help@askiitians.com

+91-87964 74404

Grade 9Mechanics

If the average velocity of a free falling body is numerically equal to half the acceleration due to gravity. Find the velocity of the body as it reaches the ground

sriram

8 Years agoGrade 9

2 Answers

Khimraj

8 Years ago

average velocity is given by $(1/T)\int_{0}^{T}vdt$ = g/2

$(1/T)\int_{0}^{T}gtdt$ = g/2

gT/2 = g/2

So T = 1 sec.

Then v = gt = 10*1 = 10 m/s.

Shamnas

8 Years ago

A freely falling body has average velocityV(av.) = (1/2). numerical value of g in m/ssuppose it travelled for t secsso velocity of striking the ground v = u + g.t = g.tif it has travelled a distance h in t secondsh= (1/2) g.t^2but the same distance it must have travelled with average velocity V(av.)h = V(av.). t =(g/2).t = (1/2) g.t^2therefore t= 1 sso, v = g.1 m/sthe velocity with which it strikes the ground = g m/s

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics

1 Answer Available

Last Activity: 10 Months ago

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11
21
31
41

mechanics

1 Answer Available

Last Activity: 10 Months ago

A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass

mechanics

2 Answers Available

Last Activity: 3 Years ago

An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?

mechanics

1 Answer Available

Last Activity: 3 Years ago

If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

mechanics

1 Answer Available

Last Activity: 3 Years ago

View all Questions