A car of mass m moves in a horizontal circular path of radius r meter. At an instant its speed is `Vm//s` and is increasing at a rate of a `m//sec^(2)`. Then the acceleration of the car is:A. `(a^(2)+(v^(2))/(r))`B. `sqrt(a^(2)+((v^(2))/(r)))`C. `a^(2)+((v^(2))/(r))^(2)`D. `sqrt((a^(2))+((v^(2))/(r))^(2))`

A car of mass m moves in a horizontal circular path of radius r meter.

1.	A car of mass m moves in a horizontal circular path of radius r meter. At an instant its speed is `Vm//s` and is increasing at a rate of a `m//sec^(2)`. Then the acceleration of the car is:A. `(a^(2)+(v^(2))/(r))`B. `sqrt(a^(2)+((v^(2))/(r)))`C. `a^(2)+((v^(2))/(r))^(2)`D. `sqrt((a^(2))+((v^(2))/(r))^(2))`
Answer» Correct Answer - D `a=sqrt(a^(2)+((v^(2))/(r)))^(2)`

Discussion

No Comment Found

Related InterviewSolutions

A boy is deated on the top of a hemispherical mound of ice of radius R . He is given a little pucsh and starts sliding down the ice. If ice is frictionless , the boy will leave the ice at a point whose height isA. ` (3R)/(4)`B. `(2R)/(sqrt3)`C. `(2R)/(3)`D. `(R)/(3)`
Velocity of a particle moving in a curvilinear path varies with time as `v=(2t hat(i)+t^(2) hat(k))m//s`. Here t is in second. At `t=1` sA. acceleration of particle is `8 m//s^(2)`B. tangential acceleration of particle is `(6)/(sqrt(5)) m//s^(2)`C. radial acceleration of particle is `(2)/(sqrt(5))m//s^(2)`D. radius of curvature to the path is `(5 sqrt(5))/(2)m`
In all the four situations depicted in Table-1, a ball of mass `m` is connected to a string. In each case, find the tension in the string and match the appropriate entries is Table-2
The position vector of a particle in a circular motion about the origin sweeps out equal areal in equal time. ItsA. velocity remains constantB. speed remains constantC. accelertion remains constantD. tangential accelertion remains constant
The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time. ItsA. velocity remains constantB. speed remains constantC. acceleration remains constantD. tangential acceleration increases
The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time. ItsA. `(i),(ii)`B. `(ii),(iiI)`C. `(iii),(iv)`D. `(ii),(iv)`
A road is banked with an angle 0.01 radian .If the radiaus of the road is ` 80m (g=10 m//s^(2))`then the safe velocity for the drive will beA. `4.8 m//s`B. `2.8 m//s`C. `3.8 m//s`D. `5.8m//s`
A cyclist with combined mass 80 kg going around a curved road with a uniform speed `20 m//s`. He has to bend inward by an angle ` theta = tan^(-1)`(0.50) with the verticle , then the force of friction between road surface and tyres will be `(g=10m//s^(2)`A. 300 NB. 400 NC. 800 ND. 250 N
A block is released from rest at the top of an inclined plane which later curves into a circular track of radius `r` as shown in figure. Find the minimum height `h` from where it should be released so that it is able to complete the circle. A. `(R )/(2)`B. `(3R)/(2)`C. `zero`D. `(5R)/(2)`
A block is released from rest at the top of an inclined plane which later curves into a circular track of radius `r` as shown in figure. Find the minimum height `h` from where it should be released so that it is able to complete the circle.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment