Two crates of different masses sit on a frictionless ice rink. The same constant horizontal force is applied to each of the crates so the crates accelerate towards the east. If the force is applied each crate over the same distance, which of the following is true? Please explain.

a. The crates will end up with the same momenta.

b. Both their momenta and their kinetic energies will be the same.

c. The crates will end up with the same kinetic energies.

d. Neither their momenta nor their kinetic energies will be the same.

Which is given by W= F.D where F denotes force and D distance. Let us assume the Force be 10N and the distance be 10m (constant force and same distance given in the statement.) The work done i.e., kinetic energy will be 100 Joules for both crates.

Working from here, (rest of the answer is handwritten on the attachment. Please acknowledge.

snehashish65 snehashish65 · Answer 2 · 2021-10-09T13:40:52+02:00

Answer:

The crates will end up with the same kinetic energies. Hence, statement (c) is true.

Explanation:

(a)

The expression for the momentum is:

[tex]p=mv[/tex]

Here, p is momentum, m is mass, and v is the velocity.

Clearly, objects have different mass. And momentum depends on mass of object .Hence, for different mass, each object will have different momentum.

Thus, this statement is false.

(b)

The work done on crate is stored in the form of kinetic energy of crates. Therefore,

Work done = Kinetic energy

[tex]W= KE\\F \times d =KE[/tex]

Here, F is the force and d is distance covered.

Since, each crate is applied with same constant force, covered same distance. Therefore, both crates will have same kinetic energy, but not same momentum.

Thus, this statement is false.

(c)

As mentioned in previous, the crates will have same kinetic energy.

Thus, this statement is true.

(d)

Both crate have same value of kinetic energy, but different momentum.

Thus, this statement is false.

For more details, refer to the link:

https://brainly.com/question/24030570?referrer=searchResults