Question

An object of mass 0.50 kg is released from the top of a building of height 6 m. The object experiences a horizontal constant force of 1.2 N due to a wind blowing parallel to the face of the building.

(a) Find the time it takes for the object to strike the ground. s

(b) What is the magnitude of the acceleration of the object? m/s2

c) Through what horizontal distance does the object move before it hits the ground?

Answer 1

considerations:
is selected as ground source
All vector that points upward is positive
All vector that points downward is negative

(a) Find the time it takes for the object to strike the ground. s

coportando continues vertically as a movement in free fall.

This equation is applied.

where:

Position when it reaches the ground.

initial position

initial vertical speed

acceleration of gravity

evaluated numerically

expression for time

time it takes to reach ground

(b) What is the magnitude of the acceleration of the object? m/s2

The body has two accelerations

a vertical acceleration

and a horizontal acceleration

Newton's second applies to the horizontal axis

but

and

horizontal acceleration is

Applying the Pythagorean theorem.
The net acceleration is equal to

c) Through what horizontal distance does the object move before it hits the ground?

The following equation is used.

initial horizontal position

initial horizontal velocity

horizontal acceleration

that moves time

evaluated numerically