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NEET • PHYSICS • WORK-ENERGY-POWER

Work-energy-power practice · Medium

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91 Medium
91 of 238
Application +4 | -1
A body of mass 1 kg is moving in a vertical circular path of radius 1 m. The difference between the kinetic energies at its highest and lowest point is
View answer and explanation
Correct option: A
20 J
Option A (20 J) is correct because the difference in kinetic energy is equal to the change in potential energy, which is mg(2r)mg(2r).
92 Medium
92 of 238
Analyzing +4 | -1
If a lighter body (Mass M1{M_1} and velocity V1{V_1}) and a heavier body (mass M2{M_2} and velocity V2{V_2}) have the same kinetic energy, then
View answer and explanation
Correct option: D
M2V2>M1V1{M_2}{V_2} > {M_1}{V_1}
Option D (M2V2>M1V1{M_2}{V_2} > {M_1}{V_1}) is correct. Since kinetic energy is the same, the heavier object must have a smaller velocity. However, the product of mass and velocity (momentum) will be greater for the heavier object.
93 Medium
93 of 238
Understanding +4 | -1
When a force is applied on a moving body, its motion is retarded. Then the work done is
View answer and explanation
Correct option: B
Negative
Option B (Negative) is correct because when a force retards motion, it acts in the opposite direction to the displacement, resulting in negative work.
94 Medium
94 of 238
Analyzing +4 | -1
A time t=0 s Particle starts moving along the x-axis. If its kinetic energy increases uniformly with time t, the net force acting on it must be proportional to
View answer and explanation
Correct option: D
1t\frac{1}{{\sqrt t }}
Option D (1t\frac{1}{{\sqrt t }}) is correct because if kinetic energy increases uniformly with time, the force is inversely proportional to the square root of time.
95 Medium
95 of 238
Remembering +4 | -1
The total energy of the universe is
View answer and explanation
Correct option: A
Constant
Option A (Constant) is correct because, according to the law of conservation of energy, the total energy of an isolated system, such as the universe, remains constant.
96 Medium
96 of 238
Understanding +4 | -1
The kinetic energy possessed by a body of mass m moving with a velocity v is equal to 1/2  mv21/2\;m{v^2}, provided
View answer and explanation
Correct option: B
The body moves with velocities negligible compared to the speed of light
Option B (The body moves with velocities negligible compared to the speed of light) is correct because the classical kinetic energy formula is an approximation valid at low speeds.
97 Medium
97 of 238
Application +4 | -1
The minimum speed for a particle at the lowest point of a vertical circle of radius r, to describe the circle is vv. If the radius of the circle is reduced to one-fourth its value, the corresponding minimum speed will be
View answer and explanation
Correct option: B
v/2v/2
Option B (v/2v/2) is correct because the minimum speed is proportional to the square root of the radius, so reducing the radius to one-fourth reduces the speed by a factor of two.
98 Medium
98 of 238
Analyzing +4 | -1
Consider a one dimensional head on collision of two balls.
Statement-1: The loss in kinetic energy of the system during the collision does not depend on the velocity of the observer.
Statement-2 : Kinetic energy of a body is independent of velocity of observer.
View answer and explanation
Correct option: C
Statement-1 is true, Statement-2 is false
Statement-1 is true, Statement-2 is false. The loss in kinetic energy during a collision is independent of the observer's velocity, but the kinetic energy of a body is dependent on the observer's velocity.
99 Medium
99 of 238
Remembering +4 | -1
Which of the following is a unit of energy
View answer and explanation
Correct option: D
None
Option D (None) is correct because Unit, Watt, and Horse Power are all units of Power, not Energy.
100 Medium
100 of 238
Understanding +4 | -1
The bodies of masses 1 kg and 5 kg are dropped gently from the top of a tower. At a point 20 cm from the ground, both the bodies will have the same
View answer and explanation
Correct option: C
Velocity
Option C (Velocity) is correct because both masses are dropped from the same height, experiencing the same gravitational acceleration, and thus will have the same velocity at any given point, regardless of their mass.
101 Medium
101 of 238
Analyzing +4 | -1
A body is acted upon by a constant force directed towards a fixed point. The magnitude of the force varies inversely as the square of the distance from the fixed point. What is the nature of the path?
View answer and explanation
Correct option: C
Circle
Option C (Circle) is correct because a force inversely proportional to the square of the distance directed towards a fixed point results in orbital motion, which can be circular under specific conditions.
102 Medium
102 of 238
Understanding +4 | -1
Statement-I: Work done by spring force on a block connected to the spring may be positive or negative.
Statement-II: Spring force is both pushing and pulling.
View answer and explanation
Correct option: A
Statement-I &\& II are true.
Option A (Statement-I &IIaretrue)iscorrectbecausetheworkdonebyaspringforcecanbepositiveornegativedependingonthedirectionofdisplacementrelativetothespring′sequilibriumposition,andthespringforcecanindeedbebothpushingandpulling.\& II are true) is correct because the work done by a spring force can be positive or negative depending on the direction of displacement relative to the spring's equilibrium position, and the spring force can indeed be both pushing and pulling.
103 Medium
103 of 238
Understanding +4 | -1
A ball hits the floor and rebounds after inelastic collision. In this case
View answer and explanation
Correct option: C
The total momentum of the ball and the earth is conserved
Option D (The total energy of the ball and the earth is conserved) is correct because, according to the law of conservation of energy, the total energy of an isolated system (ball and Earth) remains constant, although some mechanical energy may be converted to other forms like heat and sound.
104 Medium
104 of 238
Understanding +4 | -1
Statement I In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Statement II Inan elastic collision, the linear momentum of the system is conserved.
View answer and explanation
Correct option: B
Statement I is true, Statement II is true; statement II is not correct explanation for statement I
Option B is correct. Statement I is true because the coefficient of restitution is 1 in elastic collisions. Statement II is true because momentum is always conserved in collisions.
105 Medium
105 of 238
Application +4 | -1
A particle of mass m is dropped from rest from a height h0{h_0} on a horizontal floor. The coefficient of restitution between the floor and particle is e. Maximum height attained by the particle after second collision is
View answer and explanation
Correct option: D
e4h0{e^4}{h_0}
Option D (e4h0{e^4}{h_0}) is correct because after two collisions, the height is reduced by a factor of e2e^2 each time, resulting in e4h0{e^4}{h_0}.

