Laws of Motion
- A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/h. The centripetal force is
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Centripetal force = mv² = 500 × (10)² r 50
= 1000 N [∵ 36 km/hr = 10 m/s]Correct Option: C
Centripetal force = mv² = 500 × (10)² r 50
= 1000 N [∵ 36 km/hr = 10 m/s]
- A body of mass 0.4 kg is whirled in a vertical circle making 2 rev/sec. If the radius of the circle is 1.2 m, then tension in the string when the body is at the top of the circle, is
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Given : Mass (m) = 0.4 kg
Its frequency (n) = 2 rev/sec
Radius (r) = 1.2 m. We know that linear velocity of the body (v) = ωr = (2πn)r
= 2 × 3.14 × 1.2 × 2 = 15.08 m/s.
Therefore, tension in the string when the body is at the top of the circle (T)= mv² - mg = 0.4 × (15.08)² - (0.4 × 9.8) r 2
= 45.78 - 3.92 = 41.56 NCorrect Option: A
Given : Mass (m) = 0.4 kg
Its frequency (n) = 2 rev/sec
Radius (r) = 1.2 m. We know that linear velocity of the body (v) = ωr = (2πn)r
= 2 × 3.14 × 1.2 × 2 = 15.08 m/s.
Therefore, tension in the string when the body is at the top of the circle (T)= mv² - mg = 0.4 × (15.08)² - (0.4 × 9.8) r 2
= 45.78 - 3.92 = 41.56 N
- What will be the maximum speed of a car on a road turn of radius 30 m if the coefficient of friction between the tyres and the road is 0.4 (Take g = 9.8 m/s²)
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r = 30 m and µ = 0.4.
vmax = √μrg = √0.4 × 30 × 9.8 = 10.84 m/sCorrect Option: A
r = 30 m and µ = 0.4.
vmax = √μrg = √0.4 × 30 × 9.8 = 10.84 m/s
- A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When it moves from one point to a diametrically opposite point, its
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On the diametrically opposite points, the velocities have same magnitude but opposite directions. Therefore, change in momentum is MV – (– MV) = 2MV
Correct Option: C
On the diametrically opposite points, the velocities have same magnitude but opposite directions. Therefore, change in momentum is MV – (– MV) = 2MV
- When milk is churned, cream gets separated due to
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Cream gets separated from a churned milk due to centrifugal force.
Correct Option: B
Cream gets separated from a churned milk due to centrifugal force.