Answer:

Explanation:
To determine the final temperature of the sample, we use the specific heat formular as follows:

Finally, the temperature of the aluminium sample has raised 18 K.
Answer:
The final velocity after the collision is 0.27 m/s.
Explanation:
Given that,
Mass of tiger, m = 0.195 kg
Initial speed of tiger model, v = 0.75 m/s
Mass of another clay model, m' = 0.335 kg
Initially, second model is at rest, v' = 0
We need to find the final velocity after the collision. It is a case of inelastic collision. Using the conservation of linear momentum as :

So, the final velocity after the collision is 0.27 m/s.
Answer:
a) 
b) 
c) 
d) 
e) 
Explanation:
At that energies, the speed of proton is in the relativistic theory field, so we need to use the relativistic kinetic energy equation.
(1)
Here β = v/c, when v is the speed of the particle and c is the speed of light in vacuum.
Let's solve (1) for β.

We can write the mass of a proton in MeV/c².

Now we can calculate the speed in each stage.
a) Cockcroft-Walton (750 keV)



b) Linac (400 MeV)



c) Booster (8 GeV)



d) Main ring or injector (150 Gev)



e) Tevatron (1 TeV)



Have a nice day!
Answer:
H = 5 m
Explanation:
As the person leaves the slide horizontally so the time taken by the person to hit the water is given as

so we can find the vertical velocity by which person will hit the water using kinematics



now the speed of the person at the end of the slide is given as



now by energy conservation we can find the initial height




Answer:
Explanation:
Number of turns
N = 210turns
Length of solenoid
l = 0.18m
Cross sectional area
A = 4cm² = 4 × 10^-4m²
A. Inductance L?
Inductance can be determined using
L = N²μA/l
Where
μ is a constant of permeability of the core
μ = 4π × 10^-7 Tm/A
A is cross sectional area
l is length of coil
L is inductance
Therefore
L = N²μA / l
L=210² × 4π × 10^-7 × 4 × 10^-4 / 0.18
L = 1.23 × 10^-4 H
L = 0.123 mH
B. Self induce EMF ε?
EMF is given as
ε = -Ldi/dt
Since rate of decrease of current is 120 A/s
Then, di/dt = —120A/s, since the current is decreasing
Then,
ε = -Ldi/dt
ε = - 1.23 × 10^-4 × -120
ε = 0.01478 V
ε ≈ 0.015 V