Explore Other Chapters in PHYSICS

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UNITS & MEASUREMENTS 392 MCQs MECHANICAL PROPERTIES OF FLUIDS 317 MCQs MOTION IN PLANE 307 MCQs MAGNETIC EFFECT OF CURRENT 282 MCQs THERMAL PROPERTIES OF MATTER 269 MCQs GRAVITATION 258 MCQs
106 Medium
106 of 238
Understanding +4 | -1
Roads are banked on curves so that
View answer and explanation
Correct option: A
The speeding vehicles may not fall outwards
The correct answer is A. Roads are banked on curves to provide the necessary centripetal force to prevent vehicles from skidding outwards.
107 Medium
107 of 238
Application +4 | -1
A weightless thread can bear tension upto 3.7 kg wt. A stone of mass 500 gms is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If g=10  ms−2g = 10\;m{s^{ - 2}} , then the maximum angular velocity of the stone will be
View answer and explanation
Correct option: A
4 radians/sec
Option A (4 radians/sec) is correct because it is the maximum angular velocity calculated by equating the tension at the lowest point to the maximum tension the string can bear.
108 Medium
108 of 238
Application +4 | -1
A machine which is 75% efficient uses 12 J of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through, that distance. The velocity of the ball at the end of its fall is
View answer and explanation
Correct option: C
18  ms−1\sqrt {18} \mathrm{\;m}{\mathrm{s}^{ - 1}}
Option C (18  ms−1\sqrt {18} \mathrm{\;m}{\mathrm{s}^{ - 1}}) is correct because 75% of the 12 J energy is converted to potential energy (mgh), which then converts to kinetic energy (1/2 mv²) during the fall. Solving for v gives 18\sqrt{18} m/s.
109 Medium
109 of 238
Analyzing +4 | -1
Statement-I: The workdone in pushing a block is more than the work done in pulling the block on a rough surface.
Statement-II: In the pushing condition normal reaction in more.
View answer and explanation
Correct option: A
Statement-I &\& II are true.
Option A (Statement-I & II are true) is correct because pushing a block increases the normal reaction, leading to more friction and thus more work done compared to pulling.
110 Medium
110 of 238
Understanding +4 | -1
Identify the wrong statement
View answer and explanation
Correct option: A
A body can have momentum without energy
Option A (A body can have momentum without energy) is the wrong statement because a body with momentum must have kinetic energy, as momentum is directly related to velocity and mass, and kinetic energy is dependent on both.
111 Medium
111 of 238
Application +4 | -1
A car is moving on circular path of radius r = 150 cm its speed is increasing at a rate of 8 cm/s28\,cm/{s^2}, At some instant of time its speed is 30 cm/s, the net acceleration of the car at this instant is
View answer and explanation
Correct option: B
10 cm s−210\,cm\,{s^{ - 2}}
Option B (10 cm s−210\,cm\,{s^{ - 2}}) is correct because it is the net acceleration calculated using both tangential and radial components.
112 Medium
112 of 238
Understanding +4 | -1
For a body in uniform circular motion, the
View answer and explanation
Correct option: C
Angular velocity is constant
Option C (Angular velocity is constant) is correct because, in uniform circular motion, the magnitude of the angular velocity remains constant.
113 Medium
113 of 238
Application +4 | -1
A spring with spring constant k is extended from x=0      to    x=x1x = 0\;\;\;\mathrm{to\;\;}x = {x_1}.The work done will be
View answer and explanation
Correct option: B
12kx12\frac{1}{2}kx_1^2
Option B (12kx12\frac{1}{2}kx_1^2) is correct because the work done in extending a spring is equal to the change in its potential energy, which is given by the formula 12kx2\frac{1}{2}kx^2.
114 Medium
114 of 238
Analyzing +4 | -1
A girl throws a ball with initial velocity vv at an inclination of 45∘45^{\circ}. The ball strikes the smooth vertical wall at a horizontal distance dd from the girl and after rebounding returns to her hand. What is the coefficient of restitution between wall and the ball?
View answer and explanation
Correct option: B
gdv2−gd\frac{g d}{v^2-g d}
Option B (gdv2−gd\frac{g d}{v^2-g d}) is correct because it is derived from analyzing the projectile motion and applying the coefficient of restitution.
115 Medium
115 of 238
Understanding +4 | -1
Two moving particles collide and stick together on a smooth horizontal surface. The following statements are given below

