A person is driving a vehicle at uniform speed of 5 ms-1 on a level curved track of radius 5 m. The coefficient of static friction between tyres and road is 0.1. Will the person slip while taking the turn with the same speed ? Take g = 10 ms-2.
A person will slip, if v2 = 5 m2s-2
A person will slip, if v2 > 5 m2s-2
A person will slip, if v2 < 5 m2s-2
A person will not slip, if v2 > 5 m2s-2
A stone is thrown vertically at a speed of 30 ms-1 taking an angle of 45° with the horizontal. What is the maximum height reached by the stone ? Take g = 10 ms-2.
30 m
22.5 m
15 m
10 m
What is a period of revolution of the earth satellite ? Ignore the height of satellite above the surface of the earth. Given :
85 min
156 min
83.73 min
90 min
A rotating wheel changes angular speed from 1800 rpm to 3000 rpm to 20 s. What is the angular acceleration assuming to be uniform ?
An aeroplane executes a horizontal loop at a speed of 720 km/h with its wings banked at 45°. What is the radius of the loop ? Take g = 10 ms-2
4 km
4.5 km
7.2 km
2 km
A body having a moment of inertia about its axis of rotation equal to 3 kg m2 is rotating with angular velocity of 3 rad s-1. Kinetic energy of this rotating body is same as that of a body of mass 27 kg moving with a velocity v. The value of v is
1 ms-1
0.5 ms-1
2 ms-1
1.5 ms-1
A physical quantity Q is found to depend on observables x, y and z obeying relation . The percentage error in the measurements of x, y and z are 1 %, 2 % and 4 % respectively. What is percentage error in the quantity Q ?
4 %
3 %
11 %
1 %
C.
11 %