Laws Of Motion
A mass of M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of 45∘ with the initial vertical direction is
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A balloon with mass m is descending down with an acceleration a (wherea<g) . How much mass should be removed from it so that it starts moving up with an acceleration a?
A nucleus is at rest in the laboratory frame of reference. Show that if it disintegrates into two smaller nuclei the products must move in opposite directions.
A car is negotisting a curved road of radius R . The road is banked at an angle theta. The coefficient of friction between the tyres of the car and the road is μs . The maximum safe velocity on this road is:
A person of mass 60kg is inside a lift of mass 940kg and presses the button on control panel. The lift starts moving upword with an acceleration 1.0m/s2 . If g=10m/s2 , the tension in the supporting cable is.
Distance between the successive threads of a screw is called :
A man weighs 80kg . He stands on a weighing scale in a lift which is moving upwords with a uniform acceleration of 5m/s2 . What would be the reading on the scale?
The upper half of an inclined plane with inclination ϕ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by
A car develops a force of 400 N and climbs up a vertical distance of 250 m. If the length of the road covered by the car is 5 km, then find the fractional change in load due to the car for the force developed.