A billiard ball collides with a stationary identical billiard ball to make it move. If the collision is perfectly elastic, the first ball comes to rest after collision.
<h3>Why does the first ball comes to rest after collision ?</h3>
Let m be the mass of the two identical balls.
u1 = velocity before the collision of ball 1
u2 = 0 = velocity of second ball that is at rest
v1 and v2 are the velocities of the balls after the collision.
From the conservation of momentum,
∴ mu1 + mu2 = mv1 + mv2
∴ mu1 = mv1 + mv2
∴ u1 = v1 + v2
In an elastic collision, the kinetic energy of the system before and after collision remains same.
∴
∴
∴ ₁₂ = 0
- It is impossible for the mass to be zero.
- Because the second ball moves, velocity v2 cannot be zero.
- As a result, the velocity of the first ball, v1, is zero, indicating that it comes to rest after collision.
<h3>What is collision ?</h3>
An elastic collision is a collision between two bodies in which the total kinetic energy of the two bodies remains constant. There is no net transfer of kinetic energy into other forms such as heat, noise, or potential energy in an ideal, fully elastic collision.
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Answer:
Explanation:
2.5 g of He = 2.5 / 4 mole
= .625 moles
9 g of oxygen = 9/32
= .28 mole of oxygen
C_p of He = 3/2 R
C_p of O₂ = 5/2 R
A ) Initial thermal energy of He = 3/2 n R T
= 1.5 x .625 x 8.32 x 300
= 2340 J
Initial thermal energy of O₂ = 5/2 n R T
= 2.5 x .28 x 8.32 x 620
= 3610.88 J
B ) If T be the equilibrium temperature after mixing
gain of heat by helium
= n C_p Δ T
= .625 x 3/2 R x ( T - 300 )
Loss of heat by oxygen
n C_p Δ T
= .28 x 5/2 R x ( 620 - T )
Loss of heat = gain of heat
.625 x 3/2 R x ( T - 300 ) = .28 x 5/2 R x ( 620 - T )
1.875 T- 562.5 = 868- 1.4 T
3.275 T = 1430,5
T = 436.8 K
Thermal energy of He
= 1.5 x .625 x 8.32 x 436.8
= 3407 J
thermal energy of O₂
= 2.5 x .28 x 8.32 x 436.8
= 2543.92 J
C )
Heat energy transferred
= .28 x 5/2 R x ( 620 - T )
= .28 x 5/2 x 8.32 x ( 620 - 436.8 )
1066.95 J
Heat will flow from O₂ to He
Final temperature is 436.8 K
The momentum of the rolling ball will have less momentum than before the collision and the stationary ball will have more momentum after the collusion.
Answer:
<h2>5.25 kg.m/s</h2>
Explanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question we have
momentum = 0.15 × 35
We have the final answer as
<h3>5.25 kg.m/s</h3>
Hope this helps you
Answer:
they don't strech so they tear a muscle when they perform
Explanation: