Question

Трамвай массой 20 т движется от остановки под действием силы 10кН.Найдите ускорение которое приобретает трамвай под действием этой силы. какую скорось будет иметь трамвай через 10с? Каким будет при этом перемещение?

Answer 1

Если трение не учитывается, то m*a=F   a=F/m=10 000/20 000=0,5 м/с2
V=a*t=0,5*10=5 м/с
S=a*t^2/2=0,5*100/2=25 м

Answer 2

Calculation of Acceleration and Velocity

To find the acceleration acquired by the tram under the given force and the velocity of the tram after 10 seconds, we can use the equations of motion.

The force acting on the tram is 10 kN (kilonewtons), and the mass of the tram is 20 t (tonnes). We need to convert the mass to kilograms before proceeding with the calculation.

1 tonne = 1000 kilograms

Therefore, the mass of the tram is 20,000 kilograms.

Calculation of Acceleration

The formula to calculate acceleration is:

acceleration = force / mass

Substituting the given values:

acceleration = 10,000 N / 20,000 kg

Simplifying the equation:

acceleration = 0.5 m/s^2

Therefore, the acceleration acquired by the tram under the given force is 0.5 m/s^2.

Calculation of Velocity after 10 seconds

To calculate the velocity of the tram after 10 seconds, we can use the equation of motion:

velocity = initial velocity + (acceleration * time)

Since the initial velocity is not given, we assume it to be zero as the tram starts from rest.

Substituting the values:

velocity = 0 + (0.5 m/s^2 * 10 s)

Simplifying the equation:

velocity = 5 m/s

Therefore, the tram will have a velocity of 5 m/s after 10 seconds.

Calculation of Displacement

To calculate the displacement of the tram, we can use the equation of motion:

displacement = (initial velocity * time) + (0.5 * acceleration * time^2)

Since the initial velocity is zero, the equation simplifies to:

displacement = 0.5 * acceleration * time^2

Substituting the values:

displacement = 0.5 * 0.5 m/s^2 * (10 s)^2

Simplifying the equation:

displacement = 25 meters

Therefore, the displacement of the tram after 10 seconds will be 25 meters.