Answer:


Explanation:
Recall the formula for linear momentum (p):
which in our case equals 26.4 kg m/s
and notice that the kinetic energy can be written in terms of the linear momentum (p) as shown below:

Then, we can solve for the mass (m) given the information we have on the kinetic energy and momentum of the particle:

Now by knowing the particle's mass, we use the momentum formula to find its speed:

Answer: Option <em>a.</em>
Explanation:
Kepler's 2nd law of planetary motion states:
<em>A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.</em>
It tells us that it doesn't matter how far Earth is from the Sun, at equal times, the area swept out by Earth's orbit it's always the same independently from the position in the orbit.
Answer:
m₁ = 0.37 kg
Explanation:
According to Law of conservation of energy:
Heat Lost by Aluminum = Heat Gained by Water
m₁C₁ΔT₁ = m₂C₂ΔT₂
where,
m₁ = mass of piece of aluminum = ?
C₁ = specific heat capacity of aluminum = 900 J/kg.°C
ΔT₁ = Change in temperature of aluminum = 250°C - 22°C = 228°C
m₂ = mass of water = 9 kg
C₂ = specific heat capacity of water = 4200 J/kg.°C
ΔT₁ = Change in temperature of aluminum = 22°C - 20°C = 2°C
Therefore,
m₁(900 J/kg.°C)(228 °C) = (9 kg)(4200 J/kg.°C)(2°C)
m₁ = (75600 J)/(205200 J/kg)
<u>m₁ = 0.37 kg</u>
The actual answer is 165 miles, but using significant figure rules the answer is 200. This is because the sig fig rules are as follows ...
<span>1. Non-zero digits are always significant.
2. Any zeros between two significant digits are significant.
<span>3. A final zero or trailing zeros in the decimal portion ONLY are significant.
</span></span>
So the zeroes in a number like 20 or 23,000 are NOT significant. When you add numbers you must find the addend with the lowest amount of significant figures and round the answer to that. In this case most of the addends only have one sig fig, so you round 165 to 200 to make it only have one sig fig.
As per Einstein's theory of relativity we know that when an object will move with the speed comparable to the speed of light then the length of the object will be different from its length at rest position
This is also known as length contraction theory
As we know here that

so here we know that
v = 0.95 c
so from above equation we will have


so here the length will be SHORTER