Study the distance-time graph, showing the distances that eight different things cover in 120 seconds or less. The letters below
correspond to the lines on the graph. For each object, calculate the average speed, and then match it with the closest correct answer.
A:
B:
C:
D:
E:
F:
G:
H:
A:
B:
C:
D:
E:
F:
G:
H:
1 answer:
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The amount of energy needed is 2093 J
Explanation:
The amount of energy needed to increase the temperature of a substance by is given by the equation
where
m is the mass of the substance
C is its specific heat capacity
is the increase in temperature
For the water in this problem, we have
m = 50.0 g = 0.050 kg
(specific heat capacity of water)
Therefore, the amount of energy needed is
Learn more about specific heat capacity:
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We can calculate the acceleration of Cole due to friction using Newton's second law of motion:
where
is the frictional force (with a negative sign, since the force acts against the direction of motion) and m=100 kg is the mass of Cole and the sled. By rearranging the equation, we find
Now we can use the following formula to calculate the distance covered by Cole and the sled before stopping:
where
is the final speed of the sled
is the initial speed
is the distance covered
By rearranging the equation, we find d:
where
Now we can use the following formula to calculate the distance covered by Cole and the sled before stopping:
where
By rearranging the equation, we find d: