Score: 66.6//140 X Question 12 Textbook Videos [+] Score on...

Score: 66.6//140 X Question 12 Textbook Videos [+] Score on last try: 0 of 10 pts. See Details for more. > Next question Get a similar question You can retry this question below 23 Let $f(t)$ be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any time $t$ can be determined from the weight using the forumula: $f'(t) = \frac{-4f(t)(3 + f(t))}{4}$ If there is 4 grams of solid at time $t = 2$ estimate the amount of solid 1 second later. 2.113 x grams Question Help: Message instructor Submit Question Jump to Answer Q Search hp

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00:01 Hi, in this question we have multiple questions.

00:03 So, here to find so we are given with a mass as 12 ounce we have to find in grams.

00:10 So, we have for first part we have 1 ounce is equal to 28 .35 grams and 12 ounce will be equal to 12 into 28 .35 which is equal to 340 .2 grams.

00:30 Then to find the weight in so weight in dynes we have w is equal to m into a.

00:38 So, this will be equal to it is 340 .2 into 9 .65 meter per second square.

00:46 So, acceleration is given.

00:47 So, we have this is so this is 3283 .3 dynes and we have so it is converted to so gram force.

01:01 So, it is so it will be equal to weight is so weight is 340 .2 grams into 9 .65 meter per second square divided by 9 .8 meter per second square.

01:19 So, we have weight is equal to so weight is 334 .8 gram force.

01:27 This is the first answer.

01:29 In the second part we are given with a mass and external vertical force and local gravity acceleration.

01:35 Now, here the external vertical force is acting upwards.

01:39 So, we have the formula for the acceleration is external force minus weight divided by mass.

01:47 So, on substituting the values we have 4 pound minus 0 .10 slug.

01:51 So, slug into so into 30 .5.

01:59 Divided by 10 or 0 .10 slugs.

02:03 So, acceleration a will be equal to 9 .5 fps square.

02:09 Then for the second part we have external forces acting.

02:14 So, this is in case of upwards and this is in case of downwards we have acceleration is equal to external force plus weight divided by m.

02:24 So, on substituting the values we have 4 pounds plus 0 .10 slug into 30 .5 fps divided by 0 .1.

02:36 So, 0 .1 slug.

02:38 So, we have the second case answer acceleration will be 70 .5 fps square.

02:45 In the third part we have the mass in the slug.

02:48 So, mass has to be converted we have 1 ton is equal to 2000 pound.

02:53 So, 1 ton is given as 2000 pound 10 ton will be equal to 20000 pound and 1 slug is 32 .17 pound square per feet.

03:09 So, mass will be in slugs it is equal to 20000 divided by 32 .17 which is equal to 621 .62 slugs.

03:19 This is the value of mass.

03:21 So, now to find the mass in kg we have 1 kg is equal to 2 .20462 pounds.

03:28 Therefore, we have mass in kg will be so it is 20000 pounds divided by 2 .20462...

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