Scientists observing a faraway star use Newton's law of universal gravitation and Kepler's laws of planetary motion to map out its motion. Scientists notice that periodically the star does not follow the predicted path. The star most likely does not follow the predicted path because A. the scientists do not have an accurate measurement of the mass of the star
B. Newton's law of universal gravitation does not yield accurate predictions for faraway objects
C. Kepler's laws of planetary motion do not apply to the motion of stars
D. there is probably a large planetary object nearby whose gravitational pull is not being taken into account
E. there is probably a large star nearby whose gravitational pull is not being taken into account

what was the acceleration of the 2 kg cart?

⇒ 16.0 cm/s2

what was the acceleration of the 4 kg cart?

⇒ 8.1 cm/s2

what was the acceleration of the 6 kg cart?

⇒ 5.3 cm/s2

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.

answera compound;

answeralert drivers who drift off the road;