Class 11th

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- from the diagram x= t=dx/dt=1m/s

So a_x= 0

From the diagram y =t²

dy/dt=2t  or a_y=d²y/dt²=2m/s²

I_y= ma_y=500 (10^-3) (2) =1N

F_x=ma_x=0

F= $\sqrt[]{F_x^2+F_y^2}$ = 1N

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- mass of gun =100kg

Mass of ball =1kg and height of cliff = 500m

So horizontal distance travelled by the ball is x = 400m

So h =1/2gt²

500= $\frac{1}{2}10\left(t\right)$ ² so t= 10s

X=ut then u= 400/10=40m/s

 According to principle of conservation pf momentum

Mv=mu

V= 40/100= 0.4m/s

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation-given mass of the block =M

Coefficient of friction between block and the wall = $\mu$

In equilibrium  condition vertical and horizontal component balance each other

So f=mg

And F=N but the force of friction f= $\mu N=\mu F$

  $\mu F=Mg$

F= Mg/ μ $\mu$

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- in equilibrium, The force mgsin $\theta$ acting on the block A is parallel to the plane should be balanced by the tension in the string

mgsin $\theta =T=F$

and for block B, w=T=F

 from these two above equation 

w=mgsin $\theta$ = 100sin30= 100 (1/2)=50N

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- m₁= 5kg, m₂= 3kg

And g= 9.8m/s² and a= 2m/s²

For the upper block T₁-T₂-5g=5a

T₁-T₂= 5 (g+a)

For the lower block T₂-3g =3a

T₂=3 (g+a)=3 (9.8+2)=35.4N

T₁=T₂+5 (g+a)=94.4N

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation – when the lower thread CD is pulled with a * the thread Cd itself break because the thread CD is not transmitted to the thread Ab instantly.

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- The thread AB will break earlier than the thread CD. This is because force acting on thread CD= applied force and force acting on thread AB = applied force +weight of 2kg mass. Hence force acting on thread Ab is larger than the force acting on thread CD

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- while going up a mountain the force of friction acting on a vehicle of mass m is f= $\mu R$

= $\mu mgcos\theta .$ To avoid skidding force of friction should be large and therefore cos $\theta$ should be large and $\theta$ should be small. That is why mountain roads generally made winding upwards rather than going straight up.

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation- mass of the objects =0.5kg

Speed of the objects =25m/s

a) impulse imparted = change in momentum = mv-mu

= m (v-u)= 0.5 (25-0)=12.5N-s

b) velocity of the object after rebounding= 25/2=-12.5m/s

change in momentum = m (v-u)= 0.5 (-12.5-25)= -18.75N-s

This is a Short Answer type Questions as classified in NCERT Exemplar

Explanation-when she falls on cemented floor the time is very less so force is very large which increase the pain but F $*?t$ =change in momentum =constant . while in muddy ground the time is very large as compared to cemented floor so less will be applied . so she feel less pain.