All Questions
Tagged with distance newtonian-mechanics
49 questions
-1
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1
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113
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Can distance traveled by a body be zero?
I had seen a teacher saying on YouTube that we must note that distance traveled can not be zero then I searched for the same on net and surely some sources say same e.g. the below link
https://byjus....
- 1,395
0
votes
1
answer
46
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Average distance travelled by particle points placed uniformly at random in a sphere with speed $||v||$ and direction uniformly random?
I would like to compute the average distance travelled by particle points at constant speed $v>0$ with uniformly-distributed directions and placed uniformly at random inside a hollow sphere of ...
- 101
3
votes
1
answer
104
views
How does the definition of a rigid body imply constant distance from the center of mass?
Let there be a system of N point-particles in 3D space, this system is a rigid body. The general definition of a rigid body is $ \mid r_{i}-r_{j} \mid$=constant $\forall i,j$
In one of the books I was ...
- 131
2
votes
5
answers
906
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Does work done by a non-conservative force involve distance rather than displacement?
I am a new physics teacher and struggling to piece out the nuance of work calculations for my Advanced Placement (AP) students.
I feel like after a fruitful year of distinguishing between vector and ...
- 31
1
vote
2
answers
251
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Finding rate of change of the distance from an observer on earth to a satellite in orbit
This is a satellite motion related question. To give context, imagine a satellite orbiting Earth at a distance 'R' from the center of the Earth at constant velocity 'v'. An observer on the surface of ...
0
votes
2
answers
231
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How come Newton's universal law of gravitation also leads to negative solution for the distance $r$?
So Newton's universal law of gravitation is:
$$F = GMm/r^2.$$
However, if I wanted to solve for distance using Newton's law of gravitation, the equation would be:
$$r^2 = GMm/F.$$
Thus if I wanted to ...
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0
votes
1
answer
499
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How to find distance between colliding objects?
Consider an object A with mass m with velocity v collides with another resting object B with mass M. After colliding we know that after some time both the objects will gain same velocity. But a ...
2
votes
3
answers
280
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Free Fall and constant acceleration
Although the acceleration of free fall is constant, why don't the distance go like $y = 9.8+4.9= 14.7m$ after 2 seconds, $y= 19.6+14.7 = 34.3m$ after 3 seconds? I think Constant acceleration work like ...
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6
votes
4
answers
778
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Finite distance, Infinite time?
Let's say that a ball dropped from $1 \ \text{m}$, covers $\frac{1}{n^2} \ \text{m}$ for every $n$ bounce, i.e $\sum_{n = 1}^{\infty} \frac {1}{n^2}$ so the total distance will be $\frac{π^2}{6}$, ...
-1
votes
1
answer
71
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An easier way for me to calculate the distance , But does it always stand true? [closed]
When can I say that the distance is equal to $d=\int^{t_2}_{t_1}|V|dt$ , Where V is the velocity and it's given in terms of time and $t$ is the time , You might wonder why I'd need this ; it's ...
- 127
0
votes
1
answer
156
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Forces distance dependent find derivatives of position time dependent
Suppose we have a force which is dependent on distance from some point. It is easy to find the acceleration based on the distance from that point, but in a previous question, I asked they told me that ...
- 425
0
votes
3
answers
290
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How is position calculated when the acceleration is not constant?
To get the position of an object we can use the equation: $$x=x_0+v_0t+\frac{1}{2}at^2$$
But now I don't have a constant acceleration, both $x_0$ and $v_0$ start at $0$ and $v$ ends at $16 \text{ m/s}$...
- 11
0
votes
1
answer
173
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Work in different forces over the same distance [closed]
If two forces are different (Force A < Force B) but the distance over which the forces are applied is the same, then by the work formula, the object that is pushed with force B should have more ...
- 13
0
votes
1
answer
645
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Why do we consider that if initial & final positions are same then displacement of an object is Zero?
I was thinking on a basic high school problem about motion on one axis and came across one of those problem where displacement is zero because final and initial positions are same.
My question is that ...
- 121
-1
votes
2
answers
966
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Shooting two projectiles at the same time with different mass [closed]
Shooting two projectiles having the same radius and in the same condition with the same initial velocity and angle
one with a mass of 10kg and the second with a mass of 100kg
which one of them will ...
0
votes
3
answers
2k
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Work done on a frictionless surface
Imagine that we apply a force $F$ on a frictionless surface to move a body by a distance $d$. (The body starts at rest and is stopped after moving a distance $d$.)
