Isolating "t" in horizontal motion equation
Homework Statement
So this is just a practice question from my course and they gave me the answer, the problem I am having is understanding how they got to that answer. I have the formula and everything, just don't know how to isolate "t" and the...
Homework Statement
The problem is attached
Homework Equations
L=mr^2(dr/dt)
V_escape=(GM/R)^.5
E=L^2/(2mR^2)-(GMm)/R=0
The Attempt at a Solution
after some work i got:
dr/dtheta=((r^3/R)-r^2)^1/2
dont know what to do from here.
Thanks.
Homework Statement
Sketch the graphs of the following function showing vertical and horizontal asymptotes and relative extrema:
f(x) = (x2-1)/(x2-4)
Homework Equations
Limits, zeroes, derivatives
The Attempt at a Solution
I know that I have the majority of the answers right, the...
Homework Statement
Find the horizontal asymptote of f(x) = (x2-1)/(x2-4)
Homework Equations
Limits
The Attempt at a Solution
I'm pretty family with the process, I just get confused when there's an x2 in the denominator and no x in the numerator ):
So I already figured out that...
Homework Statement
Question:
2 Blocks A and B are resting on a horizontal plane and connected by a cord as shown in figure. The Block A starts from rest and moves to the left with constant acceleration.It was observed that the Block B attains a velocity of 12 m/s after moving a distance...
Hi :smile:
A horizontal disc has a hole through its center. A string passes through the hole and connects a mass m on top of the disc to a bigger mass M that hangs below the disc. Initially, the smaller mass is rotating on the disc in a circle of radius r. What must the speed of m be such...
Hello again,
Sorry for posting two threads in one day. This is a general question.
Suppose we have a box on a rough surface (fk). The box is being pulled by a
horizontal rope(T1), and is moving with a constant speed v=0.5 m/s.
Now suppose there's exactly similar situation but with...
Homework Statement
A jet flying at 250m/s at an angle of 20 degrees above the horizontal releases a bomb 200m above the ground, how far does the bomb travel horizontally before hitting the ground?
Homework Equations
vix = vicosthetha
viy= visinthetha
not sure what else...
The...
Homework Statement
A car is traveling at 50 mi / hr on a horizontal highway
a. If the coefficient of static friction between the road and tires on a rainy day is 0.100, what is the minimum distance in which the car will stop?
b. What is the stopping distance when the surface is dry and μs =...
In the solution manual (which I never trust) the tension vector of the rope that emerges from point A only has a vertical component when calculating the sum of all moments on joint C. I disagree with the solution manual, since this vector also has a horizontal component, and if you calculate its...
Homework Statement
An archer shoots an arrow over level ground. The arrow leaves the bow at a height of 1.50 m with an initial velocity of 79.5 m/s in a horizontal direction. At what horizontal distance (in m) does this arrow strike the ground? The answer is 44m but I don't know how to get to...
Homework Statement
A person is pushing a 15.0kg box on the ground with a force of 72.0N 65Degrees from the horizontal. if the coefficient of friction is0.12 what will be the acceleration of the box?
Homework Equations
Fnet=ma
theres other formulas but i don't have my data sheet :(...
Homework Statement
A 10.0kg toboggan is sliding down a hill with a slope of 15.0 degrees. If it is maintaining a constant velocity, what is the coefficent of friction?
Homework Equations
Fnet=ma
Fg=mg
Ffkinetic=mewFnormal i think
Ffstatic=mewFN
The Attempt at a Solution
like I...
Homework Statement
A 5.0 kg mass is held against a wall with which it has a coefficient of static friction of 0.85. What is the minimum horizontal force required to hold the mass against the wall ?
The teacher said answer is 58 N .. i can't get to that answer..
Homework Equations...
Hey Guys. I am having issues with one of my physics homework questions, and i was seeking help. The question is as follows:
While traveling around a roundabout, John notices that the fluffy dice suspended from his rear-vision mirror swing out. If John is traveling at 8m/s and the roundabout...
Homework Statement
An airplane is flying in a horizontal circle at a speed of 410 km/h (Fig. 6-41). If its wings are tilted at angle a = 42° 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...
