Force vectors Quiz 1

Question 1

Siddharth rang the bell of a temple by applying a force of $$\left( F \right)$$N. The bell underwent a unique motion and started moving with acceleration of $$a=\,20\hat{i}+30\hat{j}\,\,m{{s}^{-2}}$$. What force $$\left( F \right)$$ in Newton (N) might have applied if the mass of the bell is $$4$$Kg?

Accepted Answer

$$144.2\,N$$

Answer

$$122.7\,N$$

Answer

$$129.6\,N$$

Answer

$$59\,N$$

Question 2

In a hypothetical fairyland, a fairy applied two forces, $${{F}_{1}}=\hat{i}-4\hat{j}+2\hat{k}\,N$$ and $${{F}_{2}}=2\hat{i}+3\hat{j}+2\hat{k}\,N$$. The fairy might have applied both the forces at.

Accepted Answer

obtuse angle

Answer

right angle

Answer

acute angle

Answer

reflex angle

Question 3

Suppose that tug of war became the national sport of India. Now two Indian states are playing the game and applying equal opposite forces at two different ends of the rope. Such pair of forces, will constitute the

Accepted Answer

null vector

Answer

unit vector

Answer

both

Answer

none.

Question 4

A magician is applying two forces $$F_a$$ and $$F_b$$ on a hollow glass prism. Both the forces are acting at angle $$	heta $$ to each other. $$R$$ is the resultant of both the given forces. If now the magician starts increasing the $$	heta $$, then how would the resultant (R) of both the forces might change.

Accepted Answer

it will decrease

Answer

it will increase

Answer

it will increase and then sharply decrease

Answer

it will remain constant

Question 5

In an amusement park two children are fighting for a ball. Both of them apply force on the ball but at different configurations. If one child applies the force $$F=\left( 7{i}+19\hat{j} \right)\,N$$ and both forces act at $${{30}^{\circ }}$$ to each other. What is the magnitude of another force if the resultant of both the forces is given as $$20.25\,N$$

Accepted Answer

$${{\pi }^{3}}\,N$$

Answer

$$5{{\pi }^{2\,}}N$$

Answer

$${{\pi }^{5}}\,N$$

Answer

$$2{{\pi }^{4}}\,N$$