- 1. The net force is calculated using Newton's Second Law, F = m * a. For the water skier, F = 79 kg * 1.4 m/s² = 110.6 N.
- 2. Rearranging Newton's Second Law to solve for mass gives m = F / a. For the object, m = 32 N / 0.88 m/s² ≈ 36.36 kg.
- 3a. Using F = m * a, the acceleration is a = F / m. For the cart, a = 15 N / 2.1 kg ≈ 7.14 m/s².
- 3b. Using the kinematic equation d = (1/2) * a * t² (since it starts from rest), we solve for time: t = √(2d / a). For the cart, t = √(2 * 2.8 m / 7.14 m/s²) ≈ √(0.784) ≈ 0.885 s.
- 4. First, find the mass of the box using its weight: W = m * g, so m = W / g = 666 N / 9.8 m/s² ≈ 67.96 kg. Then, use F = m * a to find acceleration: a = F / m = 777 N / 67.96 kg ≈ 11.43 m/s².
Parent Tip: Review the logic above to help your child master the concept of newtons second law worksheet.