# The shopping cart is moved from its place, applying a force of 14 N to it at an angle of 45 degrees to the horizon.

The shopping cart is moved from its place, applying a force of 14 N to it at an angle of 45 degrees to the horizon. With what acceleration does the trolley move on the horizontal floor if its mass is 10 kg, and friction can be neglected?

To find the acceleration of the used cart with products, we project all the forces on the ОХ axis: m * a = F * cosα, from where we express: a = F * cosα / m.

Values of variables: F – force applied to the shopping cart (F = 14 N); α – force application angle (α = 45º); m is the mass of the cart (m = 10 kg).

Calculation: a = F * cosα / m = 14 * cos 45º / 10 = 0.99 m / s2.

Answer: The used grocery cart must move with an acceleration of 0.99 m / s2.

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