The cart shown above had a mass 2kg. The cart is released from rest and slides from the top of an inclined friction-less plane of height 4m. a. Determine the speed of the cart when it reached the bottom of the incline.

b. After sliding down then incline and across the friction-less horizontal surface, the cart collided with a bumper of negligible mass attached to an ideal spring, which had a spring constant 1000N/m. Determine the distance the spring is compressed before the cart and bumper come to rest.

uranium fissions/breaks up giving out energy and neutrons

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

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.