Question

A birdcage with mass 22.5kg at rest on a living room floor is acted on by a net horizontal force of

140.N.


(a) What acceleration is produced?





(b) How far does the crate travel in 10.5s?

Answer 1

Part a)

As we know by Newton's II law

F = ma

here we have

m = 22.5 kg

F = 140 N

now we will have

140 = 22.5 (a)

`a = (140)/(22.5)`

`a = 6.22 m/s^2`

Part b)

now by kinematics we know that

`d = v_i t + (1)/(2)at^2`

`d = 0 + (1)/(2)6.22(10.5)^2`

`d = 343 m`

so distance will be 343 m

Answer 2

m = mass of the birdcage = 22.5 kg

F = net force acting on birdcage to move it = 140 N

a = acceleration produced due to the force applied

a)

Using newton's second law

a = F/m

inserting the values

a = 140/22.5

a = 6.22 m/s²

b)

t = time of travel of crate = 10.5 s

v₀ = initial velocity of the crate = 0 m/s

X = displacement of the crate

displacement of the crate is given as

X = v₀ t + (0.5) a t²

X = 0 (10.5) + (0.5) (6.22) (10.5)²

X = 342.88 m