Question

Approximately what applied force is needed to keep the box moving with a constant velocity that is twice as fast as before? Explain

Answer 1

Complete question:

A force F is applied to the block as shown (check attached image). With an applied force of 1.5 N, the block moves with a constant velocity.

Approximately what applied force is needed to keep the box moving with a constant velocity that is twice as fast as before? Explain

Answer:

The applied force that is needed to keep the box moving with a constant velocity that is twice as fast as before, is 3 N

Force is directly proportional to velocity, to keep the box moving at the double of initial constant velocity, we must also double the value of the initially applied force.

Step-by-step explanation:

Given;

magnitude of applied force, F = 1.5 N

Apply Newton's second law of motion;

F = ma

`F = m((v)/(t) )\\\\F = (m)/(t) v\\\\Let \ (m)/(t) \ be \ constant = k\\F = kv\\\\k = (F)/(v) \\\\(F_1)/(v_1) = (F_2)/(v_2)`

The applied force needed to keep the box moving with a constant velocity that is twice as fast as before;

`(F_1)/(v_1) = (F_2)/(v_2) \\\\(v_2 = 2v_1, \ and \ F_1 = 1.5N)\\\\(1.5)/(v_1) = (F_2)/(2v_1) \\\\1.5 = (F_2)/(2)\\\\F_2 = 2*1.5\\\\F_2 = 3 N`

Therefore, the applied force that is needed to keep the box moving with a constant velocity that is twice as fast as before, is 3 N

Force is directly proportional to velocity, to keep the box moving at the double of initial constant velocity, we must also double the value of the applied force.