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Q. No.A small block of mass \(m\) lies on a frictionless wedge of mass \(M,\) which is pushed horizontally to the right by means of a constant force \(F\). There is no relative motion between the block and the wedge. Let the work done by \(F\) on \(M\) be \(W_F\). The work done by the normal force (between \(M\) & \(m\)) on \(m\) be \(W_m\). Both are measured for the same time interval.
Then:
1.
\(\dfrac{W_F}{M}=\dfrac{W_m}{m}\)
2.
\(W_F\cdot M=W_m\cdot m\)
3.
\(\dfrac{W_F}{M+m}=\dfrac{W_m}{m}\)
4.
\(\dfrac{W_F}{M}=\dfrac{W_m}{m+M}\)
Subtopic: Work done by constant force |
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Level 2: 60%+
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A ball of mass \(m\) is projected with a speed \(u,\) at an angle of \(\theta\) with the horizontal. At its highest point, it moves on a smooth horizontal platform with a spring of spring constant \(k\) attached, and the ball compresses the spring. The maximum compression in the spring is \(x.\) Then:
1. \(\dfrac12mu^2=\dfrac12kx^2\)
2. \(\dfrac12mu^2cos^2\theta=\dfrac12kx^2\)
3. \(\dfrac12mu^2=\dfrac12kx^2cos^2\theta\)
4. \(\dfrac12mu^2sin^2\theta=\dfrac12kx^2\)
1. \(\dfrac12mu^2=\dfrac12kx^2\)
2. \(\dfrac12mu^2cos^2\theta=\dfrac12kx^2\)
3. \(\dfrac12mu^2=\dfrac12kx^2cos^2\theta\)
4. \(\dfrac12mu^2sin^2\theta=\dfrac12kx^2\)
Subtopic: Elastic Potential Energy |
78%
Level 2: 60%+
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An electric lift with a maximum load of \(2000\) kg (lift+passengers) is moving up with a constant speed of \(1.5\) ms–1. The frictional force opposing the motion is \(3000\) N. The minimum power delivered by the motor to the lift in watts is: (Take \(g=10\) ms–2)
| 1. | \(23500\) | 2. | \(23000\) |
| 3. | \(20000\) | 4. | \(34500\) |
Subtopic: Power |
66%
Level 2: 60%+
NEET - 2022
Hints
Given below are two statements:
| Assertion (A): | Work done by friction on a body sliding down an inclined plane is negative. |
| Reason (R): | Work done is less than zero if the angle between force and displacement is acute or both are in the same direction. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Concept of Work |
77%
Level 2: 60%+
Hints
Given below are two statements:
| Assertion (A): | Frictional forces are conservative in nature. |
| Reason (R): | A potential energy function can be associated with frictional forces. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Potential Energy: Relation with Force |
86%
Level 1: 80%+
Hints
\(300\) J of work is done in sliding a \(2\) kg block up an inclined plane of height \(10\) m. Taking \(g=10 \mathrm{~m} / \mathrm{s}^{2}\), work done against friction is:
1. \(1000\) J
2. \(200\) J
3. \(100\) J
4. zero
1. \(1000\) J
2. \(200\) J
3. \(100\) J
4. zero
Subtopic: Work Energy Theorem |
79%
Level 2: 60%+
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A body of mass \(8\) kg and another of mass \(2\) kg are moving with equal kinetic energy. The ratio of their respective momenta will be:
1. \(1:1\)
2. \(2:1\)
3. \(1:4\)
4. \(4:1\)
1. \(1:1\)
2. \(2:1\)
3. \(1:4\)
4. \(4:1\)
Subtopic: Work Energy Theorem |
84%
Level 1: 80%+
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A boat of mass \(200\) kg is accelerated by an engine of power \(16\) kW. If the boat covers a distance of \(72\) km in \(2\) hr, the acceleration of the boat is:
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
1. \(8\times10^{-2}\) m/s2
2. \(8\times10^{-1}\) m/s2
3. \(8\) m/s2
4. \(80\) m/s2
Subtopic: Power |
79%
Level 2: 60%+
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A particle experiences a variable force \(\vec F = (4x \hat i + 3y^2 \hat j)\) in a horizontal \(x\text{-}y\) plane. Assume distance in meters and force is in newton. If the particle moves from point \((1,2)\) to point \((2,3)\) in the \(x\text{-}y\) plane, the kinetic energy changes by:
1. \(50.0\) J
2. \(12.5\) J
3. \(25.0\) J
4. \(0\)
1. \(50.0\) J
2. \(12.5\) J
3. \(25.0\) J
4. \(0\)
Subtopic: Work Energy Theorem |
80%
Level 1: 80%+
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A ball with a mass of \(100\) g is dropped from a height of \(h=10\) cm onto a platform fixed at the top of a vertical spring (as shown in the figure). The ball remains on the platform, and the platform is depressed by a distance of \(\dfrac {h} {2}.\) The spring constant is: (use \(g=10\) ms-2)
| 1. | \(100\) Nm–1 | 2. | \(110\) Nm–1 |
| 3. | \(120\) Nm–1 | 4. | \(130\) Nm–1 |
Subtopic: Elastic Potential Energy |
76%
Level 2: 60%+
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