Speed And Velocity

Answer (b) 110 m/s

As we know that, for free falling body the equation of velocity is

Since, then


Which is show that a straight line passing through the origin

We are given that the mass , the length of the wire , the area of cross-section , and the maximum elongation in the wire is 2 mm. The tension is zero at the highest point in the vertical circle. Step 1: Calculate the force causing the elongation At the highest point, the centripetal force is provided by the weight of the block, which is . The tension at the highest point is zero, so the maximum elongation is caused by the force . We use Hooke's law to calculate the elongation: where: - is Young’s modulus, - , - , - . Substituting the known values: Thus, the Young’s modulus is .

For two stars revolving around each other due to gravitational attraction, the angular velocity of the system can be determined using Newton's law of gravitation and the concept of centripetal force. Step 1: Gravitational Force The gravitational force between two masses and is given by: where is the gravitational constant and is the distance between the two masses. Step 2: Centripetal Force For a circular orbit, the centripetal force for each mass is given by: where is the angular velocity, and the factor of is used because the center of mass of the system is at the midpoint between the two masses. Step 3: Equating Forces Now, equate the gravitational force and centripetal force: Solving for : Thus, the angular velocity is: