The final velocity of the 14 kg object is 1.6 m/s in the same direction
Explanation:
We can solve this problem by using the law of conservation of momentum: the total momentum of the system must be conserved before and after the collision. Therefore, we can write
where:
is the mass of the first object
is the initial velocity of the first object
is the final velocity of the first object
is the mass of the second object
is the initial velocity of the second object
is the final velocity of the second object
Re-arranging the equation and substituting the values, we find:
And the direction is the same as the initial direction, since it has the same sign.
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Her mass is still 70 kg
Explanation:
The mass of an object is an intrinsec property of the object that gives a measure of the "amount of matter" inside the object.
Being an intrinsec property, it depends only on the object itself, not on its location: therefore, the mass of an object is always the same in different locations. Therefore, the mass of the astronaut in the spacecraft is still the same as if she was on the earth, 70 kg.
On the contrary, the weight of an object is the force of gravity acting on the object, and it is given by
where
m is the mass
g is the acceleration of gravity
While m is always the same, the value of g changes based on the location: therefore, the weight of an object changes depending on the location.
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Answer:
0.25 gram of neptunium is remaining
Explanation:
First we calculate the no. of half lives passed. For that we have formula:
n = t/T
where,
n = no. of half lives passed = ?
t = total time passed = 8 days (From Monday noon to Tuesday noon of following week)
T = Half Life Period = 2 days
Therefore,
n = 8 days/2 days
n = 4
Now, for the remaining mass of neptunium, we use the formula:
m = (mi)/(2)^n
where,
mi = initial mass of neptunium = 4.00 grams
m = remaining mass of neptunium = ?
Therefore,
m = 4 grams/2⁴
<u>m = 0.25 gram</u>
Answer:
68.75W
Explanation:
Heat transfer is describe as the flow of thermal energy as a result of changes in temperature between two or more bodies. Heat transferred via solid bodies is called conduction, and that associated with liquids and gases is called convection, and likewise, the one attributed to electromagnetical waves is called radiation.
heat transfer from the tube wall to the water = kA.ΔT
= 3500* π* (2.5 * 10⁻²)²/4 *40
= 68.75W
