A 51-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 34.0° above the horizontal. If the tension in the rope is 115 N, how much work is done on the crate to move it 9.7 m
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Ratio
To find the work done on the crate, we can use the formula:
Work = Force * Distance * cos(angle)
First, let's break down the given information:
Mass of crate (m) = 51 kg
Angle (θ) = 34.0°
Tension in rope (F) = 115 N
Distance (d) = 9.7 m
Now, we can calculate the work done:
Work = Force * Distance * cos(angle)
Work = 115 N * 9.7 m * cos(34.0°)
To calculate the cos(34.0°), we can use a scientific calculator or a trigonometric table. The cosine of 34.0° is approximately 0.829.
Work ≈ 115 N * 9.7 m * 0.829
Now we can calculate the final answer:
Work ≈ 965.45 J
Therefore, the work done on the crate to move it 9.7 m is approximately 965.45 Joules.
924
Force (component along direction of motion) x distance
115 N * cos34 * 9.7 m = ___ Joules