Answer:
1:1.5
Explanation:
Net force f causes mass m1 to accelerate at rate
a. a net force of 3f causes mass m2 to accelerate at rate 2a. what is the ratio of mass m1 to mass m2?
force is that which changes a body's state of rest or uniform motion in a straight line
mass is the quantity of matter in a body
acceleration is cane in velocity per time
form newtons second law of motion, we know tat te rate of cane in momentum is directly proportional to te force applied
f=km(v-u)/t.
k=1
(v-u)/t.=a
f=ma
for the first case
f=m1a
m1=f/a
for the second case
3f=m2*2a
m2=3f/2a
equating the first case with the second case
f/a=1.5f/a
1:1.5
the ratio of mass m1 to mass m2
The ratio of mass m₁ to mass m₂ is 1:1.5.
A force is a push or pull upon an object resulting from the object's interaction with another object.
It is summarized by the equation:
Thus, an object of constant mass accelerates in proportion to the force applied.
It says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate
For the first case
[tex]F=m_1.a\\\\m_1=\frac{F}{a}[/tex] (i)
For the second case
[tex]3F=m_2*2a\\\\m_2=\frac{3F}{2a}[/tex] (ii)
On equating equations (i) and (ii)
[tex]\frac{F}{a} =1.5\frac{F}{a}[/tex]
The ratio of mass m₁ to mass m₂ is 1:1.5.
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