Answer:

Explanation:
The volumetric expansion of the liquid is given by

where
is the coefficient of volume expansion
is the initial volume
is the change in temperature
For the liquid in this problem,

So we can solve the equation to find
:

Answer: fourth option 1.2 × 10³ joules
Explanation:
1) kinetic energy is calculated as the half of the product of the mass times the square of the speed:
=> KE = (1/2) m × (v)²
2) you know the mass after the collision and the speed so you have all the data fo find the numerical value of the expression for KE:
m = m1 + m2 = 200 kg + 250 kg = 450 kg
KE = (1/2) × 450 kg × (2.3 m/s)² = 1,190.25 joules ≈ 1200 joules = 1.2 × 10³ joules, which is the last option of the list.
Answer:

Explanation:
The dot product of two vectors
and
is given by

The dot product of two orthogonal vector is always zero thus if
and
, their dot product would be




Answer:
(a) The x-component of velocity is 31.55 km/h
(b) The y-component of velocity is 44.92 km/hr
Solution:
As per the solution:
The relative position of ship A relative to ship B is 4.2 km north and 2.7 km east.
Velocity of ship A,
= 22 km/h towards South = 
Velocity of ship B,
= 39 km/h Towards North east at an angle of
= 
Now, the velocity of ship A relative to ship B:



Now,

