A bullet with a mass of 0.05 kg is fired in a straight line at a 2 kg wheel with a radius of 0.3 m that is fixed to rotate about its center. Model the wheel
as a solid cylinder with I = % M R2. The bullet hits the wheel at a vertical
distance of y = 0.2 m above the center of the wheel and explodes through
to the other side. After the collision, the wheel is rotating with an angular
speed of 3 rad/s, while the bullet is moving at a translational speed of 50
m/s. Assume the system is isolated with negligible loss of mass in the
collision. Find the speed of the bullet before it collided with the wheel.
w = 3 rad /s
Ve=50 m/s
y= 0.2 m
m=0.05 kg
R=0.3 m
M= 2 kg

12000j is work done

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

snell's law

refractve index = sin incidence / sin refraction