(a) Mechanical energy is conserved.

(b) Total energy is conserved.

(c) Work done by the system is positive

(d) Work done by the system is negative.

Choose the correct option.
View answer and explanation
Correct option: D
(b) and (d) are correct.
Option D ((b) and (d) are correct) is correct because in an inelastic collision where objects stick together, total energy is conserved, but mechanical energy is not, and the work done by the system is negative.
116 Medium
116 of 238
Understanding +4 | -1
A car moves on a circular road. It describes equal angles about the centre is equal intervals of time. Which of the following statements about the velocity of the car is true?
View answer and explanation
Correct option: D
Magnitude to velocity is constant but direction changes
Option D (Magnitude to velocity is constant but direction changes) is correct because the car describes equal angles in equal times (constant speed), but its direction is always changing as it moves along the circular path.
117 Medium
117 of 238
Analyzing +4 | -1
A boy is hanging from a horizontal branch of a tree. The tension in the arms will be maximum when the angle between the arms is
View answer and explanation
Correct option: D
1200{120^0}
Option D (1200{120^0}) is correct because the tension in the arms is maximized when the angle is largest, as the vertical components of the tension must balance the boy's weight.
118 Medium
118 of 238
Understanding +4 | -1
The kinetic energy acquired by a body of mass m in travelling some distance s, starting from rest under the action of a constant force, is directly proportional to
View answer and explanation
Correct option: A
m∘m^\circ
Option A (m∘m^\circ) is correct because the kinetic energy acquired is independent of mass when force and distance are constant, as it depends on work done.
119 Medium
119 of 238
Analyzing +4 | -1
A car when passes through a convex bridge exerts a force on it which is equal to
View answer and explanation
Correct option: D
None of these
Option D (None of these) is correct because the force exerted on the bridge is Mg−Mv2rMg - \frac{{M{v^2}}}{r}, which is not listed in the options.
120 Medium
120 of 238
Analyzing +4 | -1
Statement I Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement II Principle of conservation of momentum holds true for all kinds of collisions.
View answer and explanation
Correct option: D
Statement I is true, Statement II is false.
Option C (Statement I is false, Statement II is true) is correct because particles can lose all their energy in a completely inelastic collision if they have equal and opposite momenta, and the principle of conservation of momentum always holds.
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