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vredina [299]
2 years ago
4

A 40 kg gymnast somersaults into a foam ball pit at a speed of 7 m/s. If the foam applies an average resistive force of 1,000 N,

how far into the pit will the gymnast sink before she stops?
Physics
1 answer:
enot [183]2 years ago
3 0

The distance covered is 0.98 m

Explanation:

Newton's second law states that the force applied on the gymnast is equal to the product between its mass and its acceleration:

F=ma

where in this case,

F = -1000 N is the force applied (negative since it is opposite to the direction of motion)

m = 40 kg is the mass

a is the acceleration

Solving for a,

a=\frac{F}{m}=\frac{-1000}{40}=-25 m/s^2

Since the motion of the gymnast is a uniformly accelerated motion, we can now apply suvat equations:

v^2-u^2=2as

where

v = 0 is the final velocity of the gymnast

u = 7 m/s is the initial velocity

a=-25 m/s^2 is the acceleration

s is the distance through which the gymnast moves before stopping

And solving  for s,

s=\frac{v^2-u^2}{2a}=\frac{0-7^2}{2(-25)}=0.98 m

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

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Answer:

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Explanation:

Horizontal velocity component: Vx = V * cos(α)

5 0
2 years ago
You and your friend throw balloons filled with water from the roof of a several story apartment house. You simply drop a balloon
Aleks [24]

Answer:

Height = 53.361 m

Explanation:

There are two balloons being thrown down, one with initial speed (u1) = 0 and the other with initial speed (u2) = 43.12

From the given information we make the following summary

u_{1} = 0m/s

t_{1} = t

u_{2} = 43.12m/s

t_{2} = (t-2.2)s

The distance by the first balloon is

D = u_{1} t_{1}  + \frac{1}{2} at_{1}^2

where

a = 9.8m/s2

Inputting the values

D = (0)t + \frac{1}{2} (9.8)t^2\\ D = 4.9t^2

The distance traveled by the second balloon

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Inputting the values

D = (43.12)(t-2.2)  + \frac{1}{2} (9.8)(t-2.2)^2

simplifying

D = 4.9t^2 + 21.56t -71.148

Substituting D of the first balloon into the D of the second balloon and solving

4.9t^2 = 4.9t^2 + 21.56t -71.148 \\ 21.56t = 71.148\\ t = 3.3s

Now we know the value of t. We input this into the equation of the first balloon the to get height of the apartment

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7 0
2 years ago
You are wallpapering two walls of a room. One wall measures 15 ft by 12 ft and the other measures 9 ft by 12 ft. The wall paper
enyata [817]

Answer:

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Explanation:

wall 1 = 15 × 12 = 180

wall 2 = 9 × 12 = 108

now 1 roll covers 50 square feet

formula = wall 1 + wall 2 / 50

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= 288÷ 50

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A rocket moves through outer space a 12,000 m/s. At this time, how much time would be required to travel the distance from Earth
nexus9112 [7]
12000 m/s = 12 km/s. Now to go 380000 km, it will take some time. How much time is given in the formula 12km/s. You go 12 kilometers every second. So you take \frac{380000km}{12km/s} and that gives you 31,666.666 seconds. 
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2 years ago
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A red ball, initially at rest, is simultaneously hit by a blue ball traveling from west to east at 5 m/s and a green ball travel
andrezito [222]

Answer:

C. Between North and West

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Since all have equal masses and the red ball and green ball are moving in south and east direction, the blue ball would most likely be moving between the north and West direction.

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