You push a shopping cart filled with groceries (total mass = 20 kg) by applying a force to the cart 30° from the horizontal. if the force you apply has a magnitude of 86 n, what is the cart's acceleration? assume negligible friction.

Refer to the diagram shown below.

The horizontal component of force acting on the cart is

86 cos (30) = 74.478 N

If the cart's acceleration is a, then (with friction ignored)

(20 kg) * (a m/s²) = 74.478 N

a = 74.478/20 = 3.724 m/s²

Answer: 3.724 m/s²