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A body of mass 2kg moves round a circle of radius 5m with a constant speed of 10m/s. Calculate the force toward the centre of the circle​

User Stevoman
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2 Answers

3 votes

Final answer:

The force toward the center of the circle is calculated using the formula for centripetal force and is found to be 40 Newtons.

Step-by-step explanation:

To calculate the force toward the center of the circle for a body moving in a circle at a constant speed, we use the formula for centripetal force. The centripetal force (Fc) is given by the mass (m) of the body times the centripetal acceleration (ac). The centripetal acceleration is the speed squared (v^2) divided by the radius (r) of the circle.

Using the given values: m = 2 kg, v = 10 m/s, and r = 5 m, we get:

Fc = m * ac = m * (v^2 / r) = 2 kg * (10 m/s)^2 / 5 m = 40 N.

Therefore, the force toward the center of the circle is 40 Newtons.

User Andre Borges
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4.4k points
3 votes

Answer:

F = 5

Step-by-step explanation:

F = m x v^2/r = 2 x 10^2/5 =200/5 = 40 (N)

User Shaquona
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