Charlotte is investigating Newton's second law of motion. She hypothesizes that if she applies a constant force of 10 N, then increasing the mass of the toy car will result in an increased acceleration. The results of her
experiment are in the table.
THE EFFECT OF THE MASS OF A TOY CAR ON ITS ACCELERATION
Force Applied (N) Mass of Toy Car (9) Acceleration of Toy Car
(m/s2)
10 N
1.0 m/s2
10 N
200 g
0.5 m/s2
10 N
0.3 m/s2
100 g
300 g
How should Charlotte phrase her conclusion?

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j