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