What is the acceleration of a 45 kg mass pushed with 15 N of force? What is the acceleration if the force changes to 25 N? What if the mass changes to 70 kg?

Respuesta :

F = ma
Rearrange this so acceleration is the subject:
A = f/m

Now input your values into this equation for the first question :
A = f/m
A = 15/45
A = 0.33333333 m/s

Then using this same equation change the force of 15 to 25 :
A = f/m
A = 25/45
A = 0.55555556 m/s

For the last question keep the force of 15N but change the mass to 70kg into the same equation :
A = f/m
A = 15/70
A = 0.21 m/s (rounded)

Answer:

Part a)

[tex]a = \frac{1}{3} m/s^2[/tex]

Part b)

[tex]a = \frac{5}{9} m/s^2[/tex]

Part c)

[tex]a = \frac{3}{14} m/s^2[/tex]

Explanation:

As per Newton's II law we know that

F = ma

Now we know that

m = 45 kg

F = 15 N

so we will have

[tex]15 = 45 a[/tex]

[tex]a = \frac{15}{45} = \frac{1}{3} m/s^2[/tex]

Now we have

m = 45 kg

F = 25 N

now again from Newton's Law

[tex]25 = 45 a[/tex]

[tex]a = \frac{25}{45} m/s^2[/tex]

[tex]a = \frac{5}{9} m/s^2[/tex]

Now if mass is changed to 70 kg

again we have

[tex]15 = 70 a[/tex]

[tex]a = \frac{15}{70}[/tex]

[tex]a = \frac{3}{14} m/s^2[/tex]