A truck has a velocity of 2 m /s at time t=0. It accelerates at 2 m / on seeing police .What is its velocity in m/s at a time of 2 sec
Initial velocity u = 2 m/s
final velocity = v m/s
Time duration = final time - initial time = 2-0 = 2 s
acceleration a = 2 m/s2
We know,
v = u + at
=> v =
=> v = 6 m/s
A sports car has a “lateral acceleration” of 0.96g = 9.4 m . This is the maximum centripetal acceleration the car can sustain without skidding out of a curved path. If the car is traveling at a constant 40 m/s on level ground, what is the radius R of the tightest unbanked curve it can negotiate?
The car is in uniform circular motion because it’s moving at a constant speed along a curve that is a segment of a circle. Hence we know
R== =170 m
This is the minimum turning radius because arad is the maximum centripetal acceleration.
An ideal gas is enclosed in a cylinder with a movable piston on top. The piston has a mass of 8 000 g and an area of 5.00 and is free to slide up and down, keeping the pressure of the gas constant. How much work is done as the temperature of 0.200 mol of the gas is raised from 20.0 C to 300C?
in isobaric process
Let, T= tension on the string
a = acceleration, m1 = mass of light body= 10 kg and m2= mass of heavy body = 20 kg
Now the tension in the string will be,
Mass of troly M = 200Kg
mass of child m = 20Kg
speed of trolley v = 36Km/hr=36 x 5/18 = 10m/s
Let v' be the final velocity of the trolley with respect to the ground.
Final velocity of the boy with respect to the ground =
from conservation of linear momentum
Time taken by the boy to run t = 10/4 = 2.5 sec
Distance moved by the trolley =
Moment of inetia of axis passing through its center and perpendicular to its plane:
I = ½ MR2
Using perpendicular axis theorem Ix +Iy = Iz ,so 2Id = ½ MR2
Moment of inetia of along its diameter Id = ¼MR2
And the radius of gyration MK2 = ¼MR2