-how-much-force-is-needed-to-accelerate-a-66-kg-skier-at-2-m%2Fs2.jpeg "1) How Much Force Is Needed To Accelerate A 66 Kg Skier At 2 M/s2")
Calculating the Force Needed to Accelerate a Skier
Problem Statement
A 66 kg skier is moving on a frictionless surface. How much force is needed to accelerate the skier at a rate of 2 m/s²?
Physics Concepts
To solve this problem, we will use the following physics concepts:
- Force (F): the push or pull that causes an object to change its motion
- Mass (m): a measure of the amount of matter in an object
- Acceleration (a): the rate of change of velocity
The Formula
The formula to calculate the force needed to accelerate an object is given by:
F = ma
Where:
- F is the force (in Newtons, N)
- m is the mass of the object (in kilograms, kg)
- a is the acceleration (in meters per second squared, m/s²)
Calculations
Given values:
- m = 66 kg (mass of the skier)
- a = 2 m/s² (acceleration)
We need to find the force F.
F = ma = 66 kg × 2 m/s² = 132 N
Result
The force needed to accelerate the 66 kg skier at a rate of 2 m/s² is 132 Newtons.
