Mechanics | Relativity Answers

A certain force accelerates a 4.2kg mass by 5m/s2. What would be the acceleration of 3.4kg mass when the same forces acts on it?

A 72N force accelerates mass (m1) by 5.0 m/s2. The same force acts on another mass (m2) and imparts to it an acceleration of 20.0 m/s2. What accelerates will the same force impart to the two masses when they are joined together?

How much should the Earth be compressed without losing any material in order for it to become a blackhole.

Find the potential energy function V(x) for the following conservative force acting on an object of mass m, which starts from rest at x=0.

Fx=Fo+cx

Suppose a pole vaulter, holding a 16 unit long pole parallel to his direction of motion, runs through an 8 unit long shed which is open at each end. At what speed should a pole vaulter be running such that the pole is entirely in the shed before it strikes the exit door?

Sirius is a binary star system consisting of two stars (one bright and the other very small and dim). The mass of the bright star is 2.1 Mo and the mass of the small dim star is 1.05 Mo. The semi-major axis ‘a’ for Sirius system is about 20 AU. Calculate the period of such system as the stars rotate about their center of mass. (Note : Mo is the Solar Mass and 1 AU is the Earth-Sun distance)

How much should the Earth be compressed without losing any material in order for it to become a blackhole. (note : The mass of Earth is 5.9 x 1024 kg and the gravitational constant is 6.67 x 10-11 N m2 kg-2 (Hint: Use Schwarzschild radius)

An object is to be dropped from an aeroplane so as to hit a target on the ground. If the aeroplane is travelling horizontally at 80m/s at a height of 2000m. Calculate
(a)the position of the aeroplane when the object is released.
(b)the time for the object to hit the target from the instant of release.