A box of mass 50kg is pulled by a force of 18 newton find the acceleration of the box if mass of the box is doubled and same force.
Please help
Answers
Answer:
Accelaration of box is 1.6 \frac{m}{s^{2}}
s
2
m
Accelaration after mass is halved is 3.2 \frac{m}{s^{2}}
s
2
m
Given:
Mass= 50 kg (m=50kg)
Force= 80N (F=80N)
Solution:
We know that Force=Mass × Acceleration
F=ma
\begin{gathered}\begin{array}{l}{80=50 \times a} \\ {a=\frac{80}{50}=1.6 \frac{m}{s^{2}}}\end{array}\end{gathered}
80=50×a
a=
50
80
=1.6
s
2
m
Now, we have to calculate the acceleration if the mass is halved. This means that mass is now 25 kg.
So, now m=25 kg
F=80N
F=ma
\begin{gathered}\begin{array}{l}{80=25 a} \\ {a=\frac{80}{25}=3.2 \frac{m}{s^{2}}}\end{array}\end{gathered}
80=25a
a=
25
80
=3.2
s
2
m
So, when mass is halved, the acceleration is doubled. This means that the relationship between mass and acceleration is inversely proportional.
Explanation:
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