Mechanics | Relativity Answers

A motorcycle drives from A to B with a uniform speed of 30 km/h and return back with a speed of 20 km/h. Find the average speed

1,a cricket ball of mass m is hitted at an angle 45 degree to the horizontal with velocity v.what is its kinetic energy at the topmost point?

Obtain an expression for the time period of a satellite orbiting the earth. A space shuttle is in a
circular orbit at a height of 250 km from the earth’s surface, where the acceleration due to earth’s
gravity is 0.93 g. Calculate the period of its orbit. Take g = 9.8 ms−2 and the radius of the earth
R = 6.37 × 106m.

Can we move a merry-go-round by applying a force along the radial direction? Explain.

Derive an expression relating impulse and linear momentum. In a safety test, a car of mass
1000 kg is driven into a brick wall. Its bumper behaves like a spring (k = 5 × 106 Nm−1) and is
compressed by a distance of 3 cm as the car comes to rest. Determine the initial speed of the car.(5+5)

A bird flies in the east direction with a speed of 5 ms−1. The wind is blowing towards north at a
speed of 3 ms−1. Determine the relative velocity of the bird with respect to the wind. Draw
appropriate diagram for solving the problem.

A body covers the half part of journey with the speed of S0 (S knot) for the remaining half part ot time it moves with the speed of S1 and remaing of the part with S2 .calculate the average speed.

A particle moves along a semicircle of radius 10m in 5 seconds. What is the average velocity of the particle?

A toy cannon uses a spring to project a 5.39-g soft rubber ball. The spring is originally compressed by 4.99 cm and has a force constant of 8.03 N/m. When the cannon is fired, the ball moves 14.9 cm through the horizontal barrel of the cannon, and the barrel exerts a constant friction force of 0.031 3 N on the ball. At what point does the ball have maximum speed?

a body travel 200cm in the first 2sec and 220cm in the next 5sec.calculate the velocity at the end of the seventh second from the start.