Question

If a motorbike of mass 150 kg moving with the speed of 36 km/hr produces

acceleration of 5 m/s3

in 5 sec, What will be the power developed on it? ​

Answer 1

P = 7500 [W]

Step-by-step explanation:

First We must use Newton's second law to find the force. Newton's Second Law tells us that the sum of forces on a body is equal to the product of mass by acceleration.

∑F = m*a

where:

m = mass = 150 [kg]

a = acceleration = 5 [m/s²]

`F = 150*5\\F = 750 [N]`

We know that the work is determined by multiplying the force by the distance, in this way the units of the work are [N*m] which corresponds to 1 Joule [J].

And the power is determined by dividing the work by the time, in this way we have that [J/s] corresponds to 1 [W].

We must convert the speed from kilometers per hour to meters per second.

`36[km/hr]*1000[(m)/(1km)]*[(1hr)/(3600s) ]=10 [m/s]`

`P=F*v`

where:

P = power [W]

F = force = 750 [N]

v = 10 [m/s]

`P = 750*10\\P = 7500 [W]`