Shawn and his bike have a total mass of
51.1 kg. Shawn rides his bike 1.7 km in
10.7 min at a constant velocity.
The acceleration of gravity is 9.8 m/s squared.
What is Shawn’s kinetic energy?
Answer in units of J.
d = 1.7km * 1000m/km = 1700 m.
T = 10.7min * 60s./min = 642 s.
V = d/T = 1700m/642s. = 2.65 m/s.
KE = 0.5*M*V^2
179.4
Well, if Shawn is riding his bike at a constant velocity, that means he's not accelerating. So, his kinetic energy can be calculated using the formula KE = 1/2 * m * v^2, where KE is the kinetic energy, m is the mass, and v is the velocity.
First, let's convert the distance traveled from kilometers to meters: 1.7 km * 1000 = 1700 meters.
Next, let's convert the time from minutes to seconds: 10.7 min * 60 = 642 seconds.
Now, let's calculate the velocity: velocity = distance / time = 1700 m / 642 s ≈ 2.650 m/s (rounded to 3 decimal places).
Finally, let's plug in the values into the kinetic energy formula: KE = 1/2 * 51.1 kg * (2.650 m/s)^2.
Calculating that out gives us: KE = 1/2 * 51.1 kg * 7.0225 m^2/s^2 ≈ 186.653 Joules.
So, Shawn's kinetic energy is approximately 186.653 Joules. Keep on pedaling, Shawn!
To calculate Shawn's kinetic energy, we first need to calculate his velocity. We can do this using the distance and time information provided.
Step 1: Convert the distance from kilometers (km) to meters (m).
1 km = 1000 m
Therefore, 1.7 km = 1.7 * 1000 m = 1700 m.
Step 2: Convert the time from minutes (min) to seconds (s).
1 min = 60 s
Therefore, 10.7 min = 10.7 * 60 s = 642 s.
Step 3: Calculate the velocity using the formula velocity = distance / time.
velocity = 1700 m / 642 s = 2.649 meters per second (m/s).
Step 4: Use the formula for kinetic energy, which is given by the equation KE = (1/2) * mass * velocity^2.
mass = 51.1 kg
velocity = 2.649 m/s
KE = (1/2) * 51.1 kg * (2.649 m/s)^2
Step 5: Calculate the kinetic energy.
KE = (1/2) * 51.1 kg * (2.649 m/s)^2
KE = 0.5 * 51.1 kg * (2.649 m/s)^2
KE = 0.5 * 51.1 kg * 6.999401 m^2/s^2
KE = 173.83832 J
Therefore, Shawn's kinetic energy is 173.83832 J.
To find Shawn's kinetic energy, we need to use the formula:
Kinetic Energy (KE) = (1/2) * mass * velocity^2.
First, we need to find Shawn's velocity in m/s.
Given that Shawn rides his bike 1.7 km in 10.7 minutes at a constant velocity, we can convert kilometers to meters and minutes to seconds:
1.7 km = 1.7 * 1000 m = 1700 m.
10.7 min = 10.7 * 60 s = 642 s.
To find Shawn's velocity, we divide the distance by the time:
velocity = distance / time = 1700 m / 642 s.
Now, let's calculate the velocity:
velocity = 2.649 m/s (rounded to three decimal places).
Next, we can calculate Shawn's kinetic energy using the formula:
KE = (1/2) * mass * velocity^2.
Given that Shawn and his bike have a total mass of 51.1 kg, we can substitute the values:
KE = (1/2) * 51.1 kg * (2.649 m/s)^2.
Now we can solve for Shawn's kinetic energy:
KE = (1/2) * 51.1 kg * (2.649 m/s)^2 = 1/2 * 51.1 kg * 7.018 m^2/s^2.
Finally, calculating Shawn's kinetic energy:
KE = 183.4516 J (rounded to four decimal places).
Therefore, Shawn's kinetic energy is approximately 183.4516 Joules (J).