Answer:

Explanation:
In this case the kinetic energy of the bike is converted into the heat energy between the area of contact of tyre and the road. This happens due to the work done by the frictional force between the surface to stop the relative motion between the road and the tyre.
Given:
- normal force on the rear tyre,

(as given in the question that the rear tyre supports half the combined weight of the bike and the rider.)
- distance dragged while stopping the tyre,

- coefficient of kinetic friction between the surfaces,

<u>Now, frictional force between the surfaces:</u>



<u>Now, the work done by the kinetic friction:</u>



According to the energy conservation this amount of energy is converted into thermal energy between the surfaces in contact, i.e. road and the tyre.
Heat required to raise the temperature of water is given as

here we have
m = 100 g = 0.100 kg
s = 4183 J/kg C

now we can use the above equation


so here it requires 20920 J heat to raise the temperature of 100 g water by 50 degree C
Answer:

Explanation:
The formula for the single-slit diffraction is

where
y is the distance of the n-minimum from the centre of the diffraction pattern
D is the distance of the screen from the slit
d is the width of the slit
is the wavelength of the light
In this problem,


, with n=2 (this is the distance of the 2nd-order minimum from the central maximum)
Solving the formula for d, we find:

Answer:
L₁ = W×L / w
Explanation:
The scenario is shown in the image below.
<u>At the pivot point, the torque acting on this point must be zero so that there will be easy back and forth without the heavier child.</u>
<u>Torque created by lighter child + Torque created by the heavier child = 0</u>
Thus,
According to the axis system, the heavier child is left to the pivot (origin), so,
W×(- L ) + w× L₁ = 0
So,
<u>L₁ = W×L / w</u>
Answer:
Torque = 1191.68 N-m
Explanation:
Given data
mass m = 76 kg
standingdistance r = 1.6 m
Solution
we get here torque that si express as
torque = force × distance ................1
torque = r × F sin(theta)
and we know that
F = mg .........2
and g = 9.8 m/s²
put here value in equation 1 we get
Torque = 76 × 1.6 × 9.8 × sin(90)
Torque = 1191.68 N-m