Is the work done $F d$?
But from ...
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1
vote
4
answers
104
views
How to define "work" on a movement of a celestial body? [closed]
A moving celestial body (such as a planet orbiting the Sun) creates infinite distance. How to relate this to Work formula ($W=F\cdot d$)?
I know I must have wrong understanding about this formula when ...
- 11
0
votes
1
answer
597
views
Range of a projectile as a function of launch angle [closed]
Goal: Derive an equation for range of a projectile as a function of launch angle if it started from a height > 0 and landed to height = 0
I know that the horizontal range
$$ R = \frac{v_0^2 \sin2\...
- 13
0
votes
1
answer
45
views
I don't think I understand how to calculate the distance of when objects are passing each other
You are driving a SUV with constant velocity of 22m/s. At a moment, you notice a truck 200 meters ahead of you, moving in the same direction with constant velocity 18 m/s. How far your car should ...
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1
vote
3
answers
16k
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How can I calculate deceleration due to friction?
I was wondering, how can I calculate the decelerations of an object due to friction - and therefore find the maximal distance it can reach?
For example, if a car suddenly brakes in the middle of a ...
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12
votes
4
answers
4k
views
If work is a scalar measurement, why do we sometimes represent it as the product of force (a vector) and distance (scalar)?
Consider an object being pushed 3/4 of the distance around a circular track. The work done on the object would be the distance of 3/4 the track’s circumference times the force applied to the object (...
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-2
votes
1
answer
135
views
Taking a frictionless object to a full stop given initial velocity and stopping distance [closed]
I am working on a simplistic simulation program where at some times I have to take an object to a full stop, while only knowing it's velocity and the distance in which it has to stop.
Though, I want ...
- 241
0
votes
1
answer
181
views
How to find distance travelled when the change in the force of gravity is not negligible? [duplicate]
Usually when on Earth we can use as an approximation:
g = a = 9.18 $\frac{m}{s^2}$
s = vi + 1/2 a$t^{2}$
However, how would I determine the distance traveled in situations where the the acceleration ...
- 101
4
votes
2
answers
263
views
Why work definition involves displacement?
$$W=\left\Vert\vec{F}\right\Vert \left\Vert\Delta\vec{r}\right\Vert \cos{\theta}$$ A greater magnitude force will have a greater influence than a smaller magnitude one when they have the same $\theta \...
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-1
votes
1
answer
4k
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Calculating the distance between two masses with respect to gravitational force [duplicate]
Call them $m_1,m_2$. They are compressed to their center of masses, if you wish. If the initial distance at $t=0$ is $d$, is there a formula or an efficient way to calculate the distance between them ...
- 121
0
votes
4
answers
577
views
Why is Work equal to Force * distance? [duplicate]
I totally get the mathematical part, but I cannot imagine how this works. I apply a force to a ball. Why does the distance over which it moves matter to me? Sure, if I calculate the kinetic Energy of ...
- 101
32
votes
3
answers
4k
views
Why is the work done by a rocket engine greater at higher speeds? [duplicate]
From this comment by orlp:
If I strap a rocket booster to a rocket in space and fire it for one second, then the work provided is much higher when the rocket is flying fast compared to when the ...
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33
votes
11
answers
9k
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Why does work depend on distance?
So the formula for work is$$
\left[\text{work}\right] ~=~ \left[\text{force}\right] \, \times \, \left[\text{distance}\right]
\,.
$$
I'm trying to get an understanding of how this represents energy.
...
1
vote
2
answers
4k
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Given Max Speed, Max Acceleration and Jerk - How do I calculate time?
I'm developing some python code that controls an end effector moving in a two-dimensional plane (XY). It moves through a list of points sequentially and I'd like to estimate the time it will take as ...
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10
votes
8
answers
7k
views
Does the mass of a bicycle directly affect stopping distance?
In this answer on the cycling SE, the claim is made that adding more mass to a bicycle increases the stopping distance. I was under the impression that mass should not affect the stopping distance so ...
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-2
votes
1
answer
282
views
Frog jumping on a plank floating on water [closed]
I don't want you to give me the answer of the problem, I only whant to know how to think it.
A frog of 200g is sitting at the end of a plank of 1kg and 1 m of length. The plank is at rest and ...
- 3
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2
answers
387
views
Given a known total stopping distance, how can I calculate the initial speed?
This would be my first question on Physics.stackexchange. As I looked closely if I would not double my question, I try dare to ask the question.
I am doing some calculations together with my kids. ...
- 103
6
votes
4
answers
4k
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In what scenarios would adding more mass to an object being thrown allow for more distance with the same force?
OK, assume that an object with mass M is thrown with X amount of force. This object would travel a distance, D.
How would increasing M, while leaving X unchanged cause an increase in D?
For example, ...
0
votes
2
answers
1k
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Mechanical Advantage of Levers
The mechanical advantage is given by MA = Load/Effort which is quite universal (at least in my short experience with them). However when i reviewed over the mechanical advantage of simple machines, ...
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1
vote
1
answer
542
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Projectile motion with air friction force/resistance [closed]
We have to find the x (the distance, if you didn't know that then I'm not sure if you should be doing this problem) that the projectile travel during the time in the air until the time it hits the ...
user121908
-1
votes
1
answer
44
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Why is the first part of equation i.e $v_0(t_f-t_0)$ not considered while plugging real life problem to it? [closed]
Why is the speed*time stuff is not present while we look for the distance?
I got it from this (physics for dummies)
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0
votes
1
answer
2k
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What is the resistance force of a ramp?
I know that the effort force is what you exert on the object, the effort distance is the length you walk on the ramp, and the resistance distance is the height that I traveled (or height of the ramp), ...
2
votes
2
answers
3k
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If displacement is 0, why isn't the work performed on an object 0?
Work is force x distance/displacement. The exact definition is something I'm a little confused about since my professor said it could either be distance or displacement. So going with that, if the ...
- 1,628
2
votes
1
answer
4k
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Distance from Earth where gravity becomes negligible
This is a basic little problem I thought up when trying to remember some physics, and I wanted to see if it's at all correct: trying to figure out the distance from earth where gravity becomes ...
- 265
0
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1
answer
788
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Calculating position of a particle at time $t$ in a gravitational field
I'm working on a piece of code that is supposed to visualize a particle bouncing up and down from the ground (somehow magically we can give it velocity upwards when it is on the ground). I figured ...
- 273
1
vote
1
answer
2k
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How to calculate distance travelled while car is rolling, given start and end speed?
I'm trying to calculate the distance travelled by my Formula Student racecar if it starts at a certain speed, goes into Neutral (no acceleration, no brakes, just rolling on its wheels), and ends at ...
0
votes
3
answers
273
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Why is there a contradiction in this Newton's equations of motion related question? [closed]
One second after being thrown straight down, an object is falling with a speed of 20 m/s. How much distance does the object travel in the first second?
We took:
$$v = 20\,{\rm m/s}$$
$$u = 0\,{\rm m/...
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2
votes
1
answer
354
views
Does the line integral definition of Work involve distance or displacement?
My textbook reports the following definition of Work:
where ds is the infinitesimal displacement.
I know that an infinitesimal displacement is usually denoted by dr and I also know that the ...
- 273
0
votes
4
answers
118
views
Using formula for work with distance of 0m [duplicate]
Consider this:
Wind is pushing a huge rock towards me at with massive force at 2m/s. I push against the rock at equal force so the rock stays still. I am clearly "working" very hard, using a lot of ...
- 103
3
votes
0
answers
179
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What is the maximum range of a bullet flying through the sky? [closed]
How far would my bullet fly with the following characteristics?
1.2km/second initial velocity
45 degree angle into the sky
'Normal' atmospheric conditions
No wind
Typical high-powered rifles have 5-...
- 289
0
votes
2
answers
251
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Distance travelled in spaceship Newton vs Einstein
If you get in the canonical 1G windowless spaceship and accelerate for 5 years as determined by your trusty wristwatch, then decelerate for 5 years, then decide its time to see where you are would the ...
- 1,418
3
votes
2
answers
331
views
How much more energy would I spend if my bicycle was 2 kilos heavier? [closed]
I have a bicycle weighing 8 kilos. An 10 kilometer ride averaging 20 km/h requires z kWh's of energy.
How much more energy would I spend if I added 2 kilos to my ...
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1
vote
2
answers
2k
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1D Kinematics - Relative Motion involving non-inertial frames of reference
I recently came across a question involving non-inertial frames of reference. I didn't quite understand the way it had been solved due to some conceptual confusion regarding certain deductions made to ...
- 383
10
votes
8
answers
15k
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Can you completely explain acceleration to me?
I understand what acceleration is, and I know the formula, and I understand it's a vector.
I just don't understand how the equation works exactly. I'm kind of picky, I know, but bear with me.
...
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