6 A block of mass 25 kg is pulled along horizontal ground by a force of magnitude 50 N inclined at \(10 ^ { \circ }\) above the horizontal. The block starts from rest and travels a distance of 20 m . There is a constant resistance force of magnitude 30 N opposing motion.
- Find the work done by the pulling force.
- Use an energy method to find the speed of the block when it has moved a distance of 20 m .
- Find the greatest power exerted by the 50 N force.
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After the block has travelled the 20 m , it comes to a plane inclined at \(5 ^ { \circ }\) to the horizontal. The force of 50 N is now inclined at an angle of \(10 ^ { \circ }\) to the plane and pulls the block directly up the plane (see diagram). The resistance force remains 30 N . - Find the time it takes for the block to come to rest from the instant when it reaches the foot of the inclined plane.
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