Suppose the height when the coin leaves his hand is 1.2 m. What was the initial speed of the coin when it left his hand?
I'm just confused as to what equation to use. And I don't know whether to assume the acceleration is -9.8 m/s^2. Thanks.
I'm having a bit of trouble understanding the concepts of momentum conservation. Let's say I'm standing on a frictionless surface and I throw a 3kg brick horizontally with a velocity of 4m/s. In this scenario I can see that I'm going to be repelled backwards at a velocity of 12/my mass in kg but...