Consider the skier on a slope shown in Fig.2. Her mass including equipment is 70 kg.Calculate her acceleration if friction is known to be 45 N.
Question
Consider the skier on a slope shown in Fig.2. Her mass including equipment is 70 kg.Calculate her acceleration if friction is known to be 45 N.
Solution
To calculate the acceleration, we need to use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
The net force acting on the skier is the force of friction, which is given as 45 N. However, since friction acts to oppose the motion of the skier, we consider this force as negative.
So, the net force F is -45 N.
The mass m of the skier is given as 70 kg.
We can now calculate the acceleration a using the formula:
a = F/m
Substituting the given values into the formula, we get:
a = -45 N / 70 kg = -0.64 m/s²
So, the acceleration of the skier is -0.64 m/s². The negative sign indicates that the acceleration is acting to slow down the skier.
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