Mechanics | Relativity Answers

a) Calculate the area of a triangle whose vertices are given by (3, −1, 2), (1, −1, 2) 

and (4, −2, 1). (5)

b) Determine the unit tangent vector to the following curve at 

t = 1

r i j 5 k

http://prnt.sc/12ki6ls

This is the link for q1,q2,Q3

In Q3 there is additional data that pulleys are weightless and frictionless and there is also friction between block and inclined surface and coefficient of friction is 0.2 for both blocks.

A cannon ball is catapulted towards the castle. The cannonball's velocity when it leaves the catapult is 40 m/s at an angle of 37° with respect to the horizontal, and the cannonball is 7 m above the ground at this time. a) Calculate the maximum height above the ground reached by the cannonball. b) Assuming the cannonball makes it over the castle walls and lands down on the ground, calculate at what horizontal distance from its release point will it land. c) Calculate the x- and y- components of the cannonball's velocity just before it hits the ground. [Hint : y-axis points up]

You drop a stone into a deep well and hear it hit the bottom 3.2 s later. This is the time it takes for the stone to fall to the bottom of the well, plus the time it takes for the sound to reach you. Calculate how deep the well is. Sound travels about 343 m/s in air.

i want to ask a question but this question contain figure so how can i ask it

A large chunk of ice with mass of 15 kg falls from a roof 8 m above the ground. What is the impact speed of the ice when it hits the ground?

A coin lies on a plane whose inclined is equal to the coefficient of friction. In the horizontal direction along the plane, the coin was imparted with the velocity u. Find the steady-state speed of the coin.

QUESTION 13 Which of following graphs describes simple harmonic motion with amplitude 2.00 cm and angular frequency Trad/s?

Here is an extract from our electricity bill. The coloured text has been added to highlight the rate, with the 'rate' being the price per kW.hr:

Over the 92 days of this bill, what is the average rate at which the company supplied energy to this household? P =

P= _____  Watts 

. (Take the 92 days as 2 significant figures: the electricity meter is read by an employee whose time of reading could be at any time during the day.)

Also, don't give an answer, but think about how many 'labourers' (using the example in the lesson) we would need to employ to provide energy at this average rate.

Two blocks of mass 0.1 kg and 0.2 kg approach each other on a horizontal plane at velocities of 0.4 and 1 m/s respectively. If the blocks collide and remain together, calculate the joint velocity after collision.