Homework Statement
A particle of mass m moves along a frictionless, horizontal plane with a speed given by v(x)=k/x, where x is its distance from the origin and k is a positive constant. Find the force F(x) to which the particle is subject.
Homework Equations
F(x)=m\ddot{x}...
Why is it that simple balances always come to rest in a horizontal position when equal weights are placed on both ends? If the weights are equal, then (assuming that the distance from each weight to the pivot is the same) the torques produced by the weights are equal and opposite and the net...
Homework Statement
Seawater flows through a horizontal tube of diameter 3.00 cm that is joined to a second horizontal tube of diameter 1.70 cm. The pressure difference between the tubes is 7.25 kPa. What is the speed of flow in the first tube?
Homework Equations
I thought it was P1 +...
Homework Statement
A box, whose weight is 182 kg, is drawn with constant speed 21 m along a horizontal concrete floor. The kinetic friction between the box and the floor is 0.58.
(acceleration due to gravity, g = 9,81 m/s2).
Homework Equations
Calculate the work done when the box is drawn...
Homework Statement
A mass is connected between two identical springs with the same spring constant, k. The equilibrium length of each spring is L, but they are stretched to 2L when the mass is in equilibrium. Ignoring gravity, find the equations of motion and then angular frequency of...
A wooden block is pulled across a level table by a horizontal force of 25N. If the coefficient of friction between the block and the table is 0.40 and the block is accelerating at 5.0m/s/s, what is the mass of the wooden block?
I find Dynamics very hard and I just can't seem to figure it...
Homework Statement
This is actually an engineering problem, but no-one ever seems to answer my questions when I post them there, and this is physics related.
Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when θ= 0° and the...
i am working on design of a machine which requires use of gear. I need to transmit horizontal rotational motion to vertical rotary motion. my question is their a means of getting the specific type and specification of gear am to use without calculating? if am to calculate how do i start and what...
Homework Statement
A man stands on the roof of a 10.0 m -tall building and throws a rock with a velocity of magnitude 24.0 m/s at an angle of 30.0 degrees above the horizontal. You can ignore air resistance.
Calculate the magnitude of the velocity of the rock just before it strikes the ground...
Homework Statement
Block A starts from rest and slides 8m down a frictionless 30 degree angled inclined plane. It then crosses a 4m horizontal surface where the coefficient of kinetic friction is 0.2. What is the velocity of Block A after it has finished crossing the horizontal surface...
How do you calculate the stress in a cantilevered beam with a point load at the free end where the load has a large horizontal component loading the beam in tension as well as bending from the vertical component? And the beam bends far enough so it's slope will match the slope of the load at...
Homework Statement
Find the points on the curve y=x3−x2−x+1 where the tangent is horizontal.
I know that for it to be horizontal it needs a slope of 0
Homework Equations
y = mx + b
The Attempt at a Solution
I don't have one, i can't think where to even start with this.
Homework Statement
Consider the plane z = x + 2y and the cylinder x^2 + y^2 = 1
(a) Find a vector function r(t) describing their intersection.
(b) Find the points if any where the tangent to ~r is horizontal
(c) Find an equation for the tangent line to ~r at each of these points.Homework...
Homework Statement
a 1200kg gun mounted on wheels shoots an 8kg projectile with a muzzle velocity of 600m/s at an angle of 30degrees above the horizontal. find the horizontal recoil speed of the gun
Homework Equations
KE= .5mvfE2 - .5MViE2
The Attempt at a Solution
to be honest I...
Homework Statement
A ball is thrown with speed v from height h. What angle should it be thrown so it travels the maximum horizontal distance?
I'll assume the angle theta is the angle from the horizontal to the initial direction of the velocity.
Okay, since there is no air resistance we...
Homework Statement
So if an electron enters an electric field (between two charged parallel plates) at an angle (i.e not parallel to the x axis) and knowing that the speed is, say, 5 x 10^6 m/s, how would you find the HORIZONTAL velocity of the electron?
you know that horizontaly it must...
