CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Distance

A ball moves ...

Question

A ball moves over a fixed track as shown in the figure. From A to B the ball rolls without slipping. If surface BC is frictionless and $K_{A}, K_{B}$ and $K_{C}$ are kinetic energies of the ball at A, B and C respectively, then

Open in App

Solution

$E_{a} = m g h_{A} + K_{a}$
$E_{B} = K_{B}$
$E_{c} = m g h_{C} + K_{C}$
Using conservation of energy-
$E_{A} = E_{B} = E_{C}$
$K_{b} >= K_{c}$
$M (h_{A} - h_{C}) + (K_{A} - K_{C})$
$h_{A} - h_{C} = \frac{K_{C} - K_{A}}{M g}$

Suggest Corrections

thumbs-up

0

Similar questions

A

ball moves over a fixed track as shown in the figure. From

A

B

the ball rolls without slipping. Surface BC is frictionless.

K_{A}, K_{B}

K_{c}

are kinetic energies of the ball at

A, B

C

, respectively. Then

Q. A ball moves over a fixed track as shown in figure. From

A

B

, the ball rolls without slipping. Surface

B C

is frictionless.

K_{A}, K_{B}

K_{C}

are kinetic energies of the ball at

A

B

C

respectively. Then choose the correct alternative below-

(a) h_{A} > h_{C}; K_{B} > K_{C} (b) h_{A} > h_{C}; K_{C} > K_{A} (c) h_{A} = h_{C}; K_{B} = K_{C} (d) h_{A} < h_{C}; K_{B} > K_{C}

Q. Two identical uniform solid spherical balls A and B of mass m each are placed on a the fixed wedge as shown in figure. Ball B is kept at rest and it is released just before two balls collides. Ball A rolls down without slipping on inclined plane and collide elastically with ball B. The kinetic energy of ball A just after the collision with ball B is:

Q. The kinetic energies of a planet in an elliptical orbit about the sun at positions

A

B

C

K_{A}

K_{B}

K_{C}

A C

is the major axis and

S B

is perpendicular to

A C

at the position of the sun

S

as shown in the figure with

S A < S B

Q. The ball rolls down without slipping (which is at rest at

a

a b

having friction. It rolls to a maximum height

h_{c}

b c

has no friction.

K_{a}, K_{b} a n d K_{c}

are kinetic energies at

a, b

c

.
Which of the following is correct ?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Distance and Displacement

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon