A cyclist was traveling 5 km/h when he observed a swarm of fierce bees behind him.he accelerate from 5 km/h to 42km/h within 15 second .his mass is 60kg and that of the bicycle 15 kg . Calculate the velocity n velocity in mass?
a = ∆v/t
F = ma
not sure what "velocity in mass" means
To calculate the change in velocity (Δv) for the cyclist, subtract the initial velocity (u) from the final velocity (v):
Δv = v - u
Δv = 42 km/h - 5 km/h
Δv = 37 km/h
Now, as the problem gives the time (t) in seconds, you need to convert the velocity from km/h to m/s. To do this, divide the velocity by 3.6:
Δv = 37 km/h ÷ 3.6
Δv ≈ 10.28 m/s
To calculate the force (F) required to accelerate the cyclist, you can use Newton's second law of motion:
F = m * Δv / t
where
F is the force,
m is the mass, and
t is the time taken.
The total mass (m) of the cyclist and the bicycle is given as 60 kg (cyclist) + 15 kg (bicycle) = 75 kg.
F = 75 kg * 10.28 m/s / 15 s
F ≈ 51 N
Thus, the force required to accelerate the cyclist is approximately 51 Newtons.
Now, to calculate the velocity in mass, you need to divide the force (F) by the total mass (m):
a = F / m
a = 51 N / 75 kg
a ≈ 0.68 m/s^2
Therefore, the velocity in mass is approximately 0.68 m/s^2.
To calculate the velocity, we will use the formula:
velocity = distance / time
In this case, we know the initial velocity is 5 km/h, and the final velocity is 42 km/h. We also have the time, which is 15 seconds. However, we don't have the distance.
To find the distance traveled, we can use the formula:
distance = average velocity * time
Average velocity can be calculated by adding the initial and final velocities and then dividing by 2.
average velocity = (initial velocity + final velocity) / 2
Now we can substitute the values and calculate the distance:
average velocity = (5 km/h + 42 km/h) / 2
average velocity = 47 km/h / 2
average velocity = 23.5 km/h
distance = average velocity * time
distance = 23.5 km/h * 15 sec
Before we calculate, we need to convert seconds to hours:
15 sec = 15/3600 hours (since 1 hour has 3600 seconds)
distance = 23.5 km/h * (15/3600) h
Now we can calculate the distance:
distance = 23.5 * (15/3600) km
distance ≈ 0.0979 km
Finally, we can calculate the final velocity by dividing the distance by the time:
velocity = distance / time
velocity = (0.0979 km) / (15 sec)
Converting seconds to hours:
15 sec = 15/3600 hours
velocity = (0.0979 km) / (15/3600 h)
velocity = (0.0979 km) / (15/3600) h
Now let's calculate:
velocity = (0.0979 km) / (15/3600) km/h
velocity ≈ 0.0412 km/h
The velocity of the cyclist is approximately 0.0412 km/h.
As for the velocity in mass, it seems like there may be a mistake or missing information in the question. Velocity is a measure of speed and direction, while mass is a measure of the amount of matter in an object. These two concepts are not directly related, so it does not make sense to calculate the "velocity in mass" in this context.