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7. Heather can apply a force of 72N to a wagon in which sits her little brother,
Bryce. The combined mass of Bryce and the wagon is 48kg. If starting from
rest, how much speed will the wagon pick up after Heather has pushed the
wagon for 3s?


Sagot :

This question involves the concepts of Newton's Second Law of Motion and the equations of motion.

The wagon will pick up a speed of "4.5 m/s" after Heather has pushed the wagon for 3 s.

Applying Newton's Second Law of Motion to this situation:

[tex]F=ma\\\\a=\frac{F}{m}[/tex]

where,

a = acceleration = ?

F = Force applied = 72 N

m = combined mass of car and boy = 48 kg

Therefore,

[tex]a=\frac{72\ N}{48\ kg}[/tex]

a = 1.5 m/s²

Now, we will use the first equation of motion to find out the final speed of the wagon:

[tex]v_f=v_i+at[/tex]

where,

vf = final speed = ?

vi = initial speed = 0 m/s

t = time taken = 3 s

Therefore,

vf = 0 m/s +(1.5 m/s²)(3 s)

vf = 4.5 m/s

Learn more about Newton's Second Law of Motion here:

brainly.com/question/13447525?referrer=searchResults

The attached picture shows Newton's Second Law of Motion.

View image hamzaahmeds
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