Answer:
0.99932188871837 rounded to 2 significant figures is 1.00m or 1.0m
Explanation:
Step 1 - First calculate the force with the formula: Force = mass × acceleration due to gravity/ (F=mg) {g= 9.8m/s²}
4.0kg × 9.8m/s² = 39.2 Newtons
Step 2 - Then calculate the Kinectic power with the following procedure:
Kinectic force = the coefficient of Kf × mg
0.50μ × 39.2 N = 19.6 Newtons of Kinectic force
Step 3 - Use the equation for Work that is = F×d; use the value of Kf and multiply it by the given distance
W = 19.6 N × 2.0m = 39.2 Joules of energy
↓Remember that the product of Work is Energy (W=E) and that in some cases, we can set W as = kinetic energy ( [tex]\frac{1}{2}[/tex]mass×velocity²) or as = gravitational potential energy (mass *acceleration due to gravity*height)
↑Since the unknown variable that we are told to find is 'height', let's use the second formula to help us solve the problem, where we said that GPE = mgh / PEg = mgh
Step 4 - Find the missing height using the formula, Energy gained from (W = mgh), by rewriting (mgh) to solve for h
39.2 J of E = 4.0kg × (9.8 m/s² × h)
h = [tex]\frac{PEg}{mg}[/tex]
h = [tex]\frac{39.2N}{9.8m/s{2} times 4.0kg}[/tex]
Height of box on-ramp = 1.0m
