Classical Mechanics Answers

Find Pluto's

a) minimum distance from the sun

b) maximum distance from the sun

Note:

G= 6.67x10^-11 Nm²/kg²

Conversion:

a projectile is fired from a point at125m/s so as to strike a point a horizontal distance of 100m and 200m higher than the point of firing neglecting air resistance, calculate (a) the angle with the horizontal, at which the projectile should be fired in order to strike the point in minimum time (b) the time taken by the projectile to strike the point

an arrow leaves a bow at 25m/s (a) what is the maximum range? (b) at what two angles above the the horizontal can it be sent to reach target 50m away?

A car starts to move at rest. It travels first 3km with a constant accelaration. Then it travels a distance of 7km with the obtained constant velocity. Then it decelerates for 2.5km and comes to rest. The total time taken for the journey is 15 minutes. The car travels along a straight road. Find the accelaration.

From two points each on the opposite sides of a river . The angles of elevation of the top of an 80 feet tree are 60° and 30°. The points and the tree are in the same straight line , which is perpendicular to the river. How wide is the river ?

A man 5 feet tall casts a shadow of 5 feet on the ground. Find the angle of elevation of the sun ?

Find the length of a loading ramp which extends from a building to the ground. The lower end of the ramp is 6meter from the building , and the upper is 8 meter from the building.

What is the perimeter needed to fence a right triangle with legs 63feet and 16 feet.

The lenght of a string between a kite and Point A on the ground is 442meter. If the height of the kite is 42metwr from the ground.Find the horizontal angle and distance of the kite from point A.

Show that superposition principle does not hold for a non linear DE like; d²x/d²t + cx² = 0 where c is constant.