1) A car travels counterclockwise around a flat circle of radius 0.5 km at a con

Question

1) A car travels counterclockwise around a flat circle of radius 0.5 km at a constant speed of 30 m/s. When the car is at a point A point where the instantaneous belocity is due north, what is the car's acceleration?

2) An Airplane moves 100 m/s as it travels around a vertical circular loop which has a 1.0-km radius. What is the magnitude of the resultant force on the 50 kg pilot of this plane at the bottom of this loop?

3) A 4.0 kg block sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 200 N/m) which has its other end fixed. If the block has a speed of 4.0 m/s as it passes through the equilibrium position, what is its speed when it is 20 cm from the equilibrium position?

4) A 2.0 kg block slides down a plane (inclined at 25 degree with the horizontal) at a constant speed of 2.0 m/s. At what rate is the frictional force changing the mechanical energy of the block?

5) Each of two vector D1 and D2, lies along a coordinate axis in the xy plane. Each vector has its tail at the orgin, and the dot product of the two vectors is D1XD2 = 1. Which angles are possible?

Explanation / Answer

4) along the incline ... the forces are ... compnent of weigth of the block and the frcition..

the component of weight along the inclone = m*g*sin theeta...

it is given that the block is moving down with a constant speed ... so it means the acceleration of the block along the incline = 0 ..

so it means that the net force acting along the incline = 0 ..

so it means the friction should balance mgsin theeta..

so.. friction = mg sin theeta...
the rest is already shown..

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