I'm following Professor Ramamurti Shankar's video lecture series for Fundamentals of Physics I on Open Yale and I'm hung up on the last question on the second problem set, of which there is no mention on the solution set.
http://oyc.yale.edu/physics/phys-200/lecture-4
The question asks, "Show...
Homework Statement
Homework Equations
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The Attempt at a Solution
I know that the acceleration is downward always with value of 10m/s2
The answer is D? because j denote vertical axis and negative sign means downward?
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Homework Statement
A projectile of mass m is shot (with velocity v) at target of mass M which has a hole containing a spring inside (with constant spring constant K), and the projectile hits the spring. The target is initially at rest, and can slide without friction on a horizontal surface (see...
Homework Statement
Why is the horizontal velocity for a projectile constant?
I understand it physically, since the vertical and horizontal velocities aren't related and don't affect each other, g will only affect V_y and neglect V_x, so it's constant.
But maths-wise, isn't V_x =...
Homework Statement
In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.1 s after it is hit and then down past the top of the wall 3.9 s later, at distance D = 42 m farther along the wall...
Homework Statement
Why the time of vertical motion and horizontal motion of the projectile are the same ? I couldn't understand it. Could someone explain it ?
Homework EquationsThe Attempt at a Solution
Homework Statement
In the figure, a baseball is hit at a height h = 1.30 m and then caught at the same height. It travels alongside a wall, moving up past the top of the wall 1.1 s after it is hit and then down past the top of the wall 3.9 s later, at distance D = 42 m farther along the wall...
Homework Statement
A ski jumper acquires a speed of 119.0 km/hr by racing down a steep hill. He then lifts off into the air from a horizontal ramp. Beyond this ramp, the ground slopes downward at an angle of θ = 45 degrees.
Homework Equations
Assuming the skier is in free-fall motion after he...
1. A cannonball is fired toward a vertical building 400 m away
with an initial velocity of at 36.9° above the horizontal.
The ball will hit the building in
A. 4.0 s. B. 5.0 s.
C. less than 4.0 s. D. more than 5.0 s.
2. If the cannonball in the previous question is fired horizontally
from a...
Homework Statement
A 48 gram dart is shot vertically upwards from a catapult with a spring constant of 350 N/m. The catapult is initially stretched from the equilibrium point by 21 cm. What is the height above the starting point reached by the dart?Homework Equations
KE=PE, rearranging to find...
If a projectile shot from the ground were shot at a target located at a specified height above the ground, and would hit the target, is there a known formula to find the projectile’s height on its trajectory a specified distance (measured along the flat ground) from the target’s base or from the...
Hi guys, Please, someone can help me to solve some simple equations?
I Need to shoot a projectile with 20 grams at 15 meters and 15°.
So, I'm triyng to calculate the velocity and Force and what I will need to make this succesfull.
My Calcs...
Homework Statement
This is a standard projectile motion problem, the mass is m, the drag is F_r = - alpha *v, where alpha is a positive retarding coefficient. The origin is the ground and at time t = 0 the horizontal and vertical velocities are positive
a) Write down Newton's second law for...
I actually have 2 questions that I am getting stuck on around the same point..
Question 1) An arrow with a mass of 80g is fired at an angle of 30 degrees to the horizontal. It strikes a target located 5 m above the firing point and impacts the target traveling at a speed of 20 meters/sec. If...
Homework Statement
Two identical metal blocks, H and A, are placed at equal heights on frictionless ramps as shown above. The blocks are released at the same time, travel down the ramp, and then slide off their respective ends of the table. Block H leaves the table from a horizontal surface...
Homework Statement
A cannonball is fired with a velocity of 125 m/s at 25.0° above the horizontal
a) Determine the horizontal and vertical components of the initial velocity.
b) Determine the maximum height the cannonball reaches in its path
c) Determine the time it takes to reach maximum...
Attempting a projectile motion question where initial and final speed is given but angle of elevation isn't. Need to find an equation for the vertical distance H travelled. I got the right answer using v^2 = u^2 + 2as substituting s=H and a=-9.8.
However the mark scheme states that this...
Hi! I am recently involved in a project with a friend. We are trying to build a mass accelerator and thus, I figured that I need to know the optimal distance to place the coils and the winds on the coil. My thought was that if we place the coils too close, the coils wouldn't accelerate the...
I'm working on a project to make a SmartBall that can detect the velocity(km/h) , spin(degrees per second) and flightpath(trajectory) of the ball using Intel Edison with the 9DOF block (LSM9DS0 : 3-axis accelerometer, 3-axis gyroscope, and 3-axis magnetometer) & the battery block, I'm reading...
sand bag is dropped...i can understand that vertical acceleration is 9.8m/s^2...so vertical velocity increases in a.p (9.8, 19.6... m/s)...but this book says horizontal velocity of sandbag is constant and same as that of hot-air balloon (i.e., 12m/s)...I think the horizontal velocity should...
The attached file contains a question my brother asked me solve. But this problem might have some problem of its own. I feel like every position of the spanner is a probable one. Can someone please help.
p.s. i know the answer but avoiding giving it to avoid getting biased.
Hi all:
I'm writing a program based on simple re-entry physics and can't quite get the algorithm to match the theoretical results. A little background:
The equations I'm comparing this to are derivations from the equations of motion and the Sutton-Graves equation for peak heat flux at the...
Homework Statement
A projectile needs to be launched over a fence of width d, and height y. Find the minimum velocity needed.
Homework Equations
Projectile Motion etc..
The Attempt at a Solution
[/B]
x(t) = v0xt
y(t) = -½gt2+voyt
Setting:
x(T) = L
y(T) = h
Formula for time of flight in projectile motion is 2usin theta/g but I think it is only applicable for when object is launched from ground i.e in the case below
But when it is launched from certain height this formula is no longer in use.
