Finding Impulse and Velocity from Force vs. Time Graph

AI Thread Summary
The discussion focuses on calculating impulse and final velocity from a force vs. time graph for a 1.7 kg object. Participants clarify that impulse can be found using the area under the force vs. time graph, which equals force multiplied by time. It is emphasized that this graph does not represent acceleration vs. time, and thus the area does not directly provide final velocity. The impulse-momentum theorem is suggested as a useful approach for solving the problem. Overall, understanding the relationship between force, time, and impulse is key to finding the required values.
MG5
Messages
60
Reaction score
0
Heres the graph.

6-p-015.gif


Heres the problem

Mass of the object is 1.7 kg.

(a) Find the impulse of the force.


(b) Find the final velocity of the object if it is initially at rest.


(c)Find the final velocity of the object if it is initially moving along the x-axis with a velocity of
−1.9 m/s.

Wouldn't the velocity be the area under the graph be the velocity?
 
Physics news on Phys.org
MG5 said:
Heres the graph.

6-p-015.gif


Heres the problem

Mass of the object is 1.7 kg.

(a) Find the impulse of the force.

(b) Find the final velocity of the object if it is initially at rest.

(c)Find the final velocity of the object if it is initially moving along the x-axis with a velocity of
−1.9 m/s.

Wouldn't the velocity be the area under the graph be the velocity?
No.

It's not an acceleration vs time graph.
 
Why don't you show us what you did and where you're stuck on a, b, and c.
 
howie8594 said:
Why don't you show us what you did and where you're stuck on a, b, and c.

Don't even know where to start.
 
MG5 said:
Don't even know where to start.
Well, you could use the impulse-momentum theorem.

Or

How is the graph related to an acceleration vs. time graph?
 
If you want to find the impulse, it's force * time. Look at your graph again. It alone should be enough to find the impulse. The area of the graph does not represent the final velocity.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

How Does Impulse Relate to Momentum Change in Physics Problems?
Replies
7
Views
2K
Finding acceleration from Velocity vs Position graph
Replies
2
Views
4K
Collisions, Impulses and Impulsive Tension
Replies
17
Views
4K
Momentum and impulse of a football
Replies
2
Views
2K
Finding the change in velocity from an acceleration vs time graph
Replies
1
Views
3K
Golf club 🏌️and ball ⛳ impulse problem
Replies
19
Views
2K
How Do You Calculate Impulse and Mass from a Non-Linear Force-Time Graph?
Replies
3
Views
4K
Final Velocity of a car with a opposing decreasing drag force
2
Replies
57
Views
2K
Momentum and Impulse Problem with a Ball bouncing off a Wall
Replies
9
Views
3K
Horizontal impulse on a ball at rest on a plane (with friction)
Replies
14
Views
3K

Hot Threads

Recent Insights

Back
Top