What are the weight in Newtons and the mass in kilograms of (a) a 5.00-lb bag of sugar, (b) a240-lb fullback, and (c) a 1.80-ton car? (1 ton = 2000 lb.)

To solve this problem, we need to convert the weights from pounds to Newtons and the mass from pounds to kilograms.

We know that 1 lb is approximately equal to 0.453592 kg and 1 kg is approximately equal to 9.8 N (Newton).

(a) For a 5.00-lb bag of sugar:

First, convert the weight from pounds to kilograms: 5.00 lb * 0.453592 kg/lb = 2.26796 kg

Then, convert the mass from kilograms to Newtons: 2.26796 kg * 9.8 N/kg = 22.225608 N

So, the weight of the bag of sugar is approximately 22.23 N and the mass is approximately 2.27 kg.

(b) For a 240-lb fullback:

First, convert the weight from pounds to kilograms: 240 lb * 0.453592 kg/lb = 108.86208 kg

Then, convert the mass from kilograms to Newtons: 108.86208 kg * 9.8 N/kg = 1066.444384 N

So, the weight of the fullback is approximately 1066.44 N and the mass is approximately 108.86 kg.

(c) For a 1.80-ton car:

First, convert the weight from tons to pounds, then to kilograms: 1.80 ton * 2000 lb/ton * 0.453592 kg/lb = 1632.93248 kg

Then, convert the mass from kilograms to Newtons: 1632.93248 kg * 9.8 N/kg = 15982.736304 N

So, the weight of the car is approximately 15982.74 N and the mass is approximately 1632.93 kg.