Mathematics: for a moving object, the force acting on the object varles directly with the object s acceleration. when a force of 25 n acts on a certain object, the accelerationof the object is 5 m/s. if the acceleration of the object becomes 9 m/s , what is the force?

Step-by-step explanation:hvdygdec...

for a moving object, the force acting on the

chaseking120418

10.01.2022

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According to the Question,

$\large{\sf{ f \propto \: a}}$

From the Question,Initial Acceleration,a = 5 m/s²Force at a = 5 m/s²,f = 25 NFinal Acceleration,A = 9 m/s²To find

Force exerted on the object at a = 9 m/s²

We Know that,

$\huge{\boxed{ \boxed{ \sf{f = ma}}}}$

Firstly,we need to find the mass of the object

Thus,

$\sf{m = \frac{f}{a} } \\ \\ \implies \: \sf{m = \frac{25}{5} } \\ \\ \huge{ \implies \: \sf{m = 5 \: kg}}$

Now,

$\sf{F = mA} \\ \\ \implies \: \sf{F = (5)(9)} \\ \\ \huge{ \implies \: \sf{F = 45 \: N}}$

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