Mechanics | Relativity Answers

The rear wheel of a 150 kg tricycle accidentally ran over a nail. The circular tip of the nail has a diameter of 0.001 m. How much pressure did the wheel of the tricycle experience assuming that the entire weight of the tricycle is concentrated on the rear wheel that ran over the nail.

Given two vectors A=6i + 3j - k and B = 4i -5j + 8k , find the magnitude of the vector 2A - 3B.

Find the curl of the function r= xi+yj over x+y

A car is stopped at a traffic light. It then travels along a straight road such

that its distance from the light is given by:

𝑥(𝑡) = 2.4𝑡

2 − 0.120𝑡

3

The take-off velocity of a small jet plane on a straight runway is 55 ms. If the average acceleration of the plane during take-off is 2.2 ms^2, calculate the time the plane will take to reach its take-off velocity.

Two objects of equal masses collide head-on while moving in the opposite direction and joined together. Show that the fractional loss of original kinetic energy of the objects is given by the expression; E=1/2+V1V2/V1²+V2²

a= 4i-2j-3k. b = 2i-j+6k. c=3i+j+k. Calculate 1). a+b+c. 2). a-b+2c. 3). do such that 2a-3b+D=0. 4). a.(b*c). 5). a*(bxc) 5). The angle between the vectors, a and b.

Calculate it's average speed

The specific weight of glycerin is 78.6 lb/ft3 . Compute its density and specific gravity. What is its specific weight in kN/m3 ?

if the hill is 50 m high, can it supply water

to the top floor of a 100-m tall office building? If

not, how does water get to that floor?