Answer:
F = 385.56 N
Explanation:
Given that,
Mass, m = 37.8 kg
He applies a horizontal force and cross the wooden floor.
We need to find the force that must be applied to move a dog with a constant speed of 1 m/s.
The coefficient of kinetic friction between the dog in the floor is 1.02.
The net force acting on it is given by :
F = f- μmg
f is force due to constant speed, f = 0 (since, a = 0)
F = μmg
= 1.02 × 37.8 × 10
= 385.56 N
Hence, the required force is 385.56 N.
Yes, your weight can change if the force of gravity is different on a different planet.
Like
on the Moon because acceleration due to gravity is 1/6 that on the
Earth, your weight on the Moon would be 1/6 the value on the Earth.
But note that you mass remains the same.
Three forces involved in brushing your teeth are first push, then pull, then push.
A distance of d is covered with 53 mile/hr initially.
Time taken to cover this distance t1 = d/53 hour
Next distance of d is covered with x mile hours.
Time taken to cover this distance t2 = d/x hours.
We have average speed = 26.5 mile / hour
= Total distance traveled/ total time taken
= ![\frac{2d}{\frac{d}{53}+\frac{d}{x}} = \frac{2}{\frac{1}{53}+\frac{1}{x} } = \frac{106x}{x+53}](https://tex.z-dn.net/?f=%5Cfrac%7B2d%7D%7B%5Cfrac%7Bd%7D%7B53%7D%2B%5Cfrac%7Bd%7D%7Bx%7D%7D%20%3D%20%5Cfrac%7B2%7D%7B%5Cfrac%7B1%7D%7B53%7D%2B%5Cfrac%7B1%7D%7Bx%7D%20%7D%20%20%3D%20%5Cfrac%7B106x%7D%7Bx%2B53%7D)
![26.5 = \frac{106x}{x+53} \\ \\ 79.5 x = 1404.5\\ \\ x = 17.67 miles/hour](https://tex.z-dn.net/?f=26.5%20%3D%20%5Cfrac%7B106x%7D%7Bx%2B53%7D%20%5C%5C%20%5C%5C%2079.5%20x%20%3D%201404.5%5C%5C%20%5C%5C%20x%20%3D%2017.67%20miles%2Fhour)
Answer:
The answer is below
Explanation:
Let x represent the number of ounce of dairy based meal and let y represent the number of vegan option in ounce.
Since the diet must contain at least 2400 mg vitamin C, therefore:
50x + 20y ≥ 2400
Since the diet must contain at least 1800 mg Calcium, therefore:
30x + 20y ≥ 1200
Since the diet must contain at least 1200 calories, therefore:
10x + 40y ≥ 1200
Therefore the constraints are:
50x + 20y ≥ 2400
30x + 20y ≥ 1200
10x + 40y ≥ 1200
x > 0, y > 0
The graph was drawn using geogebra online graphing tool, and the solution to the problem is at:
C(30, 45) and D(48, 18)
dairy-based meal costs $0.042 per ounce and the vegan option costs $0.208 per ounce. The cost equation is:
Cost = 0.042x + 0.208y
At C(30, 45); Cost = 0.042(30) + 0.208(45) = $10.62
At C(48, 18); Cost = 0.042(48) + 0.208(18) = $5.76
The minimum cost is at (48, 18). That is 48 dairy based meal and 18 vegan