Mechanics | Relativity Answers

A dollar coaster travels 41.1 m at an angle of 40.0° above the horizontal. How far does it move horizontally and vertically?

a motorcycle accelerates from rest for 6.0 seconds at 4.0 m/s [forwards] and then the acceleration stops and it travels at a constant velocity for another 4.0 seconds. what is the velocity of the motorcycle at the end of the first 6.0 seconds? How far does the motorcycle travel in the 10 seconds?

Jane’s flight from Nairobi to Guangzhou can be approximated by a 8302km vector due west. The jet that Jane is flying on has a top speed of 700km/h and there is 80km/h wind blowing in the direction of 60o south of east. What is the shortest amount of time Jane’s flight can take?

A pencil is knocked horizontally off the edge of a desk at 2.0 ms -1. The desk is 65 cm high.
a) How long does it take the pencil to reach the floor? Ignore air resistance

b) what horizontal distance does the pencil travel during this time?

A box of mass 4.5kg is pull at a constant speed of 2m/s along a rough horizontal floor by a horizontal force of magnitude 15N.
(i) find the coefficient of friction between the box and the floor. The horizontal pulling force is now removed. Find:
(ii) the acceleration of the box in the subsequent motion.

A model car of mass 4kg moves in a straight line along horizontal ground. The resistance to motion of the car has magnitude 4N. The car batteries provide a constant power of 20watts. Calculate:
(i) the acceleration of the car at an instant when it's speed is 2m/s.
(I) when the car passes point A, it is moving with constant spread Vm/s. Show that V=5m/s

A 1.4-kg object is pulled horizontally along the floor against 3.2 N of kinetic friction. If the object accelerates at 5.8 m/s2, what is the value of the applied force?

A stone is thrown downwards from the top of the castle wall with an initial speed 20.0m/s. The wall is 30m high
a) what is the stone's speed just as it arrives at ground level?
b) How much time between throwing and landing?
c) sketch position, speed and accelerarion graphs to show what happened

A curling rock is thrown and come to rest 40 m away 26 seconds later
a) what rate of acceleration is indicated?
b) what was the initial speed ?
c) sketch seprate graphs to show the position, speed and acceleration of the rock during those 26 seconds

You do 50 Joules of work in 3.5 seconds. How much power do you use?