(a) (i) Define uniform acceleration.

(ii) Write an equation that relates linear velocity, angular velocity and radius
of path in circular motion.

(b) Two forces 30 N and 40 N act at right angles to each other. Determine by scale drawing, the magnitude and direction of the resultant force,.using a scale of 1 cm to 5 N.

(c) Explain why ships are usually refilled with sand and water after they have been emptied of their cargo.

(d) A crate of drinks of mass 20 kg is placed on a plane inclined at 30° to the horizontal. If the crate slides down with a constant speed, calculate the:

(i) co-efficient of kinetic friction;

(ii) magnitude of the frictional force acting on the crate. [ g = 10 ms\(^{-2}\)]

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Chrisbridge
2 years ago

the Frictional force can also be calculated as follows, since the crate slides down with a constant speed.

Frictional force = to the force sliding it down the plane
Frictional force = mgsin θ = 20 x 10 sin 30 = 20 x 10 x 0.5 = 100 N

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