Mechanics | Relativity Answers

A man weighs 750N on the surface of the earth. What would be his weight when standing on the moon? The masses of the earth and the moon are respectively (5.98 x 10 raise to power 24) kg and (7.36 x 10 raise to power 22) kg. Their radii are (6.37 x 10 raise to power 3) km and (1.74 x 10 raise to power 3) km respectively.

What is the orbital radius and speed of a synchronous satellite which orbits the earth once every 24 hours. Take G = 6.67 x 10 raise to power -11 Nm/Kg2, mass of the earth is 5.98 x 10 raise to power 24kg.

Given that the mass and radius of Jupiter are respectively 1.90 x 1027kg and 7.15 x 104 km, calculate the escape velocity from the surface of the planet.

A ball of mass 50g tied to the end of a 50cm inextensible string is whirled around in a vertical circle. Find the tension in the string when the ball is at the top of the circle. Take g=10ms2.

An upward force of 1.2 x104N acts on an elevator of mass 2.0x103kg. Calculate the acceleration of the elevator. Take g=9.8m/s2

A particular spring stretches 20 cm when a 500g mass is hung from it. Suppose a 2.0kg mass is attached to the string and it is displaced 40 cm from equilibrium position and released. Find the speed of the mass when x = 10 cm.

A racing car of mass 1000kg moves around a banked track at a constant speed of 30ms. Assuming the total reaction at the wheels is normal to the track and the horizontal radius is 100m. Calculate the angle of inclination of the track to the horizontal.

At what height above the earth’s surface would the acceleration due to gravity be 4.9m/s2? Assume the mean radius of the earth is 6.4x106m and the acceleration due to gravity on the earth surface is 9.8m/s2

A car with 80 cm diameter wheel starts from rest and accelerates uniformly to a velocity of 20 m/s in 9.0s. Find the angular acceleration in rad/s2.

A string of wood is wound around a wheel of radius 20cm. How large is the angle through which the wheel must turn to unwind 30cm of the string?