Answer : The final temperature is, 
Explanation :
In this problem we assumed that heat given by the hot body is equal to the heat taken by the cold body.


where,
= specific heat of ice = 
= specific heat of water = 
= mass of ice = 50 g
= mass of water = 200 g
= final temperature = ?
= initial temperature of ice = 
= initial temperature of water = 
Now put all the given values in the above formula, we get:


Therefore, the final temperature is, 
Answer:
The value of the fund today is $13831.72
Explanation:
Let us calculate the value at the end of each year, step by step. An annual decrease of 3% corresponds to a multiplier 1.0-0.03 = 0.97. An increase of 7% corresponds to 1.07.
Value at the end of
year 1: 12000 * 0.97
year 2: 12000 * 0.97 * 0.97
year 3: 12000 * 0.97 * 0.97 * 1.07
year 4: 12000 * 0.97 * 0.97 * 1.07 * 1.07
year 5: 12000 * 0.97 * 0.97 * 1.07 * 1.07 * 1.07 = 13831.72
The value of the fund today (end of year 5) is $13831.72
Answer:
The direction of angular velocity and angular momentum are perpendicular to the plane of rotation. Using the right hand rule, the direction of both angular velocity and angular momentum is defined as the direction in which the thumb of your right hand points when you curl your fingers in the direction of rotation.
Explanation:
<span>A magnetic field would be produced by a beam of (3) protons.
Although you could easily make a case for any of these four options (the question is pretty ambiguous), there can be only one correct answer, which is the third option, in this case.
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Answer:
A. 5 m/s
Explanation:
From the graph, for the first 2 seconds, the graph is a straight line meaning that the slope is a constant.
Average speed of an object is the rate of change of position. Here, the position of the object changes from 0 m to 10 m for a time interval of 2 seconds.
The change in position (
) and time interval (
) are given as:

Therefore, the average speed (
) is given as the ratio of the total change in position and the time interval for the change.

Hence, the average speed is 5 m/s.