# 0.2 Force, momentum and impulse  (Page 19/35)

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## Exercise

1. The diagram shows an object of weight W, attached to a string. A horizontal force F is applied to the object so that the string makes an angle of $\theta$ with the vertical when the object is at rest. The force exerted by the string is T. Which one of the following expressions is incorrect?
1. F + T + W = 0
2. W = T cos $\theta$
3. tan $\theta$ = $\frac{F}{W}$
4. W = T sin $\theta$
2. The point Q is in equilibrium due to three forces ${F}_{1}$ , ${F}_{2}$ and ${F}_{3}$ acting on it. Which of the statements about these forces is INCORRECT?
1. The sum of the forces ${F}_{1}$ , ${F}_{2}$ and ${F}_{3}$ is zero.
2. The three forces all lie in the same plane.
3. The resultant force of ${F}_{1}$ and ${F}_{3}$ is ${F}_{2}$ .
4. The sum of the components of the forces in any direction is zero.
3. A point is acted on by two forces in equilibrium. The forces
1. have equal magnitudes and directions.
2. have equal magnitudes but opposite directions.
3. act perpendicular to each other.
4. act in the same direction.
4. A point in equilibrium is acted on by three forces. Force ${F}_{1}$ has components 15 N due south and 13 N due west. What are the components of force ${F}_{2}$ ?
1. 13 N due north and 20 due west
2. 13 N due north and 13 N due west
3. 15 N due north and 7 N due west
4. 15 N due north and 13 N due east
1. Define the term 'equilibrant'.
2. Two tugs, one with a pull of 2500 N and the other with a pull of 3 000 N are used to tow an oil drilling platform. The angle between the two cables is 30  ${}^{\circ }$ . Determine, either by scale diagram or by calculation (a clearly labelled rough sketch must be given), the equilibrant of the two forces.
5. A 10 kg block is held motionless by a force F on a frictionless plane, which is inclined at an angle of 50 ${}^{\circ }$ to the horizontal, as shown below:
1. Draw a force diagram (not a triangle) indicating all the forces acting on the block.
2. Calculate the magnitude of force F. Include a labelled diagram showing a triangle of forces in your answer.
6. A rope of negligible mass is strung between two vertical struts. A mass M of weight W hangs from the rope through a hook fixed at point Y
1. Draw a vector diagram, plotted head to tail, of the forces acting at point Y. Label each force and show the size of each angle.
2. Where will the tension be greatest? Part P or Q? Motivate your answer.
3. When the tension in the rope is greater than 600N it will break. What is the maximum mass that the above set up can support?
7. An object of weight $w$ is supported by two cables attached to the ceiling and wall as shown. The tensions in the two cables are ${T}_{1}$ and ${T}_{2}$ respectively. Tension ${T}_{1}=1200$  N. Determine the tension ${T}_{2}$ and weight $w$ of the object by accurate construction and measurement or calculation.
8. A rope is tied at two points which are 70 cm apart from each other, on the same horizontal line. The total length of rope is 1 m, and the maximum tension it can withstand is 1000 N. Find the largest mass (m), in kg, that can be carried at the midpoint of the rope, without breaking the rope. Include a labelled diagram showing the triangle of forces in your answer.

## Forces between masses

In Grade 10, you saw that gravitational fields exert forces on masses in the field. A field is a region of space in which an object experiences a force. The strength of a field is defined by a field strength. For example, the gravitational field strength, $g$ , on or near the surface of the Earth has a value that is approximately 9,8 m $·$ s ${}^{-2}$ .

find the 15th term of the geometric sequince whose first is 18 and last term of 387
The given of f(x=x-2. then what is the value of this f(3) 5f(x+1)
hmm well what is the answer
Abhi
how do they get the third part x = (32)5/4
can someone help me with some logarithmic and exponential equations.
20/(×-6^2)
Salomon
okay, so you have 6 raised to the power of 2. what is that part of your answer
I don't understand what the A with approx sign and the boxed x mean
it think it's written 20/(X-6)^2 so it's 20 divided by X-6 squared
Salomon
I'm not sure why it wrote it the other way
Salomon
I got X =-6
Salomon
ok. so take the square root of both sides, now you have plus or minus the square root of 20= x-6
oops. ignore that.
so you not have an equal sign anywhere in the original equation?
hmm
Abhi
is it a question of log
Abhi
🤔.
Abhi
Commplementary angles
hello
Sherica
im all ears I need to learn
Sherica
right! what he said ⤴⤴⤴
Tamia
hii
Uday
what is a good calculator for all algebra; would a Casio fx 260 work with all algebra equations? please name the cheapest, thanks.
a perfect square v²+2v+_
kkk nice
algebra 2 Inequalities:If equation 2 = 0 it is an open set?
or infinite solutions?
Kim
The answer is neither. The function, 2 = 0 cannot exist. Hence, the function is undefined.
Al
y=10×
if |A| not equal to 0 and order of A is n prove that adj (adj A = |A|
rolling four fair dice and getting an even number an all four dice
Kristine 2*2*2=8
Differences Between Laspeyres and Paasche Indices
No. 7x -4y is simplified from 4x + (3y + 3x) -7y
how do you translate this in Algebraic Expressions
Need to simplify the expresin. 3/7 (x+y)-1/7 (x-1)=
. After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa's original weight?
what's the easiest and fastest way to the synthesize AgNP?
China
Cied
types of nano material
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials​ and their applications of sensors.
what is nano technology
what is system testing?
preparation of nanomaterial
Yes, Nanotechnology has a very fast field of applications and their is always something new to do with it...
what is system testing
what is the application of nanotechnology?
Stotaw
In this morden time nanotechnology used in many field . 1-Electronics-manufacturad IC ,RAM,MRAM,solar panel etc 2-Helth and Medical-Nanomedicine,Drug Dilivery for cancer treatment etc 3- Atomobile -MEMS, Coating on car etc. and may other field for details you can check at Google
Azam
anybody can imagine what will be happen after 100 years from now in nano tech world
Prasenjit
after 100 year this will be not nanotechnology maybe this technology name will be change . maybe aftet 100 year . we work on electron lable practically about its properties and behaviour by the different instruments
Azam
name doesn't matter , whatever it will be change... I'm taking about effect on circumstances of the microscopic world
Prasenjit
how hard could it be to apply nanotechnology against viral infections such HIV or Ebola?
Damian
silver nanoparticles could handle the job?
Damian
not now but maybe in future only AgNP maybe any other nanomaterials
Azam
Hello
Uday
I'm interested in Nanotube
Uday
this technology will not going on for the long time , so I'm thinking about femtotechnology 10^-15
Prasenjit
can nanotechnology change the direction of the face of the world
At high concentrations (>0.01 M), the relation between absorptivity coefficient and absorbance is no longer linear. This is due to the electrostatic interactions between the quantum dots in close proximity. If the concentration of the solution is high, another effect that is seen is the scattering of light from the large number of quantum dots. This assumption only works at low concentrations of the analyte. Presence of stray light.
the Beer law works very well for dilute solutions but fails for very high concentrations. why?
how did you get the value of 2000N.What calculations are needed to arrive at it
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