Mechanics | Relativity Answers

Ball landed on the ground with impact velocity of 30 m/s.

a.) from how high it was dropped?
b.) where was it at time= 0.5s?
c.) how long did it take to fall?

Need an explanation please.

Prove it mathematically and in words why a launch angle of 45 degrees will provide the max range of a projectile.

Gun shoots a bullet at 2500m/s at an angle of 65 degrees above the horizontal. Neglecting air resistance, find its range.

A tomato gun can fire a tomato at 17.2 km/h and is aimed at an very innocent bystander. Upon impact, if the tomato stops within 6.6cm, find the acceleration experienced by the tomato.

My question is: Construction elevator is moving downward at 5 m/s. If the worker on the elevator drops his pliers and it hits the ground 10 seconds later, how high was he when he dropped the pliers?

A block of mass 6.69 kg is on a horizontal surface. The coefficient of kinetic friction between the block and the surface is 0.159.
a) What horizontal force would be required to keep the block moving at a constant velocity?
b) What horizontal force is required to accelerate the block at 4.67 m/s^2 ?

The figure below shows a Ferris wheel that rotates four times each minute. It carries each car around a circle of diameter 16.0 m.
What force (magnitude and direction) does the seat exert on a 43.0-kg child when the rider is halfway between top and bottom?
magnitude N
direction

A projectile is launched with speed Vo at an angle "theata" above the horizontal. The launch point is at a height h above the ground.
(a) show that if air resistance is neglected the horizontal range, R that the projectile travels before striking the ground is R = Vo*cos(theata)\g(VoSin"theat a"+√Vo^2Sin^2" theata"+2gh).
(b) what will be the expression for R if the launch point is at the ground level so that h = 0
(c)what

A ladder 4 m long (whose weight may be neglected) is being carried by a builder, with his tools weighing 50 N at one end and a tin of paint weighing 30 N at the other end. How far from the end with the tools should he place his shoulder so that the ladder is balanced?

A 60-kg soccer player jumps vertically upwards and heads the 0.45-kg ball as it is descending vertically with a speed of 24.0 m/s. If the player was moving upward with a speed of 4.28 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards? Assume the velocity of the player directly after the collision is upwards with a magnitude of 3.87 m/s.