A particle of mass m1 is moving with a velocity v1 and another particle of mass m2 is moving with a velocity v2. Both of them have the same momentum, but their kinetic energies are E1 and E2 respectively. If m1 > m2 then:
1.
2.
3.
4.
A mass of \(0.5\) kg moving with a speed of \(1.5\) m/s on a horizontal smooth surface, collides with a nearly weightless spring with force constant \(k=50\) N/m. The maximum compression of the spring would be:
1. \(0.12\) m
2. \(1.5\) m
3. \(0.5\) m
4. \(0.15\) m
If two springs, A and B are stretched by the same suspended weights, then the ratio of work done in stretching is equal to:
1. 1 : 2
2. 2 : 1
3. 1 : 1
4. 1 : 4
When a spring is subjected to 4 N force, its length is a metre and if 5 N is applied, its length is b metre. If 9 N is applied, its length will be:
1. 4b – 3a
2. 5b – a
3. 5b – 4a
4. 5b – 2a
If a stone is projected vertically upward from the ground at a speed of 10 m/s, then it's: (g = 10 )
1. Potential energy will be maximum after 0.5 s
2. Kinetic energy will be maximum again after 1 s
3. Kinetic energy = potential energy at a height of 2.5 m from the ground
4. Potential energy will be minimum after 1 s
The kinetic energy of a body is increased by 21%. The percentage increase in the magnitude of linear momentum of the body will be:
1. 10%
2. 20%
3. Zero
4. 11.5%
A rigid body of mass \(\mathrm{m}\) is moving in a circle of radius \(\mathrm{r}\) with constant speed \(\mathrm{v}.\) The force on the body is and is always directed towards the center. The work done by this force in moving the body over half the circumference of the circle will be:
1.
2.
3. zero
4.
A particle of mass \(10\) kg moves with a velocity of \(10\sqrt{x}\) in SI units, where \(x\) is displacement. The work done by the net force during the displacement of the particle from \(x=4~\text{m}\) to \(x= 9~\text{m}\) is:
1. \(1250~\text{J}\)
2. \(1000~\text{J}\)
3. \(3500~\text{J}\)
4. \(2500~\text{J}\)
The potential energy of a particle of mass m varies as the magnitude of the The magnitude of the acceleration of the particle at (0, 3) is: (symbols have their usual meaning)
1.
2.
3.
4. Zero