Question

a force of 200N acts on a body . If the unit of mass and length gets doubled and unit of time halved then the numeric value of the force in new system becomes​

Answer 1

Answer:

3200

Explanation:

Answer:

Explanation:

Given Force=200N

We know that

F=Mass×Acceleration

Consider dimensional formulas

For Mass the Dimensional formula=M¹L⁰T⁰

      Acceleration the dimensional formula=M⁰L¹/T²

Now on substituting these values

We get

F=(M¹L⁰T⁰)×(M⁰L¹/T²)

F=M¹L¹/T²

Here Mass is and length are doubled and unit of time is halved

New force=$\frac{(2M).(2L)}{(T/2)^{2} }$=16F=200×16=3200

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