Question

A motivated mule can accelerate an empty cart of mass m - 180 kg from rest to 5.0 m/s in 10 s.
If the cart is loaded with 550 kg of wood, how long will it take the mule to get the cart to 4.6 m/s? Assume a constant acceleration. Also assume the mule exerts the same force as when the cart is
empty

Answer 1

When the mass of the cart changes, the time to travel at 4.6 m/s is 28.11 s.

Acceleration of the mule

The acceleration of mule is calculated as follows;

a = v/t

a = 5/10

a = 0.5 m/s²

For constant applied force

F1 = F2

m₁v₁/t₁ = m₂v₂/t₂

(180 x 5) / 10 = (550 x 4.6)/t

90 = 2530/t

t = 2530/90

t = 28.11 s

Thus, when the mass of the cart changes, the time to travel at 4.6 m/s is 28.11 s.

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