Homework Statement
I am using vPython, and object moves in a +x direction with a vector of <1e7,0,0>m. I need to now change the vector so that it now moves in the same +x direction, but also moving in the northeast direction at an angle of 45 degrees.
The Attempt at a Solution
I...
hi, when talking about time dilation we base our idea(as i understand) such that; static observer relative to other one claims that lights' path is longer for him/her and since lights' speed is c for each of them time dilation occurs. This is quite obvious in vertical clocks but in horizontal...
Homework Statement
A skier starts from rest at the top of a hill that is inclined at 10.5degrees with the horizontal. The hillside is 200 m long, and the coefficient of friction between the skis is 0.075. At the bottom of the hill, the snow is level and the coefficient of friction is...
bar (length L) is turned with angular velocity ω, on a horizontal level. Αt length of the bar, there is a ball (mass m) which rolls (We suppose that there is no friction force). The ball begins from constant utmost the bar with initial velocity u0. When the ball reaches in the L?
Can you help...
Homework Statement
A door of width 1.00 m and height 2.30 m weighs 272 N and is supported by two hinges, one 0.40 m from the top and the other 0.40 m from the bottom. Each hinge supports half the total weight of the door.
Homework Equations
Torque = rFsin(theta)
The Attempt at a Solution
I...
Homework Statement
A small metallic bob is suspended from the
ceiling by a thread of negligible mass. The
ball is then set in motion in a horizontal circle
so that the thread describes a cone. Calculate
the magnitude of the angular momentum of the
bob about a vertical axisthrough the...
Homework Statement
A constant horizontal pull acts on a sled on a horizontal frictionless ice pond. The sled starts from rest. When the pull acts over a distance x, the sled acquires a speed v and a kinetic energy K. If the same pull instead acts over twice this distance, <the sled's speed will...
Homework Statement
Determine the points at which the graph of the function has a horizontal tangent
f(x)=(x^2)/(x-1)
Homework Equations
The Attempt at a Solution
f'(x)= ((x-1)(2x)-(x^2)(1))/((x-1)^2)
((2x^2)-2x-x^2))/(x-1)^2
f'(x)= ((x^2)-2x))/((x-1)^2)
third step
I set to 0 I...
A stepladder of negligible weight is constructed where x = 1.80 m. A painter of mass 63.0 kg stands on the ladder 3.00 m from the bottom.
Assuming the floor is frictionless, find the following. (Suggestion: Treat the ladder as a single object, but also each half of the ladder separately.)...
Homework Statement
would there be a horizontal asymptote for y= 6/x - 3
Homework Equations
I know that the vertical asymptote is x =3 because there the expression is undefined
The Attempt at a Solution
Homework Statement
A 0.766-kg mass is attached to a horizontal spring with k = 78.0 N/m. The Mass slides across a frictionless surface. The spring is stretched 25.53 cm from equilibrium, and then the mass is released from rest.
(a) Find the mechanical energy of the system.
(b) Find the speed...
Hi, I have a problem
(1) where I need to compute the ratio of probabilities of hitting and stopping at a positive vertical barrier x vs hitting and stopping at a negative horizontal barrier y after starting from (0,0).
I feel that by symmetry, the answer to this would be the same as...
Homework Statement
Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 9.4 N, acting 68° north of west. What is the magnitude of the body's acceleration?
Homework Equations
F=ma
The Attempt at a...
Homework Statement
For the three leaf rose: r = sin(3\theta), find the co-ordinates of the five points where the tangent lines are horizontal. Interpret the significance of the five points.
Homework Equations
\frac{dy}{dx} = \frac{r'sin(\theta)+ rcos(\theta)}{r'cos(\theta) - rsin(\theta)}...
Homework Statement
Determine all x in [-pi/2, pi/2] at which the graph has horizontal tangents.
Homework Equations
1.) f'(x)= 9cos(x)-2sin(x)
2.) f'(x)= -5csc(x) (5cot(x)-csc(x))
The Attempt at a Solution
1.) 9cos(x)=2sin(x)
9/2=sin(x)/cos(x)
9/2=tan(x)
and then I'm...