Homework Statement
There is a projectile which is launched at point "o" and land at "B".It was thrown with 20m/s with angle of 53 degree.Take g=10 m/s^2 sin theta=0.8 and cos theta=0.6
Find the time at which magnitude of x component of velocity of projectile is twice the magnitude of y...
Hi guys, I am stuck with a problem here.
First, It is given that for 2-dimensional projectile motion, a trajectory of 45 degrees will yield the greatest range. However, how do I show that angles that differ from 45 degrees by the same amount will yield the same range? For example, the range of...
Homework Statement
A greasy spud is launched off of the top of an infinitely large frictionless wedge. The angle that the wedge slopes down at is 30 degrees. Find the launch angle that maximizes the horizontal range of the spud.Homework Equations [/B]
x = x0 + vxt + (1/2)at2
The Attempt at a...
Homework Statement
The following series of differential equations represents a projectile's path when solved (g=9.81):
Modify this series of differential equations to account for an additional force F with vector components a and b acting on the projectile.
Here is a sample plot of this...
So I'm working on an experiment where I do a projectile motion simulation here on Earth and want to know how it will fair in a low gravity environment such as in the moon with one common parameter in between, Force.
Imagine, here on earth, I have a mass that I push up with a force(F) for it to...
Homework Statement
An archer standing on a 15 degree slope shoots an arrow 20 degrees above the horizontal. How far down the slope does the arrow hit if it is shot with a speed of 50m/s from 1.75m above the ground?
Homework Equations
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##y = x##tan##\theta## - ##\frac{gx^2}{2v^2...
Homework Statement
Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the...
Homework Statement \[/B]
Joey spins a laptop then he releases it, at an angle. Assuming no wind resistance, the laptop (has a rubberized case) hits the concrete and drags across the concrete for 5.3 seconds. What is the coefficient of friction between the rubber and concrete and what distance...
Homework Statement
A projectile is launched from a mountain at a given angle and velocity (which is large). Using polar coordinates find the position of the particle at time t. I'm ignoring drag (for now).
Homework Equations
I tried using the polar kinematic equations...
Homework Statement
A rocket is launched at an angle of 36.87º (sin=0.6 cos=0.8) with an acceleration of 30m/s² for 20s (fuel runs out). Find a) total time of flight b) horizontal range.
Homework EquationsThe Attempt at a Solution
for the first 20 seconds:
v= 30 * 20 = 600m/s d=30 *...
An object fired at an angle of 30° above the horizontal takes 2.5 s to travel the last 12 m of its vertical distance and the last 10 m of its horizontal distance. With what speed was the object launched? (Note: This problem does not stipulate that the initial and final elevation of the object...
Homework Statement
King Arthur's knights use a catapult to launch a rock from their vantage point on top of the castle wall, 12m above the moat. The rock is launched at a speed of 27m/s and an angle of 39∘ above the horizontal. How far from the castle wall does the launched rock hit the ground...
1. The problem: I need to find the height and horizontal distance reached by a projectile given only the vertical and horizontal velocities. Vv=120m/s Vh= 30m/s this is for an algebra based physics class, I'm very new to this stuff.Homework Equations : V=at+Vo
X=1\2at^2 + Vo + Xo...
Homework Statement
A projectile is thrown from a point A on an inclined plane field of unknown slope α, and hits the field on a point B. We know the angle between the initial velocity and the field: θ. We know the magnitude of the velocity: V. We know the the acceleration of gravity: g. We...
Homework Statement
A football is kicked at an angle of 60 degrees to the horizontal and travels a distance "R" before hitting the ground
A.) find the initial speed of the football
Homework EquationsThe Attempt at a Solution : [/B]
I would presume I would need to find initial velocity of X...
Homework Statement
A cannon has to fire a ball through a window in the wall. The window is 10 meters at the Y axis, and 8 meters (away from the cannon) at the X axis. The window is just slightly bigger than the ball (let's suppose that the dimensions are negligible). Find the required launching...
Homework Statement
The top of a 10-storey building (42 m) , someone throws a ball (A) down with a
initial speed of 2.5 m / s. You are on the second floor (8 m window above the ground) and
You throw a ball (B) upward with an initial speed of 22 m / s.
a) If both balls are thrown together after...
Homework Statement
So I am given the height of a basketball player (2.00m tall) and the height of a basketball net (3.05m tall) and the distance at which the player stands from the net (10.0m away). The player shoots the ball at an angle of 45.0 degrees. What must the initial velocity be to...
I don't need the solution solved for me, but I need help with the method to find the solution.
1. Homework Statement
A projectile is launched from an unknown angle and expected to hit a target at a lower altitude.
The values given are the initial velocity, and the distance of the target from...
Homework Statement
A 124-kg balloon carrying a 22-kg basket is descending with a constant downward velocity of 23.5m/s A 1.0-kg stone is thrown from the basket with an initial velocity of 14.8m/s perpendicular to the path of the descending balloon, as measured relative to a person at rest in...
Heres a design I put together a year ago and it got figured out to the point i might be able to make a prototype. What are some design flaws you guys might be able to point out, or some advice you think I could use.
Homework Statement
Good day all! I'm stumped on a question:
If I fire a bullet straight up what will be the initial velocity such that the bullet doesn't come back down?
I need to model a differential equation (it will be first order) some how!
Also, Gravity is not constant, but rather, the...
Homework Statement
In the Fig.
What should be the initial velocity (magnitude and direction) of the arrow? Also calculate the time of flight.
Homework EquationsThe Attempt at a Solution
I have formulated 2 equations:
v*cos(theta) * t = 20
and 3 = (v * Sin(theta) * t) + (9.81 * t^2)/2
when...