Solve the following questions. Show your solution.
1. A hiker climbs to the top of a 50-meter-high hill. If the hiker has a mass of 70 kg, how much
potential energy does the hiker gain? (Use = 9.8 m/s2 )
Given: m= 70 kg
h= 50 m
Required:
Equation:
Solution:
Answer:
2. A 3 kg ball is moving with a velocity of 4 m/s. What is the kinetic energy of the ball?
Given: m= 3 kg
v= 4 m/s
Required:
Equation:
Solution:
Answer:
Answer (2)
Answer:1. Potential Energy CalculationGiven:- Mass (m) = 70 kg- Height (h) = 50 m- Acceleration due to gravity (g) = 9.8 m/s²Required:- Potential Energy (PE)Equation:PE = m × g × hSolution:PE = 70 kg × 9.8 m/s² × 50 mPE = 34300 JAnswer:The potential energy gained is 34,300 Joules.2. Kinetic Energy CalculationGiven:- Mass (m) = 3 kg- Velocity (v) = 4 m/sRequired:- Kinetic Energy (KE)Equation:KE = 1/2 × m × v²Solution:KE = 1/2 × 3 kg × (4 m/s)²KE = 1/2 × 3 × 16KE = 24 JAnswer:The kinetic energy of the ball is 24 Joules.
PROBLEM 1:Given:m = 70 kgh = 50 mRequired:PEEquation:PE = mghSolution:PE = (70 kg)(9.8 m/s²)(50 m)Answer:PE = 34,300 JPROBLEM 2:Given:m = 3 kgv = 4 m/sRequired:KEEquation:KE = 1/2 mv²Solution:KE = (1/2)(3 kg)(4 m/s)²Answer:KE = 24 J
