Quiz about RESOLUTION OF FORCES

Question 1

A particle is acted upon by three forces $$X=\left(_{-2}^{-5}\right)N,\ Y=\left(_{-7}^{\ 12}\right)N$$ and $$Z=\left(_{\ 13}^{-3}\right)N.$$ Calculate the resultant force.

Accepted Answer

$$\left(_4^4\right)$$

Answer

$$\left(_{-4}^{-4}\right)$$

Answer

$$\left(_{\ \ \ 4}^{-4}\right)$$

Answer

$$\left(_{-4}^{\ \ \ 4}\right)$$

Question 2

Forces of magnitude 8 N and 5 N act on a body as shown in the diagram alongside. Ava and Scarlett are trying to calculate the resultant force acting at O. Can you help them find the answer, correct to 2 decimal places?

Accepted Answer

8.26N

Answer

9.83N

Answer

13.00N

Answer

14.06N

Question 3

Forces $$F_1(8N,030^°)$$ and $$F_2(10N,150^°)$$ act on a particle. Find the horizontal component of the resultant force.

Accepted Answer

9.0N

Answer

9.2N

Answer

84.0N

Answer

13.0N

Question 4

ABCD is a square. Forces of magnitude $$14N,\ 4N,\ 2N$$ and $$2\ \sqrt[]{2}N$$ act respectively along $$\overrightarrow{AB},\ \overrightarrow{BC},\ \overrightarrow{CD}$$ and $$\overrightarrow{DA}.$$ Find, in Newtons, the magnitude of the resultant of the forces.

Accepted Answer

12.06N

Answer

14.11N

Answer

13.81N

Answer

11.05N

Question 5

Given that $$R=(4,180°)$$ and $$S=(3,300°),$$ find the dot product $$R\cdot S$$

Accepted Answer

$$-6$$

Answer

$$-6\ \sqrt[]{3}$$

Answer

$$6\ \sqrt[]{3}$$

Answer

$$6$$

Question 6

Arjun, Noah, and Maya are playing a game. They need to find the dot product of vectors $$P(8,180°)$$ and $$Q(6,300\degree).$$

Accepted Answer

$$-24$$

Answer

$$25$$

Answer

$$-25$$

Answer

$$24$$

Question 7

James, Michael, and Grace are playing a game involving forces. They have forces $$P(60N,000\degree),\ Q(20N,090\degree),\ R(50N,180\degree)$$ , and $$S(30N,270°)$$ acting at a point. Can you help them calculate the resultant force?

Accepted Answer

$$10\ \sqrt[]{2}N,\ 315°$$

Answer

$$160N,\ 180^°$$

Answer

$$40N,\ 045°$$

Answer

$$10\ \sqrt[]{2}N,\ 045°$$

Question 8

Three forces $$F_1=(8N,030\degree),\ F_2=(10N,090\degree)$$ and $$F_3=(8N,150\degree)$$ act on a particle. Find the magnitude of the resultant force.

Accepted Answer

18

Answer

0

Answer

8

Answer

16

Question 9

Three forces $$F_1=(8N,\ 300\degree),\ F_2=(6N,\ 090\degree)$$ and $$F_3=(4N,180\degree)$$ act on a particle. Find the horizontal component of the resultant force.

Accepted Answer

$$6-4\ \sqrt[]{3}$$

Answer

2

Answer

10

Answer

$$4+4\ \sqrt[]{3}$$

Question 10

Zoe, Charlotte, and Aria are participating in a tug of war. A body is acted upon by two forces $$F_1=(5N,060\degree)$$ and $$F_2=(10N,180\degree).$$ Can you help them find the magnitude of the resultant force?

Accepted Answer

8.66N

Answer

18.75N

Answer

15.75N

Answer

9.50N

Question 11

Express $$r=(12,210°)$$ in the form $$ai+bj.$$

Accepted Answer

$$6(-i-\ \sqrt[]{3}j)$$

Answer

$$6(-i+\ \sqrt[]{3}j)$$

Answer

$$6(i-\ \sqrt[]{3}j)$$

Answer

$$6(i+\ \sqrt[]{3}j)$$

Question 12

Forces of magnitude $$3N,\ 4N$$ and $$2N$$ act along the vectors $$j,\ -i+j$$ and $$i+j$$ respectively. Calculate, correct to one decimal place, the magnitude of the resultant of the forces.

Accepted Answer

7.4

Answer

3.9

Answer

6.5

Answer

5.6

Question 13

Three forces $$-63j,\ 32.14i+38.3j$$ and $$14i-24.25j$$ act on a body of mass 5Kg. Find, correct to one decimal place, the acceleration of the body.

Accepted Answer

$$13.5\ ms^{-2}$$

Answer

$$67.3\ ms^{-2}$$

Answer

$$46.1\ ms^{-2}$$

Answer

No answer

Question 14

Given that $$a=(4N,\ 060°)$$ and $$b=(3N,\ 120°),$$ find, in component form, the unit vector along $$(a-b).$$

Accepted Answer

$$\frac{\sqrt[]{39}}{26}i+\frac{7\ \sqrt[]{13}}{26}j$$

Answer

$$-\frac{\sqrt[]{39}}{26}i+\frac{7\ \sqrt[]{13}}{26}j$$

Answer

$$\frac{\sqrt[]{39}}{26}i-\frac{7\ \sqrt[]{13}}{26}j$$

Answer

$$-\frac{\sqrt[]{39}}{26}i-\frac{7\ \sqrt[]{13}}{26}j$$

Question 15

Which of the following forces will have the same effect as several individual forces that are applied to an object?

Accepted Answer

Resultant Force

Answer

Parallelogram Force

Answer

Diagonal Force

Answer

Reduced Force

Question 16

What is the term used to describe the splitting up of a force into two mutually perpendicular components?

Accepted Answer

Force resolution

Answer

Force determination

Answer

Force subtraction

Answer

Force line of action

Question 17

How will this object move?

Accepted Answer

It will move to the right.

Answer

It won't move

Answer

It will move to the left.

Answer

It will move up.

Question 18

What is the resultant force?

Accepted Answer

400 N, Down

Answer

400 N, Up

Answer

800 N, Up

Answer

800 N, Down

Question 19

What is the resultant force?

Accepted Answer

0 N

Answer

10 N

Answer

25 N

Answer

1N

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics