Answer:
ΔS = 3.09 J/K
Explanation:
Entropy is defined as the magnitude of disorder in a system. Mathematically, entropy change is given as, the heat absorbed or released by a system divided by the change in absolute temperature. So, the formula for entropy change is as follows:
ΔS = ΔQ/ΔT
where,
ΔS = Change in Entropy of Metal Wire = ?
ΔQ = Heat Conducted through Wire = 1216 J
ΔT = Difference in Temperature = 686 K - 292 K = 394 K
Therefore,
ΔS = 1216 J/394 K
<u>ΔS = 3.09 J/K</u>
Answer:
The block+bullet system moves 4 m before being stopped by the frictional force.
Explanation:
Using the law of conservation of llinear momentum and the work energy theorem, we can obtain this.
According to Newton's second law of motion
Momentum before collision = Momentum after collision
Momentum before collision = (0.02×400) + 0 (stationary block)
Momentum before collision = 8 kgm/s
Momentum after collision = (2+0.02)v
8 = 2.02v
v = 3.96 m/s.
According to the work-energy theorem,
The kinetic energy of the block+bullet system = work done by Friction to stop the motion of the block+bullet system
Kinetic energy = (1/2)(2.02)(3.96²) = 15.84 J
Work done by the frictional force = F × (distance moved by the force)
F = μmg = 0.2(2.02)(9.8) = 3.96 N
3.96d = 15.84
d = (15.84/3.96) = 4 m
Answer:
Acceleration up the ramp = -2.745 m/
Explanation:
Given
box is pulled at angle Θ = 
Force applied F = 185N
coefficient of friction, μ
= 0.27
mass of the box m = 35 kg
We know that,
acceleration due to gravity g = 9.8 m/
horizontal component
= F cosΘ = 185 * cos
=167.67
vertical component
= F sinΘ =185*sin
= 78.18
Another vertical component is due to gravity
, force in given by
= mg
= 35 x 9.8
= 343.35 N
Normal force
=
- 
= 343.35 - 78.18
= 265.17 N
Frictional force
=
* μ
= 265.17 * 0.27
= 71.596 N
To find acceleration, we know that,
force = mass x acceleration
acceleration = 
Here force is the summation of frictional force and horizontal component of the applied force. These force act in opposite directions.
force =
- 
= 71.596 - 167.67
= -96.074
acceleration = 
= -2.745 m/