A force of 5 N making an angle θ with the horizontal acting on an object displaces it by 0.4 m along the horizontal direction. If the object gains kinetic energy of 1 J then the component of the force is:

1. 1.5 N 2. 2.5 N
3. 3.5 N 4. 4.5 N
Subtopic:  Work Energy Theorem |
 87%
From NCERT
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A body of mass 1 kg is thrown upwards with a velocity of 20 ms-1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? g=10 ms-2

1. 20 J

2. 30 J

3. 40 J

4. 10 J

Subtopic:  Work Energy Theorem |
 87%
From NCERT
NEET - 2009
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An object of mass m = 1.5 kg is acted upon by the force as shown in the figure that varies with the position of the object as shown. If the object starts from rest at a point x = 0, then what is its speed at x = 50 m?

                    
1. 20 m/s
2. 25 m/s
3. 15 m/s
4. 17 m/s

Subtopic:  Work Energy Theorem |
 81%
From NCERT
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The bob of a simple pendulum having length l, is displaced from the mean position to an angular position θ with respect to vertical. If it is released, then the velocity of the bob at the lowest position will be:

1. 2gl(1-cosθ)

2. 2gl(1+cos θ)

3. 2gl cosθ

4. 2gl

Subtopic:  Work Energy Theorem |
 79%
From NCERT
AIPMT - 2000
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Three different objects of mass m1, m2 and m3 are allowed to fall from rest and from the same point ‘O’ along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of:

1. m1:m2:m3

2. m1:2m2:3m3

3. 1 : 1 : 1

4. 1m1:1m2:1m3 

Subtopic:  Work Energy Theorem |
 79%
From NCERT
AIIMS - 2002
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According to the work-energy theorem, the change in kinetic energy of a body is equal to work done by:

1.  Non-conservative force on the particle

2.  Conservative force on the particle

3.  External force on the particle

4.  All the forces on the particle

Subtopic:  Work Energy Theorem |
 77%
From NCERT
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A particle of mass 10 kg moves with a velocity of 10x SI units, where x is displacement. The work done by the net force during the displacement of the particle from x = 4 m to x = 9 m is:

1. 1250 J 2. 1000 J
3. 3500 J 4. 2500 J
Subtopic:  Work Energy Theorem |
 74%
From NCERT
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A block is carried slowly up an inclined plane. If Wf is work done by the friction, WN is work done by the reaction force, Wg is work done by the gravitational force and Wex is the work done by an external force, then choose the correct relation(s):

1.  WN + Wf + Wg + Wex = 0

2.  WN = 0

3.  Wex +  Wf = -Wg

4.  All of these

Subtopic:  Work Energy Theorem |
 70%
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A body of mass 'm' is released from the top of a fixed rough inclined plane as shown in the figure. If the frictional force has magnitude F, then the body will reach the bottom with a velocity: (L=2h)

     

1. \(\sqrt{2 g h} \) 2. \(\sqrt{\frac{2 F h}{m}} \)
3. \(\sqrt{2 g h+\frac{2 F h}{m}} \) 4. \(\sqrt{2 g h-\frac{2 \sqrt{2} F h}{m}}\)
Subtopic:  Work Energy Theorem |
 62%
From NCERT
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A block is released from rest from a height of h = 5 m. After travelling through the smooth curved surface, it moves on the rough horizontal surface through a length l = 8 m and climbs onto the other smooth curved surface at a height h'. If μ = 0.5, find h'.

          

1. 2 m 2. 3 m
3. 1 m 4. Zero
Subtopic:  Work Energy Theorem |
 64%
From NCERT
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