An object of mass 50kg moves at 50m/s round a circular path of radius 10m.calculate

i)centripetal acceleration.
ii)centripetal force need to keep it in it's orbits..
Please show all caculations detains.

i) V^2/R

ii) M V^2/R

M = 50 kg
R = 10 m
V = 50 m/s

Do the calculations

25000

Sure, I'd be happy to help you with that. Let's calculate the centripetal acceleration and centripetal force using the given information.

i) Centripetal Acceleration:

We know that the centripetal acceleration can be calculated using the formula:

a = (v^2) / r

where:
a = centripetal acceleration
v = velocity
r = radius

Given:
Mass of the object (m) = 50 kg
Velocity of the object (v) = 50 m/s
Radius of the circular path (r) = 10 m

Substituting the values into the formula, we get:

a = (50^2) / 10

a = 2500 / 10

a = 250 m/s^2

Therefore, the centripetal acceleration is 250 m/s^2.

ii) Centripetal Force:

The centripetal force can be calculated using the formula:

F = (m * a)

where:
F = centripetal force
m = mass
a = centripetal acceleration

Given:
Mass of the object (m) = 50 kg
Centripetal acceleration (a) = 250 m/s^2

Substituting the values into the formula, we get:

F = (50 * 250)

F = 12500 N

Therefore, the centripetal force needed to keep the object in its orbit is 12500 N.

Let me know if you need any further assistance!

To calculate the centripetal acceleration and centripetal force, we need to use the following formulas:

i) Centripetal acceleration (a) can be calculated using the formula:
a = v² / r

ii) Centripetal force (F) can be calculated using the formula:
F = m * a

Given:
Mass (m) = 50 kg
Velocity (v) = 50 m/s
Radius (r) = 10 m

i) Centripetal acceleration:
To calculate the centripetal acceleration, we'll use the formula:
a = v² / r

Plugging in the values:
a = (50 m/s)² / 10 m

Calculating:
a = 2500 m²/s² / 10 m
a = 250 m/s²

So, the centripetal acceleration is 250 m/s².

ii) Centripetal force:
To calculate the centripetal force, we'll use the formula:
F = m * a

Plugging in the values:
F = 50 kg * 250 m/s²

Calculating:
F = 12500 kg⋅m/s²
F = 12500 N

So, the centripetal force needed to keep the object in its orbit is 12500 N.