Question

What force (in N) must be applied to a 500.0 kg crate on a frictionless plane inclined at 30° to cause an acceleration of 5.0 m/s^2 up the plane? (Enter the magnitude.)

Answer 1

The force must be applied to the crate on a frictionless plane to cause the acceleration is is 4,243.4 N

The given parameters;

• mass of the crate, m = 500 kg
• inclination of the angle, θ = 30⁰
• acceleration of the crate, a = 5 m/s²

The force that must be applied to the crate to cause the acceleration is calculated as follows;

F = ma

∑Fₓ = 0

mgcosθ - F$_k$ = F

where;

• F$_k$ is the frictional force on crate

mgcosθ - 0 = F

mgcosθ = F

500 x 9.8 x cos(30) = F

4,243.4 N

Thus, the force must be applied to the crate on a frictionless plane to cause the acceleration is is 4,243.4 N.

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