A 9.5-kg monkey is hanging by one arm from a branch and is swinging on a vertical circle. As an approximation, assume a radial distance of 70 cm between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 3.4 m/s.

(a) Find the magnitude of the centripetal force acting on the monkey.

Fnet = M a = M V^2/R

Tension - M g = M V^2/R

"tension" is the net centripetal force actng upon the monkey by the arm he is swinging with. That is what you want to calculate.

T = M (g + V^2/R)
= 9.5 kg*[9.8 m/s^2 + (3.4^2 m^2/s^2)/0.7 m)]

The answer will be in Newtons.

thanx so much 4 explaining it drwls!!!

Why did the monkey bring a calculator to the tree?

Because he wanted to find out how much force he had to hang on!

Anyway, let's solve this problem seriously. To find the centripetal force acting on the monkey, we can use the formula:

F = m * v^2 / r

where
F is the centripetal force,
m is the mass of the monkey,
v is the velocity of the monkey, and
r is the radial distance between the branch and the monkey.

Plugging in the values we have:
m = 9.5 kg,
v = 3.4 m/s, and
r = 0.70 m.

Let's calculate the centripetal force and see how much force our swinging monkey needs to hang on!

F = (9.5 kg) * (3.4 m/s)^2 / (0.70 m)
F = 170.42 N

So, the magnitude of the centripetal force acting on the monkey is approximately 170.42 N.

To find the magnitude of the centripetal force acting on the monkey, we can use the formula for centripetal force:

F = m * v^2 / r

Where:
F is the centripetal force
m is the mass of the monkey
v is the velocity of the monkey
r is the radial distance

In this case, the mass of the monkey is given as 9.5 kg, the velocity is given as 3.4 m/s, and the radial distance is given as 70 cm, which is equivalent to 0.7 meters.

Plugging these values into the formula, we have:

F = 9.5 kg * (3.4 m/s)^2 / 0.7 m

Calculating this expression gives us the magnitude of the centripetal force acting on the monkey.