Jimmy has caught two fish in Yellow Creek. He has tied the line holding the 4.30 kg steelhead trout to the tail of the 1.39 kg carp. To show the fish to a friend, he lifts upward on the carp with a force of 87.7 N. What is the tension of the rope connecting the steel trout and carp?
87.7 N is the weight of the two fishes together. M(steelhead)*g = 4.3 kg x 9.8 m/s^2 = 42.1 N is the weight of the steelhead by itself.
The rope tension supports whe weight of the steelhead.
so would u subtract the weight of the carp from 87.7N?
i tried it, but the answer didn't work out
To find the tension of the rope connecting the steelhead trout and carp, we need to determine the net upward force acting on the system.
First, let's calculate the total weight of the fishes. The weight of an object can be calculated using the formula:
weight = mass × acceleration due to gravity
Given:
Mass of the steelhead trout (m1) = 4.30 kg
Mass of the carp (m2) = 1.39 kg
Acceleration due to gravity (g) = 9.8 m/s^2 (approximate value)
Using the formula, we can calculate the weight of each fish:
Weight of the steelhead trout (W1) = m1 × g
Weight of the carp (W2) = m2 × g
Next, let's calculate the net upward force. The upward force (F) applied on the carp is equal to the tension in the rope connecting the two fishes. The net upward force can be calculated using the formula:
Net force = F - (W1 + W2)
Given:
Force applied on the carp (F) = 87.7 N
Weight of the steelhead trout (W1)
Weight of the carp (W2)
We can now substitute the values into the equation and solve for the tension (F):
Net force = F - (W1 + W2)
F = Net force + (W1 + W2)
Now, let's substitute the values into the equation and calculate the tension:
F = 87.7 N + (W1 + W2)
Substituting the respective values of W1 and W2:
F = 87.7 N + (m1 × g + m2 × g)
Now, calculate the values:
F = 87.7 N + (4.30 kg × 9.8 m/s^2 + 1.39 kg × 9.8 m/s^2)
Finally, calculate the tension (F):
F = 87.7 N + (42.14 N + 13.622 N)
F = 87.7 N + 55.762 N
F = 143.462 N
Therefore, the tension of the rope connecting the steelhead trout and carp is approximately 143.462 N.