a truck of mass 200 kg moving with velocity of 50m/s and hits a house and goes inside it. then find the acceleration of the truck if the velocity of the truck at the time of striking the house is 100m/s and time taken to hit the house is 5s. also find the force with which truck strike the house?
To find the acceleration of the truck, we can use the formula:
acceleration = (change in velocity) / (time taken)
Given that the initial velocity of the truck is 50 m/s and the final velocity at the time of striking the house is 100 m/s, the change in velocity is:
change in velocity = final velocity - initial velocity = 100 m/s - 50 m/s = 50 m/s
The time taken to hit the house is given as 5 seconds. So, we can now calculate the acceleration:
acceleration = (change in velocity) / (time taken)
acceleration = 50 m/s / 5 s
acceleration = 10 m/s²
Therefore, the acceleration of the truck is 10 m/s².
To find the force with which the truck strikes the house, we can use Newton's second law of motion:
force = mass × acceleration
Given that the mass of the truck is 200 kg and the acceleration is 10 m/s², we can substitute the values into the formula:
force = 200 kg × 10 m/s²
force = 2000 Newtons
Therefore, the force with which the truck strikes the house is 2000 Newtons.