Problem 3: A mother pushes her child on a swing so that his speed is 9.5 m/s at

Question

Problem 3: A mother pushes her child on a swing so that his speed is 9.5 m/s at the lowest point of his path. The swing is attached to a point 2.2 m above the child's center of mass when the swing is motionless. Part (a) What is the centripetal acceleration of the child at the low point in m/s? Numeric : A numeric value is expected and not an expression. Part (b) What is the magnitude of the force that the child exerts on the seat at the lowest point if his mass is 16.5 kg in N? Numeric A numeric value is expected and not an expression.

Explanation / Answer

(A) a_c = v^2 / R

a_c = 9.5^2 / 2.2

a_c = 41 m/s^2

(B) Applying F_net = m a

Fc - m g = m a

Fc = m (a + g) = 16.5(9.8 + 41)

Fc = 839 N

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