Home
Class 11
PHYSICS
Which of the following is the correct fo...

Which of the following is the correct formulation for the second law of motion?
a) F = m(dv/dt)
b) F = ma
c) F = v(dm/dt) + ma
d) F = mv2

Text Solution

Verified by Experts

The correct Answer is:
A, C
The ball stikes the inclined plane at origiln with velocity `v_0=sqrt(2gh)`. As the ball elastically rebounds, it recalls wilth same velocity `v_0` at the sme angle `theta from the normakl or y-axis. Let the ball strikes the incline second time at any pointnP which is at distance l from the origin along teh incline. From teh equation
`y=v_(iy)t+1/2w_yt^2`
`0=v-0costhetast-1/2gcosthetat^2`
where t is th same time of motion of ball in air which moving from orign to P.
`As t!=0 , so t=(2v_0)/g`

Now from the equation ltbr. `x+v_(0x)t+1/2w_xt^2`
l=v_0sinthetat+1/2gsinthetat^2`
so, `l=v_0sintheta((2v_0)/g)+1/2gsintheta((2v_0)/g)^2`
`=(2v_0^2sintheta)/g`
Hence the plane will hit again at a distance.
Promotional Banner

Similar Questions

Explore conceptually related problems

Derive the mathematical formulation of Newton's second law of motion F = ma.

If force F is reprsented in different, ways then which of the following is correct and which are not correct ? M= mass, a = acceleration r= radius, v= velocity d= distance t=time. (a) F=(mv^(2))/(r), (b) F=ma, (c) F=(ma)/(d) (d) F=ma+(1mv^(2))/(r) (e) F=(md^(2))/(t^(2))

For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following is incorrect ? (a)for atleast one x in the interval [1, oo), f(x + 2) - f(x) lt 2 (b) underset(x rarr oo)(lim) f'(x) = 1 (c)for all x in the interval [1, oo), f(x+2) - f(x) gt 2 (d)f'(x) is strictly decreasing in the interval [1, oo)

The SI unit of energy is J=kg m^(2)s^(-2) , that of speed v is ms^(-1) and of acceleration a is ms^(-2) . What of the formulae for kinetic energy (k) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body) : (a) K = m^(2)v^(2) (b) K = (1/2)mv^(2) ("c") K= ma (d) K = (3/16)mv^(2) (e) K=(1/2)mv^(2)+ma

Write the electronic configuration of the following ions : (a ) H^(-) ( b) Na^(+) (c ) O^(2-) (d ) F^(-)

A cylindrical tube, open at both ends, has a fundamental frequency f in air . The tube is dipped vertically in water so that half of its length is in water. The fundamental frequency of the air column is now (a) f // 2 (b) 3 f // 4 (C ) f (d) 2f

From the following in which pair of orbitlas have more attraction with nucleus (i) 4f and 5d (ii) 4d and 5 s (iii) 7s and 5 f , (ii) 7p and 5p ( v) 3d and 3f

Which of the following function is surjective but not injective. (a) f:R->R ,f(x)=x^4+2x^3-x^2+1 (b) f:R->R ,f(x)=x^3+x+1 (c) f:R->R^+ ,f(x)=sqrt(x^2+1) (d) f:R->R ,f(x)=x^3+2x^2-x+1

AB is a quarter of a smooth horizontal circular track of radius R,A particle P of mass m moves along the track from A to B under the action of following forces: vec(F_(1) =F (always towards y-axis) vec(F_(2)) =F (always towards point B) vec(F_(3)) =F (always along the tangent to path AB) vec(F_(4)) =F (always towards x-axis) {:(ColumnI," ",ColumnII),((A) "Work done by" vec(F_(1))," ",(P) sqrt(2)FR),((B) "Work done by" vec(F_(2))," ",(Q)FR),((C) "Work done by" vec(F_(3))," ",(R) (piFR)/(2)),((D) "Work done by" vec(F_(4))," ",(S) (2FR)/(pi)):} Select correct alternative :-