Math, asked by ayesha46304, 9 days ago

The force, F Newtons, exerted by a magnet on a metal object is inversely proportional to the square of the distance d cm.

When d=2 cm, F= 50 N

(A) Express F in terms of d.

(B) Find the force when the distance between the magnet and metal is 10cm.

Can someone help my poor brain cells?

Answers

Answered by gkuntal733
1

Answer:

Solution−

Let assume that

Speed of the train be x km per hour

Speed of the car be y km per hour

Case :- 1

A man travels 600km apart by train and partly by car. It takes 8 hours and 40 minutes if he travels 320 km by train and rest by car.

Distance travelled by train = 320 km

So,

Distance travelled by car = 600 - 320 = 280 km

Time taken = 8 hr 40 min

So,

\begin{gathered}\rm \: \dfrac{320}{x} + \dfrac{280}{y} = 8\dfrac{40}{60} \\ \end{gathered}

x

320

+

y

280

=8

60

40

\begin{gathered}\rm \: \dfrac{320}{x} + \dfrac{280}{y} = 8\dfrac{2}{3} \\ \end{gathered}

x

320

+

y

280

=8

3

2

\begin{gathered}\rm \: \dfrac{320}{x} + \dfrac{280}{y} = \dfrac{26}{3} - - - (1) \\ \end{gathered}

x

320

+

y

280

=

3

26

−−−(1)

Answered by dishakhan9221
3

Answer:

mark me as brainliest

Step-by-step explanation:

The force, F newtons, exerted by a magnet on a metal object is inversely

proportional to the square of the distance d cm.

When d = 2 cm, F= 50 N.

Express F in terms of d.

Answer:

F = 200/d^2

Step-by-step explanation:

F is inversely proportional to d^2

The equation is;

F = k/d^2

K = F•d^2

so to get k, we substitute the given values

K = 50 * 2^2

K = 50 * 4

K = 200

So we have that;

F * d^2 = 200

F = 200/d^2

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