a 2.0kg mass is intally moving at a speed of 10m/s due north, when a constant
eastward 10.on force is applied to it for 3.0 seconds. which direction is the mass going after that?
(a) 27° east of north
(b) 56. east of north
(c) 34. east of north
(d)18. east of north

Option(B) 56. east of north

Explanation:

2D Motion

If objects are moving in an XY plane subject to net force (F), acceleration (a), velocity (v) and displacement (r) in both axes, we must consider all those magnitudes as vectors because they have components in x and y.

If is the acceleration vector, then

Assuming the positive direction to the right and upwards, we are given the following data

The x-component of the velocity is zero because it due north.

The force is applied eastward;

t=3 sec

From the formula

we can solve for

We can now compute the velocity at t=3 sec

Adding and simplifying

The  direction is given by the angle computed as

This angle is north of east, the required angle is

a straight line sloped