If a child pulls a sled through the snow on a level path with a force of 70 N exerted at an angle of 38° above the horizontal, find the horizontal and vertical components of the force. (Enter your answers in N. Round your answers to one decimal place.)
Question
If a child pulls a sled through the snow on a level path with a force of 70 N exerted at an angle of 38° above the horizontal, find the horizontal and vertical components of the force. (Enter your answers in N. Round your answers to one decimal place.)
Solution
To find the horizontal and vertical components of the force, we can use trigonometry.
First, let's find the horizontal component of the force. We can use the formula: horizontal component = force * cos(angle).
Plugging in the values, we have: horizontal component = 70 N * cos(38°).
Calculating this, we get: horizontal component = 70 N * 0.7880 ≈ 55.16 N.
Next, let's find the vertical component of the force. We can use the formula: vertical component = force * sin(angle).
Plugging in the values, we have: vertical component = 70 N * sin(38°).
Calculating this, we get: vertical component = 70 N * 0.6157 ≈ 43.10 N.
Therefore, the horizontal component of the force is approximately 55.16 N and the vertical component of the force is approximately 43.10 N.
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