A cyclist is moving at a speed of 10 m/s. If he doubles his speed, how much more
Practice Questions
Q1
A cyclist is moving at a speed of 10 m/s. If he doubles his speed, how much more kinetic energy will he have? (2023)
4 times
2 times
3 times
1.5 times
Questions & Step-by-Step Solutions
A cyclist is moving at a speed of 10 m/s. If he doubles his speed, how much more kinetic energy will he have? (2023)
Step 1: Understand that Kinetic Energy (KE) is calculated using the formula KE = 0.5 * mass * speed^2.
Step 2: Identify the initial speed of the cyclist, which is 10 m/s.
Step 3: Calculate the initial Kinetic Energy using the formula: KE_initial = 0.5 * mass * (10 m/s)^2.
Step 4: Determine the new speed after doubling, which is 20 m/s (10 m/s * 2).
Step 5: Calculate the new Kinetic Energy using the formula: KE_new = 0.5 * mass * (20 m/s)^2.
Step 6: Compare the new Kinetic Energy to the initial Kinetic Energy to find the increase: KE_increase = KE_new - KE_initial.
Step 7: Since KE is proportional to the square of the speed, doubling the speed increases KE by a factor of 4.
Kinetic Energy – Kinetic Energy (KE) is calculated using the formula KE = 0.5 * m * v^2, where m is mass and v is velocity. It demonstrates that KE is proportional to the square of the speed.
Proportional Relationships – Understanding how changes in speed affect kinetic energy, specifically that doubling the speed results in a fourfold increase in kinetic energy.
