If *W*_{1}, *W*_{2} and *W*_{3} represent the work done in moving a particle from *A* to *B* along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between *W*_{1}, *W*_{2} and *W*_{3}** **

(1) *W*_{1} > *W*_{2} > *W*_{3}

(2) *W*_{1} = *W*_{2} = *W*_{3}

(3) *W*_{1} < *W*_{2} < *W*_{3}

(4) *W*_{2} > *W*_{1} > *W*_{3}

Concept Questions :-

Gravitational Potential energy

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle of mass *m* is moving in a horizontal circle of radius *r* under a centripetal force equal to –*K*/*r*^{2}, where *K* is a constant. The total energy of the particle is

1. $\frac{K}{2r}$

2. $-\frac{K}{2r}$

3. $-\frac{K}{r}$

4. $\frac{K}{r}$

Concept Questions :-

Potential energy: Relation with force

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The displacement *x* of a particle moving in one dimension under the action of a constant force is related to the time *t *by the equation $t=\sqrt{x}+3$, where *x* is in meters and *t* is in seconds. The work done by the force in the first 6 seconds is

(1) 9 *J*

(2) 6 *J*

(3) 0 *J*

(4) 3 *J*

Concept Questions :-

Concept of work

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A force $\mathit{F}=-K(y\mathit{i}+x\mathit{j})$ (where *K* is a positive constant) acts on a particle moving in the *xy*-plane. Starting from the origin, the particle is taken along the positive *x*-axis to the point (*a*, 0) and then parallel to the *y*-axis to the point (*a*, *a*). The total work done by the force *F* on the particles is

(1) $-2K{a}^{2}$

(2) $2K{a}^{2}$

(3) $-K{a}^{2}$

(4) $K{a}^{2}$

Concept Questions :-

Work done by variable force

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

If *g* is the acceleration due to gravity on the earth's surface, the gain in the potential energy of an object of mass *m* raised from the surface of earth to a height equal to the radius of the earth *R*, is** **

(1) $\frac{1}{2}mgR$

(2) 2 *mgR *

(3) *mgR *

(4) $\frac{1}{4}mgR$

Concept Questions :-

Gravitational Potential energy

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A lorry and a car moving with the same K.E. are brought to rest by applying the same retarding force, then

(1) Lorry will come to rest in a shorter distance

(2) Car will come to rest in a shorter distance

(3) Both come to rest in a same distance

(4) None of the above

Concept Questions :-

Concept of work

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A particle free to move along the *x*-axis has potential energy given by $U\left(x\right)=k[1-{e}^{{(-x)}^{2}}]$ for $-\infty \le x\le +\infty $, where *k* is a positive constant of appropriate dimensions. Then

(1) At point away from the origin, the particle is in unstable equilibrium

(2) For any finite non-zero value of *x*, there is a force directed away from the origin

(3) If its total mechanical energy is *k*/2, it has its minimum kinetic energy at the origin

(4) For small displacements from *x *= 0, the motion is simple harmonic

Concept Questions :-

Potential energy: Relation with force

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

The kinetic energy acquired by a mass *m* in travelling a certain distance *d* starting from rest under the action of a constant force is directly proportional to** **

(1) $\sqrt{m}$

(2) Independent of *m*

(3) $1/\sqrt{m}$

(4) *m *

Concept Questions :-

Concept of work

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

An open knife edge of mass '*m*' is dropped from a height '*h*' on a wooden floor. If the blade penetrates upto the depth 'd' into the wood, the average resistance offered by the wood to the knife edge is** **

(1) *mg*

(2) $mg\left(1-\frac{{\displaystyle h}}{{\displaystyle d}}\right)$

(3) $mg\left(1+\frac{{\displaystyle h}}{{\displaystyle d}}\right)$

(4) $mg{\left(1+\frac{{\displaystyle h}}{{\displaystyle d}}\right)}^{2}$

Concept Questions :-

Gravitational Potential energy

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level:

A body is moving along a straight line by a machine delivering constant power. The distance moved by the body in time *t* is proportional to

(1) *t*^{1/2}

(2) *t*^{3/4}

(3) *t*^{3/2}

(4) *t*^{2}

Concept Questions :-

Power

To view Explanation, Please buy any of the course from below.

High Yielding Test Series + Question Bank - NEET 2020

Difficulty Level: