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

Byju's Answer

Standard XII

Physics

Partially Inelastic Collision

If a skater o...

Question

If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple) 5 m/s. Then the loss in K.E. is

48 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

96 J

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D None of these
Loss in K.E. = ( initial K.E. - final K.E. ) of system
$Δ K = \frac{1}{2} m_{1} u_{1}^{2} + \frac{1}{2} m_{2} u_{2}^{2} - \frac{1}{2} (m_{1} + m_{2}) V^{2}$

$= \frac{1}{2} 3 \times (32)^{2} + \frac{1}{2} \times 4 \times (5)^{2} - \frac{1}{2} \times (3 + 4) \times (5)^{2}$

$= 986.5 J$

Suggest Corrections

Similar questions

Q. A skater of weight

30 k g

has initial speed

32 m / s

and second one of weight

40 k g

has

5 m / s

. After the collision, they stick together and have a speed

5 m / s

. Then the loss in KE is

Q. A ball of 4 kg mass and a speed os

3 m s^{- 1}

has a head on elastic collision with 6 kg mass initially at rest. the speeds of both the bodies after collisiion are respectively.

Q. Two ice skaters

A

and

B

approach each other at right angles. Skater

A

has a mass

30 k g

and velocity

1 m / s

skater

B

has a mass

20 k g

and velocity

2 m / s .

They meet and cling together. Their final velocity of the couple is:

Q. Two ice skaters A and B approach each other at right angles. Skater A has a mass

30 kg

and velocity

1 m/s

skater B has a mass

20 kg

and velocity

2 m/s

. They meet and cling together. The final velocity of the couple is

Q. A

3 k g

sphere makes an inelastic collision with another sphere at rest and they stick together after collision. After collision, the composite mass move with a speed of

{(\frac{1}{4})}^{t h}

of the initial velocity of

3 k g

sphere. The mass of second sphere is:

Join BYJU'S Learning Program

If a skater of weight 3 kg has initial speed 32 m/s and second one of weight 4 kg has 5 m/s. After collision, they have speed (couple) 5 m/s. Then the loss in K.E. is

The correct option is D None of theseLoss in K.E. = ( initial K.E. - final K.E. ) of systemΔK=12m1u21+12m2u22−12(m1+m2)V2=123×(32)2+12×4×(5)2−12×(3+4)×(5)2=986.5J