Answer:
a) 4.2m/s
b) 5.0m/s
Explanation:
This problem is solved using the principle of conservation of linear momentum which states that in a closed system of colliding bodies, the sum of the total momenta before collision is equal to the sum of the total momenta after collision.
The problem is also an illustration of elastic collision where there is no loss in kinetic energy.
Equation (1) is a mathematical representation of the the principle of conservation of linear momentum for two colliding bodies of masses 
and 
whose respective velocities before collision are 
and 
;
where 
and 
are their respective velocities after collision.
Given;
Note that =0 because the second mass was at rest before the collision.
Also, since the two masses are equal, we can say that 
so that equation (1) is reduced as follows;
m cancels out of both sides of equation (2), and we obtain the following;
a) When 
, we obtain the following by equation(3)
b) As stops moving 
, therefore,
Get a pull chord light switch installed in her bathroom by a qualified electrician asap. Meanwhile, keep hands as dry as possible, and try not to go near that switch until it's either been properly earthed, or whatever the problem actually is, and get qualified advice on what the problem is. Don't have wet feet either, and don't stand in puddles of water whilst operating - i she has to - the switch. 250V AC mains can be lethal, and at least painful.
Answer:
μ = 0.189
Explanation:
The spring potential energy will convert to work of friction
Fd = ½kx²
μmgd = ½kx²
μ = kx²/2mgd
μ = 167(0.132²) / (2(2.77)(9.81)(0.284))
μ = 0.18852424...
Answer:
No. of 100 W bulbs, n = 28,539 bulbs
Given:
Power of a single bulb = 100 W
Time period, T = 1 yr = 
= 31,536,000 s
mass of matter, m = 1 g = ![1\times 10^{-3}]](https://tex.z-dn.net/?f=1%5Ctimes%2010%5E%7B-3%7D%5D)
Solution:
According to Eintein's mass-energy equivalence:
E = 
E = 
E = 
Power of a single bulb, P = 
P = 
P = 28,53,881 W
No. of 100 W bulbs, n = 
n = 
n = 28,539
