A 10 N net force acts on Celia's sled for 2 s, and the sled gets moving. On a second run from rest, the same 10 N net force acts for 4 s.
Which run gives the sled more momentum?
The force matches: 10 N on each run. Only the time differs.
The 10 N net force gives the sled the same acceleration on both runs.
Held for twice as long, the same acceleration adds twice the velocity.
More velocity on the same mass means more momentum.
So the 4 s run gives the sled more momentum. Double the time, and the momentum gained doubles.
A 25 N net force acts on one of two identical wagons for 2 s, and on the other for 6 s. Which wagon gains more momentum?
A 16 N net force acts on one of two identical carts for 6 s, and on the other for 3 s. Which cart gains more momentum?
The forces are equal, so the times decide.
6 s is twice 3 s.
The 6 s cart gains more momentum, twice as much.
The time a fixed net force acts is tripled, from 2 s to 6 s. What happens to the momentum gained?
The same force adds velocity at the same rate.
Acting three times as long, it adds three times the velocity.
The momentum gained triples.
Dmitri says: 'With the force fixed, a net force acting for a longer time gives a cart a larger momentum gain.' Is Dmitri correct?
Bastian says: 'Two equal net forces act on identical carts, one for 3 s and one for 6 s. The carts gain the same momentum, because the forces are equal.' Is Bastian correct?
The time a fixed net force acts on a wagon is quadrupled. What happens to the wagon's momentum gain?
In which pair does each change, on its own, increase a cart's momentum gain?
Two equal net forces act on identical rowboats, one for 10 s and one for 5 s. Which statement is correct?