Questions: A 60-Newton rightward force is applied to a 15-kg object to accelerate it to the right. The object encounters a friction force of 30 Newton. Fill in all blanks. (Use the approximation that g ~ 10 N / kg.) Fnorm = Fapp = Fgrav = Ffrict = m = a = Fnet =

A 60-Newton rightward force is applied to a 15-kg object to accelerate it to the right. The object encounters a friction force of 30 Newton. Fill in all blanks. (Use the approximation that g ~ 10 N / kg.) Fnorm = Fapp = Fgrav = Ffrict = m = a = Fnet =
Transcript text: A 60-Newton rightward force is applied to a $15-\mathrm{kg}$ object to accelerate it to the right. The object encounters a friction force of 30 Newton. Fill in all blanks. (Use the approximation that $\mathrm{g} \sim 10$ $\mathrm{N} / \mathrm{kg}$.) \[ \begin{array}{rlrl} \mathbf{F}_{\text {norm }} & =\square & \mathbf{F}_{\text {app }}=\square \\ \mathbf{F}_{\text {grav }} & =\square & \mathbf{F}_{\text {frict }}=\square \\ \mathbf{m} & =\square \\ \mathbf{a} & =\square & \mathbf{F}_{\text {net }}=\square \end{array} \]
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Solution

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Solution Steps

Step 1: Identify the given values

The problem states the following:

  • Applied force (Fapp) = 60 N to the right
  • Mass (m) = 15 kg
  • Friction force (Ffrict) = 30 N, opposing the motion (to the left)
  • Acceleration due to gravity (g) ≈ 10 N/kg
Step 2: Calculate the gravitational force (Fgrav)

The gravitational force is the weight of the object, calculated as: Fgrav = m * g Fgrav = 15 kg * 10 N/kg Fgrav = 150 N downwards

Step 3: Determine the normal force (Fnorm)

Since the object is moving horizontally, the normal force is equal in magnitude and opposite in direction to the gravitational force. Fnorm = Fgrav = 150 N upwards

Step 4: Calculate the net force (Fnet)

The net force is the vector sum of all horizontal forces acting on the object. In this case, it's the applied force minus the friction force: Fnet = Fapp - Ffrict Fnet = 60 N - 30 N Fnet = 30 N to the right

Step 5: Calculate the acceleration (a)

Newton's second law states Fnet = m * a. Therefore, the acceleration can be found by: a = Fnet / m a = 30 N / 15 kg a = 2 m/s² to the right

Final Answer

  • Fnorm = \\(\boxed{150 \text{ N}}\\)
  • Fapp = \\(\boxed{60 \text{ N}}\\)
  • Fgrav = \\(\boxed{150 \text{ N}}\\)
  • Ffrict = \\(\boxed{30 \text{ N}}\\)
  • m = \\(\boxed{15 \text{ kg}}\\)
  • a = \\(\boxed{2 \text{ m/s}^2}\\)
  • Fnet = \\(\boxed{30 \text{ N}}\\)
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